[
  {
    "path": ".gitattributes",
    "content": "* linguist-vendored\n*.py linguist-vendored=false"
  },
  {
    "path": ".github/workflows/codeql-analysis.yml",
    "content": "# For most projects, this workflow file will not need changing; you simply need\n# to commit it to your repository.\n#\n# You may wish to alter this file to override the set of languages analyzed,\n# or to provide custom queries or build logic.\n#\n# ******** NOTE ********\n# We have attempted to detect the languages in your repository. Please check\n# the `language` matrix defined below to confirm you have the correct set of\n# supported CodeQL languages.\n#\nname: \"CodeQL\"\n\non:\n  push:\n    branches: [ master ]\n  pull_request:\n    # The branches below must be a subset of the branches above\n    branches: [ master ]\n  schedule:\n    - cron: '17 10 * * 6'\n\njobs:\n  analyze:\n    name: Analyze\n    runs-on: ubuntu-latest\n    permissions:\n      actions: read\n      contents: read\n      security-events: write\n\n    strategy:\n      fail-fast: false\n      matrix:\n        language: [ 'python' ]\n        # CodeQL supports [ 'cpp', 'csharp', 'go', 'java', 'javascript', 'python' ]\n        # Learn more:\n        # https://docs.github.com/en/free-pro-team@latest/github/finding-security-vulnerabilities-and-errors-in-your-code/configuring-code-scanning#changing-the-languages-that-are-analyzed\n\n    steps:\n    - name: Checkout repository\n      uses: actions/checkout@v2\n\n    # Initializes the CodeQL tools for scanning.\n    - name: Initialize CodeQL\n      uses: github/codeql-action/init@v1\n      with:\n        languages: ${{ matrix.language }}\n        # If you wish to specify custom queries, you can do so here or in a config file.\n        # By default, queries listed here will override any specified in a config file.\n        # Prefix the list here with \"+\" to use these queries and those in the config file.\n        # queries: ./path/to/local/query, your-org/your-repo/queries@main\n\n    # Autobuild attempts to build any compiled languages  (C/C++, C#, or Java).\n    # If this step fails, then you should remove it and run the build manually (see below)\n    - name: Autobuild\n      uses: github/codeql-action/autobuild@v1\n\n    # ℹ️ Command-line programs to run using the OS shell.\n    # 📚 https://git.io/JvXDl\n\n    # ✏️ If the Autobuild fails above, remove it and uncomment the following three lines\n    #    and modify them (or add more) to build your code if your project\n    #    uses a compiled language\n\n    #- run: |\n    #   make bootstrap\n    #   make release\n\n    - name: Perform CodeQL Analysis\n      uses: github/codeql-action/analyze@v1\n"
  },
  {
    "path": ".github/workflows/python-app.yml",
    "content": "# This workflow will install Python dependencies, run tests and lint with a single version of Python\n# For more information see: https://help.github.com/actions/language-and-framework-guides/using-python-with-github-actions\n\nname: Python application\n\non:\n  push:\n    branches: [ master ]\n  pull_request:\n    branches: [ master ]\n\njobs:\n  build:\n\n    runs-on: ubuntu-latest\n\n    steps:\n    - uses: actions/checkout@v2\n    - name: Set up Python 3.9\n      uses: actions/setup-python@v2\n      with:\n        python-version: 3.9\n    - name: Install dependencies\n      run: |\n        python -m pip install --upgrade pip\n        pip install flake8 pytest\n        if [ -f requirements.txt ]; then pip install -r requirements.txt; fi\n    - name: Lint with flake8\n      run: |\n        # stop the build if there are Python syntax errors or undefined names\n        flake8 . --count --select=E9,F63,F7,F82 --show-source --statistics\n        # exit-zero treats all errors as warnings. The GitHub editor is 127 chars wide\n        flake8 . --count --exit-zero --max-complexity=10 --max-line-length=127 --statistics\n\n"
  },
  {
    "path": ".gitignore",
    "content": "# Byte-compiled / optimized / DLL files\n__pycache__/\n*.py[cod]\n*$py.class\n\n# C extensions\n*.so\n\nmain.py\nLearnedModel.pdf\n\n# Distribution / packaging\n.Python\nbuild/\ndevelop-eggs/\ndist/\ndownloads/\neggs/\n.eggs/\nlib/\nlib64/\nparts/\nsdist/\nvar/\nwheels/\npip-wheel-metadata/\nshare/python-wheels/\n*.egg-info/\n.installed.cfg\n*.egg\nMANIFEST\n\n# PyInstaller\n#  Usually these files are written by a python script from a template\n#  before PyInstaller builds the exe, so as to inject date/other infos into it.\n*.manifest\n*.spec\n\n# Installer logs\npip-log.txt\npip-delete-this-directory.txt\n\n# Unit test / coverage reports\nhtmlcov/\n.tox/\n.nox/\n.coverage\n.coverage.*\n.cache\nnosetests.xml\ncoverage.xml\n*.cover\n*.py,cover\n.hypothesis/\n.pytest_cache/\n\n# Translations\n*.mo\n*.pot\n\n# Django stuff:\n*.log\nlocal_settings.py\ndb.sqlite3\ndb.sqlite3-journal\n\n# Flask stuff:\ninstance/\n.webassets-cache\n\n# Scrapy stuff:\n.scrapy\n\n# Sphinx documentation\ndocs/_build/\n\n# PyBuilder\ntarget/\n\n# Jupyter Notebook\n.ipynb_checkpoints\n\n# IPython\nprofile_default/\nipython_config.py\n\n# pyenv\n.python-version\n\n# pipenv\n#   According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control.\n#   However, in case of collaboration, if having platform-specific dependencies or dependencies\n#   having no cross-platform support, pipenv may install dependencies that don't work, or not\n#   install all needed dependencies.\n#Pipfile.lock\n\n# PEP 582; used by e.g. github.com/David-OConnor/pyflow\n__pypackages__/\n\n# Celery stuff\ncelerybeat-schedule\ncelerybeat.pid\n\n# SageMath parsed files\n*.sage.py\n\n# Environments\n.env\n.venv\nenv/\nvenv/\nENV/\nenv.bak/\nvenv.bak/\n\n# Spyder project settings\n.spyderproject\n.spyproject\n\n# Rope project settings\n.ropeproject\n\n# mkdocs documentation\n/site\n\n# mypy\n.mypy_cache/\n.dmypy.json\ndmypy.json\n\n# Pyre type checker\n.pyre/\n.vscode/settings.json\n\n# PyCharm\n.idea/"
  },
  {
    "path": "Benchmarking/Benchmark_ErrorStop.py",
    "content": "import random\nimport os\n\nimport aalpy.paths\n\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.learning_algs import run_stochastic_Lstar\nfrom aalpy.oracles.RandomWordEqOracle import UnseenOutputRandomWordEqOracle\nfrom aalpy.utils import load_automaton_from_file, get_properties_file, get_correct_prop_values\nfrom aalpy.utils import model_check_experiment\nfrom aalpy.automata.StochasticMealyMachine import smm_to_mdp_conversion\n\nseeds = [1212,4557,19059,468,43,654,235345,6546,76768,4563,543526,777676,5555,776767,87878787,98989,60967553,3866677,1555841,8638]\n\npath_to_dir = '../DotModels/MDPs/'\nfiles = ['first_grid.dot', 'second_grid.dot'] # 'slot_machine.dot' ,'shared_coin.dot'  'mqtt.dot', 'tcp.dot'\n\nprop_folder = 'prism_eval_props/'\n\n# TODO Change the path to your PRIMS executable and change the path_to_prism in the stop_based_on_confidence method in ModelChecking.py.\nprism_executable = \"/home/mtappler/Programs/prism-4.4-linux64/bin/prism\"\n\naalpy.paths.path_to_prism =      \"C:/Program Files/prism-4.6/bin/prism.bat\"\naalpy.paths.path_to_properties = \"prism_eval_props/\"\n\nn_c = 20\nn_resample = 1000\nmin_rounds = 10\nmax_rounds = 300\nexperiment_repetition = 5\n\nuniform_parameters = False\nstrategy = [\"normal\"] # chi_square\ncex_sampling = [None] # random:100:0.15\ncex_processing = [None] # add a single prefix\n\nfor strat in strategy:\n    for cex_stat in cex_sampling:\n        for cex_proc in cex_processing:\n            print(strat, cex_stat, cex_proc)\n            benchmark_dir = f'FM_mdp_smm_error_based_stop/benchmark_{strat}_{cex_stat}_{cex_proc}/'\n            if not os.path.exists(benchmark_dir):\n                os.makedirs(benchmark_dir)\n            for seed in range(experiment_repetition):\n                print(seed)\n                random.seed(seeds[seed])\n\n                text_file = open(f\"{benchmark_dir}/exp_{seed}.csv\", \"w\")\n\n                for file in files:\n                    print(file)\n\n                    exp_name = file.split('.')[0]\n                    if uniform_parameters:\n                        if exp_name == 'first_grid':\n                            n_c, n_resample = n_c, n_resample\n                        elif exp_name == 'second_grid':\n                            n_c, n_resample = n_c, n_resample\n                        elif exp_name == 'shared_coin':\n                            n_c, n_resample = n_c, n_resample\n                        elif exp_name == 'slot_machine':\n                            n_c, n_resample = n_c, n_resample\n                        elif exp_name == 'mqtt':\n                            n_c, n_resample = n_c, n_resample\n                        elif exp_name == 'tcp':\n                            n_c, n_resample = n_c, n_resample\n                    else:\n                        if exp_name == 'first_grid':\n                            n_c, n_resample = 20, 1000\n                        elif exp_name == 'second_grid':\n                            n_c, n_resample = 20, 2000\n                        elif exp_name == 'shared_coin':\n                            n_c, n_resample = 25, 2500\n                        elif exp_name == 'slot_machine':\n                            n_c, n_resample = 30, 5000\n                        elif exp_name == 'mqtt':\n                            n_c, n_resample = 20, 1000\n                        elif exp_name == 'tcp':\n                            n_c, n_resample = 20, 1000\n\n                    stopping_data = (get_properties_file(exp_name), get_correct_prop_values(exp_name), 0.02)\n\n                    original_mdp = load_automaton_from_file(path_to_dir + file, automaton_type='mdp')\n                    input_alphabet = original_mdp.get_input_alphabet()\n\n                    mdp_sul = AutomatonSUL(original_mdp)\n\n                    eq_oracle = UnseenOutputRandomWordEqOracle(input_alphabet, mdp_sul, num_walks=150, min_walk_len=5,\n                                                               max_walk_len=15, reset_after_cex=True)\n\n                    learned_mdp, data_mdp = run_stochastic_Lstar(input_alphabet, mdp_sul, eq_oracle, automaton_type='mdp',\n                                                                 n_c=n_c, n_resample=n_resample, min_rounds=min_rounds, strategy=strat,\n                                                                 max_rounds=max_rounds, return_data=True, samples_cex_strategy=cex_stat,\n                                                                 print_level=1, cex_processing=cex_proc, property_based_stopping=stopping_data)\n\n                    del mdp_sul\n                    del eq_oracle\n                    random.seed(seeds[seed])\n                    mdp_sul = AutomatonSUL(original_mdp)\n\n                    eq_oracle = UnseenOutputRandomWordEqOracle(input_alphabet, mdp_sul, num_walks=150, min_walk_len=5,\n                                                               max_walk_len=15, reset_after_cex=True)\n\n                    learned_smm, data_smm = run_stochastic_Lstar(input_alphabet, mdp_sul, eq_oracle, automaton_type='smm',\n                                                                 n_c=n_c, n_resample=n_resample, min_rounds=min_rounds, strategy=strat,\n                                                                 max_rounds=max_rounds, return_data=True, samples_cex_strategy=cex_stat,\n                                                                 print_level=1, cex_processing=cex_proc, property_based_stopping=stopping_data)\n\n                    smm_2_mdp = smm_to_mdp_conversion(learned_smm)\n\n                    mdp_results, mdp_err = model_check_experiment(get_properties_file(exp_name),\n                                                                  get_correct_prop_values(exp_name), learned_mdp)\n                    smm_results, smm_err = model_check_experiment(get_properties_file(exp_name),\n                                                                  get_correct_prop_values(exp_name), smm_2_mdp)\n\n                    properties_string_header = \",\".join([f'{key}_val,{key}_err' for key in mdp_results.keys()])\n\n                    property_string_mdp = \",\".join([f'{str(mdp_results[p])},{str(mdp_err[p])}' for p in mdp_results.keys()])\n                    property_string_smm = \",\".join([f'{str(smm_results[p])},{str(smm_err[p])}' for p in smm_results.keys()])\n\n                    text_file.write('Exp_Name, n_c, n_resample, Final Hypothesis Size, Learning time,'\n                                    'Eq. Query Time, Learning Rounds, #MQ Learning, # Steps Learning,'\n                                    f'# MQ Eq.Queries, # Steps Eq.Queries , {properties_string_header}\\n')\n\n                    text_file.write(f'learned_mdp_{exp_name},{n_c},{n_resample}, {data_mdp[\"automaton_size\"]}, '\n                                    f'{data_mdp[\"learning_time\"]}, {data_mdp[\"eq_oracle_time\"]}, '\n                                    f'{data_mdp[\"learning_rounds\"]}, {data_mdp[\"queries_learning\"]}, {data_mdp[\"steps_learning\"]},'\n                                    f'{data_mdp[\"queries_eq_oracle\"]}, {data_mdp[\"steps_eq_oracle\"]},'\n                                    f'{property_string_mdp}\\n')\n\n                    text_file.write(f'learned_smm_{exp_name},{n_c},{n_resample}, {data_smm[\"automaton_size\"]}, '\n                                    f'{data_smm[\"learning_time\"]}, {data_smm[\"eq_oracle_time\"]}, '\n                                    f'{data_smm[\"learning_rounds\"]}, {data_smm[\"queries_learning\"]}, {data_smm[\"steps_learning\"]},'\n                                    f'{data_smm[\"queries_eq_oracle\"]}, {data_smm[\"steps_eq_oracle\"]},'\n                                    f'{property_string_smm}\\n')\n\n                    text_file.flush()\n\n                text_file.close()\n"
  },
  {
    "path": "Benchmarking/CompleteStochasticBenchmarking.py",
    "content": "import random\nimport time\n\nimport aalpy.paths\n\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.learning_algs import run_stochastic_Lstar\nfrom aalpy.oracles.RandomWordEqOracle import RandomWordEqOracle\nfrom aalpy.utils import load_automaton_from_file, get_properties_file, get_correct_prop_values\nfrom aalpy.utils import model_check_experiment\nfrom aalpy.automata.StochasticMealyMachine import smm_to_mdp_conversion\n\nseeds = [29334,1554,9430459,92344168,55451679,569315,7776892,3875261,811,51,766603,778438967,9819877,6755560,52903,5257,4635,358,1441,838]\n\npath_to_dir = '../DotModels/MDPs/'\n#files = ['first_grid.dot', 'second_grid.dot', 'slot_machine.dot', 'mqtt.dot', 'tcp.dot'] # 'slot_machine.dot' ,'shared_coin.dot'\nfiles = ['second_grid.dot', 'mqtt.dot'] # 'slot_machine.dot' ,'shared_coin.dot'\n\nprop_folder = 'prism_eval_props/'\n\n# TODO Change the path to your PRIMS executable\n\naalpy.paths.path_to_prism =      \"C:/Program Files/prism-4.6/bin/prism.bat\"\naalpy.paths.path_to_properties = \"prism_eval_props/\"\n\nn_c = 10\nn_resample = 1000\nmin_rounds = 25\nmax_rounds = 500\nexperiment_repetition = 10\n\nuniform_parameters = False\nstrategy = [\"normal\", \"chi2\"] # chi_square\ncex_sampling = ['bfs',] # random:100:0.15\ncex_processing = [None, 'longest_prefix'] # add a single prefix\nstart = time.time()\n\nmodel_dict = {m.split('.')[0] : load_automaton_from_file(path_to_dir + m, automaton_type='mdp') for m in files}\n\nfor strat in strategy:\n    for cex_stat in cex_sampling:\n        for cex_proc in cex_processing:\n            print(strat, cex_stat, cex_proc)\n            benchmark_dir = f'FM_mdp_smm/benchmark_22_04_{strat}_{cex_proc}/'\n            for seed in range(experiment_repetition):\n                print(seed)\n                random.seed(seeds[seed])\n                import os\n\n                if not os.path.exists(benchmark_dir):\n                    os.makedirs(benchmark_dir)\n                text_file = open(f\"{benchmark_dir}/exp_{seed}.csv\", \"w\")\n\n                for file in files:\n                    print(file)\n\n                    exp_name = file.split('.')[0]\n\n                    original_mdp = model_dict[exp_name]\n                    input_alphabet = original_mdp.get_input_alphabet()\n\n                    mdp_sul = AutomatonSUL(original_mdp)\n\n                    eq_oracle = RandomWordEqOracle(input_alphabet, mdp_sul, num_walks=150, min_walk_len=5,\n                                                               max_walk_len=16, reset_after_cex=True)\n\n                    learned_mdp, data_mdp = run_stochastic_Lstar(input_alphabet, mdp_sul, eq_oracle, automaton_type='mdp',\n                                                                 min_rounds=min_rounds, strategy=strat,\n                                                                 max_rounds=max_rounds, return_data=True, samples_cex_strategy=cex_stat,\n                                                                 print_level=1, cex_processing=cex_proc, target_unambiguity=0.99)\n\n                    del mdp_sul\n                    del eq_oracle\n                    random.seed(seeds[seed])\n                    mdp_sul = AutomatonSUL(original_mdp)\n\n                    eq_oracle = RandomWordEqOracle(input_alphabet, mdp_sul, num_walks=150, min_walk_len=5,\n                                                               max_walk_len=15, reset_after_cex=True)\n\n                    learned_smm, data_smm = run_stochastic_Lstar(input_alphabet, mdp_sul, eq_oracle, automaton_type='smm',\n                                                                 min_rounds=min_rounds, strategy=strat,\n                                                                 max_rounds=max_rounds, return_data=True, samples_cex_strategy=cex_stat,\n                                                                 print_level=1, cex_processing=cex_proc, target_unambiguity=0.99)\n\n                    smm_2_mdp = smm_to_mdp_conversion(learned_smm)\n\n                    mdp_results, mdp_err = model_check_experiment(get_properties_file(exp_name),\n                                                                  get_correct_prop_values(exp_name), learned_mdp)\n                    smm_results, smm_err = model_check_experiment(get_properties_file(exp_name),\n                                                                  get_correct_prop_values(exp_name), smm_2_mdp)\n\n                    properties_string_header = \",\".join([f'{key}_val,{key}_err' for key in mdp_results.keys()])\n\n                    property_string_mdp = \",\".join([f'{str(mdp_results[p])},{str(mdp_err[p])}' for p in mdp_results.keys()])\n                    property_string_smm = \",\".join([f'{str(smm_results[p])},{str(smm_err[p])}' for p in smm_results.keys()])\n\n                    text_file.write('Exp_Name,n_c,n_resample,Final Hypothesis Size,Learning time,'\n                                    'Eq. Query Time,Learning Rounds,#MQ Learning,# Steps Learning,'\n                                    f'# MQ Eq.Queries,# Steps Eq.Queries ,{properties_string_header}\\n')\n\n                    text_file.write(f'learned_mdp_{exp_name},{n_c},{n_resample},{data_mdp[\"automaton_size\"]},'\n                                    f'{data_mdp[\"learning_time\"]},{data_mdp[\"eq_oracle_time\"]},'\n                                    f'{data_mdp[\"learning_rounds\"]},{data_mdp[\"queries_learning\"]},{data_mdp[\"steps_learning\"]},'\n                                    f'{data_mdp[\"queries_eq_oracle\"]},{data_mdp[\"steps_eq_oracle\"]},'\n                                    f'{property_string_mdp}\\n')\n\n                    text_file.write(f'learned_smm_{exp_name},{n_c},{n_resample},{data_smm[\"automaton_size\"]},'\n                                    f'{data_smm[\"learning_time\"]},{data_smm[\"eq_oracle_time\"]}, '\n                                    f'{data_smm[\"learning_rounds\"]},{data_smm[\"queries_learning\"]},{data_smm[\"steps_learning\"]},'\n                                    f'{data_smm[\"queries_eq_oracle\"]},{data_smm[\"steps_eq_oracle\"]},'\n                                    f'{property_string_smm}\\n')\n\n                    text_file.flush()\n\n                text_file.close()\nprint('Exp duration', time.time() - start)\n"
  },
  {
    "path": "Benchmarking/StochasticAlgComparison.py",
    "content": "import random\nimport time\nfrom statistics import mean\n\nimport aalpy.paths\n\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.learning_algs import run_stochastic_Lstar, run_Alergia\nfrom aalpy.oracles.RandomWordEqOracle import RandomWordEqOracle\nfrom aalpy.utils import load_automaton_from_file, get_properties_file, get_correct_prop_values\nfrom aalpy.utils import model_check_experiment\nfrom aalpy.automata.StochasticMealyMachine import smm_to_mdp_conversion\n\npath_to_dir = '../DotModels/MDPs/'\nfiles = ['first_grid.dot', 'second_grid.dot', 'slot_machine.dot', 'mqtt.dot', 'tcp.dot', 'bluetooth.dot']  #\n\nprop_folder = 'prism_eval_props/'\n\naalpy.paths.path_to_prism = \"C:/Program Files/prism-4.6/bin/prism.bat\"\naalpy.paths.path_to_properties = \"prism_eval_props/\"\n\nmodel_dict = {m.split('.')[0]: load_automaton_from_file(path_to_dir + m, automaton_type='mdp') for m in files}\n\nfor file in files:\n    print(file)\n\n    exp_name = file.split('.')[0]\n\n    print('--------------------------------------------------')\n    print('Experiment:', exp_name)\n\n    original_mdp = model_dict[exp_name]\n    input_alphabet = original_mdp.get_input_alphabet()\n\n    mdp_sul = AutomatonSUL(original_mdp)\n\n    eq_oracle = RandomWordEqOracle(input_alphabet, mdp_sul, num_walks=500, min_walk_len=5,\n                                   max_walk_len=16, reset_after_cex=True)\n\n    learned_classic_mdp, data_mdp = run_stochastic_Lstar(input_alphabet, mdp_sul, eq_oracle, automaton_type='mdp',\n                                                         min_rounds=10, strategy='classic', n_c=20, n_resample=2000,\n                                                         stopping_range_dict={},\n                                                         max_rounds=200, return_data=True, target_unambiguity=0.98,\n                                                         print_level=1)\n\n    del mdp_sul\n    del eq_oracle\n\n    mdp_sul = AutomatonSUL(original_mdp)\n\n    eq_oracle = RandomWordEqOracle(input_alphabet, mdp_sul, num_walks=150, min_walk_len=5,\n                                   max_walk_len=15, reset_after_cex=True)\n\n    learned_smm, data_smm = run_stochastic_Lstar(input_alphabet, mdp_sul, eq_oracle, automaton_type='smm',\n                                                 min_rounds=10, strategy='normal',\n                                                 max_rounds=200, return_data=True, target_unambiguity=0.98,\n                                                 print_level=1)\n\n    smm_2_mdp = smm_to_mdp_conversion(learned_smm)\n\n    mdp_results, mdp_err = model_check_experiment(get_properties_file(exp_name),\n                                                  get_correct_prop_values(exp_name), learned_classic_mdp)\n    smm_results, smm_err = model_check_experiment(get_properties_file(exp_name),\n                                                  get_correct_prop_values(exp_name), smm_2_mdp)\n\n    num_alergia_samples = max([data_mdp[\"queries_learning\"] + data_mdp[\"queries_eq_oracle\"],\n                               data_smm[\"queries_learning\"] + data_smm[\"queries_eq_oracle\"]])\n\n    alergia_samples = []\n    for _ in range(num_alergia_samples):\n        sample = [mdp_sul.pre()]\n        for _ in range(random.randint(10, 30)):\n            action = random.choice(input_alphabet)\n            output = mdp_sul.step(action)\n            sample.append((action, output))\n        alergia_samples.append(sample)\n\n    alergia_model = run_Alergia(alergia_samples, automaton_type='mdp')\n\n    alergia_results, alergia_error = model_check_experiment(get_properties_file(exp_name),\n                                                            get_correct_prop_values(exp_name), alergia_model)\n\n    print('Classic MDP learning', mean(mdp_err.values()), mdp_err)\n    print('SMM learning', mean(smm_err.values()), smm_err)\n    print('Alergia learning', mean(alergia_error.values()), alergia_error)\n\n    print('Classic MDP traces', data_mdp[\"queries_learning\"] + data_mdp[\"queries_eq_oracle\"])\n    print('SMM learning traces', data_smm[\"queries_learning\"] + data_smm[\"queries_eq_oracle\"])"
  },
  {
    "path": "Benchmarking/StochasticBenchmarkingWPrism.py",
    "content": "import random\n\nimport aalpy.paths\n\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.learning_algs import run_stochastic_Lstar\nfrom aalpy.oracles.RandomWalkEqOracle import RandomWalkEqOracle\nfrom aalpy.utils import load_automaton_from_file, get_correct_prop_values, get_properties_file\nfrom aalpy.utils import model_check_experiment\nfrom aalpy.automata.StochasticMealyMachine import smm_to_mdp_conversion\n\npath_to_dir = '../DotModels/MDPs/'\nfiles = ['first_grid.dot', 'second_grid.dot',\n         'slot_machine.dot', 'mqtt.dot', 'tcp.dot']  # 'shared_coin.dot'\n\naalpy.paths.path_to_prism = \"C:/Program Files/prism-4.6/bin/prism.bat\"\naalpy.paths.path_to_properties = \"prism_eval_props/\"\n\nn_c = 20\nn_resample = 1000\nmin_rounds = 10\nmax_rounds = 1000\n\nstrategy = \"normal\"\n\nfor seed in range(1, 4):\n    random.seed(seed)\n    benchmark_dir = f\"benchmark_complete_no_cq/benchmark_data_{seed}\"\n    import os\n\n    if not os.path.exists(benchmark_dir):\n        os.makedirs(benchmark_dir)\n    text_file = open(f\"{benchmark_dir}/StochasticExperiments.csv\", \"w\")\n    uniform_parameters = True\n\n    for file in files:\n        exp_name = file.split('.')[0]\n        if uniform_parameters:\n            if exp_name == 'first_grid':\n                n_c, n_resample = n_c, n_resample\n            elif exp_name == 'second_grid':\n                n_c, n_resample = n_c, n_resample\n            elif exp_name == 'shared_coin':\n                n_c, n_resample = n_c, n_resample\n            elif exp_name == 'slot_machine':\n                n_c, n_resample = n_c, n_resample\n            elif exp_name == 'mqtt':\n                n_c, n_resample = n_c, n_resample\n            elif exp_name == 'tcp':\n                n_c, n_resample = n_c, n_resample\n        else:\n            if exp_name == 'first_grid':\n                n_c, n_resample = 20, 1000\n            elif exp_name == 'second_grid':\n                n_c, n_resample = 20, 1000\n            elif exp_name == 'shared_coin':\n                n_c, n_resample = 30, 3000\n            elif exp_name == 'slot_machine':\n                n_c, n_resample = 40, 5000\n            elif exp_name == 'mqtt':\n                n_c, n_resample = 20, 1000\n            elif exp_name == 'tcp':\n                n_c, n_resample = 20, 1000\n\n        original_mdp = load_automaton_from_file(path_to_dir + file, automaton_type='mdp')\n        input_alphabet = original_mdp.get_input_alphabet()\n\n        mdp_sul = AutomatonSUL(original_mdp)\n\n        eq_oracle = RandomWalkEqOracle(input_alphabet, mdp_sul, num_steps=n_resample * (1 / 0.25),\n                                       reset_after_cex=True, reset_prob=0.25)\n\n        learned_mdp, data_mdp = run_stochastic_Lstar(input_alphabet, mdp_sul, eq_oracle, automaton_type='mdp',\n                                                     n_c=n_c, n_resample=n_resample, min_rounds=min_rounds,\n                                                     strategy=strategy,\n                                                     max_rounds=max_rounds, return_data=True,\n                                                     samples_cex_strategy=\"bfs\")\n\n        mdp_sul.num_steps = 0\n        mdp_sul.num_queries = 0\n\n        learned_smm, data_smm = run_stochastic_Lstar(input_alphabet, mdp_sul, eq_oracle, automaton_type='smm',\n                                                     n_c=n_c, n_resample=n_resample, min_rounds=min_rounds,\n                                                     strategy=strategy,\n                                                     max_rounds=max_rounds, return_data=True,\n                                                     samples_cex_strategy=\"bfs\")\n\n        smm_2_mdp = smm_to_mdp_conversion(learned_smm)\n\n        mdp_results, mdp_err = model_check_experiment(get_properties_file(exp_name),\n                                                      get_correct_prop_values(exp_name), learned_mdp)\n        smm_results, smm_err = model_check_experiment(get_properties_file(exp_name),\n                                                      get_correct_prop_values(exp_name), smm_2_mdp)\n\n        properties_string_header = \",\".join([f'{key}_val,{key}_err' for key in mdp_results.keys()])\n\n        property_string_mdp = \",\".join([f'{str(mdp_results[p])},{str(mdp_err[p])}' for p in mdp_results.keys()])\n        property_string_smm = \",\".join([f'{str(smm_results[p])},{str(smm_err[p])}' for p in smm_results.keys()])\n\n        text_file.write('Exp_Name, n_c, n_resample, Final Hypothesis Size, Learning time,'\n                        'Eq. Query Time, Learning Rounds, #MQ Learning, # Steps Learning,'\n                        f'# MQ Eq.Queries, # Steps Eq.Queries , {properties_string_header}\\n')\n\n        text_file.write(f'learned_mdp_{exp_name},{n_c},{n_resample}, {data_mdp[\"automaton_size\"]}, '\n                        f'{data_mdp[\"learning_time\"]}, {data_mdp[\"eq_oracle_time\"]}, '\n                        f'{data_mdp[\"learning_rounds\"]}, {data_mdp[\"queries_learning\"]}, {data_mdp[\"steps_learning\"]},'\n                        f'{data_mdp[\"queries_eq_oracle\"]}, {data_mdp[\"steps_eq_oracle\"]},'\n                        f'{property_string_mdp}\\n')\n\n        text_file.write(f'learned_smm_{exp_name},{n_c},{n_resample}, {data_smm[\"automaton_size\"]}, '\n                        f'{data_smm[\"learning_time\"]}, {data_smm[\"eq_oracle_time\"]}, '\n                        f'{data_smm[\"learning_rounds\"]}, {data_smm[\"queries_learning\"]}, {data_smm[\"steps_learning\"]},'\n                        f'{data_smm[\"queries_eq_oracle\"]}, {data_smm[\"steps_eq_oracle\"]},'\n                        f'{property_string_smm}\\n')\n\n        text_file.flush()\n\n    text_file.close()\n"
  },
  {
    "path": "Benchmarking/StopWithErorrRate.py",
    "content": "import pickle\nimport random\nimport time\nfrom collections import defaultdict\nfrom statistics import mean\n\nimport aalpy.paths\n\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.learning_algs import run_stochastic_Lstar, run_Alergia\nfrom aalpy.oracles.RandomWordEqOracle import RandomWordEqOracle\nfrom aalpy.utils import load_automaton_from_file, get_properties_file, get_correct_prop_values, model_check_properties\nfrom aalpy.utils import model_check_experiment\nfrom aalpy.automata.StochasticMealyMachine import smm_to_mdp_conversion\n\npath_to_dir = '../DotModels/MDPs/'\nfiles = ['slot_machine.dot', 'bluetooth.dot']  #\nfiles = ['first_grid.dot', 'second_grid.dot', 'tcp.dot', 'mqtt.dot', 'bluetooth.dot', 'slot_machine.dot']\n\nprop_folder = 'prism_eval_props/'\n\naalpy.paths.path_to_prism = \"C:/Program Files/prism-4.6/bin/prism.bat\"\naalpy.paths.path_to_properties = \"prism_eval_props/\"\n\nmodel_dict = {m.split('.')[0]: load_automaton_from_file(path_to_dir + m, automaton_type='mdp') for m in files}\n\nmodel_type = ['smm']\ncex_processing = [None, 'longest_prefix', 'rs']\n# model_type.reverse()\n\nres = defaultdict(list)\n\n# for file in files:\n#     for mt in model_type:\n#         for cp in cex_processing:\n#             for _ in range(4):\n#\n#                 exp_name = file.split('.')[0]\n#\n#                 print('--------------------------------------------------')\n#                 print('Experiment:', exp_name, cp)\n#\n#                 original_mdp = model_dict[exp_name]\n#                 input_alphabet = original_mdp.get_input_alphabet()\n#\n#                 mdp_sul = AutomatonSUL(original_mdp)\n#\n#                 eq_oracle = RandomWordEqOracle(input_alphabet, mdp_sul, num_walks=500, min_walk_len=5,\n#                                                max_walk_len=15, reset_after_cex=True)\n#\n#                 pbs = ((get_properties_file(exp_name),\n#                         get_correct_prop_values(exp_name), 0.02 if exp_name != 'bluetooth' else 0.03))\n#                 learned_classic_mdp, data_mdp = run_stochastic_Lstar(input_alphabet, mdp_sul, eq_oracle, automaton_type=mt,\n#                                                                      min_rounds=10,\n#                                                                      #property_based_stopping=pbs,\n#                                                                      cex_processing=cp,\n#                                                                      samples_cex_strategy=None,\n#                                                                      return_data=True, target_unambiguity=0.98,\n#                                                                      print_level=1)\n#\n#                 res[exp_name].append((cp, data_mdp['queries_learning'] + data_mdp['queries_eq_oracle']))\n\n# with open('cex_processing_res.pickle', 'wb') as handle:\n#     pickle.dump(res, handle, protocol=pickle.HIGHEST_PROTOCOL)\n\nwith open('cex_processing_res.pickle', 'rb') as handle:\n    res = pickle.load(handle)\n\nfor key, val in res.items():\n    print(key)\n    sorted_by_cp = defaultdict(list)\n    for cp, data in val:\n        sorted_by_cp[cp].append(data)\n\n    for cp_method, data in sorted_by_cp.items():\n        print(cp_method)\n        print(mean(data), min(data), max(data))"
  },
  {
    "path": "Benchmarking/benchmark.py",
    "content": "import os\nfrom statistics import mean\n\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.learning_algs import run_Lstar\nfrom aalpy.oracles import StatePrefixEqOracle\nfrom aalpy.utils import load_automaton_from_file\n\ndfa_1000_states_20_inputs = '../DotModels/DFA_1000_states_20_inp'\ndfa_2000_states_10_inputs = '../DotModels/DFA_2000_states_10_inp'\nmoore_1000_states_20_inputs = '../DotModels/Moore_1000_states_20_inp_out'\nmoore_2000_states_10_inputs = '../DotModels/Moore_2000_states_10_inp_out'\nrun_times = []\n\n# change on which folder to perform experiments\nexp = dfa_2000_states_10_inputs\n\nbenchmarks = os.listdir(exp)\nbenchmarks = benchmarks[:10]\n\ncaching_opt = [True, False]\nclosing_options = ['shortest_first', 'longest_first', 'single']\nsuffix_processing = ['all', 'single']\ncounter_example_processing = ['rs', 'longest_prefix', None]\ne_closedness = ['prefix', 'suffix']\n\nfor b in benchmarks:\n    automaton = load_automaton_from_file(f'{exp}/{b}', automaton_type='dfa')\n    input_al = automaton.get_input_alphabet()\n\n    sul_dfa = AutomatonSUL(automaton)\n\n    state_origin_eq_oracle = StatePrefixEqOracle(input_al, sul_dfa, walks_per_state=5, walk_len=25)\n\n    learned_dfa, data = run_Lstar(input_al, sul_dfa, state_origin_eq_oracle, automaton_type='dfa',\n                            cache_and_non_det_check=False, cex_processing='rs', return_data=True, print_level=0)\n    run_times.append(data['total_time'])\n\nprint(run_times)\nprint(mean(run_times))\n"
  },
  {
    "path": "Benchmarking/benchmark_alphabet_increase.py",
    "content": "from statistics import mean\nimport csv\n\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.learning_algs import run_Lstar\nfrom aalpy.oracles import RandomWalkEqOracle\nfrom aalpy.utils import generate_random_dfa, generate_random_mealy_machine, generate_random_moore_machine\n\nnum_states = 1000\nalph_size = 5\n\nrepeat = 10\nnum_increases = 20\n\nstates = ['alph_size', alph_size]\ntimes_dfa = ['dfa_pypy_rs']\ntimes_mealy = ['mealy_pypy_rs']\ntimes_moore = ['moore_pypyrs']\n\ncex_processing = 'rs'\nfor i in range(num_increases):\n    print(i)\n    total_time_dfa = []\n    total_time_mealy = []\n    total_time_moore = []\n\n    for _ in range(repeat):\n        alphabet = list(range(alph_size))\n\n        dfa = generate_random_dfa(num_states, alphabet=alphabet, num_accepting_states=num_states // 2)\n        sul = AutomatonSUL(dfa)\n\n        # eq_oracle = StatePrefixEqOracle(alphabet, sul, walks_per_state=5, walk_len=40)\n        eq_oracle = RandomWalkEqOracle(alphabet, sul, num_steps=10000, reset_prob=0.09)\n\n        _, data = run_Lstar(alphabet, sul, eq_oracle, cex_processing=cex_processing, cache_and_non_det_check=False,\n                            return_data=True, automaton_type='dfa')\n\n        total_time_dfa.append(data['learning_time'])\n        del dfa\n        del sul\n        del eq_oracle\n\n        mealy = generate_random_mealy_machine(num_states, input_alphabet=alphabet, output_alphabet=alphabet)\n        sul_mealy = AutomatonSUL(mealy)\n\n        # eq_oracle = StatePrefixEqOracle(alphabet, sul_mealy, walks_per_state=5, walk_len=40)\n        eq_oracle = RandomWalkEqOracle(alphabet, sul_mealy, num_steps=10000, reset_prob=0.09)\n\n        _, data = run_Lstar(alphabet, sul_mealy, eq_oracle, cex_processing=cex_processing,\n                            cache_and_non_det_check=False,\n                            return_data=True, automaton_type='mealy')\n\n        total_time_mealy.append(data['learning_time'])\n\n        del mealy\n        del sul_mealy\n        del eq_oracle\n\n        moore = generate_random_moore_machine(num_states, input_alphabet=alphabet, output_alphabet=alphabet)\n        moore_sul = AutomatonSUL(moore)\n\n        # eq_oracle = StatePrefixEqOracle(alphabet, moore_sul, walks_per_state=5, walk_len=40)\n        eq_oracle = RandomWalkEqOracle(alphabet, moore_sul, num_steps=10000, reset_prob=0.09)\n\n        _, data = run_Lstar(alphabet, moore_sul, eq_oracle, cex_processing=cex_processing,\n                            cache_and_non_det_check=False,\n                            return_data=True, automaton_type='moore')\n\n        total_time_moore.append(data['learning_time'])\n\n    alph_size += 5\n    states.append(alph_size)\n\n    # save data and keep averages\n    times_dfa.append(round(mean(total_time_dfa), 4))\n    times_mealy.append(round(mean(total_time_mealy), 4))\n    times_moore.append(round(mean(total_time_moore), 4))\n\nwith open('increasing_alphabet_experiments.csv', 'w') as f:\n    wr = csv.writer(f, dialect='excel')\n    wr.writerow(states)\n    wr.writerow(times_dfa)\n    wr.writerow(times_mealy)\n    wr.writerow(times_moore)\n"
  },
  {
    "path": "Benchmarking/benchmark_size_increase.py",
    "content": "from statistics import mean\nimport csv\n\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.learning_algs import run_Lstar\nfrom aalpy.oracles import RandomWalkEqOracle\nfrom aalpy.utils import generate_random_dfa, generate_random_mealy_machine, generate_random_moore_machine\n\nnum_states = 100\nalphabet = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\n\nrepeat = 15\nnum_increases = 50\n\nstates = ['num_states']\ntimes_dfa = ['dfa_pypy_rs']\ntimes_mealy = ['mealy_pypy_rs']\ntimes_moore = ['moore_pypyrs']\ntotal_dfa = ['dfa_total']\ntotal_mealy = ['mealy_total']\ntotal__moore = ['moore_total']\n\ncex_processing = 'rs'\nfor i in range(num_increases):\n    print(i)\n    learning_time_dfa = []\n    learning_time_mealy = []\n    learning_time_moore = []\n\n    total_time_dfa = []\n    total_time_mealy = []\n    total_time_moore = []\n\n    states.append(num_states)\n\n    for _ in range(repeat):\n        dfa = generate_random_dfa(num_states, alphabet=alphabet, num_accepting_states=num_states // 2)\n        sul = AutomatonSUL(dfa)\n\n        # eq_oracle = StatePrefixEqOracle(alphabet, sul, walks_per_state=5, walk_len=40)\n        eq_oracle = RandomWalkEqOracle(alphabet, sul, num_steps=9000, reset_prob=0.09)\n\n        _, data = run_Lstar(alphabet, sul, eq_oracle, cex_processing=cex_processing, cache_and_non_det_check=False,\n                            return_data=True, automaton_type='dfa')\n\n        learning_time_dfa.append(data['learning_time'])\n        total_time_dfa.append(data['total_time'])\n\n        del sul\n        del eq_oracle\n        del dfa\n\n        mealy = generate_random_mealy_machine(num_states, input_alphabet=alphabet, output_alphabet=alphabet)\n        sul_mealy = AutomatonSUL(mealy)\n\n        # eq_oracle = StatePrefixEqOracle(alphabet, sul_mealy, walks_per_state=5, walk_len=40)\n        eq_oracle = RandomWalkEqOracle(alphabet, sul_mealy, num_steps=9000, reset_prob=0.09)\n\n        _, data = run_Lstar(alphabet, sul_mealy, eq_oracle, cex_processing=cex_processing,\n                            cache_and_non_det_check=False,\n                            return_data=True, automaton_type='mealy')\n\n        learning_time_mealy.append(data['learning_time'])\n        total_time_mealy.append(data['total_time'])\n\n        del mealy\n        del sul_mealy\n        del eq_oracle\n\n        moore = generate_random_moore_machine(num_states, input_alphabet=alphabet, output_alphabet=alphabet)\n        moore_sul = AutomatonSUL(moore)\n\n        # eq_oracle = StatePrefixEqOracle(alphabet, moore_sul, walks_per_state=5, walk_len=40)\n        eq_oracle = RandomWalkEqOracle(alphabet, moore_sul, num_steps=9000, reset_prob=0.09)\n\n        _, data = run_Lstar(alphabet, moore_sul, eq_oracle, cex_processing=cex_processing,\n                            cache_and_non_det_check=False,\n                            return_data=True, automaton_type='moore')\n\n        learning_time_moore.append(data['learning_time'])\n        total_time_moore.append(data['total_time'])\n\n    # save data and keep averages\n    times_dfa.append(round(mean(learning_time_dfa), 4))\n    times_mealy.append(round(mean(learning_time_mealy), 4))\n    times_moore.append(round(mean(learning_time_moore), 4))\n\n    total_dfa.append(round(mean(total_time_dfa), 4))\n    total_mealy.append(round(mean(total_time_mealy), 4))\n    total__moore.append(round(mean(total_time_moore), 4))\n\n    num_states += 100\n\nwith open('increasing_size_experiments.csv', 'w') as f:\n    wr = csv.writer(f, dialect='excel')\n    wr.writerow(states)\n    wr.writerow(times_dfa)\n    wr.writerow(times_mealy)\n    wr.writerow(times_moore)\n    wr.writerow(total_dfa)\n    wr.writerow(total_mealy)\n    wr.writerow(times_moore)\n"
  },
  {
    "path": "Benchmarking/cex_processing_benchmark.py",
    "content": "from collections import defaultdict\nfrom statistics import mean, stdev\n\nfrom aalpy.learning_algs import run_KV, run_Lstar\n\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.oracles import RandomWalkEqOracle\nfrom aalpy.utils import generate_random_deterministic_automata, bisimilar\n\ncounterexample_processing_strategy = ['rs', 'linear_fwd', 'linear_bwd', 'exponential_fwd', 'exponential_bwd']\nalgorithms = ['l_star', 'kv']\nmodel_sizes = [500]\nmodel_type = ['mealy', 'moore']\n# alphabet_sizes = [(3,2), (3, 5), (3, 10), (5, 2), (5, 5), (5, 20)]\nalphabet_sizes = [(5, 3)]\n\nnum_repetitions = 5\n\nfor learning_alg in algorithms:\n    results = defaultdict(list)\n    for model in model_type:\n        for model_size in model_sizes:\n            for input_size, output_size in alphabet_sizes:\n                for cex_processing in counterexample_processing_strategy:\n\n                    for _ in range(num_repetitions):\n                        random_model = generate_random_deterministic_automata(model, num_states=model_size,\n                                                                              input_alphabet_size=input_size,\n                                                                              output_alphabet_size=output_size)\n                        sul = AutomatonSUL(random_model)\n                        input_al = random_model.get_input_alphabet()\n                        eq_oracle = RandomWalkEqOracle(input_al, sul, num_steps=20000, reset_prob=0.09)\n\n                        if learning_alg == 'kv':\n                            learned_model, info = run_KV(input_al, sul, eq_oracle,\n                                                         automaton_type=model, cex_processing=cex_processing,\n                                                         return_data=True, print_level=0)\n                        else:\n                            learned_model, info = run_Lstar(input_al, sul, eq_oracle,\n                                                            automaton_type=model, cex_processing=cex_processing,\n                                                            return_data=True, print_level=0)\n                        results[cex_processing].append(info['steps_learning'])\n\n                        if not bisimilar(learned_model, random_model):\n                            print(learning_alg, cex_processing, 'mismatch')\n\n    print(learning_alg)\n    for k, v in results.items():\n        print(k, mean(v), stdev(v), min(v), max(v))\n"
  },
  {
    "path": "Benchmarking/compare_lstar_and_kv.py",
    "content": "from aalpy.SULs import AutomatonSUL\nfrom aalpy.learning_algs import run_Lstar, run_KV\nfrom aalpy.oracles import RandomWordEqOracle\nfrom aalpy.utils import generate_random_deterministic_automata\n\nautomata_type = ['dfa', 'mealy', 'moore']\nautomata_size = [10, 100, 500, 1000,]\ninput_sizes = [2, 3]\noutput_sizes = [2, 3, 5, 10]\n\ntest_models = []\nfor model_type in automata_type:\n    for size in automata_size:\n        for i in input_sizes:\n            for o in output_sizes:\n                random_model = generate_random_deterministic_automata(model_type, size, i, o, num_accepting_states=size//8)\n                input_al = random_model.get_input_alphabet()\n\n                print('------------------------------------------')\n                if model_type != 'dfa':\n                    print(f'Type: {model_type}, size: {size}, # inputs: {i}, # outputs: {o}')\n                else:\n                    print(f'Type: {model_type}, size: {size}, # inputs: {i}, # accepting: {size//8}')\n\n                # Lstar\n                sul = AutomatonSUL(random_model)\n                eq_oracle = RandomWordEqOracle(input_al, sul, num_walks=5000, min_walk_len=10, max_walk_len=40)\n                l_star_model, l_star_info = run_Lstar(input_al, sul, eq_oracle, model_type, print_level=0, return_data=True)\n\n                l_star_steps, l_star_queries = l_star_info['steps_learning'], l_star_info['queries_learning']\n\n                # KV\n                sul = AutomatonSUL(random_model)\n                eq_oracle = RandomWordEqOracle(input_al, sul, num_walks=5000, min_walk_len=10, max_walk_len=40)\n                kv_model, kv_info = run_KV(input_al, sul, eq_oracle, model_type, print_level=0, return_data=True)\n\n                kv_steps, kv_queries = kv_info['steps_learning'], kv_info['queries_learning']\n\n                if l_star_model.size != random_model.size:\n                    print('L* did not learn correctly.')\n                if kv_model.size != random_model.size:\n                    print('KV did not learn correctly.')\n\n                print(f'L* steps: {l_star_steps}')\n                print(f'KV steps: {kv_steps}')\n                if kv_steps < l_star_steps:\n                    print(f'KV is {round((l_star_steps / kv_steps) * 100 - 100, 2)}% more step efficient')\n                else:\n                    print(f'L* is {round((kv_steps / l_star_steps) * 100 - 100, 2)}% more step efficient')\n\n\n\n\n"
  },
  {
    "path": "Benchmarking/error_benchmark_statistics.py",
    "content": "import csv\nimport os\nfrom collections import defaultdict\nfrom statistics import mean\n\ndirectory = 'FM_mdp_smm_error_based_stop/benchmark_no_cq_bfs_longest_prefix/'\n\nbenchmarks = os.listdir(directory)[:-1]\n\nbenchmarks.remove('exp_14.csv')\n\nvalues = dict()\n\nfor file in benchmarks:\n    with open(directory + file, 'r') as f:\n        reader = csv.reader(f)\n        data = list(reader)\n\n        for i in range(0, len(data), 3):\n            header = data[i]\n            mdp, smm = data[i + 1], data[i + 2]\n\n            for formalism in [mdp, smm]:\n                for i, val in enumerate(formalism[1:]):\n                    if formalism[0] not in values.keys():\n                        values[formalism[0]] = defaultdict(list)\n                    values[formalism[0]][header[i + 1]].append(round(float(val), 2))\n\nmin_values_dict = dict()\nmax_values_dict = dict()\navr_values_dict = dict()\n\nfor exp in values:\n    exp_name = exp[12:]\n    formalism = 'smm' if 'smm' in exp else 'mdp'\n\n    name = f'{exp_name}_{formalism}'\n    min_values_dict[name] = dict()\n    max_values_dict[name] = dict()\n    avr_values_dict[name] = dict()\n\n    for category, value in values[exp].items():\n        min_values_dict[name][category] = min(value)\n        max_values_dict[name][category] = max(value)\n        avr_values_dict[name][category] = round(mean(value), 2)\n\ninteresting_fields = [' Learning time', ' Learning Rounds', ' #MQ Learning', ' # Steps Learning']\n\nprint('ALL ERRORS ARE LESS THAN 2%. THAT WAS USED AS STOPPING CRITERION')\nexperiments = list(min_values_dict.keys())\nfor e_index in range(0, len(experiments), 2):\n    for i in interesting_fields:\n        print(f'{experiments[e_index]} vs {experiments[e_index + 1]} = > {i}')\n        min_eff = round(min_values_dict[experiments[e_index]][i] / min_values_dict[experiments[e_index + 1]][i]*100 , 2)\n        print(f'Min : {min_values_dict[experiments[e_index]][i]} vs {min_values_dict[experiments[e_index + 1]][i]} | SMM efficiency : {min_eff}')\n        max_eff = round(max_values_dict[experiments[e_index]][i] / max_values_dict[experiments[e_index + 1]][i]*100 , 2)\n        print(f'Max : {max_values_dict[experiments[e_index]][i]} vs {max_values_dict[experiments[e_index + 1]][i]} | SMM efficiency : {max_eff}')\n        avr_eff = round(avr_values_dict[experiments[e_index]][i] / avr_values_dict[experiments[e_index + 1]][i]*100 , 2)\n        print(f'Avr : {avr_values_dict[experiments[e_index]][i]} vs {avr_values_dict[experiments[e_index + 1]][i]}| SMM efficiency : {avr_eff}')\n\n    print('-------------------------------------------------')\n\nwith open('error_benchmark.csv', 'w',newline='') as file:\n    writer = csv.writer(file)\n\n    experiments = list(min_values_dict.keys())\n    for e_index in range(0, len(experiments), 2):\n        writer.writerow([experiments[e_index][:-4], 'mdp', 'smm', 'smm compared to mdp efficiency %'])\n        for i in interesting_fields:\n            print(f'{experiments[e_index]} vs {experiments[e_index + 1]} = > {i}')\n            min_eff = round(min_values_dict[experiments[e_index]][i] / min_values_dict[experiments[e_index + 1]][i]*100 , 2)\n            writer.writerow([i + '_min', min_values_dict[experiments[e_index]][i], min_values_dict[experiments[e_index + 1]][i], min_eff])\n            max_eff = round(max_values_dict[experiments[e_index]][i] / max_values_dict[experiments[e_index + 1]][i]*100 , 2)\n            writer.writerow([i + '_max', max_values_dict[experiments[e_index]][i], max_values_dict[experiments[e_index + 1]][i], max_eff])\n            avr_eff = round(avr_values_dict[experiments[e_index]][i] / avr_values_dict[experiments[e_index + 1]][i]*100 , 2)\n            writer.writerow([i + '_avr', avr_values_dict[experiments[e_index]][i], avr_values_dict[experiments[e_index + 1]][i], avr_eff])\n        writer.writerow([])\n\n        print('-------------------------------------------------')\n\n"
  },
  {
    "path": "Benchmarking/evaluate_l_star_configurations.py",
    "content": "import pickle\nfrom collections import defaultdict\nfrom random import seed\nfrom statistics import mean\n\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.learning_algs import run_Lstar\nfrom aalpy.oracles import StatePrefixEqOracle, RandomWMethodEqOracle, RandomWalkEqOracle, RandomWordEqOracle\nfrom aalpy.utils import generate_random_deterministic_automata\n\n#closing_strategies = ['shortest_first']\n\nclosing_strategies = ['shortest_first', 'longest_first', 'single', 'single_longest']\nobs_table_cell_prefixes = [True, False]\nsuffix_closed = [True, False]\ncex_processing = [None, 'longest_prefix', 'rs']\n\nautomata_size = [400 ]\ninput_sizes = [2,]\noutput_sizes = [3, ]\nnum_repeats = 10\n\ntest_models = []\nfor size in automata_size:\n    for i in input_sizes:\n        for o in output_sizes:\n            random_model = generate_random_deterministic_automata('dfa', size, i, o, num_accepting_states=30)\n            test_models.append(random_model)\n\ntc = 0\nnum_exp = len(test_models) * len(closing_strategies) * len(suffix_closed) * num_repeats * len(cex_processing) * len(obs_table_cell_prefixes)\nstats = defaultdict(list)\nfor test_model in test_models:\n    input_al = test_model.get_input_alphabet()\n    for closedness_type in suffix_closed:\n        for closing_strategy in closing_strategies:\n            for cex in cex_processing:\n                for prefix_in_cell in obs_table_cell_prefixes:\n                    for _ in range(num_repeats):\n                        tc += 1\n                        print(round(tc / num_exp * 100, 2))\n                        # seed(tc)\n                        sul = AutomatonSUL(test_model)\n                        eq_oracle = RandomWordEqOracle(input_al, sul, num_walks=5000, min_walk_len=10, max_walk_len=40)\n                        model, info = run_Lstar(input_al, sul, eq_oracle, 'dfa',\n                                                closing_strategy=closing_strategy,\n                                                cex_processing=cex,\n                                                e_set_suffix_closed=closedness_type,\n                                                all_prefixes_in_obs_table=prefix_in_cell,\n                                                print_level=0,\n                                                return_data=True)\n\n                        config_name = f'suffix_closed:{closedness_type},closing_strategy:{closing_strategy},' \\\n                                      f'cex:{cex},prefixes_in_cell_{prefix_in_cell}'\n                        stats[config_name].append(\n                            (info['queries_learning'],\n                             info['steps_learning'],\n                             model.size == test_model.size))\n\nwith open('stats.pickle', 'wb') as handle:\n    pickle.dump(stats, handle, protocol=pickle.HIGHEST_PROTOCOL)\n\n# with open('stats.pickle', 'rb') as handle:\n#     stats = pickle.load(handle)\n\nstatistics_sorted = []\nfor k, v in stats.items():\n    mean_queries, mean_steps, num_correct = mean([x[0] for x in v]), mean([x[1] for x in v]), sum([x[2] for x in v])\n    statistics_sorted.append((k, mean_queries, mean_steps, num_correct))\n\nstatistics_sorted.sort(key=lambda x: x[2])\n\nfor k, q, s, c in statistics_sorted:\n    print(k, int(q), int(s), c)\n\n# suffix_closed:True,closing_strategy:longest_first,cex:rs,prefixes_in_cell_True 6702 122491 10\n# suffix_closed:False,closing_strategy:single,cex:rs,prefixes_in_cell_True 8339 150049 10\n# suffix_closed:False,closing_strategy:longest_first,cex:rs,prefixes_in_cell_True 8087 154159 10\n# suffix_closed:True,closing_strategy:single,cex:rs,prefixes_in_cell_True 8711 159552 10\n# suffix_closed:False,closing_strategy:shortest_first,cex:longest_prefix,prefixes_in_cell_True 9032 162634 10\n# suffix_closed:True,closing_strategy:shortest_first,cex:rs,prefixes_in_cell_True 9024 163924 10\n# suffix_closed:False,closing_strategy:shortest_first,cex:rs,prefixes_in_cell_True 8685 164049 10\n# suffix_closed:False,closing_strategy:longest_first,cex:longest_prefix,prefixes_in_cell_True 9011 167036 10\n# suffix_closed:False,closing_strategy:single,cex:longest_prefix,prefixes_in_cell_True 9099 176007 10\n# suffix_closed:True,closing_strategy:single,cex:longest_prefix,prefixes_in_cell_True 9291 178341 10\n# suffix_closed:True,closing_strategy:shortest_first,cex:longest_prefix,prefixes_in_cell_True 9317 179006 10\n# suffix_closed:False,closing_strategy:shortest_first,cex:None,prefixes_in_cell_True 10491 193517 10\n# suffix_closed:True,closing_strategy:single,cex:None,prefixes_in_cell_True 11139 213554 10\n# suffix_closed:True,closing_strategy:longest_first,cex:longest_prefix,prefixes_in_cell_True 10865 214022 10\n# suffix_closed:True,closing_strategy:shortest_first,cex:None,prefixes_in_cell_True 12039 221108 10\n# suffix_closed:False,closing_strategy:longest_first,cex:None,prefixes_in_cell_True 11107 222398 10\n# suffix_closed:False,closing_strategy:single_longest,cex:rs,prefixes_in_cell_True 8998 227650 10\n# suffix_closed:True,closing_strategy:longest_first,cex:None,prefixes_in_cell_True 12042 230262 10\n# suffix_closed:False,closing_strategy:single,cex:None,prefixes_in_cell_True 12176 239711 10\n# suffix_closed:True,closing_strategy:shortest_first,cex:rs,prefixes_in_cell_False 15891 319699 10\n# suffix_closed:True,closing_strategy:single_longest,cex:None,prefixes_in_cell_True 10758 321832 10\n# suffix_closed:False,closing_strategy:single_longest,cex:None,prefixes_in_cell_True 11331 330290 10\n# suffix_closed:True,closing_strategy:single,cex:rs,prefixes_in_cell_False 16014 331618 10\n# suffix_closed:False,closing_strategy:shortest_first,cex:rs,prefixes_in_cell_False 15315 335046 10\n# suffix_closed:False,closing_strategy:single_longest,cex:rs,prefixes_in_cell_False 15289 339521 10\n# suffix_closed:True,closing_strategy:longest_first,cex:rs,prefixes_in_cell_False 16933 343434 10\n# suffix_closed:False,closing_strategy:single,cex:rs,prefixes_in_cell_False 16561 356579 10\n# suffix_closed:False,closing_strategy:longest_first,cex:rs,prefixes_in_cell_False 17112 367300 10\n# suffix_closed:False,closing_strategy:longest_first,cex:None,prefixes_in_cell_False 21305 421926 10\n# suffix_closed:True,closing_strategy:single,cex:None,prefixes_in_cell_False 21228 439700 10\n# suffix_closed:False,closing_strategy:single,cex:longest_prefix,prefixes_in_cell_False 21119 446616 10\n# suffix_closed:True,closing_strategy:longest_first,cex:longest_prefix,prefixes_in_cell_False 20241 449658 10\n# suffix_closed:False,closing_strategy:single,cex:None,prefixes_in_cell_False 22933 454032 10\n# suffix_closed:False,closing_strategy:shortest_first,cex:longest_prefix,prefixes_in_cell_False 20601 456783 10\n# suffix_closed:True,closing_strategy:longest_first,cex:None,prefixes_in_cell_False 21736 457516 10\n# suffix_closed:False,closing_strategy:shortest_first,cex:None,prefixes_in_cell_False 22398 469775 10\n# suffix_closed:True,closing_strategy:shortest_first,cex:longest_prefix,prefixes_in_cell_False 22365 477132 10\n# suffix_closed:True,closing_strategy:single,cex:longest_prefix,prefixes_in_cell_False 21557 505135 10\n# suffix_closed:True,closing_strategy:shortest_first,cex:None,prefixes_in_cell_False 24000 518014 10\n# suffix_closed:False,closing_strategy:longest_first,cex:longest_prefix,prefixes_in_cell_False 23837 548645 10\n# suffix_closed:False,closing_strategy:single_longest,cex:None,prefixes_in_cell_False 24994 583869 10\n# suffix_closed:True,closing_strategy:single_longest,cex:None,prefixes_in_cell_False 24839 588329 10\n# suffix_closed:False,closing_strategy:single_longest,cex:longest_prefix,prefixes_in_cell_True 10322 620607 10\n# suffix_closed:True,closing_strategy:single_longest,cex:rs,prefixes_in_cell_True 9930 651615 10\n# suffix_closed:True,closing_strategy:single_longest,cex:rs,prefixes_in_cell_False 16761 729912 10\n# suffix_closed:True,closing_strategy:single_longest,cex:longest_prefix,prefixes_in_cell_True 11419 779192 10\n# suffix_closed:True,closing_strategy:single_longest,cex:longest_prefix,prefixes_in_cell_False 19734 919089 10\n# suffix_closed:False,closing_strategy:single_longest,cex:longest_prefix,prefixes_in_cell_False 19842 939866 10"
  },
  {
    "path": "Benchmarking/fm_benchmark.py",
    "content": "import csv\nimport os\nfrom collections import defaultdict\nfrom statistics import mean\n\n# directory = 'FM_mdp_smm/benchmark_no_cq_bfs_longest_prefix/'\ndirectory = 'FM_mdp_smm/benchmark_no_cq_merged_longest_prefix/'\n#directory = 'FM_mdp_smm/benchmark_new_chi2/'\n\n# directory = 'FM_mdp_smm/benchmark_no_cq_None_longest_prefix/'\n# directory = 'FM_mdp_smm/benchmark_chi_square_None_longest_prefix/'\n\nbenchmarks = os.listdir(directory)\n\nvalues = dict()\n\nfor file in benchmarks:\n    with open(directory + file, 'r') as f:\n        reader = csv.reader(f)\n        data = list(reader)\n\n        for i in range(0, len(data), 3):\n            header = data[i]\n            mdp,smm = data[i+1], data[i + 2]\n\n            for formalism in [mdp, smm]:\n                for i, val in enumerate(formalism[1:]):\n                    if formalism[0] not in values.keys():\n                        values[formalism[0]] = defaultdict(list)\n                    values[formalism[0]][header[i+1]].append(round(float(val), 2))\n\nmin_values_dict = dict()\nmax_values_dict = dict()\navr_values_dict = dict()\n\nfor exp in values:\n    exp_name = exp[12:]\n    formalism = 'smm' if 'smm' in exp else 'mdp'\n\n    name = f'{exp_name}_{formalism}'\n    min_values_dict[name] = dict()\n    max_values_dict[name] = dict()\n    avr_values_dict[name] = dict()\n\n    for category, value in values[exp].items():\n        min_values_dict[name][category] = min(value)\n        max_values_dict[name][category] = max(value)\n        avr_values_dict[name][category] = round(mean(value), 2)\n\nimport matplotlib.pyplot as plt\nimport matplotlib\n\nmatplotlib.use(\"pgf\")\nmatplotlib.rcParams.update({\n    \"pgf.texsystem\": \"pdflatex\",\n    'font.family': 'serif',\n    'text.usetex': True,\n    'pgf.rcfonts': False,\n})\n\n# TODO REMOVE WHITESPACES for new benchmarking results\ninteresting_fields = ['Learning time', 'Learning Rounds', '#MQ Learning', '# Steps Learning',  'prob1_val','prob1_err','prob2_val','prob2_err','prob3_val','prob3_err','prob4_val','prob4_err','prob5_val','prob5_err']\n\n\nexperiments = list(min_values_dict.keys())\nfor e_index in range(0, len(experiments), 2):\n    for i in interesting_fields:\n        if i not in min_values_dict[experiments[e_index]].keys():\n            continue\n        print(f'{experiments[e_index]} vs {experiments[e_index + 1]} = > {i}')\n        if min_values_dict[experiments[e_index + 1]][i] != 0:\n            min_eff = round(min_values_dict[experiments[e_index]][i] / min_values_dict[experiments[e_index + 1]][i]*100 , 2)\n        else:\n            min_eff = 0\n        print(f'Min : {min_values_dict[experiments[e_index]][i]} vs {min_values_dict[experiments[e_index + 1]][i]} | SMM efficiency : {min_eff}')\n        if max_values_dict[experiments[e_index + 1]][i] != 0:\n            max_eff = round(max_values_dict[experiments[e_index]][i] / max_values_dict[experiments[e_index + 1]][i]*100 , 2)\n        else:\n            max_eff = 0\n        print(f'Max : {max_values_dict[experiments[e_index]][i]} vs {max_values_dict[experiments[e_index + 1]][i]} | SMM efficiency : {max_eff}')\n        if avr_values_dict[experiments[e_index + 1]][i] != 0:\n            avr_eff = round(avr_values_dict[experiments[e_index]][i] / avr_values_dict[experiments[e_index + 1]][i]*100 , 2)\n        else:\n            avr_eff = 0\n        print(f'Avr : {avr_values_dict[experiments[e_index]][i]} vs {avr_values_dict[experiments[e_index + 1]][i]}| SMM efficiency : {avr_eff}')\n    print('-------------------------------------------------')\n\nwith open('fm_statistics_2204.csv', 'w',newline='') as file:\n    writer = csv.writer(file)\n\n    experiments = list(min_values_dict.keys())\n    for e_index in range(0, len(experiments), 2):\n        writer.writerow([experiments[e_index][:-4], 'mdp', 'smm', 'smm compared to mdp efficiency %'])\n        for i in interesting_fields:\n            if i not in min_values_dict[experiments[e_index]].keys():\n                continue\n            if min_values_dict[experiments[e_index + 1]][i] != 0:\n                min_eff = round(\n                    min_values_dict[experiments[e_index]][i] / min_values_dict[experiments[e_index + 1]][i] * 100, 2)\n            else:\n                min_eff = 0\n            writer.writerow([i + '_min', min_values_dict[experiments[e_index]][i], min_values_dict[experiments[e_index + 1]][i], min_eff])\n            if max_values_dict[experiments[e_index + 1]][i] != 0:\n                max_eff = round(\n                    max_values_dict[experiments[e_index]][i] / max_values_dict[experiments[e_index + 1]][i] * 100, 2)\n            else:\n                max_eff = 0\n            writer.writerow([i + '_max', max_values_dict[experiments[e_index]][i], max_values_dict[experiments[e_index + 1]][i], max_eff])\n            if avr_values_dict[experiments[e_index + 1]][i] != 0:\n                avr_eff = round(\n                    avr_values_dict[experiments[e_index]][i] / avr_values_dict[experiments[e_index + 1]][i] * 100, 2)\n            else:\n                avr_eff = 0\n            writer.writerow([i + '_avr', avr_values_dict[experiments[e_index]][i], avr_values_dict[experiments[e_index + 1]][i], avr_eff])\n        writer.writerow([])\n\n        print('-------------------------------------------------')"
  },
  {
    "path": "Benchmarking/fm_plots.py",
    "content": "\n\ndef plot_error():\n    import matplotlib.pyplot as plt\n    import matplotlib\n\n    matplotlib.use(\"pgf\")\n    matplotlib.rcParams.update({\n        \"pgf.texsystem\": \"pdflatex\",\n        'font.family': 'serif',\n        'text.usetex': True,\n        'pgf.rcfonts': False,\n    })\n\n    # MDP then SMM\n    learning_time_data = [\n        [68.19, 140.31, 154.35, 116.8],\n        [27.5, 98.31, 30.87, 68]\n    ]\n\n    num_mq_data = [\n        [81803.23, 153758.15, 560705.92, 248552.62, ],\n        [36937.54, 91309.08, 51791.54, 92607]\n    ]\n\n    import numpy as np\n\n    N = 4\n\n    ind = np.arange(N)  # the x locations for the groups\n    width = 0.25  # the width of the bars\n\n    # fig = plt.figure()\n    fig, (ax_time, ax_mq) = plt.subplots(1, 2, figsize=(10, 3))\n\n    ax_time.bar(ind, learning_time_data[0], width, label='MDP')\n    ax_time.bar(ind + width, learning_time_data[1], width, label='SMM')\n\n    # add some\n    ax_time.set_ylabel('Learning Time (s)')\n\n    ax_time.set_xticks(ind + width / 2)\n    ax_time.set_xticklabels(('35 State\\nGridworld', '72 State\\nGridworld', 'MQTT', 'TCP',))\n\n    ax_time.grid(axis='y')\n    ax_time.legend(loc='upper left')\n\n    ax_mq.bar(ind, num_mq_data[0], width, label='MDP')\n    ax_mq.bar(ind + width, num_mq_data[1], width, label='SMM')\n\n    # add some\n    ax_mq.set_ylabel('\\# Membership Queries')\n    ax_mq.ticklabel_format(axis='y', style='sci', scilimits=(1, 4))\n    ax_mq.set_xticks(ind + width / 2)\n    ax_mq.set_xticklabels(('35 State\\nGridworld', '72 State\\nGridworld', 'MQTT', 'TCP',))\n    ax_mq.legend(loc='upper left')\n\n\n    ax_mq.grid(axis='y')\n    fig.tight_layout()\n\n    # plt.show()\n\n    plt.savefig(\"error_bench.pgf\", bbox_inches='tight')\n\n    import tikzplotlib\n\n    tikzplotlib.save(\"error_bench.tex\")\n\ndef plot_benchmarks():\n    import matplotlib.pyplot as plt\n    import matplotlib\n\n    matplotlib.use(\"pgf\")\n    matplotlib.rcParams.update({\n        \"pgf.texsystem\": \"pdflatex\",\n        'font.family': 'serif',\n        'text.usetex': True,\n        'pgf.rcfonts': False,\n    })\n\n    # MDP then SMM\n\n    num_mq_data = [\n        [81803.23, 153758.15, 560705.92, 248552.62, ],\n        [36937.54, 91309.08, 51791.54, 92607]\n    ]\n\n    # TODO\n    avr_cum_err = [\n        \n    ]\n\n    import numpy as np\n\n    N = 4\n\n    ind = np.arange(N)  # the x locations for the groups\n    width = 0.25  # the width of the bars\n\n    # fig = plt.figure()\n    fig, (ax_time, ax_mq) = plt.subplots(1, 2, figsize=(10, 3))\n\n    ax_time.bar(ind, avr_cum_err[0], width, label='MDP')\n    ax_time.bar(ind + width, avr_cum_err[1], width, label='SMM')\n\n    # add some\n    ax_time.set_ylabel('Learning Time (s)')\n\n    ax_time.set_xticks(ind + width / 2)\n    ax_time.set_xticklabels(('35 State\\nGridworld', '72 State\\nGridworld', 'MQTT', 'TCP',))\n\n    ax_time.grid(axis='y')\n    ax_time.legend(loc='upper left')\n\n    ax_mq.bar(ind, num_mq_data[0], width, label='MDP')\n    ax_mq.bar(ind + width, num_mq_data[1], width, label='SMM')\n\n    # add some\n    ax_mq.set_ylabel('\\# Membership Queries')\n    ax_mq.ticklabel_format(axis='y', style='sci', scilimits=(1, 4))\n    ax_mq.set_xticks(ind + width / 2)\n    ax_mq.set_xticklabels(('35 State\\nGridworld', '72 State\\nGridworld', 'MQTT', 'TCP',))\n\n    ax_mq.legend(loc='upper left')\n\n    ax_mq.grid(axis='y')\n    fig.tight_layout()\n\n    # plt.show()\n\n    plt.savefig(\"benchmarking.pgf\", bbox_inches='tight')\n\n    import tikzplotlib\n\n    tikzplotlib.save(\"benchmarking.tex\")\n\nif __name__ == '__main__':\n    plot_error()"
  },
  {
    "path": "Benchmarking/generate_plots.py",
    "content": "from random import random, randint\n\nimport matplotlib\nfrom matplotlib import pyplot as plt\nimport csv\n\ndef plot_increasing_size_exp():\n    data = []\n\n    with open('increasing_size_experiments.csv', 'r') as f:\n        reader = csv.reader(f)\n        data = list(reader)\n\n    x_axis = data.pop(0)\n    x_axis.pop(0)\n\n    # use total times only\n    data = data[3:]\n\n    x_axis = [int(x) for x in x_axis]\n    #x_axis = list(range(2,51))\n    times = []\n    labels = ['DFA', 'Mealy', 'Moore']\n    for r in data:\n        row_name = r.pop(0)\n        times.extend([float(i) for i in r])\n        plt.plot(x_axis, [float(i) for i in r], label=labels.pop(0))\n\n    plt.legend()\n    plt.xticks([100, 1000, 2000, 3000, 4000, 5000,])\n    plt.yticks([min(times), 0.5, 1, 1.5, max(times)])\n    #plt.yticks([min(times), 1, 2, max(times)])\n    #plt.yticks([min(times), 3, 6, 10 , 14])\n\n    plt.ylabel(\"Time (s)\")\n    plt.xlabel(\"Automaton Size\")\n    #plt.grid(axis='y')\n    plt.grid()\n\n    matplotlib.use(\"pgf\")\n    matplotlib.rcParams.update({\n        \"pgf.texsystem\": \"pdflatex\",\n        'font.family': 'serif',\n        'text.usetex': True,\n        'pgf.rcfonts': False,\n    })\n\n    plt.savefig('state_increase_runtime.pgf')\n    #plt.show()\n\n\ndef plot_increasing_alphabeth_exp():\n    data = []\n\n    with open('increasing_alphabet_experiments.csv', 'r') as f:\n        reader = csv.reader(f)\n        data = list(reader)\n\n    x_axis = data.pop(0)[:-1]\n    x_axis.pop(0)\n\n    # use total times only\n\n    x_axis = [int(x) for x in x_axis]\n    #x_axis = list(range(2,51))\n    times = []\n    labels = ['DFA', 'Mealy', 'Moore']\n    for r in data:\n        row_name = r.pop(0)\n        times.extend([float(i) for i in r])\n        plt.plot(x_axis, [float(i) for i in r], label=labels.pop(0))\n\n    plt.legend()\n    plt.xticks([5,25,50,75,100])\n    plt.yticks([min(times), 1, 2.5, 4, max(times)])\n    #plt.yticks([min(times), 1, 2, max(times)])\n    #plt.yticks([min(times), 3, 6, 10 , 14])\n\n    plt.ylabel(\"Time (s)\")\n    plt.xlabel(\"Alphabet Size\")\n    #plt.grid(axis='y')\n    plt.grid()\n\n    matplotlib.use(\"pgf\")\n    matplotlib.rcParams.update({\n        \"pgf.texsystem\": \"pdflatex\",\n        'font.family': 'serif',\n        'text.usetex': True,\n        'pgf.rcfonts': False,\n    })\n    plt.savefig('alphabet_increase_runtime.pgf')\n    #plt.show()\n\ndef plot_together():\n    fig, (ax2, ax1) = plt.subplots(1, 2, figsize=(10, 3))\n    \n    \n    with open('increasing_alphabet_experiments.csv', 'r') as f:\n        reader = csv.reader(f)\n        data = list(reader)\n\n    x_axis = data.pop(0)[:-1]\n    x_axis.pop(0)\n\n    # use total times only\n\n    x_axis = [int(x) for x in x_axis]\n    #x_axis = list(range(2,51))\n    times = []\n    labels = ['DFA', 'Mealy', 'Moore']\n    for r in data:\n        row_name = r.pop(0)\n        times.extend([float(i) for i in r])\n        ax1.plot_side_by_side()\n\n    ax1.legend()\n    ax1.set_xticks([5,25,50,75,100], minor=False)\n    ax1.set_yticks([min(times), 1, 2.5, 4, max(times)], minor=False)\n    #plt.yticks([min(times), 1, 2, max(times)])\n    #plt.yticks([min(times), 3, 6, 10 , 14])\n\n    ax1.set_ylabel(\"Time (s)\")\n    ax1.set_xlabel(\"Alphabet Size\")\n    #plt.grid(axis='y')\n    ax1.grid()\n\n    with open('increasing_size_experiments.csv', 'r') as f:\n        reader = csv.reader(f)\n        data = list(reader)\n\n    x_axis = data.pop(0)\n    x_axis.pop(0)\n\n    # use total times only\n    data = data[3:]\n\n    x_axis = [int(x) for x in x_axis]\n    #x_axis = list(range(2,51))\n    times = []\n    labels = ['DFA', 'Mealy', 'Moore']\n    for r in data:\n        row_name = r.pop(0)\n        times.extend([float(i) for i in r])\n        ax2.plot_side_by_side()\n\n    ax2.legend()\n    ax2.set_xticks([100, 1000, 2000, 3000, 4000, 5000,], minor=False)\n    ax2.set_yticks([min(times), 0.5, 1, 1.5, max(times)], minor=False)\n    #plt.yticks([min(times), 1, 2, max(times)])\n    #plt.yticks([min(times), 3, 6, 10 , 14])\n\n    ax2.set_ylabel(\"Time (s)\")\n    ax2.set_xlabel(\"Automaton Size\")\n    #plt.grid(axis='y')\n    ax2.grid()\n\n    # matplotlib.use(\"pgf\")\n    # matplotlib.rcParams.update({\n    #     \"pgf.texsystem\": \"pdflatex\",\n    #     'font.family': 'serif',\n    #     'text.usetex': True,\n    #     'pgf.rcfonts': False,\n    # })\n    #\n    # plt.savefig('state_increase_runtime.pgf')\n\n    fig.tight_layout()\n    matplotlib.use(\"pgf\")\n    matplotlib.rcParams.update({\n        \"pgf.texsystem\": \"pdflatex\",\n        'font.family': 'serif',\n        'text.usetex': True,\n        'pgf.rcfonts': False,\n    })\n    fig.savefig('both_images.pgf',bbox_inches='tight')\n\n\ndef plot_together():\n    fig, (ax2, ax1) = plt.subplots(1, 2, figsize=(10, 3))\n\n    with open('increasing_alphabet_experiments.csv', 'r') as f:\n        reader = csv.reader(f)\n        data = list(reader)\n\n    x_axis = data.pop(0)[:-1]\n    x_axis.pop(0)\n\n    # use total times only\n\n    x_axis = [int(x) for x in x_axis]\n    # x_axis = list(range(2,51))\n    times = []\n    labels = ['DFA', 'Mealy', 'Moore']\n    for r in data:\n        row_name = r.pop(0)\n        times.extend([float(i) for i in r])\n        ax1.plot_side_by_side()\n\n    ax1.legend()\n    ax1.set_xticks([5, 25, 50, 75, 100], minor=False)\n    ax1.set_yticks([min(times), 1, 2.5, 4, max(times)], minor=False)\n    # plt.yticks([min(times), 1, 2, max(times)])\n    # plt.yticks([min(times), 3, 6, 10 , 14])\n\n    ax1.set_ylabel(\"Time (s)\")\n    ax1.set_xlabel(\"Alphabet Size\")\n    # plt.grid(axis='y')\n    ax1.grid()\n\n    with open('increasing_size_experiments.csv', 'r') as f:\n        reader = csv.reader(f)\n        data = list(reader)\n\n    x_axis = data.pop(0)\n    x_axis.pop(0)\n\n    # use total times only\n    data = data[3:]\n\n    x_axis = [int(x) for x in x_axis]\n    # x_axis = list(range(2,51))\n    times = []\n    labels = ['DFA', 'Mealy', 'Moore']\n    for r in data:\n        row_name = r.pop(0)\n        times.extend([float(i) for i in r])\n        ax2.plot_side_by_side()\n\n    ax2.legend()\n    ax2.set_xticks([100, 1000, 2000, 3000, 4000, 5000, ], minor=False)\n    ax2.set_yticks([min(times), 0.5, 1, 1.5, max(times)], minor=False)\n    # plt.yticks([min(times), 1, 2, max(times)])\n    # plt.yticks([min(times), 3, 6, 10 , 14])\n\n    ax2.set_ylabel(\"Time (s)\")\n    ax2.set_xlabel(\"Automaton Size\")\n    # plt.grid(axis='y')\n    ax2.grid()\n\n    # matplotlib.use(\"pgf\")\n    # matplotlib.rcParams.update({\n    #     \"pgf.texsystem\": \"pdflatex\",\n    #     'font.family': 'serif',\n    #     'text.usetex': True,\n    #     'pgf.rcfonts': False,\n    # })\n    #\n    # plt.savefig('state_increase_runtime.pgf')\n\n    fig.tight_layout()\n    matplotlib.use(\"pgf\")\n    matplotlib.rcParams.update({\n        \"pgf.texsystem\": \"pdflatex\",\n        'font.family': 'serif',\n        'text.usetex': True,\n        'pgf.rcfonts': False,\n    })\n    fig.savefig('both_images.pgf', bbox_inches='tight')\n\n# queries_mealy_sizes, 100,500,1000,2000\n# learnlib, 3356.14, 22316.74, 49037.52, 106613.32\n# aalpy, 2255.1, 6025.8, 8037.85, 12372.5\n\ndef plot_together_learnlib_comp():\n    fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 3))\n\n    with open('learnlib_com.csv', 'r') as f:\n        reader = csv.reader(f)\n        data = list(reader)\n\n    x_axis = data.pop(0)[:-1]\n    x_axis.pop(0)\n\n    x_axis = [int(x) for x in x_axis]\n    # x_axis = list(range(2,51))\n    times = []\n    labels = ['DFA(AALpy)','DFA(LearnLib)',  'Mealy(AALpy)', 'Mealy(Learnlib)']\n    for r in data:\n        row_name = r.pop(0)\n        times.extend([float(i) for i in r])\n        ax1.plot_side_by_side()\n\n    ax1.legend()\n    ax1.set_xticks([100, 1000, 2000, 3000, 4000, 5000], minor=False)\n    ax1.set_yticks([min(times), 0.5, 1, 1.5, max(times)], minor=False)\n    # plt.yticks([min(times), 1, 2, max(times)])\n    # plt.yticks([min(times), 3, 6, 10 , 14])\n\n    ax1.set_ylabel(\"Time (s)\")\n    ax1.set_xlabel(\"Automaton Size\")\n    # plt.grid(axis='y')\n    ax1.grid()\n\n    with open('learnlib_alph_comp.csv', 'r') as f:\n        reader = csv.reader(f)\n        data = list(reader)\n\n    x_axis = data.pop(0)\n    x_axis.pop(0)\n\n    # use total times only\n    x_axis = [int(x) for x in x_axis]\n    # x_axis = list(range(2,51))\n    times = []\n    labels = ['DFA(AALpy)', 'DFA(LearnLib)', 'Mealy(AALpy)', 'Mealy(Learnlib)']\n    for r in data:\n        row_name = r.pop(0)\n        times.extend([float(i) for i in r])\n        ax2.plot_side_by_side()\n\n    ax2.legend()\n    ax2.set_xticks([5, 25, 50, 75, 100], minor=False)\n    ax2.set_yticks([min(times), 1, 2.5, 4, max(times)], minor=False)\n    # plt.yticks([min(times), 1, 2, max(times)])\n    # plt.yticks([min(times), 3, 6, 10 , 14])\n\n    ax2.set_ylabel(\"Time (s)\")\n    ax2.set_xlabel(\"Alphabet Size\")\n    # plt.grid(axis='y')\n    ax2.grid()\n\n    # matplotlib.use(\"pgf\")\n    # matplotlib.rcParams.update({\n    #     \"pgf.texsystem\": \"pdflatex\",\n    #     'font.family': 'serif',\n    #     'text.usetex': True,\n    #     'pgf.rcfonts': False,\n    # })\n    #\n    # plt.savefig('state_increase_runtime.pgf')\n\n    fig.tight_layout()\n    matplotlib.use(\"pgf\")\n    matplotlib.rcParams.update({\n        \"pgf.texsystem\": \"pdflatex\",\n        'font.family': 'serif',\n        'text.usetex': True,\n        'pgf.rcfonts': False,\n    })\n    fig.savefig('learnlib_comp.pgf', bbox_inches='tight')\n\n\ndef plot_runtime_steps():\n    automaton_sizes = list(range(2,100,2))\n    learnlib = [84.0, 84.0, 308.0, 452.0, 516.0, 564.0, 836.0, 996.0, 1188.0, 1268.0, 1870.5, 1604.0, 2358.46, 2004.0, 3189.12, 2699.32, 3756.52, 3617.64, 3925.64, 5144.98, 4278.78, 5198.06, 5452.32, 5272.12, 4841.46, 6046.92, 5864.2, 6043.34, 7501.06, 8291.58, 6976.76, 7722.48, 8498.26, 8021.4, 8409.82, 8427.62, 10348.0, 9017.5, 11266.08, 10496.48, 10948.76, 11697.94, 12539.88, 12573.5, 12266.44, 12788.36, 13619.44, 13204.7, 14218.14]\n    aalpy = [80, 80, 304, 448, 512, 560, 832, 992, 1184, 1264, 1904.4666666666667, 1600, 2355, 2000, 3304.4, 2969, 3875.8, 3491.8, 3994.6666666666665, 5259.8, 4122.6, 5408.2, 5425.6, 5457.733333333334, 4700.6, 5575.266666666666, 5877.333333333333, 5643.333333333333, 7848, 8746.4, 6902, 6764.133333333333, 8968.266666666666, 8994.666666666666, 8548.066666666668, 8034.2, 10303.8, 9518.2, 11861.6, 10639.466666666667, 11049.466666666667, 12028.666666666666, 12798.4, 13055.733333333334, 12525.4, 13473.6, 13445.866666666667, 13654.866666666667, 15162.066666666668]\n\n    learnlib_dfa_steps = [12, 176, 366, 817.517349244473, 729.3582188142311, 862.8326032572571, 1629.7225991534913, 2278.6612662357325, 1851.9775842649628, 2256.358673947518, 2877.186267318514, 3621.257762117678, 4309.52400476166, 3957.7026357704567, 5892.417280455997, 4340.934611960256, 5361.8053640093285, 5826.332838306764, 6170.173413693644, 6362.896456856769, 7467.5489502843675, 10647.813901891837, 7771.6990409704595, 10021.521929114147, 11682.322172805243, 13337.927737932912, 12739.746892560444, 14478.86166799318, 12871.644461597713, 13099.900598108483, 11801.712844210842, 14545.968533421541, 16248.345494832956, 16266.864422969868, 15963.905452213141, 19195.796973001674, 17252.921273408057, 18935.661631940457, 17732.29013734688, 19960.551029106155, 17375.00727356809, 18493.587556335762, 22476.68693665887, 20993.560784351062, 24736.797016941302, 23454.586313063137, 21647.451883062633, 29979.506261659953, 25118.61300496266]\n\n    aalpy_dfa_steps = [12, 176.6, 366.93333333333334, 790.5333333333333, 840.5333333333333, 886.1333333333333, 1657.8,\n                 2225.133333333333, 2076.3333333333335, 2649.3333333333335, 3065, 3218.0666666666666, 4783.466666666666,\n                 3860.3333333333335, 5724.4, 4960.733333333334, 5226.733333333334, 6479.4, 5991.866666666667, 7096.2,\n                 7241.866666666667, 9292.066666666668, 8487.6, 10789.4, 11765.2, 12693.666666666666, 11715.266666666666,\n                 12860.6, 11887.466666666667, 12740.333333333334, 12882.133333333333, 15290.666666666666, 15572,\n                 14563.066666666668, 14886.8, 17937.466666666667, 16332.533333333333, 20078.6, 18581.8,\n                 18823.266666666666, 20331.733333333334, 20824.733333333334, 19940.8, 23263.666666666668,\n                 21659.466666666667, 25069.933333333334, 24592.333333333332, 27892.2, 24161.066666666666]\n    fig, ax1 = plt.subplots()\n\n    ax1.set_xlabel('Automaton Size')\n    ax1.set_ylabel('Number of Learning Steps')\n    ax1.plot_side_by_side()\n    ax1.plot_side_by_side()\n    ax1.plot_side_by_side()\n    ax1.plot_side_by_side()\n    # ax1.tick_params(axis='y', labelcolor=color)\n\n    ax2 = ax1.twinx()  # instantiate a second axes that shares the same x-axis\n    #\n    ax2.set_ylabel('Total Learning Time (ms)')  # we already handled the x-label with ax1\n    ax2.plot_side_by_side()\n    ax2.plot_side_by_side()\n    ax2.plot_side_by_side()\n    ax2.plot_side_by_side()\n\n    fig.tight_layout()  # otherwise the right y-label is slightly clipped\n    plt.grid()\n    plt.legend()\n    # matplotlib.use(\"pgf\")\n    # matplotlib.rcParams.update({\n    #     \"pgf.texsystem\": \"pdflatex\",\n    #     'font.family': 'serif',\n    #     'text.usetex': True,\n    #     'pgf.rcfonts': False,\n    #     #'font.size': 42\n    # })\n\n    import tikzplotlib\n    tikzplotlib.save(\"test.txt\")\n    #fig.savefig('runtime_comp.pgf', bbox_inches='tight')\n\nplot_runtime_steps()\n#plot_runtime_steps()\n# plot_together_learnlib_comp()\n#plot_increasing_size_exp()\n#plot_increasing_alphabeth_exp()"
  },
  {
    "path": "Benchmarking/json_lbt.py",
    "content": "import json\nimport random\nfrom collections import defaultdict\n\nfrom aalpy import run_PAPNI, load_automaton_from_file\nfrom aalpy.automata import VpaAlphabet\nfrom aalpy.utils import generate_input_output_data_from_vpa\n\n\n\n\ndef is_valid_json(s):\n    try:\n        json.loads(s)\n        return True\n    except json.JSONDecodeError:\n        return False\n\n\ndef to_json_string(json_tuple):\n    json_str = ''\n    for x in json_tuple:\n        if x in {'key', 'val'}:\n            json_str += f'\\\"{x}\\\"'\n        else:\n            json_str += x\n    return json_str\n\n\ndef generate_random_json(max_depth=3, max_elements=5):\n    \"\"\"\n    Generate a random valid JSON structure using abstract symbols.\n    Args:\n        max_depth (int): Maximum nesting depth\n        max_elements (int): Maximum number of elements in arrays or objects\n    Returns:\n        list: List of symbols representing a valid JSON structure\n    \"\"\"\n\n    def generate_value(current_depth):\n        if current_depth >= max_depth:\n            return ['val']\n\n        # Choose between simple value, array, or object\n        choice = random.choice(['simple', 'array', 'object'])\n\n        if choice == 'simple':\n            return ['val']\n        elif choice == 'array':\n            return generate_array(current_depth)\n        else:\n            return generate_object(current_depth)\n\n    def generate_array(current_depth):\n        # Generate array with random number of elements\n        num_elements = random.randint(1, max_elements)\n        result = ['[']\n\n        for i in range(num_elements):\n            result.extend(generate_value(current_depth + 1))\n            if i < num_elements - 1:\n                result.append(',')\n\n        result.append(']')\n        return result\n\n    def generate_object(current_depth):\n        # Generate object with random number of key-value pairs\n        num_pairs = random.randint(1, max_elements)\n        result = ['{']\n\n        for i in range(num_pairs):\n            result.append('key')\n            result.append(':')\n            result.extend(generate_value(current_depth + 1))\n            if i < num_pairs - 1:\n                result.append(',')\n\n        result.append('}')\n        return result\n\n    # Start generation with an object at the root\n    json_tuple = tuple(generate_object(0))\n    json_str = to_json_string(json_tuple)\n    return json_str, json_tuple\n\n\ndef corrupt_json(symbols):\n    \"\"\"\n    Take a valid JSON symbol list and make it invalid using various strategies.\n    Returns corrupted symbols and description of corruption.\n    \"\"\"\n    corrupted = symbols.copy()\n\n    strategies = [\n        'bracket_mismatch',  # Replace brackets with mismatched ones\n        'add_symbol',  # Add inappropriate symbol\n        'drop_symbol',  # Remove necessary symbol\n        'naked_value',  # Just a lone value\n        'naked_key',  # Just a lone key\n        'multiple_commas',  # Add multiple consecutive commas\n        'trailing_comma',  # Add comma at the end\n        'missing_value',  # Remove value after key\n        'missing_key',  # Remove key before value\n        'missing_colon',  # Remove colon between key-value\n        'standalone_colon',  # Just a colon\n        'comma_start_end',  # Start or end with comma\n        'empty_structure',  # Empty structure with internal comma\n        'multiple_colons'  # Multiple colons in key-value pair\n    ]\n\n    strategy = random.choice(strategies)\n\n    if strategy == 'bracket_mismatch':\n        bracket_positions = [i for i, s in enumerate(corrupted)\n                             if s in ['{', '}', '[', ']']]\n        if bracket_positions:\n            pos = random.choice(bracket_positions)\n            original = corrupted[pos]\n            corruptions = {\n                '{': random.choice(['}', ']']),\n                '}': random.choice(['{', '[']),\n                '[': random.choice(['}', ']']),\n                ']': random.choice(['{', '['])\n            }\n            corrupted[pos] = corruptions[original]\n            reason = f\"Replaced '{original}' with '{corrupted[pos]}'\"\n\n    elif strategy == 'naked_value':\n        corrupted = ['val']\n        reason = \"Created lone value without structure\"\n\n    elif strategy == 'naked_key':\n        corrupted = ['key']\n        reason = \"Created lone key without value or structure\"\n\n    elif strategy == 'multiple_commas':\n        num_commas = random.randint(2, 4)\n        corrupted = ['{'] + [',' for _ in range(num_commas)] + ['}']\n        reason = f\"Created structure with {num_commas} consecutive commas\"\n\n    elif strategy == 'trailing_comma':\n        if len(corrupted) > 2:  # Need at least {} or []\n            if corrupted[-1] in ['}', ']']:\n                corrupted.insert(-1, ',')\n                reason = \"Added trailing comma before closing bracket\"\n            else:\n                corrupted.append(',')\n                reason = \"Added trailing comma at end\"\n        else:\n            corrupted = ['{', ',', '}']\n            reason = \"Added trailing comma in empty structure\"\n\n    elif strategy == 'missing_value':\n        key_positions = [i for i, s in enumerate(corrupted) if s == 'key']\n        if key_positions:\n            pos = random.choice(key_positions)\n            if pos + 2 < len(corrupted) and corrupted[pos + 1] == ':':\n                corrupted.pop(pos + 2)  # Remove value\n                reason = \"Removed value after key\"\n            else:\n                corrupted = ['{', 'key', ':', '}']\n                reason = \"Created key without value\"\n        else:\n            corrupted = ['{', 'key', ':', '}']\n            reason = \"Created key without value\"\n\n    elif strategy == 'missing_key':\n        corrupted = ['{', ':', 'val', '}']\n        reason = \"Created value with missing key\"\n\n    elif strategy == 'missing_colon':\n        colon_positions = [i for i, s in enumerate(corrupted) if s == ':']\n        if colon_positions:\n            pos = random.choice(colon_positions)\n            corrupted.pop(pos)\n            reason = \"Removed colon between key and value\"\n        else:\n            corrupted = ['{', 'key', 'val', '}']\n            reason = \"Created key-value pair without colon\"\n\n    elif strategy == 'standalone_colon':\n        corrupted = [':']\n        reason = \"Created standalone colon\"\n\n    elif strategy == 'comma_start_end':\n        if random.choice([True, False]):\n            corrupted = [','] + corrupted\n            reason = \"Added comma at start\"\n        else:\n            corrupted.append(',')\n            reason = \"Added comma at end\"\n\n    elif strategy == 'empty_structure':\n        structure_type = random.choice(['{', '['])\n        closing = '}' if structure_type == '{' else ']'\n        corrupted = [structure_type, ',', closing]\n        reason = f\"Created empty {structure_type}{closing} with internal comma\"\n\n    elif strategy == 'multiple_colons':\n        colon_count = random.randint(2, 3)\n        corrupted = ['{', 'key'] + [':' for _ in range(colon_count)] + ['val', '}']\n        reason = f\"Added {colon_count} colons between key and value\"\n\n    elif strategy == 'add_symbol':\n        possible_additions = ['key', 'val', ',', ':', '{', '}', '[', ']']\n        symbol_to_add = random.choice(possible_additions)\n        pos = random.randint(0, len(corrupted))\n        corrupted.insert(pos, symbol_to_add)\n        reason = f\"Added '{symbol_to_add}' at position {pos}\"\n\n    else:  # drop_symbol\n        if len(corrupted) > 1:\n            pos = random.randint(0, len(corrupted) - 1)\n            dropped = corrupted.pop(pos)\n            reason = f\"Dropped '{dropped}' from position {pos}\"\n        else:\n            corrupted = []\n            reason = \"Dropped all symbols\"\n\n    return corrupted\n\n\n# Define call, return, and internal symbols for JSON\ncall_set = ['{', '[']\nreturn_set = ['}', ']']\ninternal_set = [':', ',', 'key', 'val']\n\n# Define the input alphabet\nvpa_alphabet = VpaAlphabet(\n    internal_alphabet=internal_set,\n    call_alphabet=call_set,\n    return_alphabet=return_set\n)\n\n\ndef generate_dataset(num_sequences):\n    dataset = set()\n    while len(dataset) <= num_sequences:\n        ts, tt = generate_random_json(max_depth=2, max_elements=3)\n        assert is_valid_json(ts), ts\n        dataset.add((tuple(tt), True))\n\n        for _ in range(5):\n            ft = corrupt_json(list(tt))\n            json_str = ''.join(ft)\n            if not is_valid_json(json_str):\n                dataset.add((tuple(ft), False))\n\n    return dataset\n\n\ndef validate_string_with_json_parser(json_str, json_parser):\n    assert json_parser in {'json', 'ujson', 'orjson', 'simplejson', 'demjson', 'pyjson5'}\n\n    import ujson\n    import orjson\n    import json5\n    import simplejson as sj\n    import demjson\n    import pyjson5\n\n    try:\n        if json_parser == \"json\":\n            json.loads(json_str)\n        elif json_parser == \"ujson\":\n            ujson.loads(json_str)\n        elif json_parser == \"orjson\":\n            orjson.loads(json_str)\n        elif json_parser == \"json5\":\n            json5.loads(json_str)\n        elif json_parser == \"simplejson\":\n            sj.loads(json_str)\n        elif json_parser == \"demjson\":\n            demjson.decode(json_str)\n        elif json_parser == \"pyjson5\":\n            pyjson5.loads(json_str)\n        else:\n            raise ValueError(\"Unsupported JSON parser\")\n        return True\n    except (json.JSONDecodeError, ujson.JSONDecodeError, orjson.JSONDecodeError,\n            demjson.JSONDecodeError, pyjson5.Json5Exception, ValueError) as e:\n        return False\n\n\nuse_learned_model = False\n\nmodel_learning_dataset = []\nif not use_learned_model:\n    model_learning_dataset = generate_dataset(num_sequences=20000)\n\n    learned_json_model = run_PAPNI(model_learning_dataset, vpa_alphabet)\n    # learned_json_model.visualize()\n\n    learned_json_model.save('learned_json.dot')\nelse:\n    learned_json_model = load_automaton_from_file('learned_json.dot', 'vpa')\n\nparsers_under_test = ['json', 'ujson', 'orjson', 'simplejson', 'demjson', 'pyjson5']\n\nnum_learning_iterations = 3\n\ndisagreements = defaultdict(list)\n\nresults = defaultdict(list)\n\nfor _ in range(num_learning_iterations):\n    disagreements.clear()\n\n    test_dataset = generate_input_output_data_from_vpa(learned_json_model, num_sequences=10000, max_seq_len=16)\n    print(f\"Num well-matched tests: {len([x for x in test_dataset if learned_json_model.is_balanced(x[0])])}\")\n\n    num_new_sequences = 0\n\n    for seq, label in test_dataset:\n\n        json_string = to_json_string(seq)\n\n        for p in parsers_under_test:\n            parser_output = validate_string_with_json_parser(json_string, p)\n\n            if parser_output != label:\n                disagreements[p].append(json_string)\n\n            if json_string not in results.keys() or json_string in results.keys() and len(results[json_string]) != len(parsers_under_test):\n                results[json_string].append(parser_output)\n\n        add_to_test_set = all(json_string in x for x in disagreements.values())\n        if add_to_test_set:\n            if (seq, label) in model_learning_dataset:\n                model_learning_dataset.remove((seq, label))\n            model_learning_dataset.add((seq, not label))\n            num_new_sequences += 1\n\n    print(f'Added {num_new_sequences} to learning set, total size {len(model_learning_dataset)}')\n    learned_json_model = run_PAPNI(model_learning_dataset, vpa_alphabet, print_info=False)\n    print(f'Current model size: {learned_json_model.size}')\n\n\ncomparison_results = {}\n\nfor key, values in results.items():\n    true_indexes = [parsers_under_test[i] for i, v in enumerate(values) if v]\n    false_indexes = [parsers_under_test[i] for i, v in enumerate(values) if not v]\n\n    if true_indexes and false_indexes:  # Ensure there are both True and False values\n        comparison_results[key] = [true_indexes, false_indexes]\n\nfor test_str, res in comparison_results.items():\n    print('---------------------')\n    print(test_str)\n    print('Postive ', res[0])\n    print('Negative', res[1])\n\n#\n# for key, val in disagreements.items():\n#     print('----------------------------------------------------------')\n#     print(key)\n#     print(f'Total number of discrepancies: {len(val)}')\n#\n#     # check which disagreements are not present in other parsers\n#     values = set(val)\n#     other_values = set()\n#     for k, v in disagreements.items():\n#         if k != key:\n#             other_values.update(v)\n#\n#     unique = list(values - other_values)\n#\n#     print(f'Unique discrepancies: {len(unique)}')\n#     if unique:\n#         print('Printing unique discrepancies')\n#         for i in unique:\n#             print(\"\".join(i))\n"
  },
  {
    "path": "Benchmarking/papni_vs_rpni_benchmarking.py",
    "content": "import pickle\nfrom collections import defaultdict\nfrom random import shuffle\n\nfrom aalpy import run_RPNI, run_PAPNI, AutomatonSUL\nfrom aalpy.utils import convert_i_o_traces_for_RPNI, generate_input_output_data_from_vpa, is_balanced\nfrom aalpy.utils.BenchmarkVpaModels import get_all_VPAs\nfrom statistics import mean, stdev\n\n# Load positive and negativ sequances for all models\nall_data = dict()\nwith open('papni_sequences.pickle', 'rb') as handle:\n    all_data = pickle.load(handle)\n\n\ndef calculate_f1_score(precision, recall):\n    if precision + recall == 0:\n        return 0\n    return 2 * (precision * recall) / (precision + recall)\n\n\ndef calculate_precision_recall_f1(true_positives, false_positives, false_negatives):\n    precision = true_positives / (true_positives + false_positives) if (true_positives + false_positives) > 0 else 0\n    recall = true_positives / (true_positives + false_negatives) if (true_positives + false_negatives) > 0 else 0\n    f1 = calculate_f1_score(precision, recall)\n\n    return precision, recall, f1\n\n\ndef compare_rpni_and_papni(test_data, rpni_model, papni_model):\n    def evaluate_model(learned_model, test_data):\n        true_positives = 0\n        false_positives = 0\n        false_negatives = 0\n\n        for input_seq, correct_output in test_data:\n            learned_model.reset_to_initial()\n            learned_output = learned_model.execute_sequence(learned_model.initial_state, input_seq)[-1]\n\n            if learned_output and correct_output:\n                true_positives += 1\n            elif learned_output and not correct_output:\n                false_positives += 1\n            elif not learned_output and correct_output:\n                false_negatives += 1\n\n        precision = true_positives / (true_positives + false_positives) if (true_positives + false_positives) > 0 else 0\n        recall = true_positives / (true_positives + false_negatives) if (true_positives + false_negatives) > 0 else 0\n        f1 = calculate_f1_score(precision, recall)\n\n        return precision, recall, f1\n\n    rpni_error = evaluate_model(rpni_model, test_data)\n    papni_error = evaluate_model(papni_model, test_data)\n\n    # print(f'RPNI size {rpni_model.size} vs {papni_model.size} PAPNI size')\n    # print(f'RPNI   precision, recall, f1: {rpni_error}')\n    # print(f'PAPNI  precision, recall, f1: {papni_error}')\n\n    return [rpni_model.size, papni_model.size, rpni_error, papni_error]\n\n\n# run KV for VPDA learning and record all sequences\n# these sequences should cover the whole characterizing set required to learn 1-SEVPA\ndef get_sequences_from_active_sevpa(model, verbose=False):\n    from aalpy import SUL, run_KV, RandomWordEqOracle, SevpaAlphabet\n\n    class CustomSUL(SUL):\n        def __init__(self, automatonSUL):\n            super(CustomSUL, self).__init__()\n            self.sul = automatonSUL\n            self.sequences = []\n\n        def pre(self):\n            self.tc = []\n            self.sul.pre()\n\n        def post(self):\n            self.sequences.append(self.tc)\n            self.sul.post()\n\n        def step(self, letter):\n            output = self.sul.step(letter)\n            if letter is not None:\n                self.tc.append((letter, output))\n            return output\n\n    vpa_alphabet = model.get_input_alphabet()\n    alphabet = SevpaAlphabet(vpa_alphabet.internal_alphabet, vpa_alphabet.call_alphabet, vpa_alphabet.return_alphabet)\n    sul = AutomatonSUL(model)\n    sul = CustomSUL(sul)\n    eq_oracle = RandomWordEqOracle(alphabet.get_merged_alphabet(), sul, num_walks=50000, min_walk_len=6,\n                                   max_walk_len=30, reset_after_cex=True)\n    # eq_oracle = BreadthFirstExplorationEqOracle(vpa_alphabet.get_merged_alphabet(), sul, 7)\n    lm = run_KV(alphabet, sul, eq_oracle, automaton_type='vpa', print_level=3 if verbose else 0)\n\n    return convert_i_o_traces_for_RPNI(sul.sequences), lm\n\n\ndef split_data_to_learning_and_testing(data, learning_to_test_ratio=0.5):\n    total_number_positive = len([x for x in data if x[1]])\n    total_number_negative = len(data) - total_number_positive\n\n    num_learning_positive_seq = total_number_positive * learning_to_test_ratio\n    num_learning_negative_seq = total_number_negative * learning_to_test_ratio\n\n    # sorted(data, key=lambda x: len(x[0]))\n    shuffle(data)\n\n    learning_sequences, test_sequences = [], []\n\n    l_pos, l_neg = 0, 0\n    for seq, label in data:\n        if label and l_pos <= num_learning_positive_seq:\n            learning_sequences.append((seq, label))\n            l_pos += 1\n        elif not label and l_neg <= num_learning_negative_seq:\n            learning_sequences.append((seq, label))\n            l_neg += 1\n        else:\n            test_sequences.append((seq, label))\n\n    return learning_sequences, test_sequences\n\n\ndef run_experiment(experiment_id,\n                   ground_truth_model,\n                   num_of_learning_seq,\n                   max_learning_seq_len,\n                   random_data_generation=True,\n                   learning_to_test_ratio=0.5):\n    if random_data_generation:\n        data = generate_input_output_data_from_vpa(ground_truth_model,\n                                                   num_sequences=num_of_learning_seq,\n                                                   max_seq_len=max_learning_seq_len,\n                                                )\n    else:\n        all_generated_data = all_data[experiment_id]\n\n        # sorted(all_generated_data, key=lambda x: len(x))\n        shuffle(all_generated_data)\n\n        positive_seq = [x for x in all_generated_data if x[1]]\n        negative_seq = [x for x in all_generated_data if not x[1]]\n\n        data = []\n        data += positive_seq[:5000]\n        data += negative_seq[:10000 - len(data)]\n\n    vpa_alphabet = ground_truth_model.get_input_alphabet()\n\n    learning_data, test_data = split_data_to_learning_and_testing(data, learning_to_test_ratio=learning_to_test_ratio)\n\n    num_positive_learning = len([x for x in learning_data if x[1]])\n    learning_set_size = (num_positive_learning, len(learning_data) - num_positive_learning)\n\n    num_positive_test = len([x for x in test_data if x[1]])\n    num_test_size = (num_positive_test, len(test_data) - num_positive_test)\n\n    rpni_model = run_RPNI(learning_data, 'dfa', print_info=False, input_completeness='sink_state')\n\n    papni_model = run_PAPNI(learning_data, vpa_alphabet, print_info=False)\n\n    comparison_results = compare_rpni_and_papni(test_data, rpni_model, papni_model)\n\n    comparison_results = comparison_results + [learning_set_size, num_test_size]\n    return comparison_results\n\ndef run_experiments_multiple_times(test_models, num_times, learning_to_test_ratio=0.5):\n    all_results = defaultdict(list)\n    print(f'Running experiment on each model {num_times} times.')\n\n    for idx, gt in enumerate(test_models):\n        print('Experiment: ', idx)\n        for _ in range(num_times):\n            r = run_experiment(idx, gt, num_of_learning_seq=10000, max_learning_seq_len=50,\n                               random_data_generation=False, learning_to_test_ratio=learning_to_test_ratio)\n\n            all_results[idx].append(r)\n\n        rpni_results = [r[2] for r in all_results[idx]]\n        papni_results = [r[3] for r in all_results[idx]]\n\n        rpni_f1 = [r[2] for r in rpni_results]\n        papni_f1 = [r[2] for r in papni_results]\n\n        print(f'RPNI  (F1) : min {min(rpni_f1)}, max {max(rpni_f1)}, mean {mean(rpni_f1)}, stddev {stdev(rpni_f1)}')\n        print(f'PAPNI (F1) : min {min(papni_f1)}, max {max(papni_f1)}, mean {mean(papni_f1)}, stddev {stdev(papni_f1)}')\n        print('----------------------------------------------------------------')\n\n    import pickle\n    with open('papni_rpni_eval_results.pickle', 'wb') as handle:\n        pickle.dump(all_results, handle, protocol=pickle.HIGHEST_PROTOCOL)\n\ndef test_papni_based_on_sevpa_dataset():\n    all_models = get_all_VPAs()\n\n\n    for idx, gt in enumerate(all_models):\n        sevpa_papni_mismatch, papni_error, sevpa_error = 0, 0, 0\n\n        input_al = gt.get_input_alphabet()\n\n        sevpa_dataset, sevpa_model = get_sequences_from_active_sevpa(gt)\n        sevpa_dataset_set = set(sevpa_dataset)\n\n        papni_model = run_PAPNI(sevpa_dataset, input_al)\n\n        balanced_counter = 0\n        not_in_learning = 0\n        in_learning = 0\n\n        for seq, label in all_data[idx]:\n\n            if is_balanced(seq, input_al):\n                balanced_counter += 1\n\n                if (seq, label) not in sevpa_dataset_set:\n                    not_in_learning += 1\n                else:\n                    in_learning += 1\n\n            sevpa_model.reset_to_initial()\n            sevpa_output = sevpa_model.execute_sequence(sevpa_model.initial_state, seq)\n\n            papni_model.reset_to_initial()\n            papni_output = papni_model.execute_sequence(papni_model.initial_state, seq)\n\n            if sevpa_output != papni_output:\n                sevpa_papni_mismatch += 1\n            if papni_output[-1] != label:\n                papni_error += 1\n            if sevpa_output[-1] != label:\n                sevpa_error += 1\n\n        print('--------------------------------------')\n        print(f'Model Index {idx}; # well-matched {balanced_counter}, # unique tests {not_in_learning}')\n        print(f'Papni Error {papni_error}')\n        print(f'Sevpa Error {sevpa_error}')\n        print(f'Mismatch {sevpa_papni_mismatch}')\n\n        assert in_learning + not_in_learning == balanced_counter\n\n#test_papni_based_on_sevpa_dataset()\n\nall_models = get_all_VPAs()\nrun_experiments_multiple_times(all_models, num_times=20, learning_to_test_ratio=0.5)"
  },
  {
    "path": "Benchmarking/passive_mdp_vs_smm.py",
    "content": "import random\n\nimport aalpy.paths\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.automata.StochasticMealyMachine import smm_to_mdp_conversion\nfrom aalpy.learning_algs import run_Alergia\nfrom aalpy.utils import load_automaton_from_file, get_correct_prop_values, get_properties_file\nfrom aalpy.utils import model_check_experiment\n\npath_to_dir = '../DotModels/MDPs/'\nfiles = ['first_grid.dot', 'second_grid.dot',\n         'slot_machine.dot', 'mqtt.dot', 'tcp.dot']  # 'shared_coin.dot'\n\naalpy.paths.path_to_prism = \"C:/Program Files/prism-4.7/bin/prism.bat\"\naalpy.paths.path_to_properties = \"prism_eval_props/\"\n\n\ndef writeSamplesToFile(samples, path=\"alergiaSamples.txt\"):\n    isSMM = False\n    if isinstance(samples[0][0], tuple):\n        isSMM = True\n    with open(path, 'a') as f:\n        for sample in samples:\n            s = \"\" if isSMM else f'{str(sample.pop(0))}'\n            for i, o in sample:\n                s += f',{i},{o}'\n            f.write(s + '\\n')\n\n    f.close()\n    # samples.clear()\n\n\ndef deleteSampleFile(path=\"alergiaSamples.txt\"):\n    import os\n    if os.path.exists(path):\n        os.remove(path)\n\n\nnum_traces = 100000\n\nfor file in ['first_grid.dot']:\n\n    exp_name = file.split('.')[0]\n\n    original_mdp = load_automaton_from_file(path_to_dir + file, automaton_type='mdp')\n    input_alphabet = original_mdp.get_input_alphabet()\n\n    mdp_sul = AutomatonSUL(original_mdp)\n\n    for _ in range(1):\n\n        data = []\n        for _ in range(num_traces):\n            sample = [mdp_sul.pre()]\n            for _ in range(random.randint(10, 50)):\n                i = random.choice(input_alphabet)\n                o = mdp_sul.step(i)\n                sample.append((i, o))\n            data.append(sample)\n            mdp_sul.post()\n\n        learned_mdp = run_Alergia(data, automaton_type='mdp')\n\n        for s in data:\n            s.pop(0)\n\n        learned_smm = run_Alergia(data, automaton_type='smm')\n\n        smm_2_mdp = smm_to_mdp_conversion(learned_smm)\n\n        mdp_results, mdp_err = model_check_experiment(get_properties_file(exp_name),\n                                                      get_correct_prop_values(exp_name), learned_mdp)\n        smm_results, smm_err = model_check_experiment(get_properties_file(exp_name),\n                                                      get_correct_prop_values(exp_name), smm_2_mdp)\n\n        print(learned_mdp.size, learned_smm.size, smm_2_mdp.size)\n        print(f'-------{exp_name}---------')\n        print(f'MDP Error:       {mdp_err}')\n        print(f'SMM Error:       {smm_err}')\n        smm_diff = {}\n        for key, val in mdp_err.items():\n            if key not in smm_err.keys() or smm_err[key] == 0:\n                continue\n            smm_diff[key] = round(smm_err[key] - val, 2)\n        print(f'SMM differance: {smm_diff}')\n"
  },
  {
    "path": "Benchmarking/prism_eval_props/bluetooth.props",
    "content": "Pmax=? [ F<5 (\"crash\") ]\n\nPmax=? [ F<8 (\"crash\") ]\n\nPmax=? [ F<11 (\"crash\") ]\n\nPmax=? [ F<14 (\"crash\") ]\n\nPmax=? [ F<17 (\"crash\") ]\n\nPmax=? [ F<20 (\"crash\") ]\n\nPmax=? [ F<3 (\"no_response\") ]\n\nPmax=? [ F<5 (\"no_response\") ]\n\nPmax=? [ F<8 (\"no_response\") ]\n\nPmax=? [ F<11 (\"no_response\") ]\n\nPmax=? [ F<14 (\"no_response\") ]\n\nPmax=? [ F<17 (\"no_response\") ]\n\nPmax=? [ F<20 (\"no_response\") ]\n\n"
  },
  {
    "path": "Benchmarking/prism_eval_props/emqtt_two_client.props",
    "content": "Pmax=? [ F<5 (\"c2_Pub_c2_my_topic_bye\") ]\n\nPmax=? [ F<5 (\"c1_crash\") ]\n\nPmax=? [ F<11 (\"c1_crash\") ]\n\nPmax=? [ F<17 (\"c1_crash\") ]\n\nPmax=? [(!(\"c2_crash\")) U<12 (\"c2_Pub_c2_my_topic_messageQos1\") ]\n\n"
  },
  {
    "path": "Benchmarking/prism_eval_props/first_eval.props",
    "content": "Pmax=?[F<12(\"goal\")]\n\nPmax=? [ !(\"grass\") U<=14 (\"goal\") ]\n\nPmax=? [ !(\"sand\") U<=16 (\"goal\") ]\n\n"
  },
  {
    "path": "Benchmarking/prism_eval_props/second_eval.props",
    "content": "Pmax=?[F<15(\"goal\")]\n\nPmax=?[F<13(\"goal\")]\n\nPmax=? [ !(\"mud\") U<=18 (\"goal\") ]\n\nPmax=? [ !(\"sand\") U<=20 (\"goal\") ]\n\n"
  },
  {
    "path": "Benchmarking/prism_eval_props/shared_coin_eval.props",
    "content": "Pmax=?[F (\"finished\" & \"c1_heads\" & \"c2_tails\")]\n\nPmax=?[F (\"finished\" & \"c1_tails\" & \"c2_tails\")]\n\nPmax=?[!\"five\" U \"finished\"]\n\nPmax=?[!\"four\" U \"finished\"]\n\nPmax=?[F<40 (\"finished\" & \"c1_heads\" & \"c2_tails\")]\n\nPmax=?[F<40 (\"finished\" & \"c1_tails\" & \"c2_tails\")]\n\nPmax=?[!\"five\" U<40 \"finished\"]\n\nPmax=?[!\"four\" U<40 \"finished\"]\n\n"
  },
  {
    "path": "Benchmarking/prism_eval_props/slot_machine_eval.props",
    "content": "Pmax=? [ F (\"Pr10\") ]\n\nPmax=? [ F (\"Pr2\") ]\n\nPmax=? [ F (\"Pr0\") ]\n\nPmax=? [ X (X (\"r220\")) ]\n\nPmax=? [ X(X (X (\"r122\"))) ]\n\nPmax=? [ !(F<10 (\"end\")) ]\n\nPmax=? [ X (X (X (\"r111\")))&(F (\"Pr0\")) ]\n\n"
  },
  {
    "path": "Benchmarking/prism_eval_props/tcp_eval.props",
    "content": "\nPmax=? [ F<5 (\"crash\") ]\n\nPmax=? [ F<11 (\"crash\") ]\n\nPmax=? [ F<17 (\"crash\") ]\n\nPmax=? [ F<23 (\"crash\") ]\n"
  },
  {
    "path": "Benchmarking/rpni_papni_memory_footrpint.py",
    "content": "import sys\nfrom random import randint, random\nimport matplotlib.pyplot as plt\n\n# Data\nimport tikzplotlib\n\nfrom Benchmarking.visualize_papni_rpni import tikzplotlib_fix_ncols\nfrom aalpy import load_automaton_from_file, run_PAPNI, run_RPNI\nfrom aalpy.utils import generate_input_output_data_from_vpa\nfrom aalpy.utils.BenchmarkVpaModels import get_all_VPAs\nfrom random import seed\n\n# def get_total_size(obj, seen=None):\n#     \"\"\"Recursively find the size of an object and all its referenced objects.\"\"\"\n#     if seen is None:\n#         seen = set()\n#\n#     obj_id = id(obj)\n#     if obj_id in seen:  # Avoid processing the same object multiple times\n#         return 0\n#\n#     seen.add(obj_id)\n#     size = sys.getsizeof(obj)\n#\n#     if isinstance(obj, dict):\n#         size += sum(get_total_size(k, seen) + get_total_size(v, seen) for k, v in obj.items())\n#     elif isinstance(obj, (list, tuple, set, frozenset)):\n#         size += sum(get_total_size(i, seen) for i in obj)\n#     elif hasattr(obj, '__dict__'):  # For objects with __dict__ attribute\n#         size += get_total_size(vars(obj), seen)\n#     elif hasattr(obj, '__slots__'):  # For objects with __slots__\n#         size += sum(get_total_size(getattr(obj, s), seen) for s in obj.__slots__ if hasattr(obj, s))\n#\n#     return size\n#\n#\n# def size_in_mb(obj):\n#     size_bytes = get_total_size(obj)\n#     return size_bytes / (1024 ** 2)\n#\n#\n# #gt = load_automaton_from_file('../DotModels/arithmetics.dot', 'vpa')\n# gt = get_all_VPAs()[9]\n# vpa_alphabet = gt.get_input_alphabet()\n#\n# rpni_size = []\n# papni_size = []\n# for size in range(5000, 50001, 5000):\n#     print(size)\n#     data = generate_input_output_data_from_vpa(gt,\n#                                                num_sequences=size,\n#                                                max_seq_len=randint(6, 30))\n#\n#     y = run_RPNI(data, automaton_type='dfa', print_info=False)\n#     x = run_PAPNI(data, vpa_alphabet, print_info=False)\n#\n#     rpni_size.append(y)\n#     papni_size.append(x)\n#\n# print(rpni_size)\n# print(papni_size)\n\n\n# runtime (pta, alg) papni, rpni\nrpni_runtime = [(0.02, 0.04), (0.06, 0.11), (0.11, 0.14), (0.11, 0.22), (0.14, 0.24), (0.12, 0.26), (0.15, 0.31), (0.26, 0.28), (0.21, 0.4), (0.25, 0.43)]\npapni_runtime = [(0.0, 0.01), (0.01, 0.04), (0.02, 0.04), (0.02, 0.05), (0.02, 0.06), (0.04, 0.07), (0.02, 0.06), (0.03, 0.06), (0.06, 0.1), (0.03, 0.09)]\n\n# size rpni papni in Mb\nrpni_size = [1.8873348236083984, 3.9477672576904297, 5.673147201538086, 7.70704460144043, 9.281957626342773, 12.503767013549805, 14.622617721557617, 15.591878890991211, 18.589590072631836, 20.439626693725586]\npapni_size = [0.0034532546997070312, 0.0034532546997070312, 0.0034532546997070312, 0.0034532546997070312, 0.0034532546997070312, 0.0034532546997070312, 0.0034532546997070312, 0.0034532546997070312, 0.0034532546997070312, 0.0034532546997070312]\n\npapni_size = [papni_size[0]]\nfor i in range(len(rpni_runtime) - 1):\n    papni_size.append(papni_size[-1] * (rpni_size[i+1]/rpni_size[i] ))\n\nprint(papni_size)\n\n# Create subplots\nfig, axes = plt.subplots(1, 2, figsize=(12, 5))\n\nticks = range(5000, 50001, 5000)\n\n\n# Runtime plot\naxes[0].plot(ticks, [x + y for x,y in rpni_runtime], label=\"RPNI\", marker='o')\naxes[0].plot(ticks, [x + y for x,y in papni_runtime], label=\"PAPNI\", marker='s')\naxes[0].set_xlabel(\"Input Size\")\naxes[0].set_ylabel(\"Runtime (s)\")\naxes[0].set_title(\"Runtime Comparison\")\naxes[0].legend()\naxes[0].grid(True)\n\n# Size plot\naxes[1].plot(ticks, rpni_size, label=\"RPNI\", marker='o')\naxes[1].plot(ticks, papni_size, label=\"PAPNI\", marker='s')\naxes[1].set_xlabel(\"Input Size\")\naxes[1].set_ylabel(\"Size (MB)\")\naxes[1].set_title(\"Size Comparison\")\naxes[1].legend()\naxes[1].grid(True)\n\n# Layout adjustment\nplt.tight_layout()\n# plt.show()\n\ntikzplotlib_fix_ncols(fig)\n# plt.show()\ntikzplotlib.save(\"runtime_and_size_comparison.tex\")\n"
  },
  {
    "path": "Benchmarking/stochastic_benchmarking/Benchmark_ErrorStop.py",
    "content": "import random\nimport os\n\nimport aalpy.paths\n\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.learning_algs import run_stochastic_Lstar\nfrom aalpy.oracles.RandomWordEqOracle import RandomWordEqOracle\nfrom aalpy.utils import load_automaton_from_file, get_properties_file, get_correct_prop_values\nfrom aalpy.utils import model_check_experiment\nfrom aalpy.automata.StochasticMealyMachine import smm_to_mdp_conversion\n\nseeds = [1212,4557,19059,468,43,654,235345,6546,76768,4563,543526,777676,5555,776767,87878787,98989,60967553,3866677,1555841,8638]\n\npath_to_dir = '../DotModels/MDPs/'\nfiles = ['first_grid.dot', 'second_grid.dot'] # 'slot_machine.dot' ,'shared_coin.dot'  'mqtt.dot', 'tcp.dot'\n\nprop_folder = '../prism_eval_props/'\n\n# TODO Change the path to your PRIMS executable and change the path_to_prism in the stop_based_on_confidence method in ModelChecking.py.\nprism_executable = \"/home/mtappler/Programs/prism-4.4-linux64/bin/prism\"\n\naalpy.paths.path_to_prism =      \"C:/Program Files/prism-4.6/bin/prism.bat\"\naalpy.paths.path_to_properties = \"prism_eval_props/\"\n\nn_c = 20\nn_resample = 1000\nmin_rounds = 10\nmax_rounds = 300\nexperiment_repetition = 5\n\nuniform_parameters = False\nstrategy = [\"normal\"] # chi_square\ncex_sampling = [None] # random:100:0.15\ncex_processing = [None] # add a single prefix\n\nfor strat in strategy:\n    for cex_stat in cex_sampling:\n        for cex_proc in cex_processing:\n            print(strat, cex_stat, cex_proc)\n            benchmark_dir = f'FM_mdp_smm_error_based_stop/benchmark_{strat}_{cex_stat}_{cex_proc}/'\n            if not os.path.exists(benchmark_dir):\n                os.makedirs(benchmark_dir)\n            for seed in range(experiment_repetition):\n                print(seed)\n                random.seed(seeds[seed])\n\n                text_file = open(f\"{benchmark_dir}/exp_{seed}.csv\", \"w\")\n\n                for file in files:\n                    print(file)\n\n                    exp_name = file.split('.')[0]\n                    if uniform_parameters:\n                        if exp_name == 'first_grid':\n                            n_c, n_resample = n_c, n_resample\n                        elif exp_name == 'second_grid':\n                            n_c, n_resample = n_c, n_resample\n                        elif exp_name == 'shared_coin':\n                            n_c, n_resample = n_c, n_resample\n                        elif exp_name == 'slot_machine':\n                            n_c, n_resample = n_c, n_resample\n                        elif exp_name == 'mqtt':\n                            n_c, n_resample = n_c, n_resample\n                        elif exp_name == 'tcp':\n                            n_c, n_resample = n_c, n_resample\n                    else:\n                        if exp_name == 'first_grid':\n                            n_c, n_resample = 20, 1000\n                        elif exp_name == 'second_grid':\n                            n_c, n_resample = 20, 2000\n                        elif exp_name == 'shared_coin':\n                            n_c, n_resample = 25, 2500\n                        elif exp_name == 'slot_machine':\n                            n_c, n_resample = 30, 5000\n                        elif exp_name == 'mqtt':\n                            n_c, n_resample = 20, 1000\n                        elif exp_name == 'tcp':\n                            n_c, n_resample = 20, 1000\n\n                    stopping_data = (get_properties_file(exp_name), get_correct_prop_values(exp_name), 0.02)\n\n                    original_mdp = load_automaton_from_file(path_to_dir + file, automaton_type='mdp')\n                    input_alphabet = original_mdp.get_input_alphabet()\n\n                    mdp_sul = AutomatonSUL(original_mdp)\n\n                    eq_oracle = RandomWordEqOracle(input_alphabet, mdp_sul, num_walks=150, min_walk_len=5,\n                                                               max_walk_len=15, reset_after_cex=True)\n\n                    learned_mdp, data_mdp = run_stochastic_Lstar(input_alphabet, mdp_sul, eq_oracle, automaton_type='mdp',\n                                                                 n_c=n_c, n_resample=n_resample, min_rounds=min_rounds, strategy=strat,\n                                                                 max_rounds=max_rounds, return_data=True, samples_cex_strategy=cex_stat,\n                                                                 print_level=1, cex_processing=cex_proc, property_based_stopping=stopping_data)\n\n                    del mdp_sul\n                    del eq_oracle\n                    random.seed(seeds[seed])\n                    mdp_sul = AutomatonSUL(original_mdp)\n\n                    eq_oracle = RandomWordEqOracle(input_alphabet, mdp_sul, num_walks=150, min_walk_len=5,\n                                                               max_walk_len=15, reset_after_cex=True)\n\n                    learned_smm, data_smm = run_stochastic_Lstar(input_alphabet, mdp_sul, eq_oracle, automaton_type='smm',\n                                                                 n_c=n_c, n_resample=n_resample, min_rounds=min_rounds, strategy=strat,\n                                                                 max_rounds=max_rounds, return_data=True, samples_cex_strategy=cex_stat,\n                                                                 print_level=1, cex_processing=cex_proc, property_based_stopping=stopping_data)\n\n                    smm_2_mdp = smm_to_mdp_conversion(learned_smm)\n\n                    mdp_results, mdp_err = model_check_experiment(get_properties_file(exp_name),\n                                                                  get_correct_prop_values(exp_name), learned_mdp)\n                    smm_results, smm_err = model_check_experiment(get_properties_file(exp_name),\n                                                                  get_correct_prop_values(exp_name), smm_2_mdp)\n\n                    properties_string_header = \",\".join([f'{key}_val,{key}_err' for key in mdp_results.keys()])\n\n                    property_string_mdp = \",\".join([f'{str(mdp_results[p])},{str(mdp_err[p])}' for p in mdp_results.keys()])\n                    property_string_smm = \",\".join([f'{str(smm_results[p])},{str(smm_err[p])}' for p in smm_results.keys()])\n\n                    text_file.write('Exp_Name, n_c, n_resample, Final Hypothesis Size, Learning time,'\n                                    'Eq. Query Time, Learning Rounds, #MQ Learning, # Steps Learning,'\n                                    f'# MQ Eq.Queries, # Steps Eq.Queries , {properties_string_header}\\n')\n\n                    text_file.write(f'learned_mdp_{exp_name},{n_c},{n_resample}, {data_mdp[\"automaton_size\"]}, '\n                                    f'{data_mdp[\"learning_time\"]}, {data_mdp[\"eq_oracle_time\"]}, '\n                                    f'{data_mdp[\"learning_rounds\"]}, {data_mdp[\"queries_learning\"]}, {data_mdp[\"steps_learning\"]},'\n                                    f'{data_mdp[\"queries_eq_oracle\"]}, {data_mdp[\"steps_eq_oracle\"]},'\n                                    f'{property_string_mdp}\\n')\n\n                    text_file.write(f'learned_smm_{exp_name},{n_c},{n_resample}, {data_smm[\"automaton_size\"]}, '\n                                    f'{data_smm[\"learning_time\"]}, {data_smm[\"eq_oracle_time\"]}, '\n                                    f'{data_smm[\"learning_rounds\"]}, {data_smm[\"queries_learning\"]}, {data_smm[\"steps_learning\"]},'\n                                    f'{data_smm[\"queries_eq_oracle\"]}, {data_smm[\"steps_eq_oracle\"]},'\n                                    f'{property_string_smm}\\n')\n\n                    text_file.flush()\n\n                text_file.close()\n"
  },
  {
    "path": "Benchmarking/stochastic_benchmarking/CompleteStochasticBenchmarking.py",
    "content": "import random\nimport time\n\nimport aalpy.paths\n\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.learning_algs import run_stochastic_Lstar\nfrom aalpy.oracles.RandomWordEqOracle import RandomWordEqOracle\nfrom aalpy.utils import load_automaton_from_file, get_properties_file, get_correct_prop_values\nfrom aalpy.utils import model_check_experiment\nfrom aalpy.automata.StochasticMealyMachine import smm_to_mdp_conversion\n\nseeds = [29334,1554,9430459,92344168,55451679,569315,7776892,3875261,811,51,766603,778438967,9819877,6755560,52903,5257,4635,358,1441,838]\n\npath_to_dir = '../DotModels/MDPs/'\n# files = ['first_grid.dot', 'second_grid.dot', 'slot_machine.dot', 'mqtt.dot', 'tcp.dot'] # 'slot_machine.dot' ,\n# 'shared_coin.dot'\nfiles = ['second_grid.dot', 'mqtt.dot'] # 'slot_machine.dot' ,'shared_coin.dot'\n\nprop_folder = '../prism_eval_props/'\n\n# TODO Change the path to your PRIMS executable\n\naalpy.paths.path_to_prism =      \"C:/Program Files/prism-4.6/bin/prism.bat\"\naalpy.paths.path_to_properties = \"../prism_eval_props/\"\n\nn_c = 10\nn_resample = 1000\nmin_rounds = 25\nmax_rounds = 500\nexperiment_repetition = 10\n\nuniform_parameters = False\nstrategy = [\"normal\", \"chi2\"] # chi_square\ncex_sampling = ['bfs',] # random:100:0.15\ncex_processing = [None, 'longest_prefix'] # add a single prefix\nstart = time.time()\n\nmodel_dict = {m.split('.')[0] : load_automaton_from_file(path_to_dir + m, automaton_type='mdp') for m in files}\n\nfor strat in strategy:\n    for cex_stat in cex_sampling:\n        for cex_proc in cex_processing:\n            print(strat, cex_stat, cex_proc)\n            benchmark_dir = f'FM_mdp_smm/benchmark_22_04_{strat}_{cex_proc}/'\n            for seed in range(experiment_repetition):\n                print(seed)\n                random.seed(seeds[seed])\n                import os\n\n                if not os.path.exists(benchmark_dir):\n                    os.makedirs(benchmark_dir)\n                text_file = open(f\"{benchmark_dir}/exp_{seed}.csv\", \"w\")\n\n                for file in files:\n                    print(file)\n\n                    exp_name = file.split('.')[0]\n\n                    original_mdp = model_dict[exp_name]\n                    input_alphabet = original_mdp.get_input_alphabet()\n\n                    mdp_sul = AutomatonSUL(original_mdp)\n\n                    eq_oracle = RandomWordEqOracle(input_alphabet, mdp_sul, num_walks=150, min_walk_len=5,\n                                                               max_walk_len=16, reset_after_cex=True)\n\n                    learned_mdp, data_mdp = run_stochastic_Lstar(input_alphabet, mdp_sul, eq_oracle, automaton_type='mdp',\n                                                                 min_rounds=min_rounds, strategy=strat,\n                                                                 max_rounds=max_rounds, return_data=True, samples_cex_strategy=cex_stat,\n                                                                 print_level=1, cex_processing=cex_proc, target_unambiguity=0.99)\n\n                    del mdp_sul\n                    del eq_oracle\n                    random.seed(seeds[seed])\n                    mdp_sul = AutomatonSUL(original_mdp)\n\n                    eq_oracle = RandomWordEqOracle(input_alphabet, mdp_sul, num_walks=150, min_walk_len=5,\n                                                               max_walk_len=15, reset_after_cex=True)\n\n                    learned_smm, data_smm = run_stochastic_Lstar(input_alphabet, mdp_sul, eq_oracle, automaton_type='smm',\n                                                                 min_rounds=min_rounds, strategy=strat,\n                                                                 max_rounds=max_rounds, return_data=True, samples_cex_strategy=cex_stat,\n                                                                 print_level=1, cex_processing=cex_proc, target_unambiguity=0.99)\n\n                    smm_2_mdp = smm_to_mdp_conversion(learned_smm)\n\n                    mdp_results, mdp_err = model_check_experiment(get_properties_file(exp_name),\n                                                                  get_correct_prop_values(exp_name), learned_mdp)\n                    smm_results, smm_err = model_check_experiment(get_properties_file(exp_name),\n                                                                  get_correct_prop_values(exp_name), smm_2_mdp)\n\n                    properties_string_header = \",\".join([f'{key}_val,{key}_err' for key in mdp_results.keys()])\n\n                    property_string_mdp = \",\".join([f'{str(mdp_results[p])},{str(mdp_err[p])}' for p in mdp_results.keys()])\n                    property_string_smm = \",\".join([f'{str(smm_results[p])},{str(smm_err[p])}' for p in smm_results.keys()])\n\n                    text_file.write('Exp_Name,n_c,n_resample,Final Hypothesis Size,Learning time,'\n                                    'Eq. Query Time,Learning Rounds,#MQ Learning,# Steps Learning,'\n                                    f'# MQ Eq.Queries,# Steps Eq.Queries ,{properties_string_header}\\n')\n\n                    text_file.write(f'learned_mdp_{exp_name},{n_c},{n_resample},{data_mdp[\"automaton_size\"]},'\n                                    f'{data_mdp[\"learning_time\"]},{data_mdp[\"eq_oracle_time\"]},'\n                                    f'{data_mdp[\"learning_rounds\"]},{data_mdp[\"queries_learning\"]},{data_mdp[\"steps_learning\"]},'\n                                    f'{data_mdp[\"queries_eq_oracle\"]},{data_mdp[\"steps_eq_oracle\"]},'\n                                    f'{property_string_mdp}\\n')\n\n                    text_file.write(f'learned_smm_{exp_name},{n_c},{n_resample},{data_smm[\"automaton_size\"]},'\n                                    f'{data_smm[\"learning_time\"]},{data_smm[\"eq_oracle_time\"]}, '\n                                    f'{data_smm[\"learning_rounds\"]},{data_smm[\"queries_learning\"]},{data_smm[\"steps_learning\"]},'\n                                    f'{data_smm[\"queries_eq_oracle\"]},{data_smm[\"steps_eq_oracle\"]},'\n                                    f'{property_string_smm}\\n')\n\n                    text_file.flush()\n\n                text_file.close()\nprint('Exp duration', time.time() - start)\n"
  },
  {
    "path": "Benchmarking/stochastic_benchmarking/StochasticBenchmarkingWPrism.py",
    "content": "import random\n\nimport aalpy.paths\n\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.learning_algs import run_stochastic_Lstar\nfrom aalpy.oracles.RandomWalkEqOracle import RandomWalkEqOracle\nfrom aalpy.utils import load_automaton_from_file, get_correct_prop_values, get_properties_file\nfrom aalpy.utils import model_check_experiment\nfrom aalpy.automata.StochasticMealyMachine import smm_to_mdp_conversion\n\npath_to_dir = '../DotModels/MDPs/'\nfiles = ['first_grid.dot', 'second_grid.dot',\n         'slot_machine.dot', 'mqtt.dot', 'tcp.dot'] # 'shared_coin.dot'\n\naalpy.paths.path_to_prism =      \"C:/Program Files/prism-4.6/bin/prism.bat\"\naalpy.paths.path_to_properties = \"../prism_eval_props/\"\n\nn_c = 20\nn_resample = 1000\nmin_rounds = 10\nmax_rounds = 1000\n\nstrategy = \"normal\"\n\nfor seed in range(1, 4):\n    random.seed(seed)\n    benchmark_dir = f\"benchmark_complete_no_cq/benchmark_data_{seed}\"\n    import os\n\n    if not os.path.exists(benchmark_dir):\n        os.makedirs(benchmark_dir)\n    text_file = open(f\"{benchmark_dir}/StochasticExperiments.csv\", \"w\")\n    uniform_parameters = True\n\n    for file in files:\n        exp_name = file.split('.')[0]\n        if uniform_parameters:\n            if exp_name == 'first_grid':\n                n_c, n_resample = n_c, n_resample\n            elif exp_name == 'second_grid':\n                n_c, n_resample = n_c, n_resample\n            elif exp_name == 'shared_coin':\n                n_c, n_resample = n_c, n_resample\n            elif exp_name == 'slot_machine':\n                n_c, n_resample = n_c, n_resample\n            elif exp_name == 'mqtt':\n                n_c, n_resample = n_c, n_resample\n            elif exp_name == 'tcp':\n                n_c, n_resample = n_c, n_resample\n        else:\n            if exp_name == 'first_grid':\n                n_c, n_resample = 20, 1000\n            elif exp_name == 'second_grid':\n                n_c, n_resample = 20, 1000\n            elif exp_name == 'shared_coin':\n                n_c, n_resample = 30, 3000\n            elif exp_name == 'slot_machine':\n                n_c, n_resample = 40, 5000\n            elif exp_name == 'mqtt':\n                n_c, n_resample = 20, 1000\n            elif exp_name == 'tcp':\n                n_c, n_resample = 20, 1000\n\n        original_mdp = load_automaton_from_file(path_to_dir + file, automaton_type='mdp')\n        input_alphabet = original_mdp.get_input_alphabet()\n\n        mdp_sul = AutomatonSUL(original_mdp)\n\n        eq_oracle = RandomWalkEqOracle(input_alphabet, mdp_sul, num_steps=n_resample * (1 / 0.25),\n                                                   reset_after_cex=True, reset_prob=0.25)\n\n        learned_mdp, data_mdp = run_stochastic_Lstar(input_alphabet, mdp_sul, eq_oracle, automaton_type='mdp',\n                                                     n_c=n_c, n_resample=n_resample, min_rounds=min_rounds, strategy=strategy,\n                                                     max_rounds=max_rounds, return_data=True, samples_cex_strategy=\"bfs\")\n\n        mdp_sul.num_steps = 0\n        mdp_sul.num_queries = 0\n\n        learned_smm, data_smm = run_stochastic_Lstar(input_alphabet, mdp_sul, eq_oracle, automaton_type='smm',\n                                                     n_c=n_c, n_resample=n_resample, min_rounds=min_rounds, strategy=strategy,\n                                                     max_rounds=max_rounds, return_data=True, samples_cex_strategy=\"bfs\")\n\n        smm_2_mdp = smm_to_mdp_conversion(learned_smm)\n\n        mdp_results, mdp_err = model_check_experiment(get_properties_file(exp_name),\n                                                      get_correct_prop_values(exp_name), learned_mdp)\n        smm_results, smm_err = model_check_experiment(get_properties_file(exp_name),\n                                                      get_correct_prop_values(exp_name), smm_2_mdp)\n\n        properties_string_header = \",\".join([f'{key}_val,{key}_err' for key in mdp_results.keys()])\n\n        property_string_mdp = \",\".join([f'{str(mdp_results[p])},{str(mdp_err[p])}' for p in mdp_results.keys()])\n        property_string_smm = \",\".join([f'{str(smm_results[p])},{str(smm_err[p])}' for p in smm_results.keys()])\n\n        text_file.write('Exp_Name, n_c, n_resample, Final Hypothesis Size, Learning time,'\n                        'Eq. Query Time, Learning Rounds, #MQ Learning, # Steps Learning,'\n                        f'# MQ Eq.Queries, # Steps Eq.Queries , {properties_string_header}\\n')\n\n        text_file.write(f'learned_mdp_{exp_name},{n_c},{n_resample}, {data_mdp[\"automaton_size\"]}, '\n                        f'{data_mdp[\"learning_time\"]}, {data_mdp[\"eq_oracle_time\"]}, '\n                        f'{data_mdp[\"learning_rounds\"]}, {data_mdp[\"queries_learning\"]}, {data_mdp[\"steps_learning\"]},'\n                        f'{data_mdp[\"queries_eq_oracle\"]}, {data_mdp[\"steps_eq_oracle\"]},'\n                        f'{property_string_mdp}\\n')\n\n        text_file.write(f'learned_smm_{exp_name},{n_c},{n_resample}, {data_smm[\"automaton_size\"]}, '\n                        f'{data_smm[\"learning_time\"]}, {data_smm[\"eq_oracle_time\"]}, '\n                        f'{data_smm[\"learning_rounds\"]}, {data_smm[\"queries_learning\"]}, {data_smm[\"steps_learning\"]},'\n                        f'{data_smm[\"queries_eq_oracle\"]}, {data_smm[\"steps_eq_oracle\"]},'\n                        f'{property_string_smm}\\n')\n\n        text_file.flush()\n\n    text_file.close()\n"
  },
  {
    "path": "Benchmarking/stochastic_benchmarking/passive_mdp_vs_smm.py",
    "content": "import random\nimport os\nimport aalpy.paths\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.automata.StochasticMealyMachine import smm_to_mdp_conversion\nfrom aalpy.learning_algs import run_Alergia, run_JAlergia\nfrom aalpy.utils import load_automaton_from_file, get_correct_prop_values, get_properties_file, visualize_automaton\nfrom aalpy.utils import model_check_experiment\n\npath_to_dir = '../DotModels/MDPs/'\nfiles = ['first_grid.dot', 'second_grid.dot',\n         'slot_machine.dot', 'mqtt.dot', 'tcp.dot']  # 'shared_coin.dot'\n\naalpy.paths.path_to_prism = \"C:/Program Files/prism-4.7/bin/prism.bat\"\naalpy.paths.path_to_properties = \"../prism_eval_props/\"\n\n\ndef writeSamplesToFile(samples, path=\"alergiaSamples.txt\"):\n    isSMM = False\n    if isinstance(samples[0][0], tuple):\n        isSMM = True\n    with open(path, 'a') as f:\n        for sample in samples:\n            s = \"\" if isSMM else f'{str(sample.pop(0))}'\n            for i, o in sample:\n                s += f',{i},{o}'\n            f.write(s + '\\n')\n\n    f.close()\n    # samples.clear()\n\n\ndef deleteSampleFile(path=\"alergiaSamples.txt\"):\n    import os\n    if os.path.exists(path):\n        os.remove(path)\n\n\nnum_traces = 100000\n\nfor file in ['first_grid.dot']:\n\n    exp_name = file.split('.')[0]\n\n    original_mdp = load_automaton_from_file(path_to_dir + file, automaton_type='mdp')\n    input_alphabet = original_mdp.get_input_alphabet()\n\n    mdp_sul = AutomatonSUL(original_mdp)\n\n    for _ in range(1):\n\n        data = []\n        for _ in range(num_traces):\n            sample = [mdp_sul.pre()]\n            for _ in range(random.randint(10, 50)):\n                i = random.choice(input_alphabet)\n                o = mdp_sul.step(i)\n                sample.append((i, o))\n            data.append(sample)\n            mdp_sul.post()\n\n        learned_mdp = run_Alergia(data, automaton_type='mdp')\n\n        for s in data:\n            s.pop(0)\n\n        learned_smm = run_Alergia(data, automaton_type='smm')\n\n        smm_2_mdp = smm_to_mdp_conversion(learned_smm)\n\n        mdp_results, mdp_err = model_check_experiment(get_properties_file(exp_name),\n                                                      get_correct_prop_values(exp_name), learned_mdp)\n        smm_results, smm_err = model_check_experiment(get_properties_file(exp_name),\n                                                      get_correct_prop_values(exp_name), smm_2_mdp)\n\n        print(learned_mdp.size, learned_smm.size, smm_2_mdp.size)\n        print(f'-------{exp_name}---------')\n        print(f'MDP Error:       {mdp_err}')\n        print(f'SMM Error:       {smm_err}')\n        smm_diff = {}\n        for key, val in mdp_err.items():\n            if key not in smm_err.keys() or smm_err[key] == 0:\n                continue\n            smm_diff[key] = round(smm_err[key] - val, 2)\n        print(f'SMM differance: {smm_diff}')\n"
  },
  {
    "path": "Benchmarking/stochastic_benchmarking/plot_error_steps.py",
    "content": "import matplotlib.pyplot as plt\n\nfrom aalpy.utils import load_automaton_from_file\nfrom aalpy.utils import statistical_model_checking\n\nmodel = load_automaton_from_file('../../DotModels/MDPs/bluetooth.dot', automaton_type='mdp')\n\nsteps = [3, 5, 8, 11, 14, 17, 20]\n\n\n# statistical_tests= []\n# for s in steps:\n#     e = statistical_model_checking(model, {'no_response'}, s)\n#     statistical_tests.append(e)\n#\n# print(statistical_tests)\n\ndef crash_plot():\n    original_values_crash = [0, 0.16800000000000004, 0.3926480000000001, 0.5572338000000001, 0.6772233874640001,\n                             0.7646958490393682, 0.8284632739463244]\n\n    random_input_crash = [0, 0.001981749035076958, 0.0281691469985939, 0.03959723310087103, 0.046344616720299714,\n                          0.04758085064218106, 0.05136504760916134]\n\n    # smm learning took 34k queries\n    smm_crash_property = [0, 0.174, 0.4046, 0.5714, 0.6915, 0.778, 0.8402, ]\n    # mdp learning 180k queries\n    mdp_crash_property = [0, 0.1899, 0.4624, 0.6471, 0.7684, 0.848, 0.9002, ]\n\n    plt.plot(steps, original_values_crash, label='Correct Values')\n    plt.plot(steps, smm_crash_property, label='SMM Values')\n    plt.plot(steps, mdp_crash_property, label='MDP Values')\n    plt.plot(steps, random_input_crash, label='Random Inputs')\n\n    plt.xticks(steps)\n\n    plt.grid()\n    plt.legend()\n    plt.show()\n\n\ndef no_response():\n    original_values_no_response = [0.36000000000000004, 0.5904, 0.7902848, 0.8926258176000001,\n                                   0.9450244186112, 0.9718525023289344, 0.9855884811924145]\n    mdp_no_response = [0.3993, 0.6407, 0.8315, 0.921, 0.9629, 0.9826, 0.9918]\n    smm_no_response = [0.3652, 0.5966, 0.7956, 0.8965, 0.9476, 0.9734, 0.9865]\n    random_input_no_response = [0.29130767125614576, 0.30205630054639654, 0.3069446148329197, 0.31200279332244946,\n                                0.3154095142827484, 0.3145318825672143, 0.3125784442326385]\n\n    plt.plot(steps, original_values_no_response, label='Correct Values')\n    plt.plot(steps, smm_no_response, label='SMM Values')\n    plt.plot(steps, mdp_no_response, label='MDP Values')\n    plt.plot(steps, random_input_no_response, label='Random Inputs')\n\n    plt.xticks(steps)\n\n    plt.grid()\n    plt.legend()\n    plt.show()\n\ndef side_by_side():\n    original_values_crash = [0, 0.16800000000000004, 0.3926480000000001, 0.5572338000000001, 0.6772233874640001,\n                             0.7646958490393682, 0.8284632739463244]\n\n    random_input_crash = [0, 0.001981749035076958, 0.0281691469985939, 0.03959723310087103, 0.046344616720299714,\n                          0.04758085064218106, 0.05136504760916134]\n\n    # smm learning took 34k queries\n    smm_crash_property = [0, 0.174, 0.4046, 0.5714, 0.6915, 0.778, 0.8402, ]\n    # mdp learning 180k queries\n    mdp_crash_property = [0, 0.1899, 0.4624, 0.6471, 0.7684, 0.848, 0.9002, ]\n\n    original_values_no_response = [0.36000000000000004, 0.5904, 0.7902848, 0.8926258176000001,\n                                   0.9450244186112, 0.9718525023289344, 0.9855884811924145]\n    mdp_no_response = [0.3993, 0.6407, 0.8315, 0.921, 0.9629, 0.9826, 0.9918]\n    smm_no_response = [0.3652, 0.5966, 0.7956, 0.8965, 0.9476, 0.9734, 0.9865]\n    random_input_no_response = [0.29130767125614576, 0.30205630054639654, 0.3069446148329197, 0.31200279332244946,\n                                0.3154095142827484, 0.3145318825672143, 0.3125784442326385]\n\n    fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(5, 3))\n\n    axes[0].plot_side_by_side()\n    axes[0].plot_side_by_side()\n    axes[0].plot_side_by_side()\n    axes[0].plot_side_by_side()\n    axes[0].set_xlabel('Steps to \\'crash\\'')\n    axes[0].set_ylabel('Property Value')\n\n    axes[1].plot_side_by_side()\n    axes[1].plot_side_by_side()\n    axes[1].plot_side_by_side()\n    axes[1].plot_side_by_side()\n    axes[1].set_xlabel('Steps to \\'no_response\\'')\n    axes[1].set_ylabel('Property Value')\n\n    axes[0].set_xticks(steps)\n    axes[1].set_xticks(steps)\n\n    axes[0].grid()\n    axes[1].grid()\n    axes[0].legend()\n\n    fig.tight_layout()\n\n    plt.show()\n\n    # import tikzplotlib\n    # tikzplotlib.save(\"properties_over_time.tex\")\n\ncrash_plot()"
  },
  {
    "path": "Benchmarking/stochastic_benchmarking/stochastic_benchmark_random_automata.py",
    "content": "from itertools import product\n\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.learning_algs import run_stochastic_Lstar\nfrom aalpy.oracles import RandomWordEqOracle\nfrom aalpy.utils import generate_random_mdp, generate_random_smm\n\nautomata_size = [5, 10, 15, 20, 30, 50, ]\ninputs_size = [2, 3, 5, 7, 9]\noutputs_size = [2, 5, 10, 15, 20]\ninputs_size = [7]\noutputs_size = [15]\n\n\ndef learn(mdp, type):\n    input_al = mdp.get_input_alphabet()\n    sul = AutomatonSUL(mdp)\n    eq_oracle = RandomWordEqOracle(input_al, sul, num_walks=1000, min_walk_len=4, max_walk_len=20)\n    return run_stochastic_Lstar(input_al, sul, eq_oracle, automaton_type=type, cex_processing=None, print_level=0,\n                                return_data=True)\n\n\nnum_queries_mdp = []\nnum_queries_smm = []\n\n# i = 0\n# for p in product(automata_size, inputs_size, outputs_size):\n#     num_states, num_inputs, num_outputs = p\n#     if num_inputs > num_outputs:\n#         continue\n#\n#     print(i)\n#     i += 1\n#\n#     # random_mdp = generate_random_mdp(num_states=num_states, input_size=num_inputs, output_size=num_outputs)\n#     random_smm = generate_random_mdp(num_states=num_states, input_size=num_inputs, output_size=num_outputs)\n#     # random_smm = random_smm.to_mdp()\n#\n#     _, mdp_data = learn(random_smm, 'mdp')\n#     _, smm_data = learn(random_smm, 'smm')\n#\n#     num_queries_mdp.append(mdp_data['queries_learning'] + mdp_data['queries_eq_oracle'])\n#     num_queries_smm.append(smm_data['queries_learning'] + smm_data['queries_eq_oracle'])\n\nprint(num_queries_mdp)\nprint(num_queries_smm)\n\nnum_queries_mdp_3_7 = [77115, 85440, 36326, 132485, 250055, 343526]\nnum_queries_smm_3_7 = [23511, 14287, 17106, 55482, 50935, 99730]\n\nnum_queries_mdp_4_10 = [54654, 265240, 245245, 238944, 320026, 1170086]\nnum_queries_smm_4_10 = [7122, 42637, 32431, 51821, 75703, 204150]\n\nnum_queries_mdp_7_15 = [237731, 397386, 924637, 2066456, 4117725, 4774201]\nnum_queries_smm_7_15 = [15733, 19148, 52214, 106436, 157414, 605491]\n\n# mdp was used for data gen\n\nmdp_base_num_queries_mdp_3_7 = [6515, 13659, 42904, 31798, 129641, 128275]\nmdp_base_num_queries_smm_3_7 = [7383, 16985, 55428, 78679, 230936, 479493]\n\nmdp_base_num_queries_mdp_4_10 = [10110, 14032, 61815, 35108, 61489, 115270]\nmdp_base_num_queries_smm_4_10 = [8284, 11257, 38399, 49637, 74183, 145063]\n\nmdp_base_num_queries_mdp_7_15 = [7611, 16438, 12564, 33355, 76704, 348364]\nmdp_base_num_queries_smm_7_15 = [12132, 29568, 36804, 60763, 95613, 348675]\n\npairs_smm_base = [(num_queries_mdp_3_7, num_queries_smm_3_7), (num_queries_mdp_4_10, num_queries_smm_4_10),\n                  (num_queries_mdp_7_15, num_queries_smm_7_15)]\n\npairs_mdp_base = [(mdp_base_num_queries_mdp_3_7, mdp_base_num_queries_smm_3_7),\n                  (mdp_base_num_queries_mdp_4_10, mdp_base_num_queries_smm_4_10),\n                  (mdp_base_num_queries_mdp_7_15, mdp_base_num_queries_smm_7_15)]\n#\nfor mdp, smm in pairs_mdp_base:\n    save = []\n    for m, s in zip(mdp, smm):\n        save.append(100 - round(s / m * 100, 2))\n    print(save)\n\nsmm_save_3_7 = [69.51, 83.28, 52.91, 58.12, 79.63, 70.97]\nsmm_save_4_10 = [86.97, 83.93, 86.78, 78.31, 76.34, 82.55]\nsmm_save_7_15 = [93.38, 95.18, 94.35, 94.85, 96.18, 87.32]\n\n#\n# def plot_queries_smm_as_base():\n#     import matplotlib.pyplot as plt\n#\n#     plt.plot(automata_size, smm_save_3_7, label='I:3,O: 7)')\n#     plt.plot(automata_size, smm_save_4_10, label='I:4,O: 10')\n#     plt.plot(automata_size, smm_save_7_15, label='I:7,O: 15')\n#\n#     plt.xticks(automata_size)\n#\n#     plt.grid()\n#     plt.legend()\n#     plt.show()\n\n# plot_queries_smm_as_base()\n"
  },
  {
    "path": "Benchmarking/stochastic_benchmarking/strategy_comp.py",
    "content": "from statistics import mean\n\nfrom aalpy.learning_algs.stochastic.DifferenceChecker import AdvancedHoeffdingChecker, HoeffdingChecker\n\nimport aalpy.paths\n\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.learning_algs import run_stochastic_Lstar\n\nfrom aalpy.oracles import RandomWordEqOracle\nfrom aalpy.utils import load_automaton_from_file, model_check_experiment, get_properties_file, get_correct_prop_values\n\naalpy.paths.path_to_prism = \"C:/Program Files/prism-4.6/bin/prism.bat\"\naalpy.paths.path_to_properties = \"../../Benchmarking/prism_eval_props/\"\n\nexample = 'mqtt'\n\nmdp = load_automaton_from_file(f'../../DotModels/MDPs/{example}.dot', automaton_type='mdp')\n\nstrategies = [AdvancedHoeffdingChecker(alpha=0.001), 'chi2']\n\n\ndef learn(strategy):\n    input_al = mdp.get_input_alphabet()\n    sul = AutomatonSUL(mdp)\n    eq_oracle = RandomWordEqOracle(input_al, sul, num_walks=1000, min_walk_len=4, max_walk_len=20)\n    model, data = run_stochastic_Lstar(input_al, sul, eq_oracle, automaton_type='smm', strategy=strategy,\n                                       cex_processing=None, print_level=0, return_data=True)\n\n    num_queries = data['queries_learning'] + data['queries_eq_oracle']\n\n    _, diff = model_check_experiment(get_properties_file(example), get_correct_prop_values(example), model.to_mdp())\n\n    avg_error = mean(diff.values())\n\n    return num_queries, avg_error\n\n\n# strategies = [HoeffdingChecker(alpha=0.001)]\n# for s in strategies:\n#     plot_points = []\n#     for _ in range(10):\n#         plot_points.append(learn(s))\n#     print(s)\n#     print(plot_points)\n\n# mqtt\nnormal_data_mqtt = [(38482, 0.01964), (31372, 0.01652), (31170, 0.00624), (31590, 0.01738), (30987, 0.01796),\n               (46244, 0.0222), (48533, 0.01496), (31979, 0.02714), (33219, 0.00758), (32295, 0.015560000000000001)]\nchi2_data_mqtt = [(155242, 0.01054), (225776, 0.00348), (230385, 0.01838), (70482, 0.01374), (85096, 0.01284),\n             (64644, 0.0354), (68898, 0.03556), (61591, 0.02464), (61773, 0.0067), (35876, 0.01562)]\n\n\n#\n# bluetooth\nnormal_data_bt = [(51490, 0.011823076923076924), (66996, 0.015015384615384616), (96563, 0.003523076923076923),\n               (41964, 0.030623076923076923), (40395, 0.026623076923076923), (62838, 0.012146153846153846),\n               (123363, 0.03417692307692308), (100228, 0.029423076923076923), (51425, 0.009438461538461538),\n               (67885, 0.0241)]\nchi2_data_bt = [(19523, 0.009261538461538462), (20467, 0.038446153846153845), (34288, 0.058253846153846156),\n             (30030, 0.03462307692307692), (18773, 0.038215384615384616), (16949, 0.04113846153846154),\n             (18195, 0.03705384615384615), (19437, 0.030615384615384614), (16834, 0.0487), (16699, 0.09320769230769231)]\n\n\ndef plot():\n    from matplotlib import pyplot as plt\n\n    normal_data, chi2_data = normal_data_mqtt, chi2_data_mqtt\n    normal_x = [p[0] // 1000 for p in normal_data]\n    normal_y = [p[1] for p in normal_data]\n\n    chi2_x = [p[0] // 1000 for p in chi2_data]\n    chi2_y = [p[1] for p in chi2_data]\n\n    plt.figure()\n    plt.scatter(normal_x, normal_y, label='Hoeffding')\n    plt.scatter(chi2_x, chi2_y, label='Chi2')\n\n    plt.title('Bluetooth')\n    plt.xlabel('Number of Queries (in thousands)')\n    plt.ylabel('Average Error')\n    plt.legend()\n    plt.grid()\n\n    #plt.show()\n    import tikzplotlib\n    tikzplotlib.save('bluetooth_strategy_comp.tex')\n\n\ndef plot_side_by_side():\n    from matplotlib import pyplot as plt\n\n    fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(10, 3))\n\n    normal_x = [p[0] // 1000 for p in normal_data_mqtt]\n    normal_y = [p[1] for p in normal_data_mqtt]\n\n    chi2_x = [p[0] // 1000 for p in chi2_data_mqtt]\n    chi2_y = [p[1] for p in chi2_data_mqtt]\n\n    axes[0].scatter(normal_x, normal_y, label='Hoeffding')\n    axes[0].scatter(chi2_x, chi2_y, label='Chi2')\n\n    normal_x = [p[0] // 1000 for p in normal_data_bt]\n    normal_y = [p[1] for p in normal_data_bt]\n\n    chi2_x = [p[0] // 1000 for p in chi2_data_bt]\n    chi2_y = [p[1] for p in chi2_data_bt]\n\n    axes[1].scatter(normal_x, normal_y, label='Hoeffding')\n    axes[1].scatter(chi2_x, chi2_y, label='Chi2')\n\n    axes[0].set_title('MQTT')\n    axes[1].set_title('Bluetooth')\n\n    axes[0].set_xlabel('Number of Queries (in thousands)')\n    axes[0].set_ylabel('Average Error')\n    axes[0].legend()\n\n    axes[1].set_xlabel('Number of Queries (in thousands)')\n    # axes[1].set_ylabel('Average Error')\n    axes[1].legend()\n\n    axes[0].grid()\n    axes[1].grid()\n\n    fig.tight_layout()\n\n    plt.show()\n    import tikzplotlib\n    # tikzplotlib.save('strategy_comp_side_by_side.tex')\n\n\nplot_side_by_side()\n"
  },
  {
    "path": "Benchmarking/stochastic_benchmarking/unamb_error_plot.py",
    "content": "# max_err\n# acv_err\n# unamb\nimport matplotlib.pyplot as plt\nimport matplotlib\n\nmqtt_max_err_1 = [100, 100, 100, 100, 100, 100, 100, 12.25, 7.92, 3.87, 3.99, 6.0, 4.52, 2.99, 3.87, 4.29, 4.7, 4.26,\n                  4.62, 6.41, 4.23, 3.38, 2.79, 2.2, 2.94, 3.04, 2.28, 2.11, 2.2, 2.45, 2.35, 2.12, 2.66, 2.27, 2.23,\n                  2.21, 1.94, 1.82, 1.61, 1.45, 1.41, 1.83, 1.43, 1.42, 1.44, 1.41, 1.37, 1.31, 1.33, 1.3, 1.29, 1.27,\n                  1.47, 1.78, 1.37, 1.28, 1.94, 1.64, 3.48, 3.11, 4.37, 3.93, 3.81, 4.28, 3.99, 4.25, 4.75, 5.14, 5.03,\n                  4.72, 4.74, 4.42, 4.07, 3.72, 3.55, 3.21, 2.99, 2.84, 2.53, 2.75, 2.62, 2.26, 1.78, 1.9, 2.01, 2.09,\n                  2.33, 2.63, 2.75, 2.53, 2.15, 2.48, 3.36, 3.03, 2.87, 3.02, 3.0, 3.04, 2.79, 2.84, 2.67, 3.11, 2.8,\n                  2.52, 2.28, 2.0, 1.81, 1.7, 1.48, 1.74, 1.55, 1.64, 1.46, 1.23, 1.08, 1.26, 1.47, 1.65, 1.56, 1.76,\n                  1.91, 1.97, 2.01, 1.94, 1.7, 1.65, 1.4, 1.15, 1.35, 1.29, 1.49, 1.76, 1.61, 1.66, 1.72, 1.9, 2.14,\n                  1.96, 1.65, 1.56, 1.92, 1.77, 1.66, 1.37, 1.44, 1.41, 1.58, 1.33, 1.18, 1.28, 1.38, 1.17, 1.14, 1.25,\n                  1.4, 1.22, 1.08, 1.09, 1.34, 1.2, 1.09, 1.19, 1.06, 1.07, 1.07, 1.06, 1.06, 1.06, 1.05, 1.05, 1.05,\n                  1.05, 1.05, 1.04, 1.03, 1.02, 1.03, 1.03, 1.05, 1.04, 1.04, 1.04, 1.05, 1.05, 1.06, 1.06, 1.07, 1.07,\n                  1.07, 1.08, 1.07, 1.08, 1.07, 1.06, 1.06, 1.06, 1.06, 1.05, 1.05, 1.03, 1.03, 1.02, 1.14, 1.16, 1.36,\n                  1.18, 1.26, 1.16, 1.35, 1.52, 1.41, 1.46, 1.4, 1.47, 1.59, 1.65, 1.73, 1.8, 1.72, 1.66, 1.65, 1.75,\n                  1.69, 1.72, 1.56, 1.6, 1.7, 1.62, 1.62, 1.61, 1.65, 1.86, 2.01, 1.93, 2.16, 2.11, 2.03, 1.93, 1.85,\n                  1.78, 1.66, 1.67, 1.64, 1.76, 1.77, 1.67, 1.55, 1.59, 1.51, 1.46]\nmqtt_avr_err_1 = [100, 100, 100, 100, 100, 100, 100, 9.232, 4.548, 2.572, 2.592, 3.512, 2.89, 2.27, 2.606, 2.616, 2.754,\n                  2.502, 2.6879999999999997, 3.42, 2.404, 2.148, 1.97, 1.672, 2.074, 2.084, 1.724, 1.472, 1.2, 1.066,\n                  1.292, 1.348, 1.596, 1.506, 1.408, 0.91, 1.1219999999999999, 1.178, 1.276, 0.994, 0.918,\n                  1.3519999999999999, 1.158, 1.068, 0.946, 0.708, 0.644, 0.56, 0.586, 0.562, 0.582, 0.764, 1.084, 1.242,\n                  1.08, 1.056, 1.322, 1.184, 1.998, 1.8299999999999998, 2.394, 2.212, 2.112, 2.338, 2.206, 2.322,\n                  2.4859999999999998, 2.634, 2.56, 2.4419999999999997, 2.412, 2.306, 2.166, 2.04, 1.936, 1.754, 1.658,\n                  1.574, 1.428, 1.522, 1.476, 1.3559999999999999, 1.158, 1.19, 1.242, 1.294, 1.376, 1.474, 1.528, 1.432,\n                  1.268, 1.3960000000000001, 1.786, 1.656, 1.616, 1.654, 1.6380000000000001, 1.64, 1.538, 1.556, 1.482,\n                  1.682, 1.534, 1.4220000000000002, 1.318, 1.184, 1.104, 1.064, 0.98, 1.084, 0.994, 1.028,\n                  0.9460000000000001, 0.822, 0.704, 0.832, 0.9440000000000001, 1.026, 0.99, 1.068, 1.134, 1.17, 1.182,\n                  1.144, 1.03, 1.014, 0.912, 0.786, 0.872, 0.848, 0.942, 1.066, 0.992, 1.016, 1.048, 1.1280000000000001,\n                  1.238, 1.164, 1.022, 0.984, 1.146, 1.098, 1.064, 0.934, 0.96, 0.954, 1.026, 0.906, 0.854, 0.928,\n                  0.982, 0.896, 0.882, 0.9359999999999999, 1.008, 0.926, 0.8360000000000001, 0.866, 0.992, 0.922, 0.872,\n                  0.9179999999999999, 0.8460000000000001, 0.796, 0.812, 0.868, 0.852, 0.734, 0.744, 0.702, 0.668, 0.654,\n                  0.762, 0.654, 0.5780000000000001, 0.56, 0.558, 0.526, 0.47800000000000004, 0.462, 0.64, 0.612,\n                  0.5640000000000001, 0.5720000000000001, 0.63, 0.624, 0.588, 0.716, 0.736, 0.6940000000000001, 0.602,\n                  0.578, 0.542, 0.528, 0.554, 0.476, 0.542, 0.704, 0.722, 0.744, 0.728, 0.806, 0.87, 0.868, 0.958,\n                  0.876, 0.918, 0.884, 0.97, 1.052, 1.0, 1.038, 1.016, 1.042, 1.094, 1.116, 1.168, 1.214, 1.19, 1.172,\n                  1.188, 1.224, 1.206, 1.214, 1.1340000000000001, 1.1660000000000001, 1.196, 1.172, 1.178, 1.174, 1.186,\n                  1.276, 1.3459999999999999, 1.318, 1.422, 1.4, 1.3699999999999999, 1.324, 1.296, 1.268, 1.216, 1.226,\n                  1.222, 1.274, 1.274, 1.204, 1.1540000000000001, 1.1640000000000001, 1.1280000000000001,\n                  1.1059999999999999]\nmqtt_unamb_1 = [83.33, 68.57, 70.21, 72.06, 73.42, 77.42, 85.22, 86.86, 90.74, 95.11, 97.28, 97.28, 97.28, 97.96, 99.46,\n                78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57,\n                78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 79.08, 79.08, 79.08, 79.08, 79.08, 79.08, 79.08, 79.08, 79.08,\n                79.08, 79.08, 79.08, 79.08, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 79.59, 79.59,\n                79.59, 79.08, 78.57, 78.57, 79.59, 79.59, 79.59, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61,\n                80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61,\n                80.61, 80.61, 81.12, 81.12, 81.12, 81.12, 81.12, 80.61, 80.61, 81.12, 81.63, 81.63, 81.63, 81.63, 81.63,\n                81.12, 81.12, 80.61, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12,\n                81.12, 81.12, 81.12, 81.12, 81.12, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.1, 80.1, 80.1,\n                80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.61, 80.1, 81.12, 81.12, 81.12, 81.63, 81.63, 81.63, 81.63,\n                81.63, 81.63, 82.14, 81.63, 81.63, 81.63, 81.63, 81.63, 81.63, 81.63, 81.63, 81.63, 81.63, 81.63, 81.12,\n                81.12, 81.12, 82.14, 82.14, 82.14, 82.65, 82.65, 82.65, 82.65, 82.65, 82.65, 82.65, 82.65, 82.65, 82.65,\n                82.65, 82.65, 82.65, 82.65, 82.65, 82.65, 82.65, 83.16, 83.16, 83.16, 83.16, 83.16, 83.16, 82.65, 83.16,\n                83.16, 83.16, 83.16, 83.16, 83.16, 83.16, 83.16, 83.16, 83.16, 83.67, 83.67, 83.67, 83.67, 83.67, 83.67,\n                83.67, 83.67, 83.67, 83.67, 83.16, 83.16, 83.16, 83.67, 83.67, 83.67, 83.67, 83.67, 83.67, 83.67, 83.16,\n                83.16, 83.67, 83.67, 83.67, 84.18, 84.18, 84.18, 84.18, 84.18, 84.69, 84.18, 84.18, 83.67, 84.69, 84.69,\n                85.2, 85.71, 85.71, 85.71, 85.71, 85.71, 85.71, 85.71, 85.71]\n\nmqtt_max_err_2 = [100, 100, 100, 100, 100, 100, 100, 9.76, 1.89, 28.08, 6.22, 3.56, 3.26, 3.51, 3.12, 2.79, 2.93, 2.61,\n                  2.06, 2.14, 2.17, 2.06, 2.49, 2.2, 2.46, 2.37, 2.61, 2.67, 2.61, 2.67, 2.79, 2.84, 2.8, 2.92, 3.02,\n                  3.01, 2.97, 3.26, 3.21, 3.04, 2.57, 3.15, 2.49, 2.66, 3.59, 3.66, 3.15, 3.55, 3.46, 3.52, 3.72, 3.42,\n                  3.61, 3.14, 3.63, 3.51, 3.32, 2.92, 3.46, 3.61, 3.45, 3.54, 4.12, 4.81, 4.81, 4.53, 4.76, 4.41, 4.79,\n                  5.14, 5.08, 5.31, 4.86, 4.66, 4.08, 4.29, 4.81, 4.43, 4.77, 4.58, 4.58, 4.77, 4.52, 4.36, 4.2, 4.45,\n                  4.29, 4.23, 4.38, 4.57, 4.38, 4.34, 4.29, 4.05, 4.03, 3.83, 3.65, 3.43, 3.33, 3.78, 3.53, 3.55, 3.4,\n                  3.34, 3.06, 3.43, 3.61, 3.61, 3.89, 3.58, 3.4, 3.23, 2.84, 2.57, 2.79, 2.8, 2.9, 2.68, 2.98, 2.76,\n                  2.65, 2.4, 2.13, 2.38, 2.5, 2.53, 2.37, 2.47, 2.46, 2.23, 2.23, 2.35, 2.27, 2.1, 2.1, 1.86, 1.83,\n                  1.93, 2.07, 1.76, 1.9, 1.63, 1.65, 1.52, 1.53, 1.93, 1.82, 1.63, 1.77, 1.57, 1.56, 1.57, 1.56, 1.76,\n                  1.76, 2.02, 1.93, 1.92, 1.77, 1.96, 1.78, 1.72, 1.63, 1.4, 1.63, 1.49, 1.55, 1.64, 1.74, 1.5, 1.8,\n                  1.66, 1.87, 2.05, 2.03, 2.35, 2.29, 2.34, 2.16, 2.05, 1.93, 1.93, 1.83, 1.84, 1.94, 2.17, 2.32, 2.7,\n                  2.56, 2.45, 2.61, 2.63, 2.69, 2.73, 2.56, 2.56, 2.68, 2.53, 2.55, 2.66, 2.7, 2.56, 2.6, 2.68, 2.52,\n                  2.44, 2.34, 2.23, 2.38, 2.34, 2.8, 2.84, 2.7, 2.65, 2.67, 2.73, 2.73, 2.82, 2.79, 2.77, 2.84, 2.78,\n                  2.82, 2.9, 2.83, 2.82, 2.9, 2.81, 2.7, 2.7, 2.64, 2.57, 2.5, 2.58, 2.5, 2.61, 2.59, 2.71, 2.72, 2.67,\n                  2.64, 2.76, 2.77, 2.75, 2.72, 2.74, 2.68, 2.6, 2.53, 2.49]\nmqtt_avr_err_2 = [100, 100, 100, 100, 100, 100, 100, 6.438, 0.984, 9.953999999999999, 3.312, 2.216, 1.238, 1.426, 1.19,\n                  1.204, 1.62, 1.6139999999999999, 1.214, 1.252, 1.03, 0.9480000000000001, 1.4320000000000002, 1.368,\n                  1.228, 1.086, 0.95, 1.1159999999999999, 1.028, 1.31, 1.236, 1.5899999999999999, 1.1139999999999999,\n                  1.25, 1.354, 1.462, 1.9100000000000001, 2.152, 2.002, 1.8900000000000001, 1.97, 2.2439999999999998,\n                  1.976, 2.048, 2.452, 2.536, 2.332, 2.454, 2.452, 2.5060000000000002, 2.552, 2.366, 2.294, 2.24, 2.436,\n                  2.46, 2.316, 2.064, 2.32, 2.422, 2.328, 2.314, 2.548, 2.846, 2.856, 2.7439999999999998, 2.854, 2.634,\n                  2.736, 2.868, 2.8779999999999997, 2.952, 2.726, 2.64, 2.38, 2.474, 2.686, 2.518, 2.638,\n                  2.5100000000000002, 2.518, 2.606, 2.4699999999999998, 2.37, 2.284, 2.426, 2.346, 2.3280000000000003,\n                  2.368, 2.45, 2.368, 2.36, 2.328, 2.252, 2.2520000000000002, 2.116, 2.082, 1.976, 1.97, 2.178, 2.038,\n                  2.054, 2.004, 1.966, 1.832, 2.002, 2.09, 2.096, 2.214, 2.072, 1.974, 1.882, 1.698, 1.542,\n                  1.6400000000000001, 1.652, 1.722, 1.6059999999999999, 1.746, 1.6159999999999999, 1.5899999999999999,\n                  1.466, 1.356, 1.446, 1.304, 1.3379999999999999, 1.262, 1.302, 1.322, 1.22, 1.224, 1.294, 1.416, 1.324,\n                  1.3439999999999999, 1.248, 1.22, 1.256, 1.3119999999999998, 1.182, 1.26, 1.1239999999999999, 1.128,\n                  1.084, 1.124, 1.316, 1.26, 1.17, 1.226, 1.102, 1.1, 1.11, 1.106, 1.19, 1.19, 1.31, 1.274, 1.272,\n                  1.214, 1.278, 1.198, 1.182, 1.128, 1.036, 1.154, 1.076, 1.104, 1.14, 1.18, 1.068, 1.188,\n                  1.1159999999999999, 1.216, 1.3179999999999998, 1.296, 1.438, 1.412, 1.42, 1.34, 1.286, 1.232, 1.228,\n                  0.996, 1.002, 1.054, 1.164, 1.24, 1.402, 1.342, 1.294, 1.3599999999999999, 1.3679999999999999, 1.39,\n                  1.416, 1.336, 1.332, 1.3840000000000001, 1.314, 1.3439999999999999, 1.398, 1.42, 1.368,\n                  1.3940000000000001, 1.426, 1.352, 1.316, 1.262, 1.22, 1.28, 1.264, 1.474, 1.5, 1.4460000000000002,\n                  1.426, 1.426, 1.452, 1.452, 1.5, 1.482, 1.482, 1.51, 1.478, 1.492, 1.526, 1.494, 1.49, 1.518, 1.47,\n                  1.422, 1.424, 1.4020000000000001, 1.3659999999999999, 1.328, 1.364, 1.324, 1.3760000000000001, 1.368,\n                  1.416, 1.42, 1.396, 1.3840000000000001, 1.436, 1.44, 1.43, 1.4100000000000001, 1.4180000000000001,\n                  1.4000000000000001, 1.36, 1.3359999999999999, 1.316]\nmqtt_unamb_2 = [83.33, 79.41, 73.91, 74.14, 75.0, 78.49, 84.48, 89.13, 91.36, 95.65, 96.2, 98.37, 98.37, 99.46, 99.46,\n                99.46, 100.0, 100.0, 99.46, 78.06, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57,\n                78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 79.08, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57,\n                78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 79.08, 79.08,\n                79.59, 79.08, 79.59, 79.59, 79.59, 79.59, 79.59, 79.59, 79.59, 79.59, 79.59, 79.59, 79.59, 79.59, 79.59,\n                79.59, 79.59, 79.59, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 79.59, 80.1, 80.1, 80.1, 80.1,\n                80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1,\n                80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.61, 80.61, 80.61, 80.61, 80.61, 81.12,\n                81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 80.61, 80.61, 80.61, 80.61, 80.1, 80.1, 80.1, 80.1,\n                80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.61, 81.12, 81.12, 81.12,\n                81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12,\n                81.12, 81.12, 81.12, 81.12, 82.14, 82.14, 82.14, 82.14, 81.63, 81.63, 81.63, 82.14, 82.14, 82.14, 82.14,\n                82.14, 82.65, 82.14, 82.14, 82.14, 82.14, 82.14, 82.14, 82.14, 82.14, 82.65, 82.65, 82.65, 82.14, 82.14,\n                82.14, 82.14, 82.14, 81.63, 81.63, 81.63, 82.14, 82.14, 82.65, 82.65, 83.16, 83.16, 83.16, 83.16, 83.16,\n                83.16, 83.16, 83.16, 83.16, 82.65, 82.65, 82.65, 82.65, 83.16, 83.16, 83.16, 82.65, 82.65, 82.65, 82.65,\n                82.65, 82.65, 82.65, 82.65, 83.16, 83.16, 83.16, 83.16, 83.16, 83.16, 83.16, 83.16, 83.16, 83.16, 82.65,\n                82.65, 82.65, 82.65, 82.65, 82.65]\n\nsecond_grid_max_err_1 = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 97.43, 93.46, 85.46, 42.15,\n                         24.14, 22.72, 18.37, 17.29, 19.52, 19.32, 16.22, 16.41, 16.87, 16.86, 17.05, 17.1, 17.31, 17.2,\n                         0.74, 0.71, 0.77, 0.8, 0.63, 0.65, 0.71, 0.68, 0.75, 0.69, 0.78, 0.6, 0.64, 0.73, 0.72, 4.92,\n                         4.59, 4.53, 4.55, 4.47, 1.28, 1.46, 1.39, 1.57, 2.48, 2.47, 2.08, 2.1, 1.9, 1.14, 1.28, 0.89,\n                         0.94, 5.16, 5.21, 5.2, 5.16, 5.15, 5.48, 4.9, 4.84, 4.91, 5.14, 5.11, 5.15, 5.15, 5.1, 5.37,\n                         5.36, 5.31, 5.27, 5.32, 5.27, 5.21, 5.22, 5.17, 5.19, 5.15, 5.14, 5.11, 5.25, 5.2, 5.4, 5.39,\n                         5.34, 5.36, 5.29, 5.29, 5.28, 5.29, 0.47, 0.46, 0.46, 0.41, 0.41, 0.43, 0.38, 0.39, 0.42, 0.41,\n                         0.42, 0.46, 0.41, 0.4, 0.43, 0.53, 0.48, 0.51, 0.55, 0.52, 0.61, 0.45, 0.47, 0.47, 0.3, 0.26,\n                         0.31, 0.4, 0.33, 0.24, 0.27, 0.2, 0.27, 0.21, 0.28, 0.3, 0.36, 0.42, 0.34, 0.5, 0.65, 0.57,\n                         0.44, 0.62, 0.7, 0.69, 0.61, 0.49, 0.46, 0.55, 0.47, 0.4, 0.43, 0.49, 0.41, 0.41, 0.4, 0.43,\n                         0.35, 0.33, 0.39, 0.46, 0.48, 0.51, 0.57, 0.49, 0.61, 0.58, 0.6, 0.57, 0.48, 0.65, 0.54, 0.52,\n                         0.57, 0.62, 0.57, 0.75, 0.72, 0.65, 0.66, 0.6, 0.55, 0.52, 0.48, 0.49, 0.54, 0.52, 0.51, 0.55,\n                         0.4, 0.37, 0.38, 0.48, 0.65, 0.67, 0.64, 0.67, 0.64, 0.66, 0.78, 0.69, 0.64, 0.63, 0.55, 0.53,\n                         0.61, 0.59, 0.56, 0.56, 0.57, 0.58, 0.64, 0.57, 0.6, 0.7, 0.64, 0.5, 0.48, 0.41, 0.41, 0.47,\n                         0.45, 0.45, 0.42, 0.33, 0.36, 0.37, 0.4, 0.39, 0.35, 0.34, 0.36, 0.31, 0.34, 0.35, 0.32, 0.41,\n                         0.46, 0.4, 0.41, 0.43, 0.39, 0.34, 0.41, 0.48, 0.54, 0.43, 0.37]\nsecond_grid_avr_err_1 = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 66.4425, 58.0325,\n                         40.832499999999996, 20.5425, 10.545, 10.945, 10.030000000000001, 7.035, 10.91, 10.6475, 5.755,\n                         5.78, 6.0075, 5.4275, 5.455, 5.4350000000000005, 5.52, 5.6325, 0.5825, 0.5625, 0.495, 0.5225,\n                         0.505, 0.5, 0.5125, 0.47750000000000004, 0.51, 0.51, 0.4625, 0.355, 0.34500000000000003,\n                         0.4025, 0.4025, 1.765, 1.8175, 1.74, 1.6075, 1.6375, 0.84, 0.8825, 0.8674999999999999, 0.895,\n                         1.19, 1.165, 1.0050000000000001, 1.02, 0.9375, 0.6375, 0.7050000000000001, 0.5125, 0.53, 1.8,\n                         1.7575, 1.6975, 1.625, 1.7125000000000001, 1.7950000000000002, 1.705, 1.665, 1.53, 1.5725,\n                         1.5550000000000002, 1.51, 1.52, 1.4849999999999999, 1.47, 1.435, 1.4224999999999999, 1.4175,\n                         1.4075, 1.3975, 1.41, 1.3975, 1.365, 1.4025, 1.3900000000000001, 1.3824999999999998, 1.35,\n                         1.46, 1.4200000000000002, 1.4975, 1.4874999999999998, 1.4575, 1.4575, 1.4425000000000001,\n                         1.4575, 1.4375, 1.485, 0.3075, 0.3325, 0.33, 0.2475, 0.265, 0.31, 0.2325, 0.2625, 0.27, 0.24,\n                         0.2625, 0.315, 0.22, 0.2225, 0.3075, 0.355, 0.3175, 0.325, 0.3325, 0.315, 0.335, 0.2625,\n                         0.2675, 0.2675, 0.19, 0.1675, 0.185, 0.21000000000000002, 0.195, 0.16999999999999998, 0.175,\n                         0.1575, 0.17, 0.165, 0.17, 0.18, 0.19, 0.1925, 0.17250000000000001, 0.24, 0.335, 0.3125,\n                         0.23500000000000001, 0.3075, 0.3325, 0.33999999999999997, 0.28, 0.24, 0.20500000000000002,\n                         0.24000000000000002, 0.2025, 0.1875, 0.185, 0.1875, 0.16749999999999998, 0.1825, 0.1875,\n                         0.1925, 0.1825, 0.185, 0.20750000000000002, 0.2275, 0.235, 0.255, 0.27999999999999997, 0.2575,\n                         0.3275, 0.295, 0.3075, 0.3025, 0.26, 0.3525, 0.29000000000000004, 0.2775, 0.2975, 0.315,\n                         0.26999999999999996, 0.35250000000000004, 0.33749999999999997, 0.28750000000000003,\n                         0.28500000000000003, 0.265, 0.24500000000000002, 0.2275, 0.21, 0.2175, 0.2275, 0.2325,\n                         0.23500000000000001, 0.24250000000000002, 0.21500000000000002, 0.2075, 0.1975, 0.21, 0.2975,\n                         0.315, 0.3075, 0.315, 0.3075, 0.3275, 0.3775, 0.33249999999999996, 0.3275, 0.315,\n                         0.28500000000000003, 0.275, 0.3125, 0.2975, 0.2725, 0.2725, 0.285, 0.27249999999999996, 0.325,\n                         0.2925, 0.3075, 0.3475, 0.32, 0.255, 0.245, 0.215, 0.2225, 0.22999999999999998, 0.2225, 0.2225,\n                         0.21, 0.1925, 0.185, 0.195, 0.22, 0.2075, 0.1825, 0.1875, 0.1925, 0.175, 0.185, 0.1825, 0.175,\n                         0.195, 0.20750000000000002, 0.185, 0.1975, 0.21, 0.195, 0.17750000000000002,\n                         0.19499999999999998, 0.2225, 0.24000000000000002, 0.20249999999999999, 0.195]\nsecond_grid_unamb_1 = [60.0, 77.78, 71.05, 76.36, 73.61, 79.07, 70.43, 66.67, 74.12, 66.85, 71.2, 71.01, 71.75, 70.28,\n                       67.55, 70.8, 73.08, 72.88, 74.51, 76.22, 76.43, 78.83, 79.8, 79.94, 80.78, 81.43, 82.74, 82.74,\n                       83.06, 84.04, 84.08, 85.02, 85.03, 85.34, 85.99, 85.67, 85.67, 86.32, 84.08, 84.39, 88.85, 87.95,\n                       85.67, 85.67, 85.67, 86.62, 86.94, 86.94, 87.26, 87.26, 87.58, 87.9, 87.9, 88.22, 88.54, 88.54,\n                       88.54, 88.85, 88.85, 88.85, 88.85, 88.85, 88.85, 89.17, 89.49, 89.49, 89.49, 89.49, 89.81, 90.13,\n                       90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.13, 88.51, 90.45,\n                       90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.76, 90.76, 90.45, 91.28, 91.08,\n                       91.08, 91.08, 91.08, 91.08, 90.76, 91.08, 91.08, 91.08, 91.08, 91.4, 91.4, 91.4, 91.4, 91.4,\n                       91.4, 91.4, 91.4, 91.4, 91.08, 91.08, 91.08, 91.08, 91.4, 91.4, 91.72, 91.72, 91.72, 91.72,\n                       91.72, 91.72, 92.04, 92.04, 92.36, 92.04, 92.04, 92.04, 92.36, 92.04, 92.04, 92.04, 92.04, 92.68,\n                       92.68, 92.36, 92.68, 92.68, 92.68, 92.68, 92.68, 92.68, 92.68, 92.68, 92.68, 92.68, 92.36, 90.74,\n                       92.68, 92.99, 92.99, 92.99, 92.99, 92.99, 92.68, 92.99, 93.31, 93.31, 93.31, 93.31, 92.99, 92.99,\n                       92.99, 92.99, 92.68, 92.99, 92.68, 92.68, 91.36, 92.68, 92.68, 92.68, 92.68, 92.68, 92.68, 92.68,\n                       92.36, 92.36, 92.68, 92.99, 92.68, 92.99, 92.99, 92.99, 92.99, 92.99, 92.99, 93.31, 92.99, 93.31,\n                       93.31, 93.31, 93.31, 92.99, 93.31, 93.31, 93.31, 93.63, 93.63, 93.63, 93.31, 93.63, 93.95, 93.95,\n                       93.95, 94.27, 94.27, 94.27, 93.95, 94.27, 94.27, 94.59, 94.59, 94.59, 94.59, 94.59, 94.59, 94.59,\n                       94.27, 94.27, 94.27, 94.27, 94.27, 94.59, 94.59, 94.59, 94.59, 94.59, 94.9, 94.59, 94.59, 94.59,\n                       94.59, 94.59, 94.59, 94.59, 94.59, 94.59, 94.9, 94.9, 94.9, 94.9, 94.9, 94.9]\n\nsecond_grid_max_err_2 = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 93.98, 97.43, 97.43,\n                         95.88, 96.56, 92.01, 92.67, 91.36, 80.52, 76.18, 48.4, 46.6, 51.42, 6.01, 5.78, 5.81, 5.72,\n                         5.5, 2.22, 2.32, 3.3, 1.98, 1.94, 1.51, 1.53, 1.55, 1.29, 1.12, 1.2, 1.89, 2.48, 2.34, 2.43,\n                         4.38, 4.48, 1.67, 1.65, 1.57, 1.6, 1.48, 1.62, 1.7, 1.46, 1.57, 1.52, 1.33, 1.5, 1.57, 1.31,\n                         1.29, 1.41, 1.35, 1.37, 1.23, 1.21, 1.26, 1.16, 1.12, 1.11, 1.35, 1.37, 1.34, 1.59, 1.74, 1.55,\n                         1.07, 1.05, 1.09, 0.98, 1.25, 0.94, 1.06, 0.96, 0.92, 1.09, 1.14, 1.24, 1.2, 1.32, 1.31, 1.29,\n                         1.18, 1.1, 1.05, 1.18, 1.15, 0.99, 1.17, 1.23, 1.26, 1.27, 1.21, 1.31, 1.24, 1.16, 1.15, 1.17,\n                         1.2, 1.21, 1.16, 1.14, 1.13, 1.12, 1.09, 1.02, 1.01, 0.88, 0.92, 0.9, 0.91, 0.97, 0.98, 0.97,\n                         0.97, 0.99, 1.0, 1.04, 1.0, 1.02, 1.02, 0.91, 0.89, 0.92, 0.96, 1.01, 0.95, 0.98, 0.97, 1.04,\n                         1.08, 1.08, 1.09, 1.12, 1.21, 1.1, 1.09, 1.11, 1.14, 1.14, 1.19, 1.23, 1.19, 1.19, 1.24, 1.27,\n                         1.28, 1.26, 1.26, 1.2, 1.2, 1.17, 1.25, 1.29, 1.25, 1.21, 1.19, 1.14, 1.18, 1.93, 2.21, 2.13,\n                         2.18, 1.97, 1.97, 1.93, 1.9, 1.95, 1.91, 1.91, 1.88, 1.77, 1.77, 1.75, 1.77, 1.78, 1.8, 1.69,\n                         1.62, 1.73, 1.8, 1.81, 1.7, 1.71, 1.64, 1.63, 1.61, 1.5, 1.52, 1.37, 1.31, 1.16, 1.24, 1.2,\n                         1.23, 1.23, 1.13, 1.18, 1.13, 1.08, 1.11, 1.12, 1.14, 1.11, 1.05, 1.06, 1.06, 1.05, 1.0, 1.0,\n                         0.96, 0.79, 0.81, 0.76, 0.81, 0.93, 0.89, 0.83, 0.9, 0.77, 0.78, 0.81, 0.78, 0.84, 0.79, 0.79,\n                         0.82, 0.86, 0.83, 0.79, 0.85, 0.96, 1.06, 1.02, 1.03, 1.07]\nsecond_grid_avr_err_2 = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 62.2975, 60.6325,\n                         62.205000000000005, 59.2925, 60.722500000000004, 45.675, 45.425, 37.335, 27.685, 22.1, 15.67,\n                         15.345, 15.9075, 3.045, 2.7525, 2.7849999999999997, 2.1999999999999997, 2.06,\n                         1.1400000000000001, 1.355, 1.4024999999999999, 1.0825, 1.0025, 0.765, 0.7825, 0.765, 0.74,\n                         0.835, 0.9025, 0.9975, 1.0875, 1.0725, 1.115, 1.9275, 1.9400000000000002, 1.0425, 1.03, 1.0025,\n                         1.0125, 0.9924999999999999, 0.9175, 0.9149999999999999, 0.8925, 0.87, 0.875, 0.8925, 0.855,\n                         0.8625, 0.875, 0.9, 0.9099999999999999, 0.9375, 0.93, 0.9175, 0.91, 0.8674999999999999, 0.85,\n                         0.8700000000000001, 0.8350000000000001, 0.855, 0.8525, 0.8475, 0.8675, 0.845, 0.81, 0.8025,\n                         0.8075, 0.7775000000000001, 0.77, 0.7525000000000001, 0.775, 0.775, 0.7175, 0.7175, 0.675, 0.7,\n                         0.7375, 0.7275, 0.78, 0.7775, 0.735, 0.7425, 0.72, 0.6525, 0.65, 0.6749999999999999, 0.665,\n                         0.705, 0.6849999999999999, 0.645, 0.625, 0.6175, 0.6325, 0.6275000000000001, 0.655, 0.6725,\n                         0.64, 0.625, 0.6125, 0.595, 0.6, 0.6074999999999999, 0.605, 0.6375000000000001, 0.6, 0.5925,\n                         0.6, 0.6224999999999999, 0.6074999999999999, 0.6275, 0.6475, 0.6575, 0.66, 0.67, 0.645, 0.635,\n                         0.6375, 0.64, 0.64, 0.6425, 0.6575, 0.6799999999999999, 0.6575, 0.6699999999999999, 0.6825,\n                         0.7050000000000001, 0.7025, 0.6925, 0.715, 0.73, 0.725, 0.7325, 0.7275, 0.7374999999999999,\n                         0.7175, 0.7275, 0.7175, 0.7374999999999999, 0.7374999999999999, 0.74, 0.7525, 0.7825, 0.7725,\n                         0.7875, 0.7825, 0.77, 0.775, 0.77, 0.7725, 0.78, 0.77, 0.7675, 0.7925, 0.8, 0.785, 0.78,\n                         0.7775, 0.77, 1.2425, 1.3775, 1.3575, 1.3575, 1.265, 1.2874999999999999, 1.2725, 1.2625,\n                         1.3125, 1.29, 1.2974999999999999, 1.2775, 1.19, 1.1875, 1.1775, 1.205, 1.215, 1.215, 1.1475,\n                         1.0775000000000001, 1.1475, 1.19, 1.205, 1.1125, 1.125, 1.0625, 1.0374999999999999, 1.03,\n                         0.9425, 0.9700000000000001, 0.855, 0.8075, 0.71, 0.78, 0.75, 0.7725, 0.7675, 0.72,\n                         0.7324999999999999, 0.695, 0.6725, 0.7000000000000001, 0.7025, 0.7175, 0.6900000000000001,\n                         0.6625, 0.6625, 0.6575, 0.6475, 0.6025, 0.6, 0.58, 0.46, 0.485, 0.44, 0.48, 0.5875, 0.5575,\n                         0.5, 0.55, 0.455, 0.4625, 0.485, 0.46, 0.51, 0.4625, 0.475, 0.4875, 0.5, 0.47, 0.4325, 0.4775,\n                         0.56, 0.625, 0.595, 0.5875, 0.625]\nsecond_grid_unamb_2 = [60.0, 72.22, 78.95, 80.0, 70.0, 74.12, 72.0, 67.74, 68.42, 69.18, 61.85, 66.14, 66.34, 66.2,\n                       65.49, 63.9, 67.77, 65.49, 62.83, 66.9, 66.43, 64.03, 65.29, 68.73, 70.57, 72.31, 72.64, 73.94,\n                       74.27, 74.92, 76.55, 77.52, 78.83, 79.8, 80.13, 80.78, 81.43, 81.43, 82.08, 82.28, 82.35, 83.71,\n                       83.71, 83.39, 80.25, 80.89, 81.21, 79.39, 83.12, 83.44, 83.76, 84.08, 84.08, 84.08, 84.08, 84.08,\n                       84.08, 83.76, 84.08, 84.08, 85.03, 85.03, 85.03, 84.71, 84.71, 85.35, 84.71, 84.08, 84.71, 84.71,\n                       85.03, 85.35, 85.67, 85.99, 86.62, 86.62, 86.62, 86.94, 86.94, 87.26, 87.26, 87.26, 87.26, 87.26,\n                       87.26, 87.26, 87.26, 87.58, 87.9, 87.9, 87.9, 87.9, 87.9, 87.9, 87.9, 88.22, 88.54, 88.22, 88.22,\n                       88.54, 88.54, 89.17, 89.17, 89.17, 89.17, 89.49, 89.17, 89.81, 90.13, 90.76, 90.76, 90.76, 90.76,\n                       90.76, 90.76, 90.76, 90.45, 90.97, 90.76, 90.76, 90.76, 90.76, 90.76, 90.76, 90.45, 90.45, 90.76,\n                       90.13, 90.13, 90.45, 90.45, 90.45, 90.45, 90.13, 90.45, 90.45, 90.45, 90.45, 90.76, 90.76, 90.76,\n                       90.76, 90.76, 90.45, 90.76, 90.45, 90.76, 91.08, 91.08, 91.08, 91.08, 91.08, 91.4, 91.4, 91.4,\n                       91.72, 91.72, 92.04, 92.04, 92.04, 92.04, 92.04, 92.04, 92.04, 92.04, 92.04, 92.04, 92.36, 92.36,\n                       92.99, 92.99, 92.99, 92.99, 92.99, 92.99, 92.99, 92.99, 93.31, 92.99, 93.31, 93.31, 93.63, 93.63,\n                       93.31, 93.31, 93.31, 93.31, 93.31, 93.31, 93.63, 93.95, 93.63, 93.95, 93.95, 93.95, 94.27, 94.27,\n                       94.27, 94.27, 94.27, 93.95, 93.95, 93.95, 93.95, 93.95, 94.27, 94.27, 94.27, 93.95, 93.95, 93.95,\n                       93.95, 93.95, 93.95, 93.95, 94.27, 93.95, 94.59, 94.27, 94.27, 94.27, 94.27, 93.95, 93.95, 93.63,\n                       93.95, 93.95, 93.95, 93.95, 93.95, 93.95, 93.95, 93.95, 94.59, 94.59, 94.27, 94.27, 94.59, 94.59,\n                       94.59, 94.9, 94.59, 94.59, 94.59, 94.59, 94.59, 94.59, 94.59, 94.59, 94.59]\n\nsecond_grid_max_err_3 = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,\n                         100, 90.41, 90.74, 90.48, 68.35, 37.94, 65.4, 27.09, 16.96, 17.02, 18.25, 18.23, 17.02, 29.13,\n                         29.3, 28.79, 28.39, 26.64, 26.0, 74.46, 74.61, 70.84, 71.09, 71.1, 71.65, 71.52, 71.42, 71.42,\n                         72.93, 72.56, 72.46, 84.49, 84.49, 84.59, 84.6, 84.69, 84.69, 4.43, 4.47, 4.45, 4.43, 4.33,\n                         4.37, 4.44, 4.76, 5.19, 5.14, 5.39, 5.61, 5.62, 5.49, 5.34, 5.33, 5.46, 5.47, 5.67, 5.54, 5.58,\n                         5.51, 5.44, 5.59, 5.42, 4.73, 4.66, 4.72, 4.69, 4.64, 4.79, 4.76, 5.11, 5.35, 5.82, 5.73, 5.55,\n                         5.57, 5.57, 5.66, 5.65, 6.26, 6.26, 6.33, 6.25, 6.2, 6.11, 6.11, 6.32, 6.15, 6.13, 6.12, 6.14,\n                         6.13, 6.18, 6.18, 5.83, 5.94, 5.94, 5.98, 6.0, 6.03, 6.02, 6.21, 6.15, 5.64, 5.61, 6.1, 6.1,\n                         6.06, 6.11, 6.26, 6.14, 6.07, 6.01, 5.92, 5.93, 5.95, 5.94, 5.83, 5.33, 5.21, 5.25, 5.15, 5.07,\n                         5.13, 5.21, 5.22, 5.25, 5.2, 5.25, 5.27, 5.24, 5.5, 5.49, 5.56, 5.04, 5.09, 4.63, 4.63, 4.59,\n                         4.6, 4.79, 4.73, 4.29, 4.33, 4.33, 4.55, 4.51, 4.51, 4.47, 4.91, 4.96, 5.02, 5.25, 5.25, 5.35,\n                         5.34, 5.36, 5.32, 5.37, 5.34, 5.42, 5.41, 5.4, 5.4, 5.76, 4.84, 4.81, 4.94, 4.94, 5.12, 5.06,\n                         5.01, 5.08, 5.12, 5.07, 5.26, 5.5, 5.5, 5.55, 5.36, 5.4, 5.42, 5.41, 5.0, 4.95, 4.96, 5.02,\n                         5.08, 5.04, 5.22, 5.23, 5.24, 5.47, 5.09, 5.02, 5.05, 5.04, 4.87, 5.16, 5.18, 5.2, 5.28, 5.26,\n                         5.26, 5.61, 5.65, 5.62, 5.6, 5.65, 5.66, 5.63, 5.27, 5.23, 5.28, 5.25, 5.23, 5.12, 2.27, 2.28,\n                         5.17, 5.21, 5.17, 2.32, 2.58, 5.44, 2.62, 2.64, 2.71, 2.66, 2.63, 2.64, 2.6]\nsecond_grid_avr_err_3 = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,\n                         100, 58.4325, 58.6325, 58.385000000000005, 28.154999999999998, 22.125, 25.87, 13.1875, 8.6725,\n                         8.215, 8.55, 9.5825, 10.004999999999999, 13.0275, 13.2925, 13.225, 13.1675, 12.93, 12.81,\n                         28.014999999999997, 28.015, 23.8675, 23.810000000000002, 23.81, 23.9025, 23.91, 23.9175,\n                         23.875, 24.26, 24.3075, 24.287499999999998, 25.6775, 25.645, 25.905, 25.9425, 26.115, 26.0975,\n                         1.6175, 1.755, 1.725, 1.7274999999999998, 1.6775, 1.67, 1.6775, 1.8125, 1.965,\n                         1.9324999999999999, 1.9974999999999998, 2.0575, 2.035, 1.9775, 1.9275, 2.0275, 2.18, 2.1375,\n                         2.1975, 2.13, 2.1475, 2.135, 2.0975, 2.2525, 2.185, 1.9075000000000002, 1.8525, 1.91, 1.8825,\n                         1.8575, 2.095, 2.05, 2.1575, 2.2475, 2.5975, 2.5375, 2.4625, 2.4675000000000002, 2.4425,\n                         2.4625, 2.5100000000000002, 2.7175, 2.7275, 2.835, 2.8175, 2.765, 2.725, 2.785, 2.845, 2.755,\n                         2.7425, 2.73, 2.7925, 2.77, 2.7575, 2.7475, 2.605, 2.7275, 2.7175000000000002, 2.73, 2.735,\n                         2.7225, 2.8, 2.8575, 2.8325, 2.6275, 2.5875, 2.7025, 2.6875, 2.655, 2.6425, 2.6875, 2.6375,\n                         2.5925000000000002, 2.53, 2.48, 2.4475, 2.45, 2.4475000000000002, 2.375, 2.1875, 2.105, 2.12,\n                         2.1475, 2.1, 2.1, 2.1075, 2.0925, 2.09, 2.075, 2.0925, 2.0974999999999997, 2.095, 2.2325,\n                         2.2225, 2.21, 2.015, 2.0225, 1.795, 1.7875, 1.765, 1.7574999999999998, 1.8225, 1.8, 1.615,\n                         1.725, 1.71, 1.8225, 1.7874999999999999, 1.7525, 1.7325, 1.8425, 1.8475, 1.9075, 1.975, 1.965,\n                         1.9725, 1.945, 1.945, 1.98, 1.97, 1.9575, 2.0425, 2.0225, 2.025, 2.025, 2.105, 1.7675, 1.75,\n                         1.7775, 1.7750000000000001, 1.8050000000000002, 1.78, 1.7625, 1.7850000000000001, 1.81, 1.8025,\n                         1.8775, 1.965, 1.9925, 1.97, 1.9175, 1.935, 1.9625, 1.9525000000000001, 1.805, 1.7875, 1.825,\n                         1.8074999999999999, 1.86, 1.805, 1.89, 1.8875000000000002, 1.875, 1.9575, 1.8175, 1.795,\n                         1.8599999999999999, 1.855, 1.7850000000000001, 1.87, 1.8624999999999998, 1.8625, 1.8775,\n                         1.8525, 1.8625, 2.0, 2.025, 2.0225, 2.0425, 2.0575, 2.0625, 2.0675, 1.9574999999999998, 1.9475,\n                         1.9725000000000001, 1.96, 1.9725000000000001, 1.9525000000000001, 1.0675000000000001, 1.1,\n                         2.0125, 2.0, 1.9925, 1.055, 1.1300000000000001, 2.035, 1.1525, 1.115, 1.165, 1.095, 1.1025,\n                         1.1125, 1.09]\nsecond_grid_unamb_3 = [60.0, 66.67, 70.27, 80.0, 79.03, 66.67, 65.71, 69.64, 65.0, 67.11, 66.29, 68.62, 67.01, 71.92,\n                       71.5, 67.86, 64.71, 64.9, 63.89, 65.64, 63.91, 68.42, 67.15, 65.87, 68.23, 66.67, 68.95, 70.92,\n                       73.62, 75.24, 75.9, 77.2, 77.2, 77.52, 77.52, 78.18, 78.5, 79.8, 80.13, 81.11, 81.76, 81.76,\n                       82.41, 83.06, 83.71, 84.36, 84.04, 83.39, 83.71, 84.04, 84.69, 85.02, 85.02, 85.02, 84.69, 85.34,\n                       85.34, 85.99, 85.99, 85.99, 85.99, 85.99, 86.32, 86.64, 86.97, 87.3, 87.3, 84.08, 84.39, 84.39,\n                       84.39, 84.08, 84.08, 84.08, 84.08, 84.08, 85.03, 85.03, 85.03, 85.35, 85.35, 85.35, 85.35, 85.99,\n                       85.99, 86.31, 86.62, 86.62, 86.62, 86.62, 86.62, 86.94, 86.94, 86.94, 86.94, 87.58, 87.58, 87.9,\n                       87.9, 87.9, 87.9, 87.9, 88.22, 88.22, 88.54, 88.54, 88.22, 88.54, 88.54, 88.85, 88.85, 88.85,\n                       89.17, 89.17, 89.49, 89.49, 89.49, 89.81, 89.81, 89.81, 89.81, 89.81, 89.81, 89.81, 89.81, 90.13,\n                       89.81, 89.81, 89.81, 89.81, 89.81, 89.81, 90.13, 90.13, 90.13, 90.13, 90.13, 90.13, 90.45, 90.45,\n                       90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.76, 90.76, 90.76, 90.76, 90.76, 90.76,\n                       91.08, 91.08, 91.08, 91.08, 91.08, 91.08, 91.08, 91.08, 91.08, 91.08, 91.08, 91.08, 91.08, 91.08,\n                       91.08, 90.76, 90.45, 88.54, 90.76, 91.08, 91.08, 91.08, 91.08, 91.08, 91.08, 91.08, 91.4, 91.4,\n                       91.4, 91.72, 91.72, 91.72, 91.72, 91.72, 91.72, 91.72, 91.72, 91.72, 91.4, 91.4, 91.4, 91.72,\n                       91.72, 91.72, 91.72, 91.4, 91.4, 91.4, 91.4, 91.4, 91.4, 91.4, 91.4, 91.4, 91.4, 91.4, 91.4,\n                       91.4, 91.72, 91.72, 91.72, 92.04, 91.72, 91.72, 91.72, 92.04, 92.04, 92.04, 92.04, 92.04, 92.04,\n                       92.04, 92.04, 92.04, 92.04, 92.04, 92.04, 92.04, 92.04, 92.04, 92.36, 92.68, 92.36, 92.36, 92.36,\n                       92.99, 92.68, 92.36, 92.99, 92.99, 93.31, 93.31, 93.31, 93.31, 93.31, 92.99]\n\nsecond_grid_max_err_mdp_1 = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,\n                             100, 100, 100, 100, 100, 100, 100, 97.43, 97.43, 90.84, 62.94, 62.91, 63.98, 66.71, 66.64,\n                             40.93, 43.14, 43.75, 22.0, 80.76, 83.9, 84.84, 84.59, 83.99, 84.62, 84.17, 85.44, 85.34,\n                             85.27, 79.08, 79.17, 43.98, 37.44, 6.73, 5.35, 3.82, 2.69, 2.36, 2.24, 50.86, 50.78, 57.36,\n                             2.49, 2.37, 2.35, 2.22, 1.99, 70.4, 70.51, 70.85, 1.45, 1.34, 1.49, 1.65, 1.47, 1.34, 1.31,\n                             1.22, 1.26, 1.44, 1.47, 1.48, 1.73, 1.83, 2.03, 1.6, 1.47, 1.71, 1.42, 1.21, 1.08, 1.64,\n                             1.37, 1.28, 2.32, 2.64, 2.47, 2.45, 2.23, 31.97, 32.27, 32.15, 33.57, 33.67, 84.09, 84.12,\n                             84.31, 84.35, 84.31, 84.3, 85.35, 85.36, 85.36, 85.36, 85.37, 85.37, 85.37, 85.37, 85.35,\n                             84.36, 84.38, 84.38, 84.38, 84.31, 84.31, 84.27, 0.93, 29.5, 29.61, 29.61, 28.77, 28.43,\n                             28.53, 28.35, 28.21, 1.36, 1.43, 1.44, 1.39, 6.22, 6.22, 6.19, 6.13, 6.02, 6.02, 5.93,\n                             5.89, 5.9, 5.88, 5.89, 5.94, 5.94, 5.91, 6.02, 5.98, 5.96, 5.88, 5.89, 5.82, 5.77, 5.77,\n                             5.77, 5.76, 5.76, 5.8, 5.76, 5.72, 5.74, 5.73, 5.71, 5.72, 5.7, 5.63, 5.68, 5.62, 5.56,\n                             5.53, 5.56, 5.55, 5.49, 5.5, 5.39, 5.28, 5.31, 5.28, 5.69, 5.71, 5.67, 5.65, 5.65, 5.54,\n                             5.44, 5.35, 5.31, 5.32, 5.27, 5.24, 5.2, 5.16, 5.48, 5.47, 5.51, 5.54, 5.49, 5.51, 5.47,\n                             5.49, 5.42, 5.37, 5.38, 5.35, 5.28, 5.26, 5.25, 5.23, 5.2, 5.24, 5.18, 5.19, 5.18, 5.16,\n                             5.14, 5.13, 5.08, 5.06, 5.04, 5.01, 5.0, 4.97, 4.96, 4.95, 5.24, 5.23, 5.18, 5.16, 5.09,\n                             5.06, 5.01, 5.04, 5.03, 5.05, 5.37, 5.35, 5.3, 5.28, 5.31, 5.33, 5.31, 5.27, 5.31, 5.66,\n                             5.66]\nsecond_grid_avr_err_mdp_1 = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,\n                             100, 100, 100, 100, 100, 100, 100, 63.3325, 65.7775, 54.9275, 23.9625, 25.217499999999998,\n                             32.199999999999996, 35.4375, 29.517500000000002, 23.5125, 21.87, 22.445, 12.545, 27.425,\n                             25.8425, 27.2275, 32.205, 29.0325, 32.825, 32.2825, 31.4275, 30.295, 30.2025, 27.37,\n                             27.4775, 14.165, 12.7975, 3.3625, 2.9425, 2.3525, 1.8025, 1.5325, 1.6675, 14.0725, 14.17,\n                             15.655, 2.065, 1.585, 1.57, 1.57, 1.175, 17.990000000000002, 18.1125, 18.07, 1.035, 0.9875,\n                             1.0325, 1.0975, 1.055, 0.92, 0.8624999999999999, 0.78, 0.89, 1.0175, 1.095, 1.12, 1.3775,\n                             1.3725, 1.56, 0.725, 0.6025, 0.6325, 0.6, 0.585, 0.5575, 0.6475, 0.5225000000000001,\n                             0.4975, 0.7525, 0.8575, 0.8350000000000001, 0.8475, 0.78, 8.219999999999999,\n                             8.315000000000001, 8.3325, 8.6425, 11.11, 24.5, 24.5975, 24.657500000000002, 24.7425,\n                             24.68, 24.6575, 25.325, 25.4125, 25.482499999999998, 25.5325, 25.565, 25.4475,\n                             25.477500000000003, 25.545, 25.32, 24.7625, 24.805, 24.862499999999997, 24.8475, 24.68,\n                             24.69, 24.732499999999998, 0.47000000000000003, 7.5975, 7.625, 7.6225, 7.415, 7.545,\n                             7.5600000000000005, 7.550000000000001, 7.49, 0.74, 0.73, 0.7175, 0.745, 2.205, 2.2375,\n                             2.27, 2.275, 2.2475, 2.2175, 2.255, 2.2375, 2.2375000000000003, 2.225, 2.205,\n                             2.1975000000000002, 2.1825, 2.255, 2.3625, 2.3475, 2.3475, 2.2875, 2.3175, 2.39, 2.36,\n                             2.3325, 2.295, 2.3375, 2.35, 2.3575, 2.36, 2.3125, 2.3425000000000002, 2.42, 2.3375, 2.33,\n                             2.27, 2.23, 2.1475, 2.1575, 2.1475, 2.17, 2.1174999999999997, 2.105, 2.1, 2.09, 2.1075,\n                             2.1350000000000002, 2.1125, 2.1325000000000003, 2.215, 2.1875, 2.26, 2.2725, 2.2125, 2.2,\n                             2.21, 2.1625, 2.155, 2.12, 2.08, 2.0925000000000002, 2.0775, 2.095, 2.15, 2.185,\n                             2.1774999999999998, 2.205, 2.21, 2.2125, 2.2675, 2.2, 2.18, 2.15, 2.13, 2.15, 2.1075,\n                             2.0875, 2.12, 2.14, 2.1175, 2.1075, 2.1525, 2.185, 2.1799999999999997, 2.1675, 2.19, 2.215,\n                             2.2475, 2.2475, 2.2225, 2.21, 2.1925, 2.1925, 2.185, 2.1975000000000002, 2.245,\n                             2.2975000000000003, 2.2625, 2.2825, 2.2975, 2.3375, 2.3024999999999998, 2.2575, 2.2775,\n                             2.3, 2.365, 2.38, 2.3674999999999997, 2.3875, 2.3449999999999998, 2.305, 2.3125,\n                             2.3049999999999997, 2.2475, 2.2875, 2.3225000000000002]\nsecond_grid_unamb_mdp_1 = [80.0, 74.29, 77.59, 82.28, 72.28, 73.83, 69.84, 72.54, 70.2, 75.62, 77.5, 79.04, 75.28,\n                           58.46, 62.56, 65.2, 71.81, 73.68, 75.95, 74.39, 73.18, 74.55, 68.44, 73.31, 74.78, 75.7,\n                           70.35, 68.13, 71.83, 72.03, 73.4, 73.22, 76.6, 75.23, 75.69, 76.59, 77.1, 76.51, 77.85,\n                           76.79, 71.01, 76.29, 79.57, 80.86, 80.0, 79.92, 81.42, 77.44, 78.46, 79.47, 80.28, 80.89,\n                           81.5, 82.11, 82.32, 82.52, 83.13, 83.54, 83.94, 84.96, 85.16, 85.57, 86.38, 86.99, 86.59,\n                           86.99, 86.99, 86.14, 86.55, 86.75, 87.15, 87.15, 88.15, 88.35, 88.35, 88.55, 88.76, 88.76,\n                           89.16, 89.36, 89.38, 89.78, 90.18, 90.38, 90.58, 90.58, 90.58, 90.58, 90.98, 91.38, 91.58,\n                           91.58, 89.88, 90.08, 90.28, 91.07, 91.07, 91.07, 91.27, 91.67, 91.67, 87.52, 87.52, 88.11,\n                           88.11, 88.11, 88.11, 88.3, 88.5, 88.5, 88.69, 88.69, 89.11, 89.3, 88.91, 88.91, 89.3, 89.3,\n                           89.3, 89.3, 89.3, 89.3, 89.3, 89.3, 89.3, 89.3, 89.69, 89.69, 90.08, 90.08, 90.08, 90.08,\n                           90.08, 90.08, 90.08, 90.08, 90.08, 90.08, 90.08, 90.27, 90.27, 90.66, 86.83, 87.02, 87.21,\n                           87.4, 87.6, 87.98, 88.17, 88.17, 87.98, 88.17, 88.17, 88.17, 88.36, 88.55, 88.55, 88.55,\n                           88.55, 88.55, 88.55, 88.74, 88.74, 88.55, 88.74, 88.74, 89.12, 89.12, 89.12, 89.5, 89.5,\n                           89.5, 89.31, 89.31, 89.31, 89.31, 89.31, 89.31, 89.31, 89.31, 89.31, 89.5, 89.5, 89.69,\n                           89.89, 89.69, 89.69, 89.69, 89.69, 89.69, 89.69, 89.69, 89.69, 89.89, 89.89, 89.89, 89.89,\n                           89.89, 89.89, 89.89, 89.89, 89.89, 92.37, 92.61, 92.61, 92.61, 92.61, 92.61, 92.61, 92.61,\n                           92.61, 92.61, 92.8, 92.8, 92.8, 92.8, 93.0, 93.0, 93.0, 93.0, 93.0, 93.0, 93.0, 93.0, 93.0,\n                           92.8, 92.94, 93.19, 93.19, 93.19, 93.19, 93.39, 93.39, 93.39, 93.39, 93.39, 93.39, 93.39,\n                           93.39, 93.39, 93.58, 93.39, 93.97, 93.97, 93.97, 93.97, 93.77, 93.77, 93.77, 93.77]\n\nsecond_grid_max_err_mdp_2 = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,\n                             100, 100, 100, 97.43, 97.43, 81.02, 82.12, 90.06, 87.85, 77.77, 55.47, 80.41, 71.61, 70.24,\n                             63.23, 63.43, 65.83, 64.43, 64.26, 61.59, 62.82, 62.9, 60.64, 59.49, 59.59, 59.61, 59.61,\n                             58.67, 57.58, 58.2, 5.67, 5.21, 5.06, 4.63, 4.91, 5.2, 4.66, 4.27, 4.42, 4.08, 4.32, 4.66,\n                             4.68, 4.53, 4.12, 4.6, 4.37, 4.31, 4.1, 3.87, 4.35, 4.54, 4.59, 4.75, 4.72, 3.31, 3.11,\n                             2.85, 2.76, 2.41, 2.24, 3.6, 3.51, 3.49, 3.6, 3.57, 3.57, 3.69, 3.74, 3.64, 3.58, 3.56,\n                             3.46, 3.4, 3.34, 3.3, 3.36, 3.19, 3.23, 3.21, 3.29, 3.21, 3.4, 3.42, 3.39, 3.33, 3.29,\n                             3.24, 3.88, 3.92, 4.06, 4.05, 4.08, 4.05, 4.04, 3.93, 4.08, 4.17, 4.29, 4.28, 4.3, 4.38,\n                             4.54, 4.59, 4.55, 4.66, 4.62, 4.78, 4.71, 4.73, 4.72, 4.8, 4.74, 4.81, 4.85, 4.96, 4.97,\n                             4.93, 4.89, 4.9, 4.9, 4.88, 4.77, 4.76, 4.83, 4.81, 4.77, 4.73, 4.66, 4.61, 4.58, 4.52,\n                             4.44, 4.35, 4.35, 4.38, 4.42, 4.3, 4.38, 4.32, 4.35, 4.37, 4.39, 4.44, 4.47, 4.32, 4.3,\n                             4.31, 4.31, 4.28, 5.13, 5.19, 5.23, 5.24, 5.23, 5.23, 5.23, 5.16, 5.16, 5.21, 5.32, 5.29,\n                             5.32, 5.47, 5.42, 5.4, 5.54, 5.59, 5.52, 1.74, 0.6, 0.59, 0.58, 0.59, 60.12, 60.62, 1.07,\n                             1.27, 0.58, 0.56, 0.76, 0.88, 0.76, 0.71, 0.94, 0.79, 0.67, 0.91, 0.98, 0.85, 0.76, 0.74,\n                             0.73, 0.67, 0.64, 0.7, 0.81, 0.9, 0.87, 0.97, 0.89, 1.0, 0.93, 0.96, 1.04, 1.15, 1.1, 1.09,\n                             1.11, 1.09, 1.07, 1.14, 1.13, 1.03, 0.96, 0.87, 0.85, 1.07, 1.01, 0.95, 0.9, 0.83, 1.02,\n                             0.87, 0.75, 0.7, 0.67, 1.53, 0.9, 0.83, 0.78, 0.97]\nsecond_grid_avr_err_mdp_2 = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,\n                             100, 100, 100, 61.695, 66.6725, 54.12, 39.347500000000004, 42.305, 37.8925, 26.1875,\n                             26.7275, 34.762499999999996, 34.05, 38.72, 36.715, 28.905, 23.6325, 22.150000000000002,\n                             22.365000000000002, 20.5425, 21.535, 21.265, 16.767500000000002, 16.5425, 16.575, 16.445,\n                             16.5625, 16.3325, 15.9725, 16.075, 2.985, 2.8025, 2.1599999999999997, 1.89,\n                             1.7650000000000001, 1.8125, 1.705, 1.3224999999999998, 1.3675, 1.185, 1.23, 1.3, 1.2925,\n                             1.615, 1.5875000000000001, 1.67, 1.55, 1.595, 1.4675, 1.6125, 2.215, 2.3375, 2.5225, 2.54,\n                             2.455, 1.7725, 1.825, 1.5775, 1.3775, 1.22, 1.1400000000000001, 1.5050000000000001, 1.42,\n                             1.4125, 1.505, 1.5, 1.52, 1.5625, 1.58, 1.4975, 1.3825, 1.36, 1.195, 1.0375, 1.085, 1.02,\n                             1.09, 1.155, 1.12, 1.2675, 1.2825, 1.28, 1.0725, 1.205, 1.2925, 1.28, 1.2675, 1.2925, 1.4,\n                             1.33, 1.3275, 1.3225, 1.3225, 1.325, 1.3125, 1.335, 1.5050000000000001, 1.47, 1.41, 1.385,\n                             1.3675, 1.4075, 1.51, 1.5425, 1.4825, 1.5975000000000001, 1.5350000000000001,\n                             1.6800000000000002, 1.575, 1.57, 1.5725, 1.5699999999999998, 1.53, 1.6024999999999998,\n                             1.6749999999999998, 1.705, 1.7275, 1.6624999999999999, 1.5775, 1.5750000000000002, 1.53,\n                             1.5, 1.4474999999999998, 1.4425, 1.4925, 1.505, 1.4725, 1.4300000000000002,\n                             1.3900000000000001, 1.36, 1.33, 1.2674999999999998, 1.26, 1.2374999999999998, 1.22, 1.23,\n                             1.24, 1.205, 1.2349999999999999, 1.2175, 1.2225, 1.2275, 1.2525, 1.2825000000000002, 1.29,\n                             1.25, 1.26, 1.315, 1.3375, 1.3425, 1.54, 1.5425, 1.5525, 1.5225, 1.5050000000000001,\n                             1.5075, 1.485, 1.46, 1.46, 1.4725, 1.49, 1.4875, 1.5150000000000001, 1.555, 1.53,\n                             1.5025000000000002, 1.5375, 1.57, 1.5299999999999998, 0.595, 0.305, 0.295, 0.285, 0.285,\n                             16.2025, 16.419999999999998, 0.435, 0.4775, 0.3575, 0.385, 0.505, 0.5075, 0.4775,\n                             0.46499999999999997, 0.57, 0.4925, 0.44000000000000006, 0.385, 0.3475, 0.325, 0.28, 0.285,\n                             0.345, 0.3425, 0.355, 0.365, 0.36, 0.3725, 0.3725, 0.355, 0.3, 0.3325, 0.3025, 0.31, 0.305,\n                             0.3075, 0.335, 0.3325, 0.36750000000000005, 0.35000000000000003, 0.3775, 0.43, 0.4225,\n                             0.405, 0.4125, 0.36, 0.4, 0.435, 0.355, 0.32, 0.2925, 0.295, 0.3575, 0.335, 0.275, 0.255,\n                             0.23500000000000001, 0.595, 0.3275, 0.385, 0.395, 0.445]\nsecond_grid_unamb_mdp_2 = [80.0, 71.43, 70.97, 73.75, 73.0, 66.67, 59.44, 64.24, 69.81, 67.43, 64.1, 64.84, 72.52,\n                           74.37, 72.84, 69.85, 68.44, 72.26, 70.99, 71.39, 72.36, 68.88, 74.67, 75.73, 75.82, 72.3,\n                           74.24, 77.39, 77.05, 73.17, 77.37, 78.85, 76.05, 77.05, 72.5, 79.61, 81.44, 82.24, 82.63,\n                           83.23, 83.03, 83.43, 83.63, 83.63, 83.83, 82.84, 84.22, 85.4, 85.8, 86.79, 87.57, 88.36,\n                           89.55, 89.55, 90.34, 90.34, 90.53, 90.53, 90.73, 90.93, 91.12, 91.12, 91.32, 91.32, 91.32,\n                           91.72, 91.72, 91.91, 92.31, 92.5, 92.31, 92.31, 92.5, 93.1, 93.1, 93.1, 93.49, 93.29, 92.25,\n                           93.69, 93.69, 93.89, 93.89, 93.89, 93.89, 93.89, 93.89, 94.08, 89.65, 89.65, 89.45, 91.35,\n                           93.58, 94.67, 94.67, 94.87, 94.87, 94.87, 94.87, 94.87, 94.87, 94.87, 94.87, 94.87, 94.87,\n                           95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 95.07,\n                           95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 94.87, 90.47, 90.47, 90.47,\n                           90.66, 90.66, 90.86, 90.86, 90.86, 90.86, 91.05, 91.05, 91.05, 91.25, 91.44, 91.25, 88.31,\n                           88.34, 90.25, 91.63, 91.83, 92.02, 92.02, 92.02, 92.02, 92.02, 92.02, 91.83, 90.63, 92.02,\n                           92.02, 92.02, 92.02, 92.02, 92.02, 92.02, 92.02, 92.02, 92.02, 92.02, 92.22, 92.41, 92.61,\n                           92.41, 91.73, 92.22, 91.01, 92.41, 92.8, 92.8, 92.8, 92.8, 92.8, 92.8, 93.0, 92.8, 92.8,\n                           93.0, 92.8, 92.8, 92.13, 93.19, 93.19, 93.0, 91.94, 89.6, 89.98, 90.17, 90.36, 90.36, 90.55,\n                           90.36, 90.36, 90.36, 91.68, 92.51, 90.55, 92.44, 93.28, 93.28, 93.47, 93.47, 93.28, 91.3,\n                           91.3, 92.63, 93.67, 93.67, 93.47, 93.67, 93.67, 93.67, 93.86, 93.67, 93.67, 93.86, 93.67,\n                           93.86, 93.86, 93.86, 93.86, 94.05, 93.86, 93.86, 93.86, 94.05, 94.05, 94.05, 94.05, 94.05,\n                           94.24, 94.24, 94.24, 94.24, 94.24, 94.24, 94.24, 94.05, 93.56, 94.43, 94.24, 94.43, 94.05]\n\ndef single_plot():\n    matplotlib.use(\"pgf\")\n    matplotlib.rcParams.update({\n        \"pgf.texsystem\": \"pdflatex\",\n        'font.family': 'serif',\n        'text.usetex': True,\n        'pgf.rcfonts': False,\n    })\n\n    r = list(range(len(second_grid_max_err_2)))\n    # plt.plot(r, second_grid_max_err_2, label = 'max_error_%')\n    # plt.plot(r, second_grid_avr_err_2, label = 'avr_error_%')\n    # plt.plot(r, second_grid_unamb_2, label='unamb_%')\n\n    plt.plot(r, mqtt_max_err_1, label='Maximum Error')\n    plt.plot(r, mqtt_avr_err_1, label='Average Error')\n    plt.plot(r, mqtt_unamb_1, label='Unambiguous Rows')\n\n\n    # second_grid_avr_err_2 looks nice\n    # plt.plot(r, [100 - r for r in second_grid_unamb_2], label='unamb_%')\n    plt.ylabel('Percentage')\n    plt.xlabel('Learning Round')\n    plt.title('MQTT')\n\n    plt.grid(axis='y')\n    plt.legend()\n    #plt.show()\n\n    plt.savefig(\"stoppingAndUnamb_mqtt.pgf\")\n\n    import tikzplotlib\n\n    tikzplotlib.save(\"stoppingAndUnamb_mqtt.tex\")\n\n\ndef side_by_side():\n\n    matplotlib.use(\"pgf\")\n    matplotlib.rcParams.update({\n        \"pgf.texsystem\": \"pdflatex\",\n        'font.family': 'serif',\n        'text.usetex': True,\n        'pgf.rcfonts': False,\n    })\n\n    r = list(range(len(second_grid_max_err_2)))\n    # plt.plot(r, second_grid_max_err_2, label = 'max_error_%')\n    # plt.plot(r, second_grid_avr_err_2, label = 'avr_error_%')\n    # plt.plot(r, second_grid_unamb_2, label='unamb_%')\n\n    fig, (plt1, plt2) = plt.subplots(1, 2, figsize=(10, 3))\n\n    plt1.plot_side_by_side()\n    plt1.plot_side_by_side()\n    plt1.plot_side_by_side()\n\n    # second_grid_avr_err_2 looks nice\n    # plt.plot(r, [100 - r for r in second_grid_unamb_2], label='unamb_%')\n    plt1.set_ylabel('Percentage')\n    plt1.set_xlabel('Learning Round')\n    plt1.set_title('72 State Gridworld')\n\n    plt1.grid(axis='y')\n    plt1.legend()\n\n    plt2.plot_side_by_side()\n    plt2.plot_side_by_side()\n    plt2.plot_side_by_side()\n\n    # second_grid_avr_err_2 looks nice\n    # plt.plot(r, [100 - r for r in second_grid_unamb_2], label='unamb_%')\n    plt2.set_ylabel('Percentage')\n    plt2.set_xlabel('Learning Round')\n    plt2.set_title('MQTT')\n\n    plt2.grid(axis='y')\n    plt2.legend()\n    # plt.show()\n    fig.tight_layout()\n\n    fig.savefig(\"stoppingAndUnamb2plots.pgf\")\n\n    import tikzplotlib\n\n    tikzplotlib.save(\"stoppingAndUnamb2plots.tex\")\n\nif __name__ == '__main__':\n    side_by_side()"
  },
  {
    "path": "Benchmarking/unamb_error_plot.py",
    "content": "# max_err\n# acv_err\n# unamb\nimport matplotlib.pyplot as plt\nimport matplotlib\n\nmqtt_max_err_1 = [100, 100, 100, 100, 100, 100, 100, 12.25, 7.92, 3.87, 3.99, 6.0, 4.52, 2.99, 3.87, 4.29, 4.7, 4.26,\n                  4.62, 6.41, 4.23, 3.38, 2.79, 2.2, 2.94, 3.04, 2.28, 2.11, 2.2, 2.45, 2.35, 2.12, 2.66, 2.27, 2.23,\n                  2.21, 1.94, 1.82, 1.61, 1.45, 1.41, 1.83, 1.43, 1.42, 1.44, 1.41, 1.37, 1.31, 1.33, 1.3, 1.29, 1.27,\n                  1.47, 1.78, 1.37, 1.28, 1.94, 1.64, 3.48, 3.11, 4.37, 3.93, 3.81, 4.28, 3.99, 4.25, 4.75, 5.14, 5.03,\n                  4.72, 4.74, 4.42, 4.07, 3.72, 3.55, 3.21, 2.99, 2.84, 2.53, 2.75, 2.62, 2.26, 1.78, 1.9, 2.01, 2.09,\n                  2.33, 2.63, 2.75, 2.53, 2.15, 2.48, 3.36, 3.03, 2.87, 3.02, 3.0, 3.04, 2.79, 2.84, 2.67, 3.11, 2.8,\n                  2.52, 2.28, 2.0, 1.81, 1.7, 1.48, 1.74, 1.55, 1.64, 1.46, 1.23, 1.08, 1.26, 1.47, 1.65, 1.56, 1.76,\n                  1.91, 1.97, 2.01, 1.94, 1.7, 1.65, 1.4, 1.15, 1.35, 1.29, 1.49, 1.76, 1.61, 1.66, 1.72, 1.9, 2.14,\n                  1.96, 1.65, 1.56, 1.92, 1.77, 1.66, 1.37, 1.44, 1.41, 1.58, 1.33, 1.18, 1.28, 1.38, 1.17, 1.14, 1.25,\n                  1.4, 1.22, 1.08, 1.09, 1.34, 1.2, 1.09, 1.19, 1.06, 1.07, 1.07, 1.06, 1.06, 1.06, 1.05, 1.05, 1.05,\n                  1.05, 1.05, 1.04, 1.03, 1.02, 1.03, 1.03, 1.05, 1.04, 1.04, 1.04, 1.05, 1.05, 1.06, 1.06, 1.07, 1.07,\n                  1.07, 1.08, 1.07, 1.08, 1.07, 1.06, 1.06, 1.06, 1.06, 1.05, 1.05, 1.03, 1.03, 1.02, 1.14, 1.16, 1.36,\n                  1.18, 1.26, 1.16, 1.35, 1.52, 1.41, 1.46, 1.4, 1.47, 1.59, 1.65, 1.73, 1.8, 1.72, 1.66, 1.65, 1.75,\n                  1.69, 1.72, 1.56, 1.6, 1.7, 1.62, 1.62, 1.61, 1.65, 1.86, 2.01, 1.93, 2.16, 2.11, 2.03, 1.93, 1.85,\n                  1.78, 1.66, 1.67, 1.64, 1.76, 1.77, 1.67, 1.55, 1.59, 1.51, 1.46]\nmqtt_avr_err_1 = [100, 100, 100, 100, 100, 100, 100, 9.232, 4.548, 2.572, 2.592, 3.512, 2.89, 2.27, 2.606, 2.616, 2.754,\n                  2.502, 2.6879999999999997, 3.42, 2.404, 2.148, 1.97, 1.672, 2.074, 2.084, 1.724, 1.472, 1.2, 1.066,\n                  1.292, 1.348, 1.596, 1.506, 1.408, 0.91, 1.1219999999999999, 1.178, 1.276, 0.994, 0.918,\n                  1.3519999999999999, 1.158, 1.068, 0.946, 0.708, 0.644, 0.56, 0.586, 0.562, 0.582, 0.764, 1.084, 1.242,\n                  1.08, 1.056, 1.322, 1.184, 1.998, 1.8299999999999998, 2.394, 2.212, 2.112, 2.338, 2.206, 2.322,\n                  2.4859999999999998, 2.634, 2.56, 2.4419999999999997, 2.412, 2.306, 2.166, 2.04, 1.936, 1.754, 1.658,\n                  1.574, 1.428, 1.522, 1.476, 1.3559999999999999, 1.158, 1.19, 1.242, 1.294, 1.376, 1.474, 1.528, 1.432,\n                  1.268, 1.3960000000000001, 1.786, 1.656, 1.616, 1.654, 1.6380000000000001, 1.64, 1.538, 1.556, 1.482,\n                  1.682, 1.534, 1.4220000000000002, 1.318, 1.184, 1.104, 1.064, 0.98, 1.084, 0.994, 1.028,\n                  0.9460000000000001, 0.822, 0.704, 0.832, 0.9440000000000001, 1.026, 0.99, 1.068, 1.134, 1.17, 1.182,\n                  1.144, 1.03, 1.014, 0.912, 0.786, 0.872, 0.848, 0.942, 1.066, 0.992, 1.016, 1.048, 1.1280000000000001,\n                  1.238, 1.164, 1.022, 0.984, 1.146, 1.098, 1.064, 0.934, 0.96, 0.954, 1.026, 0.906, 0.854, 0.928,\n                  0.982, 0.896, 0.882, 0.9359999999999999, 1.008, 0.926, 0.8360000000000001, 0.866, 0.992, 0.922, 0.872,\n                  0.9179999999999999, 0.8460000000000001, 0.796, 0.812, 0.868, 0.852, 0.734, 0.744, 0.702, 0.668, 0.654,\n                  0.762, 0.654, 0.5780000000000001, 0.56, 0.558, 0.526, 0.47800000000000004, 0.462, 0.64, 0.612,\n                  0.5640000000000001, 0.5720000000000001, 0.63, 0.624, 0.588, 0.716, 0.736, 0.6940000000000001, 0.602,\n                  0.578, 0.542, 0.528, 0.554, 0.476, 0.542, 0.704, 0.722, 0.744, 0.728, 0.806, 0.87, 0.868, 0.958,\n                  0.876, 0.918, 0.884, 0.97, 1.052, 1.0, 1.038, 1.016, 1.042, 1.094, 1.116, 1.168, 1.214, 1.19, 1.172,\n                  1.188, 1.224, 1.206, 1.214, 1.1340000000000001, 1.1660000000000001, 1.196, 1.172, 1.178, 1.174, 1.186,\n                  1.276, 1.3459999999999999, 1.318, 1.422, 1.4, 1.3699999999999999, 1.324, 1.296, 1.268, 1.216, 1.226,\n                  1.222, 1.274, 1.274, 1.204, 1.1540000000000001, 1.1640000000000001, 1.1280000000000001,\n                  1.1059999999999999]\nmqtt_unamb_1 = [83.33, 68.57, 70.21, 72.06, 73.42, 77.42, 85.22, 86.86, 90.74, 95.11, 97.28, 97.28, 97.28, 97.96, 99.46,\n                78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57,\n                78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 79.08, 79.08, 79.08, 79.08, 79.08, 79.08, 79.08, 79.08, 79.08,\n                79.08, 79.08, 79.08, 79.08, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 79.59, 79.59,\n                79.59, 79.08, 78.57, 78.57, 79.59, 79.59, 79.59, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61,\n                80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61,\n                80.61, 80.61, 81.12, 81.12, 81.12, 81.12, 81.12, 80.61, 80.61, 81.12, 81.63, 81.63, 81.63, 81.63, 81.63,\n                81.12, 81.12, 80.61, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12,\n                81.12, 81.12, 81.12, 81.12, 81.12, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.61, 80.1, 80.1, 80.1,\n                80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.61, 80.1, 81.12, 81.12, 81.12, 81.63, 81.63, 81.63, 81.63,\n                81.63, 81.63, 82.14, 81.63, 81.63, 81.63, 81.63, 81.63, 81.63, 81.63, 81.63, 81.63, 81.63, 81.63, 81.12,\n                81.12, 81.12, 82.14, 82.14, 82.14, 82.65, 82.65, 82.65, 82.65, 82.65, 82.65, 82.65, 82.65, 82.65, 82.65,\n                82.65, 82.65, 82.65, 82.65, 82.65, 82.65, 82.65, 83.16, 83.16, 83.16, 83.16, 83.16, 83.16, 82.65, 83.16,\n                83.16, 83.16, 83.16, 83.16, 83.16, 83.16, 83.16, 83.16, 83.16, 83.67, 83.67, 83.67, 83.67, 83.67, 83.67,\n                83.67, 83.67, 83.67, 83.67, 83.16, 83.16, 83.16, 83.67, 83.67, 83.67, 83.67, 83.67, 83.67, 83.67, 83.16,\n                83.16, 83.67, 83.67, 83.67, 84.18, 84.18, 84.18, 84.18, 84.18, 84.69, 84.18, 84.18, 83.67, 84.69, 84.69,\n                85.2, 85.71, 85.71, 85.71, 85.71, 85.71, 85.71, 85.71, 85.71]\n\nmqtt_max_err_2 = [100, 100, 100, 100, 100, 100, 100, 9.76, 1.89, 28.08, 6.22, 3.56, 3.26, 3.51, 3.12, 2.79, 2.93, 2.61,\n                  2.06, 2.14, 2.17, 2.06, 2.49, 2.2, 2.46, 2.37, 2.61, 2.67, 2.61, 2.67, 2.79, 2.84, 2.8, 2.92, 3.02,\n                  3.01, 2.97, 3.26, 3.21, 3.04, 2.57, 3.15, 2.49, 2.66, 3.59, 3.66, 3.15, 3.55, 3.46, 3.52, 3.72, 3.42,\n                  3.61, 3.14, 3.63, 3.51, 3.32, 2.92, 3.46, 3.61, 3.45, 3.54, 4.12, 4.81, 4.81, 4.53, 4.76, 4.41, 4.79,\n                  5.14, 5.08, 5.31, 4.86, 4.66, 4.08, 4.29, 4.81, 4.43, 4.77, 4.58, 4.58, 4.77, 4.52, 4.36, 4.2, 4.45,\n                  4.29, 4.23, 4.38, 4.57, 4.38, 4.34, 4.29, 4.05, 4.03, 3.83, 3.65, 3.43, 3.33, 3.78, 3.53, 3.55, 3.4,\n                  3.34, 3.06, 3.43, 3.61, 3.61, 3.89, 3.58, 3.4, 3.23, 2.84, 2.57, 2.79, 2.8, 2.9, 2.68, 2.98, 2.76,\n                  2.65, 2.4, 2.13, 2.38, 2.5, 2.53, 2.37, 2.47, 2.46, 2.23, 2.23, 2.35, 2.27, 2.1, 2.1, 1.86, 1.83,\n                  1.93, 2.07, 1.76, 1.9, 1.63, 1.65, 1.52, 1.53, 1.93, 1.82, 1.63, 1.77, 1.57, 1.56, 1.57, 1.56, 1.76,\n                  1.76, 2.02, 1.93, 1.92, 1.77, 1.96, 1.78, 1.72, 1.63, 1.4, 1.63, 1.49, 1.55, 1.64, 1.74, 1.5, 1.8,\n                  1.66, 1.87, 2.05, 2.03, 2.35, 2.29, 2.34, 2.16, 2.05, 1.93, 1.93, 1.83, 1.84, 1.94, 2.17, 2.32, 2.7,\n                  2.56, 2.45, 2.61, 2.63, 2.69, 2.73, 2.56, 2.56, 2.68, 2.53, 2.55, 2.66, 2.7, 2.56, 2.6, 2.68, 2.52,\n                  2.44, 2.34, 2.23, 2.38, 2.34, 2.8, 2.84, 2.7, 2.65, 2.67, 2.73, 2.73, 2.82, 2.79, 2.77, 2.84, 2.78,\n                  2.82, 2.9, 2.83, 2.82, 2.9, 2.81, 2.7, 2.7, 2.64, 2.57, 2.5, 2.58, 2.5, 2.61, 2.59, 2.71, 2.72, 2.67,\n                  2.64, 2.76, 2.77, 2.75, 2.72, 2.74, 2.68, 2.6, 2.53, 2.49]\nmqtt_avr_err_2 = [100, 100, 100, 100, 100, 100, 100, 6.438, 0.984, 9.953999999999999, 3.312, 2.216, 1.238, 1.426, 1.19,\n                  1.204, 1.62, 1.6139999999999999, 1.214, 1.252, 1.03, 0.9480000000000001, 1.4320000000000002, 1.368,\n                  1.228, 1.086, 0.95, 1.1159999999999999, 1.028, 1.31, 1.236, 1.5899999999999999, 1.1139999999999999,\n                  1.25, 1.354, 1.462, 1.9100000000000001, 2.152, 2.002, 1.8900000000000001, 1.97, 2.2439999999999998,\n                  1.976, 2.048, 2.452, 2.536, 2.332, 2.454, 2.452, 2.5060000000000002, 2.552, 2.366, 2.294, 2.24, 2.436,\n                  2.46, 2.316, 2.064, 2.32, 2.422, 2.328, 2.314, 2.548, 2.846, 2.856, 2.7439999999999998, 2.854, 2.634,\n                  2.736, 2.868, 2.8779999999999997, 2.952, 2.726, 2.64, 2.38, 2.474, 2.686, 2.518, 2.638,\n                  2.5100000000000002, 2.518, 2.606, 2.4699999999999998, 2.37, 2.284, 2.426, 2.346, 2.3280000000000003,\n                  2.368, 2.45, 2.368, 2.36, 2.328, 2.252, 2.2520000000000002, 2.116, 2.082, 1.976, 1.97, 2.178, 2.038,\n                  2.054, 2.004, 1.966, 1.832, 2.002, 2.09, 2.096, 2.214, 2.072, 1.974, 1.882, 1.698, 1.542,\n                  1.6400000000000001, 1.652, 1.722, 1.6059999999999999, 1.746, 1.6159999999999999, 1.5899999999999999,\n                  1.466, 1.356, 1.446, 1.304, 1.3379999999999999, 1.262, 1.302, 1.322, 1.22, 1.224, 1.294, 1.416, 1.324,\n                  1.3439999999999999, 1.248, 1.22, 1.256, 1.3119999999999998, 1.182, 1.26, 1.1239999999999999, 1.128,\n                  1.084, 1.124, 1.316, 1.26, 1.17, 1.226, 1.102, 1.1, 1.11, 1.106, 1.19, 1.19, 1.31, 1.274, 1.272,\n                  1.214, 1.278, 1.198, 1.182, 1.128, 1.036, 1.154, 1.076, 1.104, 1.14, 1.18, 1.068, 1.188,\n                  1.1159999999999999, 1.216, 1.3179999999999998, 1.296, 1.438, 1.412, 1.42, 1.34, 1.286, 1.232, 1.228,\n                  0.996, 1.002, 1.054, 1.164, 1.24, 1.402, 1.342, 1.294, 1.3599999999999999, 1.3679999999999999, 1.39,\n                  1.416, 1.336, 1.332, 1.3840000000000001, 1.314, 1.3439999999999999, 1.398, 1.42, 1.368,\n                  1.3940000000000001, 1.426, 1.352, 1.316, 1.262, 1.22, 1.28, 1.264, 1.474, 1.5, 1.4460000000000002,\n                  1.426, 1.426, 1.452, 1.452, 1.5, 1.482, 1.482, 1.51, 1.478, 1.492, 1.526, 1.494, 1.49, 1.518, 1.47,\n                  1.422, 1.424, 1.4020000000000001, 1.3659999999999999, 1.328, 1.364, 1.324, 1.3760000000000001, 1.368,\n                  1.416, 1.42, 1.396, 1.3840000000000001, 1.436, 1.44, 1.43, 1.4100000000000001, 1.4180000000000001,\n                  1.4000000000000001, 1.36, 1.3359999999999999, 1.316]\nmqtt_unamb_2 = [83.33, 79.41, 73.91, 74.14, 75.0, 78.49, 84.48, 89.13, 91.36, 95.65, 96.2, 98.37, 98.37, 99.46, 99.46,\n                99.46, 100.0, 100.0, 99.46, 78.06, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57,\n                78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 79.08, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57,\n                78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 78.57, 79.08, 79.08,\n                79.59, 79.08, 79.59, 79.59, 79.59, 79.59, 79.59, 79.59, 79.59, 79.59, 79.59, 79.59, 79.59, 79.59, 79.59,\n                79.59, 79.59, 79.59, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 79.59, 80.1, 80.1, 80.1, 80.1,\n                80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1,\n                80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.61, 80.61, 80.61, 80.61, 80.61, 81.12,\n                81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 80.61, 80.61, 80.61, 80.61, 80.1, 80.1, 80.1, 80.1,\n                80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.1, 80.61, 81.12, 81.12, 81.12,\n                81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12, 81.12,\n                81.12, 81.12, 81.12, 81.12, 82.14, 82.14, 82.14, 82.14, 81.63, 81.63, 81.63, 82.14, 82.14, 82.14, 82.14,\n                82.14, 82.65, 82.14, 82.14, 82.14, 82.14, 82.14, 82.14, 82.14, 82.14, 82.65, 82.65, 82.65, 82.14, 82.14,\n                82.14, 82.14, 82.14, 81.63, 81.63, 81.63, 82.14, 82.14, 82.65, 82.65, 83.16, 83.16, 83.16, 83.16, 83.16,\n                83.16, 83.16, 83.16, 83.16, 82.65, 82.65, 82.65, 82.65, 83.16, 83.16, 83.16, 82.65, 82.65, 82.65, 82.65,\n                82.65, 82.65, 82.65, 82.65, 83.16, 83.16, 83.16, 83.16, 83.16, 83.16, 83.16, 83.16, 83.16, 83.16, 82.65,\n                82.65, 82.65, 82.65, 82.65, 82.65]\n\nsecond_grid_max_err_1 = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 97.43, 93.46, 85.46, 42.15,\n                         24.14, 22.72, 18.37, 17.29, 19.52, 19.32, 16.22, 16.41, 16.87, 16.86, 17.05, 17.1, 17.31, 17.2,\n                         0.74, 0.71, 0.77, 0.8, 0.63, 0.65, 0.71, 0.68, 0.75, 0.69, 0.78, 0.6, 0.64, 0.73, 0.72, 4.92,\n                         4.59, 4.53, 4.55, 4.47, 1.28, 1.46, 1.39, 1.57, 2.48, 2.47, 2.08, 2.1, 1.9, 1.14, 1.28, 0.89,\n                         0.94, 5.16, 5.21, 5.2, 5.16, 5.15, 5.48, 4.9, 4.84, 4.91, 5.14, 5.11, 5.15, 5.15, 5.1, 5.37,\n                         5.36, 5.31, 5.27, 5.32, 5.27, 5.21, 5.22, 5.17, 5.19, 5.15, 5.14, 5.11, 5.25, 5.2, 5.4, 5.39,\n                         5.34, 5.36, 5.29, 5.29, 5.28, 5.29, 0.47, 0.46, 0.46, 0.41, 0.41, 0.43, 0.38, 0.39, 0.42, 0.41,\n                         0.42, 0.46, 0.41, 0.4, 0.43, 0.53, 0.48, 0.51, 0.55, 0.52, 0.61, 0.45, 0.47, 0.47, 0.3, 0.26,\n                         0.31, 0.4, 0.33, 0.24, 0.27, 0.2, 0.27, 0.21, 0.28, 0.3, 0.36, 0.42, 0.34, 0.5, 0.65, 0.57,\n                         0.44, 0.62, 0.7, 0.69, 0.61, 0.49, 0.46, 0.55, 0.47, 0.4, 0.43, 0.49, 0.41, 0.41, 0.4, 0.43,\n                         0.35, 0.33, 0.39, 0.46, 0.48, 0.51, 0.57, 0.49, 0.61, 0.58, 0.6, 0.57, 0.48, 0.65, 0.54, 0.52,\n                         0.57, 0.62, 0.57, 0.75, 0.72, 0.65, 0.66, 0.6, 0.55, 0.52, 0.48, 0.49, 0.54, 0.52, 0.51, 0.55,\n                         0.4, 0.37, 0.38, 0.48, 0.65, 0.67, 0.64, 0.67, 0.64, 0.66, 0.78, 0.69, 0.64, 0.63, 0.55, 0.53,\n                         0.61, 0.59, 0.56, 0.56, 0.57, 0.58, 0.64, 0.57, 0.6, 0.7, 0.64, 0.5, 0.48, 0.41, 0.41, 0.47,\n                         0.45, 0.45, 0.42, 0.33, 0.36, 0.37, 0.4, 0.39, 0.35, 0.34, 0.36, 0.31, 0.34, 0.35, 0.32, 0.41,\n                         0.46, 0.4, 0.41, 0.43, 0.39, 0.34, 0.41, 0.48, 0.54, 0.43, 0.37]\nsecond_grid_avr_err_1 = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 66.4425, 58.0325,\n                         40.832499999999996, 20.5425, 10.545, 10.945, 10.030000000000001, 7.035, 10.91, 10.6475, 5.755,\n                         5.78, 6.0075, 5.4275, 5.455, 5.4350000000000005, 5.52, 5.6325, 0.5825, 0.5625, 0.495, 0.5225,\n                         0.505, 0.5, 0.5125, 0.47750000000000004, 0.51, 0.51, 0.4625, 0.355, 0.34500000000000003,\n                         0.4025, 0.4025, 1.765, 1.8175, 1.74, 1.6075, 1.6375, 0.84, 0.8825, 0.8674999999999999, 0.895,\n                         1.19, 1.165, 1.0050000000000001, 1.02, 0.9375, 0.6375, 0.7050000000000001, 0.5125, 0.53, 1.8,\n                         1.7575, 1.6975, 1.625, 1.7125000000000001, 1.7950000000000002, 1.705, 1.665, 1.53, 1.5725,\n                         1.5550000000000002, 1.51, 1.52, 1.4849999999999999, 1.47, 1.435, 1.4224999999999999, 1.4175,\n                         1.4075, 1.3975, 1.41, 1.3975, 1.365, 1.4025, 1.3900000000000001, 1.3824999999999998, 1.35,\n                         1.46, 1.4200000000000002, 1.4975, 1.4874999999999998, 1.4575, 1.4575, 1.4425000000000001,\n                         1.4575, 1.4375, 1.485, 0.3075, 0.3325, 0.33, 0.2475, 0.265, 0.31, 0.2325, 0.2625, 0.27, 0.24,\n                         0.2625, 0.315, 0.22, 0.2225, 0.3075, 0.355, 0.3175, 0.325, 0.3325, 0.315, 0.335, 0.2625,\n                         0.2675, 0.2675, 0.19, 0.1675, 0.185, 0.21000000000000002, 0.195, 0.16999999999999998, 0.175,\n                         0.1575, 0.17, 0.165, 0.17, 0.18, 0.19, 0.1925, 0.17250000000000001, 0.24, 0.335, 0.3125,\n                         0.23500000000000001, 0.3075, 0.3325, 0.33999999999999997, 0.28, 0.24, 0.20500000000000002,\n                         0.24000000000000002, 0.2025, 0.1875, 0.185, 0.1875, 0.16749999999999998, 0.1825, 0.1875,\n                         0.1925, 0.1825, 0.185, 0.20750000000000002, 0.2275, 0.235, 0.255, 0.27999999999999997, 0.2575,\n                         0.3275, 0.295, 0.3075, 0.3025, 0.26, 0.3525, 0.29000000000000004, 0.2775, 0.2975, 0.315,\n                         0.26999999999999996, 0.35250000000000004, 0.33749999999999997, 0.28750000000000003,\n                         0.28500000000000003, 0.265, 0.24500000000000002, 0.2275, 0.21, 0.2175, 0.2275, 0.2325,\n                         0.23500000000000001, 0.24250000000000002, 0.21500000000000002, 0.2075, 0.1975, 0.21, 0.2975,\n                         0.315, 0.3075, 0.315, 0.3075, 0.3275, 0.3775, 0.33249999999999996, 0.3275, 0.315,\n                         0.28500000000000003, 0.275, 0.3125, 0.2975, 0.2725, 0.2725, 0.285, 0.27249999999999996, 0.325,\n                         0.2925, 0.3075, 0.3475, 0.32, 0.255, 0.245, 0.215, 0.2225, 0.22999999999999998, 0.2225, 0.2225,\n                         0.21, 0.1925, 0.185, 0.195, 0.22, 0.2075, 0.1825, 0.1875, 0.1925, 0.175, 0.185, 0.1825, 0.175,\n                         0.195, 0.20750000000000002, 0.185, 0.1975, 0.21, 0.195, 0.17750000000000002,\n                         0.19499999999999998, 0.2225, 0.24000000000000002, 0.20249999999999999, 0.195]\nsecond_grid_unamb_1 = [60.0, 77.78, 71.05, 76.36, 73.61, 79.07, 70.43, 66.67, 74.12, 66.85, 71.2, 71.01, 71.75, 70.28,\n                       67.55, 70.8, 73.08, 72.88, 74.51, 76.22, 76.43, 78.83, 79.8, 79.94, 80.78, 81.43, 82.74, 82.74,\n                       83.06, 84.04, 84.08, 85.02, 85.03, 85.34, 85.99, 85.67, 85.67, 86.32, 84.08, 84.39, 88.85, 87.95,\n                       85.67, 85.67, 85.67, 86.62, 86.94, 86.94, 87.26, 87.26, 87.58, 87.9, 87.9, 88.22, 88.54, 88.54,\n                       88.54, 88.85, 88.85, 88.85, 88.85, 88.85, 88.85, 89.17, 89.49, 89.49, 89.49, 89.49, 89.81, 90.13,\n                       90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.13, 88.51, 90.45,\n                       90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.76, 90.76, 90.45, 91.28, 91.08,\n                       91.08, 91.08, 91.08, 91.08, 90.76, 91.08, 91.08, 91.08, 91.08, 91.4, 91.4, 91.4, 91.4, 91.4,\n                       91.4, 91.4, 91.4, 91.4, 91.08, 91.08, 91.08, 91.08, 91.4, 91.4, 91.72, 91.72, 91.72, 91.72,\n                       91.72, 91.72, 92.04, 92.04, 92.36, 92.04, 92.04, 92.04, 92.36, 92.04, 92.04, 92.04, 92.04, 92.68,\n                       92.68, 92.36, 92.68, 92.68, 92.68, 92.68, 92.68, 92.68, 92.68, 92.68, 92.68, 92.68, 92.36, 90.74,\n                       92.68, 92.99, 92.99, 92.99, 92.99, 92.99, 92.68, 92.99, 93.31, 93.31, 93.31, 93.31, 92.99, 92.99,\n                       92.99, 92.99, 92.68, 92.99, 92.68, 92.68, 91.36, 92.68, 92.68, 92.68, 92.68, 92.68, 92.68, 92.68,\n                       92.36, 92.36, 92.68, 92.99, 92.68, 92.99, 92.99, 92.99, 92.99, 92.99, 92.99, 93.31, 92.99, 93.31,\n                       93.31, 93.31, 93.31, 92.99, 93.31, 93.31, 93.31, 93.63, 93.63, 93.63, 93.31, 93.63, 93.95, 93.95,\n                       93.95, 94.27, 94.27, 94.27, 93.95, 94.27, 94.27, 94.59, 94.59, 94.59, 94.59, 94.59, 94.59, 94.59,\n                       94.27, 94.27, 94.27, 94.27, 94.27, 94.59, 94.59, 94.59, 94.59, 94.59, 94.9, 94.59, 94.59, 94.59,\n                       94.59, 94.59, 94.59, 94.59, 94.59, 94.59, 94.9, 94.9, 94.9, 94.9, 94.9, 94.9]\n\nsecond_grid_max_err_2 = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 93.98, 97.43, 97.43,\n                         95.88, 96.56, 92.01, 92.67, 91.36, 80.52, 76.18, 48.4, 46.6, 51.42, 6.01, 5.78, 5.81, 5.72,\n                         5.5, 2.22, 2.32, 3.3, 1.98, 1.94, 1.51, 1.53, 1.55, 1.29, 1.12, 1.2, 1.89, 2.48, 2.34, 2.43,\n                         4.38, 4.48, 1.67, 1.65, 1.57, 1.6, 1.48, 1.62, 1.7, 1.46, 1.57, 1.52, 1.33, 1.5, 1.57, 1.31,\n                         1.29, 1.41, 1.35, 1.37, 1.23, 1.21, 1.26, 1.16, 1.12, 1.11, 1.35, 1.37, 1.34, 1.59, 1.74, 1.55,\n                         1.07, 1.05, 1.09, 0.98, 1.25, 0.94, 1.06, 0.96, 0.92, 1.09, 1.14, 1.24, 1.2, 1.32, 1.31, 1.29,\n                         1.18, 1.1, 1.05, 1.18, 1.15, 0.99, 1.17, 1.23, 1.26, 1.27, 1.21, 1.31, 1.24, 1.16, 1.15, 1.17,\n                         1.2, 1.21, 1.16, 1.14, 1.13, 1.12, 1.09, 1.02, 1.01, 0.88, 0.92, 0.9, 0.91, 0.97, 0.98, 0.97,\n                         0.97, 0.99, 1.0, 1.04, 1.0, 1.02, 1.02, 0.91, 0.89, 0.92, 0.96, 1.01, 0.95, 0.98, 0.97, 1.04,\n                         1.08, 1.08, 1.09, 1.12, 1.21, 1.1, 1.09, 1.11, 1.14, 1.14, 1.19, 1.23, 1.19, 1.19, 1.24, 1.27,\n                         1.28, 1.26, 1.26, 1.2, 1.2, 1.17, 1.25, 1.29, 1.25, 1.21, 1.19, 1.14, 1.18, 1.93, 2.21, 2.13,\n                         2.18, 1.97, 1.97, 1.93, 1.9, 1.95, 1.91, 1.91, 1.88, 1.77, 1.77, 1.75, 1.77, 1.78, 1.8, 1.69,\n                         1.62, 1.73, 1.8, 1.81, 1.7, 1.71, 1.64, 1.63, 1.61, 1.5, 1.52, 1.37, 1.31, 1.16, 1.24, 1.2,\n                         1.23, 1.23, 1.13, 1.18, 1.13, 1.08, 1.11, 1.12, 1.14, 1.11, 1.05, 1.06, 1.06, 1.05, 1.0, 1.0,\n                         0.96, 0.79, 0.81, 0.76, 0.81, 0.93, 0.89, 0.83, 0.9, 0.77, 0.78, 0.81, 0.78, 0.84, 0.79, 0.79,\n                         0.82, 0.86, 0.83, 0.79, 0.85, 0.96, 1.06, 1.02, 1.03, 1.07]\nsecond_grid_avr_err_2 = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 62.2975, 60.6325,\n                         62.205000000000005, 59.2925, 60.722500000000004, 45.675, 45.425, 37.335, 27.685, 22.1, 15.67,\n                         15.345, 15.9075, 3.045, 2.7525, 2.7849999999999997, 2.1999999999999997, 2.06,\n                         1.1400000000000001, 1.355, 1.4024999999999999, 1.0825, 1.0025, 0.765, 0.7825, 0.765, 0.74,\n                         0.835, 0.9025, 0.9975, 1.0875, 1.0725, 1.115, 1.9275, 1.9400000000000002, 1.0425, 1.03, 1.0025,\n                         1.0125, 0.9924999999999999, 0.9175, 0.9149999999999999, 0.8925, 0.87, 0.875, 0.8925, 0.855,\n                         0.8625, 0.875, 0.9, 0.9099999999999999, 0.9375, 0.93, 0.9175, 0.91, 0.8674999999999999, 0.85,\n                         0.8700000000000001, 0.8350000000000001, 0.855, 0.8525, 0.8475, 0.8675, 0.845, 0.81, 0.8025,\n                         0.8075, 0.7775000000000001, 0.77, 0.7525000000000001, 0.775, 0.775, 0.7175, 0.7175, 0.675, 0.7,\n                         0.7375, 0.7275, 0.78, 0.7775, 0.735, 0.7425, 0.72, 0.6525, 0.65, 0.6749999999999999, 0.665,\n                         0.705, 0.6849999999999999, 0.645, 0.625, 0.6175, 0.6325, 0.6275000000000001, 0.655, 0.6725,\n                         0.64, 0.625, 0.6125, 0.595, 0.6, 0.6074999999999999, 0.605, 0.6375000000000001, 0.6, 0.5925,\n                         0.6, 0.6224999999999999, 0.6074999999999999, 0.6275, 0.6475, 0.6575, 0.66, 0.67, 0.645, 0.635,\n                         0.6375, 0.64, 0.64, 0.6425, 0.6575, 0.6799999999999999, 0.6575, 0.6699999999999999, 0.6825,\n                         0.7050000000000001, 0.7025, 0.6925, 0.715, 0.73, 0.725, 0.7325, 0.7275, 0.7374999999999999,\n                         0.7175, 0.7275, 0.7175, 0.7374999999999999, 0.7374999999999999, 0.74, 0.7525, 0.7825, 0.7725,\n                         0.7875, 0.7825, 0.77, 0.775, 0.77, 0.7725, 0.78, 0.77, 0.7675, 0.7925, 0.8, 0.785, 0.78,\n                         0.7775, 0.77, 1.2425, 1.3775, 1.3575, 1.3575, 1.265, 1.2874999999999999, 1.2725, 1.2625,\n                         1.3125, 1.29, 1.2974999999999999, 1.2775, 1.19, 1.1875, 1.1775, 1.205, 1.215, 1.215, 1.1475,\n                         1.0775000000000001, 1.1475, 1.19, 1.205, 1.1125, 1.125, 1.0625, 1.0374999999999999, 1.03,\n                         0.9425, 0.9700000000000001, 0.855, 0.8075, 0.71, 0.78, 0.75, 0.7725, 0.7675, 0.72,\n                         0.7324999999999999, 0.695, 0.6725, 0.7000000000000001, 0.7025, 0.7175, 0.6900000000000001,\n                         0.6625, 0.6625, 0.6575, 0.6475, 0.6025, 0.6, 0.58, 0.46, 0.485, 0.44, 0.48, 0.5875, 0.5575,\n                         0.5, 0.55, 0.455, 0.4625, 0.485, 0.46, 0.51, 0.4625, 0.475, 0.4875, 0.5, 0.47, 0.4325, 0.4775,\n                         0.56, 0.625, 0.595, 0.5875, 0.625]\nsecond_grid_unamb_2 = [60.0, 72.22, 78.95, 80.0, 70.0, 74.12, 72.0, 67.74, 68.42, 69.18, 61.85, 66.14, 66.34, 66.2,\n                       65.49, 63.9, 67.77, 65.49, 62.83, 66.9, 66.43, 64.03, 65.29, 68.73, 70.57, 72.31, 72.64, 73.94,\n                       74.27, 74.92, 76.55, 77.52, 78.83, 79.8, 80.13, 80.78, 81.43, 81.43, 82.08, 82.28, 82.35, 83.71,\n                       83.71, 83.39, 80.25, 80.89, 81.21, 79.39, 83.12, 83.44, 83.76, 84.08, 84.08, 84.08, 84.08, 84.08,\n                       84.08, 83.76, 84.08, 84.08, 85.03, 85.03, 85.03, 84.71, 84.71, 85.35, 84.71, 84.08, 84.71, 84.71,\n                       85.03, 85.35, 85.67, 85.99, 86.62, 86.62, 86.62, 86.94, 86.94, 87.26, 87.26, 87.26, 87.26, 87.26,\n                       87.26, 87.26, 87.26, 87.58, 87.9, 87.9, 87.9, 87.9, 87.9, 87.9, 87.9, 88.22, 88.54, 88.22, 88.22,\n                       88.54, 88.54, 89.17, 89.17, 89.17, 89.17, 89.49, 89.17, 89.81, 90.13, 90.76, 90.76, 90.76, 90.76,\n                       90.76, 90.76, 90.76, 90.45, 90.97, 90.76, 90.76, 90.76, 90.76, 90.76, 90.76, 90.45, 90.45, 90.76,\n                       90.13, 90.13, 90.45, 90.45, 90.45, 90.45, 90.13, 90.45, 90.45, 90.45, 90.45, 90.76, 90.76, 90.76,\n                       90.76, 90.76, 90.45, 90.76, 90.45, 90.76, 91.08, 91.08, 91.08, 91.08, 91.08, 91.4, 91.4, 91.4,\n                       91.72, 91.72, 92.04, 92.04, 92.04, 92.04, 92.04, 92.04, 92.04, 92.04, 92.04, 92.04, 92.36, 92.36,\n                       92.99, 92.99, 92.99, 92.99, 92.99, 92.99, 92.99, 92.99, 93.31, 92.99, 93.31, 93.31, 93.63, 93.63,\n                       93.31, 93.31, 93.31, 93.31, 93.31, 93.31, 93.63, 93.95, 93.63, 93.95, 93.95, 93.95, 94.27, 94.27,\n                       94.27, 94.27, 94.27, 93.95, 93.95, 93.95, 93.95, 93.95, 94.27, 94.27, 94.27, 93.95, 93.95, 93.95,\n                       93.95, 93.95, 93.95, 93.95, 94.27, 93.95, 94.59, 94.27, 94.27, 94.27, 94.27, 93.95, 93.95, 93.63,\n                       93.95, 93.95, 93.95, 93.95, 93.95, 93.95, 93.95, 93.95, 94.59, 94.59, 94.27, 94.27, 94.59, 94.59,\n                       94.59, 94.9, 94.59, 94.59, 94.59, 94.59, 94.59, 94.59, 94.59, 94.59, 94.59]\n\nsecond_grid_max_err_3 = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,\n                         100, 90.41, 90.74, 90.48, 68.35, 37.94, 65.4, 27.09, 16.96, 17.02, 18.25, 18.23, 17.02, 29.13,\n                         29.3, 28.79, 28.39, 26.64, 26.0, 74.46, 74.61, 70.84, 71.09, 71.1, 71.65, 71.52, 71.42, 71.42,\n                         72.93, 72.56, 72.46, 84.49, 84.49, 84.59, 84.6, 84.69, 84.69, 4.43, 4.47, 4.45, 4.43, 4.33,\n                         4.37, 4.44, 4.76, 5.19, 5.14, 5.39, 5.61, 5.62, 5.49, 5.34, 5.33, 5.46, 5.47, 5.67, 5.54, 5.58,\n                         5.51, 5.44, 5.59, 5.42, 4.73, 4.66, 4.72, 4.69, 4.64, 4.79, 4.76, 5.11, 5.35, 5.82, 5.73, 5.55,\n                         5.57, 5.57, 5.66, 5.65, 6.26, 6.26, 6.33, 6.25, 6.2, 6.11, 6.11, 6.32, 6.15, 6.13, 6.12, 6.14,\n                         6.13, 6.18, 6.18, 5.83, 5.94, 5.94, 5.98, 6.0, 6.03, 6.02, 6.21, 6.15, 5.64, 5.61, 6.1, 6.1,\n                         6.06, 6.11, 6.26, 6.14, 6.07, 6.01, 5.92, 5.93, 5.95, 5.94, 5.83, 5.33, 5.21, 5.25, 5.15, 5.07,\n                         5.13, 5.21, 5.22, 5.25, 5.2, 5.25, 5.27, 5.24, 5.5, 5.49, 5.56, 5.04, 5.09, 4.63, 4.63, 4.59,\n                         4.6, 4.79, 4.73, 4.29, 4.33, 4.33, 4.55, 4.51, 4.51, 4.47, 4.91, 4.96, 5.02, 5.25, 5.25, 5.35,\n                         5.34, 5.36, 5.32, 5.37, 5.34, 5.42, 5.41, 5.4, 5.4, 5.76, 4.84, 4.81, 4.94, 4.94, 5.12, 5.06,\n                         5.01, 5.08, 5.12, 5.07, 5.26, 5.5, 5.5, 5.55, 5.36, 5.4, 5.42, 5.41, 5.0, 4.95, 4.96, 5.02,\n                         5.08, 5.04, 5.22, 5.23, 5.24, 5.47, 5.09, 5.02, 5.05, 5.04, 4.87, 5.16, 5.18, 5.2, 5.28, 5.26,\n                         5.26, 5.61, 5.65, 5.62, 5.6, 5.65, 5.66, 5.63, 5.27, 5.23, 5.28, 5.25, 5.23, 5.12, 2.27, 2.28,\n                         5.17, 5.21, 5.17, 2.32, 2.58, 5.44, 2.62, 2.64, 2.71, 2.66, 2.63, 2.64, 2.6]\nsecond_grid_avr_err_3 = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,\n                         100, 58.4325, 58.6325, 58.385000000000005, 28.154999999999998, 22.125, 25.87, 13.1875, 8.6725,\n                         8.215, 8.55, 9.5825, 10.004999999999999, 13.0275, 13.2925, 13.225, 13.1675, 12.93, 12.81,\n                         28.014999999999997, 28.015, 23.8675, 23.810000000000002, 23.81, 23.9025, 23.91, 23.9175,\n                         23.875, 24.26, 24.3075, 24.287499999999998, 25.6775, 25.645, 25.905, 25.9425, 26.115, 26.0975,\n                         1.6175, 1.755, 1.725, 1.7274999999999998, 1.6775, 1.67, 1.6775, 1.8125, 1.965,\n                         1.9324999999999999, 1.9974999999999998, 2.0575, 2.035, 1.9775, 1.9275, 2.0275, 2.18, 2.1375,\n                         2.1975, 2.13, 2.1475, 2.135, 2.0975, 2.2525, 2.185, 1.9075000000000002, 1.8525, 1.91, 1.8825,\n                         1.8575, 2.095, 2.05, 2.1575, 2.2475, 2.5975, 2.5375, 2.4625, 2.4675000000000002, 2.4425,\n                         2.4625, 2.5100000000000002, 2.7175, 2.7275, 2.835, 2.8175, 2.765, 2.725, 2.785, 2.845, 2.755,\n                         2.7425, 2.73, 2.7925, 2.77, 2.7575, 2.7475, 2.605, 2.7275, 2.7175000000000002, 2.73, 2.735,\n                         2.7225, 2.8, 2.8575, 2.8325, 2.6275, 2.5875, 2.7025, 2.6875, 2.655, 2.6425, 2.6875, 2.6375,\n                         2.5925000000000002, 2.53, 2.48, 2.4475, 2.45, 2.4475000000000002, 2.375, 2.1875, 2.105, 2.12,\n                         2.1475, 2.1, 2.1, 2.1075, 2.0925, 2.09, 2.075, 2.0925, 2.0974999999999997, 2.095, 2.2325,\n                         2.2225, 2.21, 2.015, 2.0225, 1.795, 1.7875, 1.765, 1.7574999999999998, 1.8225, 1.8, 1.615,\n                         1.725, 1.71, 1.8225, 1.7874999999999999, 1.7525, 1.7325, 1.8425, 1.8475, 1.9075, 1.975, 1.965,\n                         1.9725, 1.945, 1.945, 1.98, 1.97, 1.9575, 2.0425, 2.0225, 2.025, 2.025, 2.105, 1.7675, 1.75,\n                         1.7775, 1.7750000000000001, 1.8050000000000002, 1.78, 1.7625, 1.7850000000000001, 1.81, 1.8025,\n                         1.8775, 1.965, 1.9925, 1.97, 1.9175, 1.935, 1.9625, 1.9525000000000001, 1.805, 1.7875, 1.825,\n                         1.8074999999999999, 1.86, 1.805, 1.89, 1.8875000000000002, 1.875, 1.9575, 1.8175, 1.795,\n                         1.8599999999999999, 1.855, 1.7850000000000001, 1.87, 1.8624999999999998, 1.8625, 1.8775,\n                         1.8525, 1.8625, 2.0, 2.025, 2.0225, 2.0425, 2.0575, 2.0625, 2.0675, 1.9574999999999998, 1.9475,\n                         1.9725000000000001, 1.96, 1.9725000000000001, 1.9525000000000001, 1.0675000000000001, 1.1,\n                         2.0125, 2.0, 1.9925, 1.055, 1.1300000000000001, 2.035, 1.1525, 1.115, 1.165, 1.095, 1.1025,\n                         1.1125, 1.09]\nsecond_grid_unamb_3 = [60.0, 66.67, 70.27, 80.0, 79.03, 66.67, 65.71, 69.64, 65.0, 67.11, 66.29, 68.62, 67.01, 71.92,\n                       71.5, 67.86, 64.71, 64.9, 63.89, 65.64, 63.91, 68.42, 67.15, 65.87, 68.23, 66.67, 68.95, 70.92,\n                       73.62, 75.24, 75.9, 77.2, 77.2, 77.52, 77.52, 78.18, 78.5, 79.8, 80.13, 81.11, 81.76, 81.76,\n                       82.41, 83.06, 83.71, 84.36, 84.04, 83.39, 83.71, 84.04, 84.69, 85.02, 85.02, 85.02, 84.69, 85.34,\n                       85.34, 85.99, 85.99, 85.99, 85.99, 85.99, 86.32, 86.64, 86.97, 87.3, 87.3, 84.08, 84.39, 84.39,\n                       84.39, 84.08, 84.08, 84.08, 84.08, 84.08, 85.03, 85.03, 85.03, 85.35, 85.35, 85.35, 85.35, 85.99,\n                       85.99, 86.31, 86.62, 86.62, 86.62, 86.62, 86.62, 86.94, 86.94, 86.94, 86.94, 87.58, 87.58, 87.9,\n                       87.9, 87.9, 87.9, 87.9, 88.22, 88.22, 88.54, 88.54, 88.22, 88.54, 88.54, 88.85, 88.85, 88.85,\n                       89.17, 89.17, 89.49, 89.49, 89.49, 89.81, 89.81, 89.81, 89.81, 89.81, 89.81, 89.81, 89.81, 90.13,\n                       89.81, 89.81, 89.81, 89.81, 89.81, 89.81, 90.13, 90.13, 90.13, 90.13, 90.13, 90.13, 90.45, 90.45,\n                       90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.45, 90.76, 90.76, 90.76, 90.76, 90.76, 90.76,\n                       91.08, 91.08, 91.08, 91.08, 91.08, 91.08, 91.08, 91.08, 91.08, 91.08, 91.08, 91.08, 91.08, 91.08,\n                       91.08, 90.76, 90.45, 88.54, 90.76, 91.08, 91.08, 91.08, 91.08, 91.08, 91.08, 91.08, 91.4, 91.4,\n                       91.4, 91.72, 91.72, 91.72, 91.72, 91.72, 91.72, 91.72, 91.72, 91.72, 91.4, 91.4, 91.4, 91.72,\n                       91.72, 91.72, 91.72, 91.4, 91.4, 91.4, 91.4, 91.4, 91.4, 91.4, 91.4, 91.4, 91.4, 91.4, 91.4,\n                       91.4, 91.72, 91.72, 91.72, 92.04, 91.72, 91.72, 91.72, 92.04, 92.04, 92.04, 92.04, 92.04, 92.04,\n                       92.04, 92.04, 92.04, 92.04, 92.04, 92.04, 92.04, 92.04, 92.04, 92.36, 92.68, 92.36, 92.36, 92.36,\n                       92.99, 92.68, 92.36, 92.99, 92.99, 93.31, 93.31, 93.31, 93.31, 93.31, 92.99]\n\nsecond_grid_max_err_mdp_1 = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,\n                             100, 100, 100, 100, 100, 100, 100, 97.43, 97.43, 90.84, 62.94, 62.91, 63.98, 66.71, 66.64,\n                             40.93, 43.14, 43.75, 22.0, 80.76, 83.9, 84.84, 84.59, 83.99, 84.62, 84.17, 85.44, 85.34,\n                             85.27, 79.08, 79.17, 43.98, 37.44, 6.73, 5.35, 3.82, 2.69, 2.36, 2.24, 50.86, 50.78, 57.36,\n                             2.49, 2.37, 2.35, 2.22, 1.99, 70.4, 70.51, 70.85, 1.45, 1.34, 1.49, 1.65, 1.47, 1.34, 1.31,\n                             1.22, 1.26, 1.44, 1.47, 1.48, 1.73, 1.83, 2.03, 1.6, 1.47, 1.71, 1.42, 1.21, 1.08, 1.64,\n                             1.37, 1.28, 2.32, 2.64, 2.47, 2.45, 2.23, 31.97, 32.27, 32.15, 33.57, 33.67, 84.09, 84.12,\n                             84.31, 84.35, 84.31, 84.3, 85.35, 85.36, 85.36, 85.36, 85.37, 85.37, 85.37, 85.37, 85.35,\n                             84.36, 84.38, 84.38, 84.38, 84.31, 84.31, 84.27, 0.93, 29.5, 29.61, 29.61, 28.77, 28.43,\n                             28.53, 28.35, 28.21, 1.36, 1.43, 1.44, 1.39, 6.22, 6.22, 6.19, 6.13, 6.02, 6.02, 5.93,\n                             5.89, 5.9, 5.88, 5.89, 5.94, 5.94, 5.91, 6.02, 5.98, 5.96, 5.88, 5.89, 5.82, 5.77, 5.77,\n                             5.77, 5.76, 5.76, 5.8, 5.76, 5.72, 5.74, 5.73, 5.71, 5.72, 5.7, 5.63, 5.68, 5.62, 5.56,\n                             5.53, 5.56, 5.55, 5.49, 5.5, 5.39, 5.28, 5.31, 5.28, 5.69, 5.71, 5.67, 5.65, 5.65, 5.54,\n                             5.44, 5.35, 5.31, 5.32, 5.27, 5.24, 5.2, 5.16, 5.48, 5.47, 5.51, 5.54, 5.49, 5.51, 5.47,\n                             5.49, 5.42, 5.37, 5.38, 5.35, 5.28, 5.26, 5.25, 5.23, 5.2, 5.24, 5.18, 5.19, 5.18, 5.16,\n                             5.14, 5.13, 5.08, 5.06, 5.04, 5.01, 5.0, 4.97, 4.96, 4.95, 5.24, 5.23, 5.18, 5.16, 5.09,\n                             5.06, 5.01, 5.04, 5.03, 5.05, 5.37, 5.35, 5.3, 5.28, 5.31, 5.33, 5.31, 5.27, 5.31, 5.66,\n                             5.66]\nsecond_grid_avr_err_mdp_1 = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,\n                             100, 100, 100, 100, 100, 100, 100, 63.3325, 65.7775, 54.9275, 23.9625, 25.217499999999998,\n                             32.199999999999996, 35.4375, 29.517500000000002, 23.5125, 21.87, 22.445, 12.545, 27.425,\n                             25.8425, 27.2275, 32.205, 29.0325, 32.825, 32.2825, 31.4275, 30.295, 30.2025, 27.37,\n                             27.4775, 14.165, 12.7975, 3.3625, 2.9425, 2.3525, 1.8025, 1.5325, 1.6675, 14.0725, 14.17,\n                             15.655, 2.065, 1.585, 1.57, 1.57, 1.175, 17.990000000000002, 18.1125, 18.07, 1.035, 0.9875,\n                             1.0325, 1.0975, 1.055, 0.92, 0.8624999999999999, 0.78, 0.89, 1.0175, 1.095, 1.12, 1.3775,\n                             1.3725, 1.56, 0.725, 0.6025, 0.6325, 0.6, 0.585, 0.5575, 0.6475, 0.5225000000000001,\n                             0.4975, 0.7525, 0.8575, 0.8350000000000001, 0.8475, 0.78, 8.219999999999999,\n                             8.315000000000001, 8.3325, 8.6425, 11.11, 24.5, 24.5975, 24.657500000000002, 24.7425,\n                             24.68, 24.6575, 25.325, 25.4125, 25.482499999999998, 25.5325, 25.565, 25.4475,\n                             25.477500000000003, 25.545, 25.32, 24.7625, 24.805, 24.862499999999997, 24.8475, 24.68,\n                             24.69, 24.732499999999998, 0.47000000000000003, 7.5975, 7.625, 7.6225, 7.415, 7.545,\n                             7.5600000000000005, 7.550000000000001, 7.49, 0.74, 0.73, 0.7175, 0.745, 2.205, 2.2375,\n                             2.27, 2.275, 2.2475, 2.2175, 2.255, 2.2375, 2.2375000000000003, 2.225, 2.205,\n                             2.1975000000000002, 2.1825, 2.255, 2.3625, 2.3475, 2.3475, 2.2875, 2.3175, 2.39, 2.36,\n                             2.3325, 2.295, 2.3375, 2.35, 2.3575, 2.36, 2.3125, 2.3425000000000002, 2.42, 2.3375, 2.33,\n                             2.27, 2.23, 2.1475, 2.1575, 2.1475, 2.17, 2.1174999999999997, 2.105, 2.1, 2.09, 2.1075,\n                             2.1350000000000002, 2.1125, 2.1325000000000003, 2.215, 2.1875, 2.26, 2.2725, 2.2125, 2.2,\n                             2.21, 2.1625, 2.155, 2.12, 2.08, 2.0925000000000002, 2.0775, 2.095, 2.15, 2.185,\n                             2.1774999999999998, 2.205, 2.21, 2.2125, 2.2675, 2.2, 2.18, 2.15, 2.13, 2.15, 2.1075,\n                             2.0875, 2.12, 2.14, 2.1175, 2.1075, 2.1525, 2.185, 2.1799999999999997, 2.1675, 2.19, 2.215,\n                             2.2475, 2.2475, 2.2225, 2.21, 2.1925, 2.1925, 2.185, 2.1975000000000002, 2.245,\n                             2.2975000000000003, 2.2625, 2.2825, 2.2975, 2.3375, 2.3024999999999998, 2.2575, 2.2775,\n                             2.3, 2.365, 2.38, 2.3674999999999997, 2.3875, 2.3449999999999998, 2.305, 2.3125,\n                             2.3049999999999997, 2.2475, 2.2875, 2.3225000000000002]\nsecond_grid_unamb_mdp_1 = [80.0, 74.29, 77.59, 82.28, 72.28, 73.83, 69.84, 72.54, 70.2, 75.62, 77.5, 79.04, 75.28,\n                           58.46, 62.56, 65.2, 71.81, 73.68, 75.95, 74.39, 73.18, 74.55, 68.44, 73.31, 74.78, 75.7,\n                           70.35, 68.13, 71.83, 72.03, 73.4, 73.22, 76.6, 75.23, 75.69, 76.59, 77.1, 76.51, 77.85,\n                           76.79, 71.01, 76.29, 79.57, 80.86, 80.0, 79.92, 81.42, 77.44, 78.46, 79.47, 80.28, 80.89,\n                           81.5, 82.11, 82.32, 82.52, 83.13, 83.54, 83.94, 84.96, 85.16, 85.57, 86.38, 86.99, 86.59,\n                           86.99, 86.99, 86.14, 86.55, 86.75, 87.15, 87.15, 88.15, 88.35, 88.35, 88.55, 88.76, 88.76,\n                           89.16, 89.36, 89.38, 89.78, 90.18, 90.38, 90.58, 90.58, 90.58, 90.58, 90.98, 91.38, 91.58,\n                           91.58, 89.88, 90.08, 90.28, 91.07, 91.07, 91.07, 91.27, 91.67, 91.67, 87.52, 87.52, 88.11,\n                           88.11, 88.11, 88.11, 88.3, 88.5, 88.5, 88.69, 88.69, 89.11, 89.3, 88.91, 88.91, 89.3, 89.3,\n                           89.3, 89.3, 89.3, 89.3, 89.3, 89.3, 89.3, 89.3, 89.69, 89.69, 90.08, 90.08, 90.08, 90.08,\n                           90.08, 90.08, 90.08, 90.08, 90.08, 90.08, 90.08, 90.27, 90.27, 90.66, 86.83, 87.02, 87.21,\n                           87.4, 87.6, 87.98, 88.17, 88.17, 87.98, 88.17, 88.17, 88.17, 88.36, 88.55, 88.55, 88.55,\n                           88.55, 88.55, 88.55, 88.74, 88.74, 88.55, 88.74, 88.74, 89.12, 89.12, 89.12, 89.5, 89.5,\n                           89.5, 89.31, 89.31, 89.31, 89.31, 89.31, 89.31, 89.31, 89.31, 89.31, 89.5, 89.5, 89.69,\n                           89.89, 89.69, 89.69, 89.69, 89.69, 89.69, 89.69, 89.69, 89.69, 89.89, 89.89, 89.89, 89.89,\n                           89.89, 89.89, 89.89, 89.89, 89.89, 92.37, 92.61, 92.61, 92.61, 92.61, 92.61, 92.61, 92.61,\n                           92.61, 92.61, 92.8, 92.8, 92.8, 92.8, 93.0, 93.0, 93.0, 93.0, 93.0, 93.0, 93.0, 93.0, 93.0,\n                           92.8, 92.94, 93.19, 93.19, 93.19, 93.19, 93.39, 93.39, 93.39, 93.39, 93.39, 93.39, 93.39,\n                           93.39, 93.39, 93.58, 93.39, 93.97, 93.97, 93.97, 93.97, 93.77, 93.77, 93.77, 93.77]\n\nsecond_grid_max_err_mdp_2 = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,\n                             100, 100, 100, 97.43, 97.43, 81.02, 82.12, 90.06, 87.85, 77.77, 55.47, 80.41, 71.61, 70.24,\n                             63.23, 63.43, 65.83, 64.43, 64.26, 61.59, 62.82, 62.9, 60.64, 59.49, 59.59, 59.61, 59.61,\n                             58.67, 57.58, 58.2, 5.67, 5.21, 5.06, 4.63, 4.91, 5.2, 4.66, 4.27, 4.42, 4.08, 4.32, 4.66,\n                             4.68, 4.53, 4.12, 4.6, 4.37, 4.31, 4.1, 3.87, 4.35, 4.54, 4.59, 4.75, 4.72, 3.31, 3.11,\n                             2.85, 2.76, 2.41, 2.24, 3.6, 3.51, 3.49, 3.6, 3.57, 3.57, 3.69, 3.74, 3.64, 3.58, 3.56,\n                             3.46, 3.4, 3.34, 3.3, 3.36, 3.19, 3.23, 3.21, 3.29, 3.21, 3.4, 3.42, 3.39, 3.33, 3.29,\n                             3.24, 3.88, 3.92, 4.06, 4.05, 4.08, 4.05, 4.04, 3.93, 4.08, 4.17, 4.29, 4.28, 4.3, 4.38,\n                             4.54, 4.59, 4.55, 4.66, 4.62, 4.78, 4.71, 4.73, 4.72, 4.8, 4.74, 4.81, 4.85, 4.96, 4.97,\n                             4.93, 4.89, 4.9, 4.9, 4.88, 4.77, 4.76, 4.83, 4.81, 4.77, 4.73, 4.66, 4.61, 4.58, 4.52,\n                             4.44, 4.35, 4.35, 4.38, 4.42, 4.3, 4.38, 4.32, 4.35, 4.37, 4.39, 4.44, 4.47, 4.32, 4.3,\n                             4.31, 4.31, 4.28, 5.13, 5.19, 5.23, 5.24, 5.23, 5.23, 5.23, 5.16, 5.16, 5.21, 5.32, 5.29,\n                             5.32, 5.47, 5.42, 5.4, 5.54, 5.59, 5.52, 1.74, 0.6, 0.59, 0.58, 0.59, 60.12, 60.62, 1.07,\n                             1.27, 0.58, 0.56, 0.76, 0.88, 0.76, 0.71, 0.94, 0.79, 0.67, 0.91, 0.98, 0.85, 0.76, 0.74,\n                             0.73, 0.67, 0.64, 0.7, 0.81, 0.9, 0.87, 0.97, 0.89, 1.0, 0.93, 0.96, 1.04, 1.15, 1.1, 1.09,\n                             1.11, 1.09, 1.07, 1.14, 1.13, 1.03, 0.96, 0.87, 0.85, 1.07, 1.01, 0.95, 0.9, 0.83, 1.02,\n                             0.87, 0.75, 0.7, 0.67, 1.53, 0.9, 0.83, 0.78, 0.97]\nsecond_grid_avr_err_mdp_2 = [100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100,\n                             100, 100, 100, 61.695, 66.6725, 54.12, 39.347500000000004, 42.305, 37.8925, 26.1875,\n                             26.7275, 34.762499999999996, 34.05, 38.72, 36.715, 28.905, 23.6325, 22.150000000000002,\n                             22.365000000000002, 20.5425, 21.535, 21.265, 16.767500000000002, 16.5425, 16.575, 16.445,\n                             16.5625, 16.3325, 15.9725, 16.075, 2.985, 2.8025, 2.1599999999999997, 1.89,\n                             1.7650000000000001, 1.8125, 1.705, 1.3224999999999998, 1.3675, 1.185, 1.23, 1.3, 1.2925,\n                             1.615, 1.5875000000000001, 1.67, 1.55, 1.595, 1.4675, 1.6125, 2.215, 2.3375, 2.5225, 2.54,\n                             2.455, 1.7725, 1.825, 1.5775, 1.3775, 1.22, 1.1400000000000001, 1.5050000000000001, 1.42,\n                             1.4125, 1.505, 1.5, 1.52, 1.5625, 1.58, 1.4975, 1.3825, 1.36, 1.195, 1.0375, 1.085, 1.02,\n                             1.09, 1.155, 1.12, 1.2675, 1.2825, 1.28, 1.0725, 1.205, 1.2925, 1.28, 1.2675, 1.2925, 1.4,\n                             1.33, 1.3275, 1.3225, 1.3225, 1.325, 1.3125, 1.335, 1.5050000000000001, 1.47, 1.41, 1.385,\n                             1.3675, 1.4075, 1.51, 1.5425, 1.4825, 1.5975000000000001, 1.5350000000000001,\n                             1.6800000000000002, 1.575, 1.57, 1.5725, 1.5699999999999998, 1.53, 1.6024999999999998,\n                             1.6749999999999998, 1.705, 1.7275, 1.6624999999999999, 1.5775, 1.5750000000000002, 1.53,\n                             1.5, 1.4474999999999998, 1.4425, 1.4925, 1.505, 1.4725, 1.4300000000000002,\n                             1.3900000000000001, 1.36, 1.33, 1.2674999999999998, 1.26, 1.2374999999999998, 1.22, 1.23,\n                             1.24, 1.205, 1.2349999999999999, 1.2175, 1.2225, 1.2275, 1.2525, 1.2825000000000002, 1.29,\n                             1.25, 1.26, 1.315, 1.3375, 1.3425, 1.54, 1.5425, 1.5525, 1.5225, 1.5050000000000001,\n                             1.5075, 1.485, 1.46, 1.46, 1.4725, 1.49, 1.4875, 1.5150000000000001, 1.555, 1.53,\n                             1.5025000000000002, 1.5375, 1.57, 1.5299999999999998, 0.595, 0.305, 0.295, 0.285, 0.285,\n                             16.2025, 16.419999999999998, 0.435, 0.4775, 0.3575, 0.385, 0.505, 0.5075, 0.4775,\n                             0.46499999999999997, 0.57, 0.4925, 0.44000000000000006, 0.385, 0.3475, 0.325, 0.28, 0.285,\n                             0.345, 0.3425, 0.355, 0.365, 0.36, 0.3725, 0.3725, 0.355, 0.3, 0.3325, 0.3025, 0.31, 0.305,\n                             0.3075, 0.335, 0.3325, 0.36750000000000005, 0.35000000000000003, 0.3775, 0.43, 0.4225,\n                             0.405, 0.4125, 0.36, 0.4, 0.435, 0.355, 0.32, 0.2925, 0.295, 0.3575, 0.335, 0.275, 0.255,\n                             0.23500000000000001, 0.595, 0.3275, 0.385, 0.395, 0.445]\nsecond_grid_unamb_mdp_2 = [80.0, 71.43, 70.97, 73.75, 73.0, 66.67, 59.44, 64.24, 69.81, 67.43, 64.1, 64.84, 72.52,\n                           74.37, 72.84, 69.85, 68.44, 72.26, 70.99, 71.39, 72.36, 68.88, 74.67, 75.73, 75.82, 72.3,\n                           74.24, 77.39, 77.05, 73.17, 77.37, 78.85, 76.05, 77.05, 72.5, 79.61, 81.44, 82.24, 82.63,\n                           83.23, 83.03, 83.43, 83.63, 83.63, 83.83, 82.84, 84.22, 85.4, 85.8, 86.79, 87.57, 88.36,\n                           89.55, 89.55, 90.34, 90.34, 90.53, 90.53, 90.73, 90.93, 91.12, 91.12, 91.32, 91.32, 91.32,\n                           91.72, 91.72, 91.91, 92.31, 92.5, 92.31, 92.31, 92.5, 93.1, 93.1, 93.1, 93.49, 93.29, 92.25,\n                           93.69, 93.69, 93.89, 93.89, 93.89, 93.89, 93.89, 93.89, 94.08, 89.65, 89.65, 89.45, 91.35,\n                           93.58, 94.67, 94.67, 94.87, 94.87, 94.87, 94.87, 94.87, 94.87, 94.87, 94.87, 94.87, 94.87,\n                           95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 95.07,\n                           95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 95.07, 94.87, 90.47, 90.47, 90.47,\n                           90.66, 90.66, 90.86, 90.86, 90.86, 90.86, 91.05, 91.05, 91.05, 91.25, 91.44, 91.25, 88.31,\n                           88.34, 90.25, 91.63, 91.83, 92.02, 92.02, 92.02, 92.02, 92.02, 92.02, 91.83, 90.63, 92.02,\n                           92.02, 92.02, 92.02, 92.02, 92.02, 92.02, 92.02, 92.02, 92.02, 92.02, 92.22, 92.41, 92.61,\n                           92.41, 91.73, 92.22, 91.01, 92.41, 92.8, 92.8, 92.8, 92.8, 92.8, 92.8, 93.0, 92.8, 92.8,\n                           93.0, 92.8, 92.8, 92.13, 93.19, 93.19, 93.0, 91.94, 89.6, 89.98, 90.17, 90.36, 90.36, 90.55,\n                           90.36, 90.36, 90.36, 91.68, 92.51, 90.55, 92.44, 93.28, 93.28, 93.47, 93.47, 93.28, 91.3,\n                           91.3, 92.63, 93.67, 93.67, 93.47, 93.67, 93.67, 93.67, 93.86, 93.67, 93.67, 93.86, 93.67,\n                           93.86, 93.86, 93.86, 93.86, 94.05, 93.86, 93.86, 93.86, 94.05, 94.05, 94.05, 94.05, 94.05,\n                           94.24, 94.24, 94.24, 94.24, 94.24, 94.24, 94.24, 94.05, 93.56, 94.43, 94.24, 94.43, 94.05]\n\ndef single_plot():\n    matplotlib.use(\"pgf\")\n    matplotlib.rcParams.update({\n        \"pgf.texsystem\": \"pdflatex\",\n        'font.family': 'serif',\n        'text.usetex': True,\n        'pgf.rcfonts': False,\n    })\n\n    r = list(range(len(second_grid_max_err_2)))\n    # plt.plot(r, second_grid_max_err_2, label = 'max_error_%')\n    # plt.plot(r, second_grid_avr_err_2, label = 'avr_error_%')\n    # plt.plot(r, second_grid_unamb_2, label='unamb_%')\n\n    plt.plot(r, mqtt_max_err_1, label='Maximum Error')\n    plt.plot(r, mqtt_avr_err_1, label='Average Error')\n    plt.plot(r, mqtt_unamb_1, label='Unambiguous Rows')\n\n\n    # second_grid_avr_err_2 looks nice\n    # plt.plot(r, [100 - r for r in second_grid_unamb_2], label='unamb_%')\n    plt.ylabel('Percentage')\n    plt.xlabel('Learning Round')\n    plt.title('MQTT')\n\n    plt.grid(axis='y')\n    plt.legend()\n    #plt.show()\n\n    plt.savefig(\"stoppingAndUnamb_mqtt.pgf\")\n\n    import tikzplotlib\n\n    tikzplotlib.save(\"stoppingAndUnamb_mqtt.tex\")\n\n\ndef side_by_side():\n\n    matplotlib.use(\"pgf\")\n    matplotlib.rcParams.update({\n        \"pgf.texsystem\": \"pdflatex\",\n        'font.family': 'serif',\n        'text.usetex': True,\n        'pgf.rcfonts': False,\n    })\n\n    r = list(range(len(second_grid_max_err_2)))\n    # plt.plot(r, second_grid_max_err_2, label = 'max_error_%')\n    # plt.plot(r, second_grid_avr_err_2, label = 'avr_error_%')\n    # plt.plot(r, second_grid_unamb_2, label='unamb_%')\n\n    fig, (plt1, plt2) = plt.subplots(1, 2, figsize=(10, 3))\n\n    plt1.plot_side_by_side()\n    plt1.plot_side_by_side()\n    plt1.plot_side_by_side()\n\n    # second_grid_avr_err_2 looks nice\n    # plt.plot(r, [100 - r for r in second_grid_unamb_2], label='unamb_%')\n    plt1.set_ylabel('Percentage')\n    plt1.set_xlabel('Learning Round')\n    plt1.set_title('72 State Gridworld')\n\n    plt1.grid(axis='y')\n    plt1.legend()\n\n    plt2.plot_side_by_side()\n    plt2.plot_side_by_side()\n    plt2.plot_side_by_side()\n\n    # second_grid_avr_err_2 looks nice\n    # plt.plot(r, [100 - r for r in second_grid_unamb_2], label='unamb_%')\n    plt2.set_ylabel('Percentage')\n    plt2.set_xlabel('Learning Round')\n    plt2.set_title('MQTT')\n\n    plt2.grid(axis='y')\n    plt2.legend()\n    # plt.show()\n    fig.tight_layout()\n\n    fig.savefig(\"stoppingAndUnamb2plots.pgf\")\n\n    import tikzplotlib\n\n    tikzplotlib.save(\"stoppingAndUnamb2plots.tex\")\n\nif __name__ == '__main__':\n    side_by_side()"
  },
  {
    "path": "Benchmarking/vpa_benchmarking/benchmark_vpa.py",
    "content": "from collections import defaultdict\n\nimport matplotlib.pyplot as plt\nimport numpy as np\nimport pickle\n\nfrom aalpy.SULs.AutomataSUL import SevpaSUL, DfaSUL\nfrom aalpy.automata import SevpaAlphabet\nfrom aalpy.learning_algs import run_KV\nfrom aalpy.oracles import RandomWordEqOracle\nfrom aalpy.utils import generate_random_sevpa, visualize_automaton\nfrom aalpy.utils.BenchmarkVpaModels import *\n\n\ndef state_increasing():\n    print(\"Benchmarking for increasing state size\")\n    max_number_states = 100\n    step_size = 10\n    repeats = 10\n\n    cex_processing = ['rs', 'linear_fwd', 'linear_bwd', 'exponential_fwd', 'exponential_bwd']\n    # cex_processing = ['rs']\n    data_dict = defaultdict(tuple)\n\n    for cex in cex_processing:\n        states_data_median = []\n        query_data_median = []\n        for number_states in range(10, max_number_states + 1, step_size):\n            print(number_states)\n            states_data = []\n            query_data = []\n            for x in range(repeats):\n                random_svepa = generate_random_sevpa(num_states=number_states, internal_alphabet_size=3,\n                                                     call_alphabet_size=3,\n                                                     return_alphabet_size=3,\n                                                     acceptance_prob=0.4,\n                                                     return_transition_prob=0.5)\n\n                alphabet = random_svepa.input_alphabet\n\n                sul = SevpaSUL(random_svepa)\n\n                eq_oracle = RandomWordEqOracle(alphabet=alphabet.get_merged_alphabet(), sul=sul, num_walks=10000,\n                                               min_walk_len=10, max_walk_len=30)\n\n                model, data = run_KV(alphabet=alphabet, sul=sul, eq_oracle=eq_oracle, automaton_type='vpa',\n                                     print_level=0, cex_processing=cex, return_data=True)\n                states_data.append(number_states)\n                query_data.append(data['queries_learning'])\n\n            states_data_median.append(np.median(states_data))\n            query_data_median.append(np.median(query_data))\n\n        data_dict[cex] = (states_data_median, query_data_median)\n\n    # Save data_dict to a pickle file\n    with open('state_increasing.pickle', 'wb') as file:\n        pickle.dump(data_dict, file)\n\n    # plot\n    plt.figure()\n    plt.xlabel('Number of states')\n    plt.ylabel('Number of membership queries')\n    plt.title('Query growth of a random SEVPA with increasing state size')\n    for key in data_dict:\n        plt.plot(data_dict[key][0], data_dict[key][1], label=key)\n    plt.legend()\n    plt.savefig('state_increasing.png')\n\n\ndef alphabet_increasing():\n    print(\"Benchmarking for increasing alphabet size\")\n    repeats = 10\n    max_alphabet_size = 15\n\n    cex_processing = ['rs', 'linear_fwd', 'linear_bwd', 'exponential_fwd', 'exponential_bwd']\n    # cex_processing = ['rs']\n    data_dict = defaultdict(tuple)\n\n    for cex in cex_processing:\n        states_data_median = []\n        query_data_median = []\n        for alphabet_size in range(1, max_alphabet_size):\n            print(alphabet_size)\n            for x in range(repeats):\n                random_svepa = generate_random_sevpa(num_states=100, internal_alphabet_size=alphabet_size,\n                                                     call_alphabet_size=alphabet_size,\n                                                     return_alphabet_size=alphabet_size,\n                                                     acceptance_prob=0.4,\n                                                     return_transition_prob=0.5)\n\n                alphabet = random_svepa.input_alphabet\n\n                sul = SevpaSUL(random_svepa)\n\n                eq_oracle = RandomWordEqOracle(alphabet=alphabet.get_merged_alphabet(), sul=sul, num_walks=10000,\n                                               min_walk_len=10, max_walk_len=30)\n\n                states_data = []\n                query_data = []\n                model, data = run_KV(alphabet=alphabet, sul=sul, eq_oracle=eq_oracle, automaton_type='vpa',\n                                     print_level=0, cex_processing=cex, return_data=True)\n                states_data.append(alphabet_size * 3)\n                query_data.append(data['queries_learning'])\n\n            states_data_median.append(np.median(states_data))\n            query_data_median.append(np.median(query_data))\n\n        data_dict[cex] = (states_data_median, query_data_median)\n\n    # Save data_dict to a pickle file\n    with open('alphabet_increasing.pickle', 'wb') as file:\n        pickle.dump(data_dict, file)\n\n    # plot\n    plt.figure()\n    plt.xlabel('Size of the input alphabet')\n    plt.ylabel('Number of membership queries')\n    plt.title('Query growth of a random SEVPA with increasing alphabet size')\n    for key in data_dict:\n        plt.plot(data_dict[key][0], data_dict[key][1], label=key)\n    plt.legend()\n    plt.savefig('alphabet_increasing.png')\n\n\ndef alphabet_increasing_variable():\n    print(\"Benchmarking for variably increasing alphabet size\")\n    repeats = 10\n    max_alphabet_size = 15\n\n    data_dict = defaultdict(tuple)\n    alphabet_types = ['int', 'call', 'ret']\n\n    for alphabet_type in alphabet_types:\n        states_data_median = []\n        query_data_median = []\n        for alphabet_size in range(1, max_alphabet_size):\n            print(alphabet_size)\n            for x in range(repeats):\n                if alphabet_type == 'int':\n                    random_svepa = generate_random_sevpa(num_states=100, internal_alphabet_size=alphabet_size,\n                                                         call_alphabet_size=1,\n                                                         return_alphabet_size=1,\n                                                         acceptance_prob=0.4,\n                                                         return_transition_prob=0.5)\n                elif alphabet_type == 'call':\n                    random_svepa = generate_random_sevpa(num_states=100, internal_alphabet_size=alphabet_size,\n                                                         call_alphabet_size=1,\n                                                         return_alphabet_size=1,\n                                                         acceptance_prob=0.4,\n                                                         return_transition_prob=0.5)\n                elif alphabet_type == 'ret':\n                    random_svepa = generate_random_sevpa(num_states=100, internal_alphabet_size=alphabet_size,\n                                                         call_alphabet_size=1,\n                                                         return_alphabet_size=1,\n                                                         acceptance_prob=0.4,\n                                                         return_transition_prob=0.5)\n\n                alphabet = random_svepa.input_alphabet\n\n                sul = SevpaSUL(random_svepa)\n\n                eq_oracle = RandomWordEqOracle(alphabet=alphabet.get_merged_alphabet(), sul=sul, num_walks=10000,\n                                               min_walk_len=10, max_walk_len=30)\n\n                states_data = []\n                query_data = []\n                model, data = run_KV(alphabet=alphabet, sul=sul, eq_oracle=eq_oracle, automaton_type='vpa',\n                                     print_level=0, cex_processing='rs', return_data=True)\n                states_data.append(alphabet_size)\n                query_data.append(data['queries_learning'])\n\n            states_data_median.append(np.median(states_data))\n            query_data_median.append(np.median(query_data))\n\n        data_dict[alphabet_type] = (states_data_median, query_data_median)\n\n    # Save data_dict to a pickle file\n    with open('alphabet_increasing_variable.pickle', 'wb') as file:\n        pickle.dump(data_dict, file)\n\n    # plot\n    plt.figure()\n    plt.xlabel('Size of the input alphabet')\n    plt.ylabel('Number of membership queries')\n    plt.title('Query growth of a random SEVPA with increasing alphabet size')\n    for key in data_dict:\n        plt.plot(data_dict[key][0], data_dict[key][1], label=key)\n    plt.legend()\n    plt.savefig('alphabet_increasing_variable.png')\n\n\ndef benchmark_vpa_dfa():\n    max_learning_rounds = 100\n    data_dict = defaultdict(tuple)\n    label_data = []\n\n    for i, vpa in enumerate(\n            [vpa_L1(), vpa_L2(), vpa_for_L3(), vpa_L3(), vpa_for_L5(), vpa_L4(), vpa_L6(),\n             vpa_L8(), vpa_for_L10(), vpa_for_L11(), vpa_L9(), vpa_L10(), vpa_L11(), vpa_L12()]):\n        print(f'VPA {i + 1 if i < 6 else i + 2}')\n        label_data.append(f'VPA {i + 1 if i < 6 else i + 2}')\n\n        model_under_learning = vpa\n\n        alphabet_sevpa = SevpaAlphabet(list(model_under_learning.internal_set),\n                                       list(model_under_learning.call_set),\n                                       list(model_under_learning.return_set))\n\n        alphabet_dfa = model_under_learning.input_alphabet.get_merged_alphabet()\n\n        sul_vpa = VpaSUL(vpa)\n        sul_dfa = DfaSUL(vpa)\n\n        eq_oracle_vpa = RandomWordEqOracle(alphabet=alphabet_sevpa.get_merged_alphabet(), sul=sul_vpa, num_walks=10000,\n                                       min_walk_len=10, max_walk_len=30)\n        eq_oracle_dfa = RandomWordEqOracle(alphabet=alphabet_sevpa.get_merged_alphabet(), sul=sul_vpa, num_walks=10000,\n                                       min_walk_len=10, max_walk_len=30)\n\n        model_vpa, data_vpa = run_KV(alphabet=alphabet_sevpa, sul=sul_vpa, eq_oracle=eq_oracle_vpa, automaton_type='vpa',\n                                     print_level=0, cex_processing='rs', return_data=True,\n                                     max_learning_rounds=max_learning_rounds)\n\n        model_dfa, data_dfa = run_KV(alphabet=alphabet_dfa, sul=sul_dfa, eq_oracle=eq_oracle_dfa, automaton_type='dfa',\n                                     print_level=0, cex_processing='rs', return_data=True,\n                                     max_learning_rounds=max_learning_rounds)\n\n        print(data_dfa['queries_learning'])\n\n        data_dict[vpa] = (data_vpa['queries_learning'], data_dfa['queries_learning'])\n\n\n    # Save data_dict to a pickle file\n    with open('benchmark_vpa_dfa.pickle', 'wb') as file:\n        pickle.dump(data_dict, file)\n\n    #plotting\n    keys = list(data_dict.keys())\n    values = list(data_dict.values())\n    data1, data2 = zip(*values)\n\n    # Creating bar graph\n    bar_width = 0.35\n    index = np.arange(len(keys))\n    plt.bar(index, data1, bar_width, label='Data VPA', align='center')\n    plt.bar(index + bar_width, data2, bar_width, label='Data DFA', align='center')\n\n    plt.xlabel('VPA Instances')\n    plt.ylabel('Number of Queries')\n    plt.title('Bar Graph of Queries for VPA and DFA')\n    plt.xticks(index + bar_width / 2, label_data)\n    plt.legend()\n    plt.show()\n\n\n# choose which benchmark to execute\nstate_increasing()\nalphabet_increasing()\nalphabet_increasing_variable()\nbenchmark_vpa_dfa()\n"
  },
  {
    "path": "DotModels/Angluin_Mealy.dot",
    "content": "digraph Angluin_Mealy {\ns0 [label=\"s0\"];\ns1 [label=\"s1\"];\ns2 [label=\"s2\"];\ns3 [label=\"s3\"];\ns0 -> s2  [label=\"a/0\"];\ns0 -> s1  [label=\"b/0\"];\ns1 -> s3  [label=\"a/0\"];\ns1 -> s0  [label=\"b/1\"];\ns2 -> s0  [label=\"a/1\"];\ns2 -> s3  [label=\"b/0\"];\ns3 -> s1  [label=\"a/0\"];\ns3 -> s2  [label=\"b/0\"];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/Angluin_Moore.dot",
    "content": "digraph Angluin_Moore {\ns0 [label=\"s0|1\", shape=record, style=rounded];\ns1 [label=\"s1|0\", shape=record, style=rounded];\ns2 [label=\"s2|0\", shape=record, style=rounded];\ns3 [label=\"s3|0\", shape=record, style=rounded];\ns0 -> s2  [label=a];\ns0 -> s1  [label=b];\ns1 -> s3  [label=a];\ns1 -> s0  [label=b];\ns2 -> s0  [label=a];\ns2 -> s3  [label=b];\ns3 -> s1  [label=a];\ns3 -> s2  [label=b];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/Bluetooth/CC2640R2-no-feature-req.dot",
    "content": "digraph \"CC2640R2-no-feature\" {\ns0 [label=s0];\ns1 [label=s1];\ns2 [label=s2];\ns3 [label=s3];\ns4 [label=s4];\ns5 [label=s5];\ns6 [label=s6];\ns7 [label=s7];\ns8 [label=s8];\ns9 [label=s9];\ns10 [label=s10];\ns0 -> s0  [label=\"scan_req/Adv\"];\ns0 -> s1  [label=\"connection_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_REQ\"];\ns0 -> s0  [label=\"length_req/Empty\"];\ns0 -> s0  [label=\"length_rsp/Empty\"];\ns0 -> s0  [label=\"feature_rsp/Empty\"];\ns0 -> s0  [label=\"version_req/Empty\"];\ns0 -> s0  [label=\"mtu_req/Empty\"];\ns0 -> s0  [label=\"pairing_req/Empty\"];\ns1 -> s0  [label=\"scan_req/Adv\"];\ns1 -> s1  [label=\"connection_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_REQ\"];\ns1 -> s1  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns1 -> s4  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns1 -> s1  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns1 -> s3  [label=\"version_req/BTLE|BTLE_DATA\"];\ns1 -> s1  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns1 -> s2  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns2 -> s0  [label=\"scan_req/Adv\"];\ns2 -> s1  [label=\"connection_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_REQ\"];\ns2 -> s2  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns2 -> s8  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns2 -> s2  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns2 -> s7  [label=\"version_req/BTLE|BTLE_DATA\"];\ns2 -> s2  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns2 -> s1  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Failed|SM_Hdr\"];\ns3 -> s0  [label=\"scan_req/Adv\"];\ns3 -> s1  [label=\"connection_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_REQ\"];\ns3 -> s3  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns3 -> s6  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns3 -> s3  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns3 -> s5  [label=\"version_req/BTLE|BTLE_DATA\"];\ns3 -> s3  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns3 -> s7  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns4 -> s0  [label=\"scan_req/Adv\"];\ns4 -> s1  [label=\"connection_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_REQ\"];\ns4 -> s4  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns4 -> s4  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns4 -> s4  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns4 -> s6  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns4 -> s4  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns4 -> s8  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns5 -> s0  [label=\"scan_req/Adv\"];\ns5 -> s1  [label=\"connection_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_REQ\"];\ns5 -> s5  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns5 -> s6  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP|LL_VERSION_IND\"];\ns5 -> s5  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns5 -> s5  [label=\"version_req/BTLE|BTLE_DATA\"];\ns5 -> s5  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns5 -> s10  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns6 -> s0  [label=\"scan_req/Adv\"];\ns6 -> s1  [label=\"connection_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_REQ\"];\ns6 -> s6  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns6 -> s6  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns6 -> s6  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns6 -> s6  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns6 -> s6  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns6 -> s9  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns7 -> s0  [label=\"scan_req/Adv\"];\ns7 -> s1  [label=\"connection_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_REQ\"];\ns7 -> s7  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns7 -> s9  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns7 -> s7  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns7 -> s10  [label=\"version_req/BTLE|BTLE_DATA\"];\ns7 -> s7  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns7 -> s3  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Failed|SM_Hdr\"];\ns8 -> s0  [label=\"scan_req/Adv\"];\ns8 -> s1  [label=\"connection_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_REQ\"];\ns8 -> s8  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns8 -> s8  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns8 -> s8  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns8 -> s9  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns8 -> s8  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns8 -> s4  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Failed|SM_Hdr\"];\ns9 -> s0  [label=\"scan_req/Adv\"];\ns9 -> s1  [label=\"connection_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_REQ\"];\ns9 -> s9  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns9 -> s9  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns9 -> s9  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns9 -> s9  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns9 -> s9  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns9 -> s6  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Failed|SM_Hdr\"];\ns10 -> s0  [label=\"scan_req/Adv\"];\ns10 -> s1  [label=\"connection_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_REQ\"];\ns10 -> s10  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns10 -> s9  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP|LL_VERSION_IND\"];\ns10 -> s10  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns10 -> s10  [label=\"version_req/BTLE|BTLE_DATA\"];\ns10 -> s10  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns10 -> s5  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Failed|SM_Hdr\"];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/Bluetooth/CC2640R2-no-feature-req_stochastic.dot",
    "content": "digraph \"CC2640R2-no-feature-req-stochastic\" {\ns0 [label=init];\ns1 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_REQ\"];\ns2 [label=Empty];\ns3 [label=Adv];\ns4 [label=\"BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns5 [label=\"ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns6 [label=\"BTLE|BTLE_DATA\"];\ns7 [label=\"BTLE|BTLE_DATA\"];\ns8 [label=\"BTLE|BTLE_DATA\"];\ns9 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns10 [label=\"BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns11 [label=\"ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns12 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns13 [label=\"BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns14 [label=\"ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns15 [label=\"BTLE|BTLE_DATA\"];\ns16 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns17 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns18 [label=\"BTLE|BTLE_DATA|L2CAP_Hdr|SM_Failed|SM_Hdr\"];\ns19 [label=\"ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns20 [label=\"BTLE|BTLE_DATA\"];\ns21 [label=\"BTLE|BTLE_DATA\"];\ns22 [label=\"BTLE|BTLE_DATA\"];\ns23 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns24 [label=\"BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns25 [label=\"ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns26 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns27 [label=\"BTLE|BTLE_DATA\"];\ns28 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns29 [label=\"BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns30 [label=\"ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns31 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP|LL_VERSION_IND\"];\ns32 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns33 [label=\"BTLE|BTLE_DATA|L2CAP_Hdr|SM_Failed|SM_Hdr\"];\ns34 [label=\"ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns35 [label=\"BTLE|BTLE_DATA\"];\ns36 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns37 [label=\"BTLE|BTLE_DATA|L2CAP_Hdr|SM_Failed|SM_Hdr\"];\ns38 [label=\"ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns39 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns40 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns41 [label=\"BTLE|BTLE_DATA|L2CAP_Hdr|SM_Failed|SM_Hdr\"];\ns42 [label=\"ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns43 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP|LL_VERSION_IND\"];\ns44 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns45 [label=\"BTLE|BTLE_DATA|L2CAP_Hdr|SM_Failed|SM_Hdr\"];\ns46 [label=\"ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns47 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns48 [label=\"BTLE|BTLE_DATA\"];\ns49 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns0 -> s3  [label=\"scan_req:1.0\"];\ns0 -> s2  [label=\"length_req:1.0\"];\ns0 -> s2  [label=\"length_rsp:1.0\"];\ns0 -> s2  [label=\"feature_rsp:1.0\"];\ns0 -> s2  [label=\"version_req:1.0\"];\ns0 -> s0  [label=\"mtu_req:0.3\"];\ns0 -> s2  [label=\"mtu_req:0.7\"];\ns0 -> s0  [label=\"pairing_req:0.3\"];\ns0 -> s2  [label=\"pairing_req:0.7\"];\ns0 -> s1  [label=\"connection_req:1.0\"];\ns1 -> s3  [label=\"scan_req:1.0\"];\ns1 -> s9  [label=\"length_req:1.0\"];\ns1 -> s8  [label=\"length_rsp:1.0\"];\ns1 -> s7  [label=\"feature_rsp:1.0\"];\ns1 -> s6  [label=\"version_req:1.0\"];\ns1 -> s0  [label=\"mtu_req:0.3\"];\ns1 -> s5  [label=\"mtu_req:0.7\"];\ns1 -> s0  [label=\"pairing_req:0.3\"];\ns1 -> s4  [label=\"pairing_req:0.7\"];\ns1 -> s1  [label=\"connection_req:1.0\"];\ns2 -> s3  [label=\"scan_req:1.0\"];\ns2 -> s2  [label=\"length_req:1.0\"];\ns2 -> s2  [label=\"length_rsp:1.0\"];\ns2 -> s2  [label=\"feature_rsp:1.0\"];\ns2 -> s2  [label=\"version_req:1.0\"];\ns2 -> s0  [label=\"mtu_req:0.3\"];\ns2 -> s2  [label=\"mtu_req:0.7\"];\ns2 -> s0  [label=\"pairing_req:0.3\"];\ns2 -> s2  [label=\"pairing_req:0.7\"];\ns2 -> s1  [label=\"connection_req:1.0\"];\ns3 -> s3  [label=\"scan_req:1.0\"];\ns3 -> s2  [label=\"length_req:1.0\"];\ns3 -> s2  [label=\"length_rsp:1.0\"];\ns3 -> s2  [label=\"feature_rsp:1.0\"];\ns3 -> s2  [label=\"version_req:1.0\"];\ns3 -> s0  [label=\"mtu_req:0.3\"];\ns3 -> s2  [label=\"mtu_req:0.7\"];\ns3 -> s0  [label=\"pairing_req:0.3\"];\ns3 -> s2  [label=\"pairing_req:0.7\"];\ns3 -> s1  [label=\"connection_req:1.0\"];\ns4 -> s3  [label=\"scan_req:1.0\"];\ns4 -> s23  [label=\"length_req:1.0\"];\ns4 -> s22  [label=\"length_rsp:1.0\"];\ns4 -> s21  [label=\"feature_rsp:1.0\"];\ns4 -> s20  [label=\"version_req:1.0\"];\ns4 -> s0  [label=\"mtu_req:0.3\"];\ns4 -> s19  [label=\"mtu_req:0.7\"];\ns4 -> s0  [label=\"pairing_req:0.3\"];\ns4 -> s18  [label=\"pairing_req:0.7\"];\ns4 -> s1  [label=\"connection_req:1.0\"];\ns5 -> s3  [label=\"scan_req:1.0\"];\ns5 -> s9  [label=\"length_req:1.0\"];\ns5 -> s8  [label=\"length_rsp:1.0\"];\ns5 -> s7  [label=\"feature_rsp:1.0\"];\ns5 -> s6  [label=\"version_req:1.0\"];\ns5 -> s0  [label=\"mtu_req:0.3\"];\ns5 -> s5  [label=\"mtu_req:0.7\"];\ns5 -> s0  [label=\"pairing_req:0.3\"];\ns5 -> s4  [label=\"pairing_req:0.7\"];\ns5 -> s1  [label=\"connection_req:1.0\"];\ns6 -> s3  [label=\"scan_req:1.0\"];\ns6 -> s17  [label=\"length_req:1.0\"];\ns6 -> s16  [label=\"length_rsp:1.0\"];\ns6 -> s6  [label=\"feature_rsp:1.0\"];\ns6 -> s15  [label=\"version_req:1.0\"];\ns6 -> s0  [label=\"mtu_req:0.3\"];\ns6 -> s14  [label=\"mtu_req:0.7\"];\ns6 -> s0  [label=\"pairing_req:0.3\"];\ns6 -> s13  [label=\"pairing_req:0.7\"];\ns6 -> s1  [label=\"connection_req:1.0\"];\ns7 -> s3  [label=\"scan_req:1.0\"];\ns7 -> s9  [label=\"length_req:1.0\"];\ns7 -> s8  [label=\"length_rsp:1.0\"];\ns7 -> s7  [label=\"feature_rsp:1.0\"];\ns7 -> s6  [label=\"version_req:1.0\"];\ns7 -> s0  [label=\"mtu_req:0.3\"];\ns7 -> s5  [label=\"mtu_req:0.7\"];\ns7 -> s0  [label=\"pairing_req:0.3\"];\ns7 -> s4  [label=\"pairing_req:0.7\"];\ns7 -> s1  [label=\"connection_req:1.0\"];\ns8 -> s3  [label=\"scan_req:1.0\"];\ns8 -> s12  [label=\"length_req:1.0\"];\ns8 -> s8  [label=\"length_rsp:1.0\"];\ns8 -> s8  [label=\"feature_rsp:1.0\"];\ns8 -> s16  [label=\"version_req:1.0\"];\ns8 -> s0  [label=\"mtu_req:0.3\"];\ns8 -> s11  [label=\"mtu_req:0.7\"];\ns8 -> s0  [label=\"pairing_req:0.3\"];\ns8 -> s10  [label=\"pairing_req:0.7\"];\ns8 -> s1  [label=\"connection_req:1.0\"];\ns9 -> s3  [label=\"scan_req:1.0\"];\ns9 -> s9  [label=\"length_req:1.0\"];\ns9 -> s8  [label=\"length_rsp:1.0\"];\ns9 -> s7  [label=\"feature_rsp:1.0\"];\ns9 -> s6  [label=\"version_req:1.0\"];\ns9 -> s0  [label=\"mtu_req:0.3\"];\ns9 -> s5  [label=\"mtu_req:0.7\"];\ns9 -> s0  [label=\"pairing_req:0.3\"];\ns9 -> s4  [label=\"pairing_req:0.7\"];\ns9 -> s1  [label=\"connection_req:1.0\"];\ns10 -> s3  [label=\"scan_req:1.0\"];\ns10 -> s40  [label=\"length_req:1.0\"];\ns10 -> s22  [label=\"length_rsp:1.0\"];\ns10 -> s22  [label=\"feature_rsp:1.0\"];\ns10 -> s39  [label=\"version_req:1.0\"];\ns10 -> s0  [label=\"mtu_req:0.3\"];\ns10 -> s38  [label=\"mtu_req:0.7\"];\ns10 -> s0  [label=\"pairing_req:0.3\"];\ns10 -> s37  [label=\"pairing_req:0.7\"];\ns10 -> s1  [label=\"connection_req:1.0\"];\ns11 -> s3  [label=\"scan_req:1.0\"];\ns11 -> s12  [label=\"length_req:1.0\"];\ns11 -> s8  [label=\"length_rsp:1.0\"];\ns11 -> s8  [label=\"feature_rsp:1.0\"];\ns11 -> s16  [label=\"version_req:1.0\"];\ns11 -> s0  [label=\"mtu_req:0.3\"];\ns11 -> s11  [label=\"mtu_req:0.7\"];\ns11 -> s0  [label=\"pairing_req:0.3\"];\ns11 -> s10  [label=\"pairing_req:0.7\"];\ns11 -> s1  [label=\"connection_req:1.0\"];\ns12 -> s3  [label=\"scan_req:1.0\"];\ns12 -> s12  [label=\"length_req:1.0\"];\ns12 -> s8  [label=\"length_rsp:1.0\"];\ns12 -> s8  [label=\"feature_rsp:1.0\"];\ns12 -> s16  [label=\"version_req:1.0\"];\ns12 -> s0  [label=\"mtu_req:0.3\"];\ns12 -> s11  [label=\"mtu_req:0.7\"];\ns12 -> s0  [label=\"pairing_req:0.3\"];\ns12 -> s10  [label=\"pairing_req:0.7\"];\ns12 -> s1  [label=\"connection_req:1.0\"];\ns13 -> s3  [label=\"scan_req:1.0\"];\ns13 -> s36  [label=\"length_req:1.0\"];\ns13 -> s39  [label=\"length_rsp:1.0\"];\ns13 -> s20  [label=\"feature_rsp:1.0\"];\ns13 -> s35  [label=\"version_req:1.0\"];\ns13 -> s0  [label=\"mtu_req:0.3\"];\ns13 -> s34  [label=\"mtu_req:0.7\"];\ns13 -> s0  [label=\"pairing_req:0.3\"];\ns13 -> s33  [label=\"pairing_req:0.7\"];\ns13 -> s1  [label=\"connection_req:1.0\"];\ns14 -> s3  [label=\"scan_req:1.0\"];\ns14 -> s17  [label=\"length_req:1.0\"];\ns14 -> s16  [label=\"length_rsp:1.0\"];\ns14 -> s6  [label=\"feature_rsp:1.0\"];\ns14 -> s15  [label=\"version_req:1.0\"];\ns14 -> s0  [label=\"mtu_req:0.3\"];\ns14 -> s14  [label=\"mtu_req:0.7\"];\ns14 -> s0  [label=\"pairing_req:0.3\"];\ns14 -> s13  [label=\"pairing_req:0.7\"];\ns14 -> s1  [label=\"connection_req:1.0\"];\ns15 -> s3  [label=\"scan_req:1.0\"];\ns15 -> s32  [label=\"length_req:1.0\"];\ns15 -> s31  [label=\"length_rsp:1.0\"];\ns15 -> s15  [label=\"feature_rsp:1.0\"];\ns15 -> s15  [label=\"version_req:1.0\"];\ns15 -> s0  [label=\"mtu_req:0.3\"];\ns15 -> s30  [label=\"mtu_req:0.7\"];\ns15 -> s0  [label=\"pairing_req:0.3\"];\ns15 -> s29  [label=\"pairing_req:0.7\"];\ns15 -> s1  [label=\"connection_req:1.0\"];\ns16 -> s3  [label=\"scan_req:1.0\"];\ns16 -> s28  [label=\"length_req:1.0\"];\ns16 -> s27  [label=\"length_rsp:1.0\"];\ns16 -> s27  [label=\"feature_rsp:1.0\"];\ns16 -> s26  [label=\"version_req:1.0\"];\ns16 -> s0  [label=\"mtu_req:0.3\"];\ns16 -> s25  [label=\"mtu_req:0.7\"];\ns16 -> s0  [label=\"pairing_req:0.3\"];\ns16 -> s24  [label=\"pairing_req:0.7\"];\ns16 -> s1  [label=\"connection_req:1.0\"];\ns17 -> s3  [label=\"scan_req:1.0\"];\ns17 -> s17  [label=\"length_req:1.0\"];\ns17 -> s16  [label=\"length_rsp:1.0\"];\ns17 -> s6  [label=\"feature_rsp:1.0\"];\ns17 -> s15  [label=\"version_req:1.0\"];\ns17 -> s0  [label=\"mtu_req:0.3\"];\ns17 -> s14  [label=\"mtu_req:0.7\"];\ns17 -> s0  [label=\"pairing_req:0.3\"];\ns17 -> s13  [label=\"pairing_req:0.7\"];\ns17 -> s1  [label=\"connection_req:1.0\"];\ns18 -> s3  [label=\"scan_req:1.0\"];\ns18 -> s9  [label=\"length_req:1.0\"];\ns18 -> s8  [label=\"length_rsp:1.0\"];\ns18 -> s7  [label=\"feature_rsp:1.0\"];\ns18 -> s6  [label=\"version_req:1.0\"];\ns18 -> s0  [label=\"mtu_req:0.3\"];\ns18 -> s5  [label=\"mtu_req:0.7\"];\ns18 -> s0  [label=\"pairing_req:0.3\"];\ns18 -> s4  [label=\"pairing_req:0.7\"];\ns18 -> s1  [label=\"connection_req:1.0\"];\ns19 -> s3  [label=\"scan_req:1.0\"];\ns19 -> s23  [label=\"length_req:1.0\"];\ns19 -> s22  [label=\"length_rsp:1.0\"];\ns19 -> s21  [label=\"feature_rsp:1.0\"];\ns19 -> s20  [label=\"version_req:1.0\"];\ns19 -> s0  [label=\"mtu_req:0.3\"];\ns19 -> s19  [label=\"mtu_req:0.7\"];\ns19 -> s0  [label=\"pairing_req:0.3\"];\ns19 -> s18  [label=\"pairing_req:0.7\"];\ns19 -> s1  [label=\"connection_req:1.0\"];\ns20 -> s3  [label=\"scan_req:1.0\"];\ns20 -> s36  [label=\"length_req:1.0\"];\ns20 -> s39  [label=\"length_rsp:1.0\"];\ns20 -> s20  [label=\"feature_rsp:1.0\"];\ns20 -> s35  [label=\"version_req:1.0\"];\ns20 -> s0  [label=\"mtu_req:0.3\"];\ns20 -> s34  [label=\"mtu_req:0.7\"];\ns20 -> s0  [label=\"pairing_req:0.3\"];\ns20 -> s33  [label=\"pairing_req:0.7\"];\ns20 -> s1  [label=\"connection_req:1.0\"];\ns21 -> s3  [label=\"scan_req:1.0\"];\ns21 -> s23  [label=\"length_req:1.0\"];\ns21 -> s22  [label=\"length_rsp:1.0\"];\ns21 -> s21  [label=\"feature_rsp:1.0\"];\ns21 -> s20  [label=\"version_req:1.0\"];\ns21 -> s0  [label=\"mtu_req:0.3\"];\ns21 -> s19  [label=\"mtu_req:0.7\"];\ns21 -> s0  [label=\"pairing_req:0.3\"];\ns21 -> s18  [label=\"pairing_req:0.7\"];\ns21 -> s1  [label=\"connection_req:1.0\"];\ns22 -> s3  [label=\"scan_req:1.0\"];\ns22 -> s40  [label=\"length_req:1.0\"];\ns22 -> s22  [label=\"length_rsp:1.0\"];\ns22 -> s22  [label=\"feature_rsp:1.0\"];\ns22 -> s39  [label=\"version_req:1.0\"];\ns22 -> s0  [label=\"mtu_req:0.3\"];\ns22 -> s38  [label=\"mtu_req:0.7\"];\ns22 -> s0  [label=\"pairing_req:0.3\"];\ns22 -> s37  [label=\"pairing_req:0.7\"];\ns22 -> s1  [label=\"connection_req:1.0\"];\ns23 -> s3  [label=\"scan_req:1.0\"];\ns23 -> s23  [label=\"length_req:1.0\"];\ns23 -> s22  [label=\"length_rsp:1.0\"];\ns23 -> s21  [label=\"feature_rsp:1.0\"];\ns23 -> s20  [label=\"version_req:1.0\"];\ns23 -> s0  [label=\"mtu_req:0.3\"];\ns23 -> s19  [label=\"mtu_req:0.7\"];\ns23 -> s0  [label=\"pairing_req:0.3\"];\ns23 -> s18  [label=\"pairing_req:0.7\"];\ns23 -> s1  [label=\"connection_req:1.0\"];\ns24 -> s3  [label=\"scan_req:1.0\"];\ns24 -> s49  [label=\"length_req:1.0\"];\ns24 -> s48  [label=\"length_rsp:1.0\"];\ns24 -> s48  [label=\"feature_rsp:1.0\"];\ns24 -> s47  [label=\"version_req:1.0\"];\ns24 -> s0  [label=\"mtu_req:0.3\"];\ns24 -> s46  [label=\"mtu_req:0.7\"];\ns24 -> s0  [label=\"pairing_req:0.3\"];\ns24 -> s45  [label=\"pairing_req:0.7\"];\ns24 -> s1  [label=\"connection_req:1.0\"];\ns25 -> s3  [label=\"scan_req:1.0\"];\ns25 -> s28  [label=\"length_req:1.0\"];\ns25 -> s27  [label=\"length_rsp:1.0\"];\ns25 -> s27  [label=\"feature_rsp:1.0\"];\ns25 -> s26  [label=\"version_req:1.0\"];\ns25 -> s0  [label=\"mtu_req:0.3\"];\ns25 -> s25  [label=\"mtu_req:0.7\"];\ns25 -> s0  [label=\"pairing_req:0.3\"];\ns25 -> s24  [label=\"pairing_req:0.7\"];\ns25 -> s1  [label=\"connection_req:1.0\"];\ns26 -> s3  [label=\"scan_req:1.0\"];\ns26 -> s28  [label=\"length_req:1.0\"];\ns26 -> s27  [label=\"length_rsp:1.0\"];\ns26 -> s27  [label=\"feature_rsp:1.0\"];\ns26 -> s26  [label=\"version_req:1.0\"];\ns26 -> s0  [label=\"mtu_req:0.3\"];\ns26 -> s25  [label=\"mtu_req:0.7\"];\ns26 -> s0  [label=\"pairing_req:0.3\"];\ns26 -> s24  [label=\"pairing_req:0.7\"];\ns26 -> s1  [label=\"connection_req:1.0\"];\ns27 -> s3  [label=\"scan_req:1.0\"];\ns27 -> s28  [label=\"length_req:1.0\"];\ns27 -> s27  [label=\"length_rsp:1.0\"];\ns27 -> s27  [label=\"feature_rsp:1.0\"];\ns27 -> s26  [label=\"version_req:1.0\"];\ns27 -> s0  [label=\"mtu_req:0.3\"];\ns27 -> s25  [label=\"mtu_req:0.7\"];\ns27 -> s0  [label=\"pairing_req:0.3\"];\ns27 -> s24  [label=\"pairing_req:0.7\"];\ns27 -> s1  [label=\"connection_req:1.0\"];\ns28 -> s3  [label=\"scan_req:1.0\"];\ns28 -> s28  [label=\"length_req:1.0\"];\ns28 -> s27  [label=\"length_rsp:1.0\"];\ns28 -> s27  [label=\"feature_rsp:1.0\"];\ns28 -> s26  [label=\"version_req:1.0\"];\ns28 -> s0  [label=\"mtu_req:0.3\"];\ns28 -> s25  [label=\"mtu_req:0.7\"];\ns28 -> s0  [label=\"pairing_req:0.3\"];\ns28 -> s24  [label=\"pairing_req:0.7\"];\ns28 -> s1  [label=\"connection_req:1.0\"];\ns29 -> s3  [label=\"scan_req:1.0\"];\ns29 -> s44  [label=\"length_req:1.0\"];\ns29 -> s43  [label=\"length_rsp:1.0\"];\ns29 -> s35  [label=\"feature_rsp:1.0\"];\ns29 -> s35  [label=\"version_req:1.0\"];\ns29 -> s0  [label=\"mtu_req:0.3\"];\ns29 -> s42  [label=\"mtu_req:0.7\"];\ns29 -> s0  [label=\"pairing_req:0.3\"];\ns29 -> s41  [label=\"pairing_req:0.7\"];\ns29 -> s1  [label=\"connection_req:1.0\"];\ns30 -> s3  [label=\"scan_req:1.0\"];\ns30 -> s32  [label=\"length_req:1.0\"];\ns30 -> s31  [label=\"length_rsp:1.0\"];\ns30 -> s15  [label=\"feature_rsp:1.0\"];\ns30 -> s15  [label=\"version_req:1.0\"];\ns30 -> s0  [label=\"mtu_req:0.3\"];\ns30 -> s30  [label=\"mtu_req:0.7\"];\ns30 -> s0  [label=\"pairing_req:0.3\"];\ns30 -> s29  [label=\"pairing_req:0.7\"];\ns30 -> s1  [label=\"connection_req:1.0\"];\ns31 -> s3  [label=\"scan_req:1.0\"];\ns31 -> s28  [label=\"length_req:1.0\"];\ns31 -> s27  [label=\"length_rsp:1.0\"];\ns31 -> s27  [label=\"feature_rsp:1.0\"];\ns31 -> s26  [label=\"version_req:1.0\"];\ns31 -> s0  [label=\"mtu_req:0.3\"];\ns31 -> s25  [label=\"mtu_req:0.7\"];\ns31 -> s0  [label=\"pairing_req:0.3\"];\ns31 -> s24  [label=\"pairing_req:0.7\"];\ns31 -> s1  [label=\"connection_req:1.0\"];\ns32 -> s3  [label=\"scan_req:1.0\"];\ns32 -> s32  [label=\"length_req:1.0\"];\ns32 -> s31  [label=\"length_rsp:1.0\"];\ns32 -> s15  [label=\"feature_rsp:1.0\"];\ns32 -> s15  [label=\"version_req:1.0\"];\ns32 -> s0  [label=\"mtu_req:0.3\"];\ns32 -> s30  [label=\"mtu_req:0.7\"];\ns32 -> s0  [label=\"pairing_req:0.3\"];\ns32 -> s29  [label=\"pairing_req:0.7\"];\ns32 -> s1  [label=\"connection_req:1.0\"];\ns33 -> s3  [label=\"scan_req:1.0\"];\ns33 -> s17  [label=\"length_req:1.0\"];\ns33 -> s16  [label=\"length_rsp:1.0\"];\ns33 -> s6  [label=\"feature_rsp:1.0\"];\ns33 -> s15  [label=\"version_req:1.0\"];\ns33 -> s0  [label=\"mtu_req:0.3\"];\ns33 -> s14  [label=\"mtu_req:0.7\"];\ns33 -> s0  [label=\"pairing_req:0.3\"];\ns33 -> s13  [label=\"pairing_req:0.7\"];\ns33 -> s1  [label=\"connection_req:1.0\"];\ns34 -> s3  [label=\"scan_req:1.0\"];\ns34 -> s36  [label=\"length_req:1.0\"];\ns34 -> s39  [label=\"length_rsp:1.0\"];\ns34 -> s20  [label=\"feature_rsp:1.0\"];\ns34 -> s35  [label=\"version_req:1.0\"];\ns34 -> s0  [label=\"mtu_req:0.3\"];\ns34 -> s34  [label=\"mtu_req:0.7\"];\ns34 -> s0  [label=\"pairing_req:0.3\"];\ns34 -> s33  [label=\"pairing_req:0.7\"];\ns34 -> s1  [label=\"connection_req:1.0\"];\ns35 -> s3  [label=\"scan_req:1.0\"];\ns35 -> s44  [label=\"length_req:1.0\"];\ns35 -> s43  [label=\"length_rsp:1.0\"];\ns35 -> s35  [label=\"feature_rsp:1.0\"];\ns35 -> s35  [label=\"version_req:1.0\"];\ns35 -> s0  [label=\"mtu_req:0.3\"];\ns35 -> s42  [label=\"mtu_req:0.7\"];\ns35 -> s0  [label=\"pairing_req:0.3\"];\ns35 -> s41  [label=\"pairing_req:0.7\"];\ns35 -> s1  [label=\"connection_req:1.0\"];\ns36 -> s3  [label=\"scan_req:1.0\"];\ns36 -> s36  [label=\"length_req:1.0\"];\ns36 -> s39  [label=\"length_rsp:1.0\"];\ns36 -> s20  [label=\"feature_rsp:1.0\"];\ns36 -> s35  [label=\"version_req:1.0\"];\ns36 -> s0  [label=\"mtu_req:0.3\"];\ns36 -> s34  [label=\"mtu_req:0.7\"];\ns36 -> s0  [label=\"pairing_req:0.3\"];\ns36 -> s33  [label=\"pairing_req:0.7\"];\ns36 -> s1  [label=\"connection_req:1.0\"];\ns37 -> s3  [label=\"scan_req:1.0\"];\ns37 -> s12  [label=\"length_req:1.0\"];\ns37 -> s8  [label=\"length_rsp:1.0\"];\ns37 -> s8  [label=\"feature_rsp:1.0\"];\ns37 -> s16  [label=\"version_req:1.0\"];\ns37 -> s0  [label=\"mtu_req:0.3\"];\ns37 -> s11  [label=\"mtu_req:0.7\"];\ns37 -> s0  [label=\"pairing_req:0.3\"];\ns37 -> s10  [label=\"pairing_req:0.7\"];\ns37 -> s1  [label=\"connection_req:1.0\"];\ns38 -> s3  [label=\"scan_req:1.0\"];\ns38 -> s40  [label=\"length_req:1.0\"];\ns38 -> s22  [label=\"length_rsp:1.0\"];\ns38 -> s22  [label=\"feature_rsp:1.0\"];\ns38 -> s39  [label=\"version_req:1.0\"];\ns38 -> s0  [label=\"mtu_req:0.3\"];\ns38 -> s38  [label=\"mtu_req:0.7\"];\ns38 -> s0  [label=\"pairing_req:0.3\"];\ns38 -> s37  [label=\"pairing_req:0.7\"];\ns38 -> s1  [label=\"connection_req:1.0\"];\ns39 -> s3  [label=\"scan_req:1.0\"];\ns39 -> s49  [label=\"length_req:1.0\"];\ns39 -> s48  [label=\"length_rsp:1.0\"];\ns39 -> s48  [label=\"feature_rsp:1.0\"];\ns39 -> s47  [label=\"version_req:1.0\"];\ns39 -> s0  [label=\"mtu_req:0.3\"];\ns39 -> s46  [label=\"mtu_req:0.7\"];\ns39 -> s0  [label=\"pairing_req:0.3\"];\ns39 -> s45  [label=\"pairing_req:0.7\"];\ns39 -> s1  [label=\"connection_req:1.0\"];\ns40 -> s3  [label=\"scan_req:1.0\"];\ns40 -> s40  [label=\"length_req:1.0\"];\ns40 -> s22  [label=\"length_rsp:1.0\"];\ns40 -> s22  [label=\"feature_rsp:1.0\"];\ns40 -> s39  [label=\"version_req:1.0\"];\ns40 -> s0  [label=\"mtu_req:0.3\"];\ns40 -> s38  [label=\"mtu_req:0.7\"];\ns40 -> s0  [label=\"pairing_req:0.3\"];\ns40 -> s37  [label=\"pairing_req:0.7\"];\ns40 -> s1  [label=\"connection_req:1.0\"];\ns41 -> s3  [label=\"scan_req:1.0\"];\ns41 -> s32  [label=\"length_req:1.0\"];\ns41 -> s31  [label=\"length_rsp:1.0\"];\ns41 -> s15  [label=\"feature_rsp:1.0\"];\ns41 -> s15  [label=\"version_req:1.0\"];\ns41 -> s0  [label=\"mtu_req:0.3\"];\ns41 -> s30  [label=\"mtu_req:0.7\"];\ns41 -> s0  [label=\"pairing_req:0.3\"];\ns41 -> s29  [label=\"pairing_req:0.7\"];\ns41 -> s1  [label=\"connection_req:1.0\"];\ns42 -> s3  [label=\"scan_req:1.0\"];\ns42 -> s44  [label=\"length_req:1.0\"];\ns42 -> s43  [label=\"length_rsp:1.0\"];\ns42 -> s35  [label=\"feature_rsp:1.0\"];\ns42 -> s35  [label=\"version_req:1.0\"];\ns42 -> s0  [label=\"mtu_req:0.3\"];\ns42 -> s42  [label=\"mtu_req:0.7\"];\ns42 -> s0  [label=\"pairing_req:0.3\"];\ns42 -> s41  [label=\"pairing_req:0.7\"];\ns42 -> s1  [label=\"connection_req:1.0\"];\ns43 -> s3  [label=\"scan_req:1.0\"];\ns43 -> s49  [label=\"length_req:1.0\"];\ns43 -> s48  [label=\"length_rsp:1.0\"];\ns43 -> s48  [label=\"feature_rsp:1.0\"];\ns43 -> s47  [label=\"version_req:1.0\"];\ns43 -> s0  [label=\"mtu_req:0.3\"];\ns43 -> s46  [label=\"mtu_req:0.7\"];\ns43 -> s0  [label=\"pairing_req:0.3\"];\ns43 -> s45  [label=\"pairing_req:0.7\"];\ns43 -> s1  [label=\"connection_req:1.0\"];\ns44 -> s3  [label=\"scan_req:1.0\"];\ns44 -> s44  [label=\"length_req:1.0\"];\ns44 -> s43  [label=\"length_rsp:1.0\"];\ns44 -> s35  [label=\"feature_rsp:1.0\"];\ns44 -> s35  [label=\"version_req:1.0\"];\ns44 -> s0  [label=\"mtu_req:0.3\"];\ns44 -> s42  [label=\"mtu_req:0.7\"];\ns44 -> s0  [label=\"pairing_req:0.3\"];\ns44 -> s41  [label=\"pairing_req:0.7\"];\ns44 -> s1  [label=\"connection_req:1.0\"];\ns45 -> s3  [label=\"scan_req:1.0\"];\ns45 -> s28  [label=\"length_req:1.0\"];\ns45 -> s27  [label=\"length_rsp:1.0\"];\ns45 -> s27  [label=\"feature_rsp:1.0\"];\ns45 -> s26  [label=\"version_req:1.0\"];\ns45 -> s0  [label=\"mtu_req:0.3\"];\ns45 -> s25  [label=\"mtu_req:0.7\"];\ns45 -> s0  [label=\"pairing_req:0.3\"];\ns45 -> s24  [label=\"pairing_req:0.7\"];\ns45 -> s1  [label=\"connection_req:1.0\"];\ns46 -> s3  [label=\"scan_req:1.0\"];\ns46 -> s49  [label=\"length_req:1.0\"];\ns46 -> s48  [label=\"length_rsp:1.0\"];\ns46 -> s48  [label=\"feature_rsp:1.0\"];\ns46 -> s47  [label=\"version_req:1.0\"];\ns46 -> s0  [label=\"mtu_req:0.3\"];\ns46 -> s46  [label=\"mtu_req:0.7\"];\ns46 -> s0  [label=\"pairing_req:0.3\"];\ns46 -> s45  [label=\"pairing_req:0.7\"];\ns46 -> s1  [label=\"connection_req:1.0\"];\ns47 -> s3  [label=\"scan_req:1.0\"];\ns47 -> s49  [label=\"length_req:1.0\"];\ns47 -> s48  [label=\"length_rsp:1.0\"];\ns47 -> s48  [label=\"feature_rsp:1.0\"];\ns47 -> s47  [label=\"version_req:1.0\"];\ns47 -> s0  [label=\"mtu_req:0.3\"];\ns47 -> s46  [label=\"mtu_req:0.7\"];\ns47 -> s0  [label=\"pairing_req:0.3\"];\ns47 -> s45  [label=\"pairing_req:0.7\"];\ns47 -> s1  [label=\"connection_req:1.0\"];\ns48 -> s3  [label=\"scan_req:1.0\"];\ns48 -> s49  [label=\"length_req:1.0\"];\ns48 -> s48  [label=\"length_rsp:1.0\"];\ns48 -> s48  [label=\"feature_rsp:1.0\"];\ns48 -> s47  [label=\"version_req:1.0\"];\ns48 -> s0  [label=\"mtu_req:0.3\"];\ns48 -> s46  [label=\"mtu_req:0.7\"];\ns48 -> s0  [label=\"pairing_req:0.3\"];\ns48 -> s45  [label=\"pairing_req:0.7\"];\ns48 -> s1  [label=\"connection_req:1.0\"];\ns49 -> s3  [label=\"scan_req:1.0\"];\ns49 -> s49  [label=\"length_req:1.0\"];\ns49 -> s48  [label=\"length_rsp:1.0\"];\ns49 -> s48  [label=\"feature_rsp:1.0\"];\ns49 -> s47  [label=\"version_req:1.0\"];\ns49 -> s0  [label=\"mtu_req:0.3\"];\ns49 -> s46  [label=\"mtu_req:0.7\"];\ns49 -> s0  [label=\"pairing_req:0.3\"];\ns49 -> s45  [label=\"pairing_req:0.7\"];\ns49 -> s1  [label=\"connection_req:1.0\"];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/Bluetooth/CC2640R2-no-pairing-req.dot",
    "content": "digraph CC2640R2 {\ns0 [label=s0];\ns1 [label=s1];\ns2 [label=s2];\ns3 [label=s3];\ns4 [label=s4];\ns5 [label=s5];\ns0 -> s0  [label=\"scan_req/Adv\"];\ns0 -> s1  [label=\"connection_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_REQ\"];\ns0 -> s0  [label=\"length_req/Empty\"];\ns0 -> s0  [label=\"length_rsp/Empty\"];\ns0 -> s0  [label=\"feature_rsp/Empty\"];\ns0 -> s0  [label=\"feature_req/Empty\"];\ns0 -> s0  [label=\"version_req/Empty\"];\ns0 -> s0  [label=\"mtu_req/Empty\"];\ns1 -> s0  [label=\"scan_req/Adv\"];\ns1 -> s1  [label=\"connection_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_REQ\"];\ns1 -> s1  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns1 -> s3  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns1 -> s1  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns1 -> s1  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns1 -> s2  [label=\"version_req/BTLE|BTLE_DATA\"];\ns1 -> s1  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns2 -> s0  [label=\"scan_req/Adv\"];\ns2 -> s1  [label=\"connection_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_REQ\"];\ns2 -> s2  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns2 -> s5  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns2 -> s2  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns2 -> s2  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns2 -> s4  [label=\"version_req/BTLE|BTLE_DATA\"];\ns2 -> s2  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns3 -> s0  [label=\"scan_req/Adv\"];\ns3 -> s1  [label=\"connection_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_REQ\"];\ns3 -> s3  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns3 -> s3  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns3 -> s3  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns3 -> s3  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns3 -> s5  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns3 -> s3  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns4 -> s0  [label=\"scan_req/Adv\"];\ns4 -> s1  [label=\"connection_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_REQ\"];\ns4 -> s4  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns4 -> s5  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP|LL_VERSION_IND\"];\ns4 -> s4  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns4 -> s4  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns4 -> s4  [label=\"version_req/BTLE|BTLE_DATA\"];\ns4 -> s4  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns5 -> s0  [label=\"scan_req/Adv\"];\ns5 -> s1  [label=\"connection_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_REQ\"];\ns5 -> s5  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns5 -> s5  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns5 -> s5  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns5 -> s5  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns5 -> s5  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns5 -> s5  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/Bluetooth/CC2650.dot",
    "content": "digraph \"cc2650\" {\ns0 [label=s0];\ns1 [label=s1];\ns2 [label=s2];\ns3 [label=s3];\ns4 [label=s4];\ns0 -> s0  [label=\"scan_req/Adv\"];\ns0 -> s1  [label=\"connection_req/BTLE|BTLE_DATA\"];\ns0 -> s0  [label=\"length_req/Empty\"];\ns0 -> s0  [label=\"length_rsp/Empty\"];\ns0 -> s0  [label=\"feature_rsp/Empty\"];\ns0 -> s0  [label=\"feature_req/Empty\"];\ns0 -> s0  [label=\"version_req/Empty\"];\ns0 -> s0  [label=\"mtu_req/Empty\"];\ns0 -> s0  [label=\"pairing_req/Empty\"];\ns1 -> s0  [label=\"scan_req/Adv\"];\ns1 -> s1  [label=\"connection_req/BTLE|BTLE_DATA\"];\ns1 -> s1  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns1 -> s1  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns1 -> s1  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns1 -> s1  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns1 -> s3  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns1 -> s1  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns1 -> s2  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns2 -> s0  [label=\"scan_req/Adv\"];\ns2 -> s1  [label=\"connection_req/BTLE|BTLE_DATA\"];\ns2 -> s2  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns2 -> s2  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns2 -> s2  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns2 -> s2  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns2 -> s4  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns2 -> s2  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns2 -> s1  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Failed|SM_Hdr\"];\ns3 -> s0  [label=\"scan_req/Adv\"];\ns3 -> s1  [label=\"connection_req/BTLE|BTLE_DATA\"];\ns3 -> s3  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns3 -> s3  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns3 -> s3  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns3 -> s3  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns3 -> s3  [label=\"version_req/BTLE|BTLE_DATA\"];\ns3 -> s3  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns3 -> s4  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns4 -> s0  [label=\"scan_req/Adv\"];\ns4 -> s1  [label=\"connection_req/BTLE|BTLE_DATA\"];\ns4 -> s4  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns4 -> s4  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns4 -> s4  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns4 -> s4  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns4 -> s4  [label=\"version_req/BTLE|BTLE_DATA\"];\ns4 -> s4  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns4 -> s3  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Failed|SM_Hdr\"];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/Bluetooth/CYBLE-416045-02.dot",
    "content": "digraph \"cyble-416045-02\" {\ns0 [label=s0];\ns1 [label=s1];\ns2 [label=s2];\ns0 -> s0  [label=\"scan_req/Adv\"];\ns0 -> s1  [label=\"connection_req/BTLE|BTLE_DATA\"];\ns0 -> s0  [label=\"length_req/Empty\"];\ns0 -> s0  [label=\"length_rsp/Empty\"];\ns0 -> s0  [label=\"feature_rsp/Empty\"];\ns0 -> s0  [label=\"feature_req/Empty\"];\ns0 -> s0  [label=\"version_req/Empty\"];\ns0 -> s0  [label=\"mtu_req/Empty\"];\ns0 -> s0  [label=\"pairing_req/Empty\"];\ns1 -> s0  [label=\"scan_req/Adv\"];\ns1 -> s1  [label=\"connection_req/BTLE|BTLE_DATA\"];\ns1 -> s1  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns1 -> s1  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns1 -> s1  [label=\"feature_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns1 -> s1  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns1 -> s2  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns1 -> s1  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns1 -> s1  [label=\"pairing_req/BTLE|BTLE_DATA\"];\ns2 -> s0  [label=\"scan_req/Adv\"];\ns2 -> s1  [label=\"connection_req/BTLE|BTLE_DATA\"];\ns2 -> s2  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns2 -> s2  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns2 -> s2  [label=\"feature_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns2 -> s2  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns2 -> s2  [label=\"version_req/BTLE|BTLE_DATA\"];\ns2 -> s2  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns2 -> s2  [label=\"pairing_req/BTLE|BTLE_DATA\"];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/Bluetooth/CYBLE-416045-02_Crash_No_Response_stochastic.dot",
    "content": "digraph \"CYBLE-416045-02_Crash_No_Response_stochastic\" {\n0 [label=___start___];\ns00 [label=E];\ns01 [label=Adv];\ns02 [label=SYSTEM_CRASH];\ns03 [label=Empty];\ns10 [label=\"ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns11 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns12 [label=\"BTLE|BTLE_DATA\"];\ns13 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns14 [label=E];\ns15 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns20 [label=\"ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns21 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns22 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns23 [label=\"BTLE|BTLE_DATA\"];\ns24 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns25 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\n0 -> s01  [label=\"scan_req:1.0\"];\n0 -> s03  [label=\"length_req:1.0\"];\n0 -> s03  [label=\"length_rsp:1.0\"];\n0 -> s03  [label=\"feature_rsp:1.0\"];\n0 -> s03  [label=\"feature_req:1.0\"];\n0 -> s03  [label=\"version_req:1.0\"];\n0 -> s00  [label=\"mtu_req:0.2\"];\n0 -> s03  [label=\"mtu_req:0.8\"];\n0 -> s03  [label=\"mtu_req:1.0\"];\n0 -> s00  [label=\"pairing_req:0.2\"];\n0 -> s03  [label=\"pairing_req:0.8\"];\n0 -> s03  [label=\"pairing_req:1.0\"];\n0 -> s12  [label=\"connection_req:1.0\"];\ns00 -> s01  [label=\"scan_req:1.0\"];\ns00 -> s03  [label=\"length_req:1.0\"];\ns00 -> s03  [label=\"length_rsp:1.0\"];\ns00 -> s03  [label=\"feature_rsp:1.0\"];\ns00 -> s03  [label=\"feature_req:1.0\"];\ns00 -> s03  [label=\"version_req:1.0\"];\ns00 -> s00  [label=\"mtu_req:0.2\"];\ns00 -> s03  [label=\"mtu_req:0.8\"];\ns00 -> s03  [label=\"mtu_req:1.0\"];\ns00 -> s00  [label=\"pairing_req:0.2\"];\ns00 -> s03  [label=\"pairing_req:0.8\"];\ns00 -> s03  [label=\"pairing_req:1.0\"];\ns00 -> s12  [label=\"connection_req:1.0\"];\ns01 -> s01  [label=\"scan_req:1.0\"];\ns01 -> s03  [label=\"length_req:1.0\"];\ns01 -> s03  [label=\"length_rsp:1.0\"];\ns01 -> s03  [label=\"feature_rsp:1.0\"];\ns01 -> s03  [label=\"feature_req:1.0\"];\ns01 -> s03  [label=\"version_req:1.0\"];\ns01 -> s00  [label=\"mtu_req:0.2\"];\ns01 -> s03  [label=\"mtu_req:0.8\"];\ns01 -> s03  [label=\"mtu_req:1.0\"];\ns01 -> s00  [label=\"pairing_req:0.2\"];\ns01 -> s03  [label=\"pairing_req:0.8\"];\ns01 -> s03  [label=\"pairing_req:1.0\"];\ns01 -> s12  [label=\"connection_req:1.0\"];\ns02 -> s01  [label=\"scan_req:1.0\"];\ns02 -> s03  [label=\"length_req:1.0\"];\ns02 -> s03  [label=\"length_rsp:1.0\"];\ns02 -> s03  [label=\"feature_rsp:1.0\"];\ns02 -> s03  [label=\"feature_req:1.0\"];\ns02 -> s03  [label=\"version_req:1.0\"];\ns02 -> s00  [label=\"mtu_req:0.2\"];\ns02 -> s03  [label=\"mtu_req:0.8\"];\ns02 -> s03  [label=\"mtu_req:1.0\"];\ns02 -> s00  [label=\"pairing_req:0.2\"];\ns02 -> s03  [label=\"pairing_req:0.8\"];\ns02 -> s03  [label=\"pairing_req:1.0\"];\ns02 -> s12  [label=\"connection_req:1.0\"];\ns03 -> s01  [label=\"scan_req:1.0\"];\ns03 -> s03  [label=\"length_req:1.0\"];\ns03 -> s03  [label=\"length_rsp:1.0\"];\ns03 -> s03  [label=\"feature_rsp:1.0\"];\ns03 -> s03  [label=\"feature_req:1.0\"];\ns03 -> s03  [label=\"version_req:1.0\"];\ns03 -> s00  [label=\"mtu_req:0.2\"];\ns03 -> s03  [label=\"mtu_req:0.8\"];\ns03 -> s03  [label=\"mtu_req:1.0\"];\ns03 -> s00  [label=\"pairing_req:0.2\"];\ns03 -> s03  [label=\"pairing_req:0.8\"];\ns03 -> s03  [label=\"pairing_req:1.0\"];\ns03 -> s12  [label=\"connection_req:1.0\"];\ns10 -> s01  [label=\"scan_req:1.0\"];\ns10 -> s11  [label=\"length_req:1.0\"];\ns10 -> s11  [label=\"length_rsp:1.0\"];\ns10 -> s13  [label=\"feature_rsp:1.0\"];\ns10 -> s15  [label=\"feature_req:1.0\"];\ns10 -> s22  [label=\"version_req:1.0\"];\ns10 -> s14  [label=\"mtu_req:0.2\"];\ns10 -> s10  [label=\"mtu_req:0.8\"];\ns10 -> s10  [label=\"mtu_req:1.0\"];\ns10 -> s14  [label=\"pairing_req:0.2\"];\ns10 -> s12  [label=\"pairing_req:0.8\"];\ns10 -> s12  [label=\"pairing_req:1.0\"];\ns10 -> s12  [label=\"connection_req:1.0\"];\ns11 -> s01  [label=\"scan_req:1.0\"];\ns11 -> s11  [label=\"length_req:1.0\"];\ns11 -> s11  [label=\"length_rsp:1.0\"];\ns11 -> s13  [label=\"feature_rsp:1.0\"];\ns11 -> s15  [label=\"feature_req:1.0\"];\ns11 -> s22  [label=\"version_req:1.0\"];\ns11 -> s14  [label=\"mtu_req:0.2\"];\ns11 -> s10  [label=\"mtu_req:0.8\"];\ns11 -> s10  [label=\"mtu_req:1.0\"];\ns11 -> s14  [label=\"pairing_req:0.2\"];\ns11 -> s12  [label=\"pairing_req:0.8\"];\ns11 -> s12  [label=\"pairing_req:1.0\"];\ns11 -> s12  [label=\"connection_req:1.0\"];\ns12 -> s01  [label=\"scan_req:1.0\"];\ns12 -> s11  [label=\"length_req:1.0\"];\ns12 -> s11  [label=\"length_rsp:1.0\"];\ns12 -> s13  [label=\"feature_rsp:1.0\"];\ns12 -> s15  [label=\"feature_req:1.0\"];\ns12 -> s22  [label=\"version_req:1.0\"];\ns12 -> s14  [label=\"mtu_req:0.2\"];\ns12 -> s10  [label=\"mtu_req:0.8\"];\ns12 -> s10  [label=\"mtu_req:1.0\"];\ns12 -> s14  [label=\"pairing_req:0.2\"];\ns12 -> s12  [label=\"pairing_req:0.8\"];\ns12 -> s12  [label=\"pairing_req:1.0\"];\ns12 -> s12  [label=\"connection_req:1.0\"];\ns13 -> s01  [label=\"scan_req:1.0\"];\ns13 -> s11  [label=\"length_req:1.0\"];\ns13 -> s11  [label=\"length_rsp:1.0\"];\ns13 -> s13  [label=\"feature_rsp:1.0\"];\ns13 -> s15  [label=\"feature_req:1.0\"];\ns13 -> s22  [label=\"version_req:1.0\"];\ns13 -> s14  [label=\"mtu_req:0.2\"];\ns13 -> s10  [label=\"mtu_req:0.8\"];\ns13 -> s10  [label=\"mtu_req:1.0\"];\ns13 -> s14  [label=\"pairing_req:0.2\"];\ns13 -> s12  [label=\"pairing_req:0.8\"];\ns13 -> s12  [label=\"pairing_req:1.0\"];\ns13 -> s12  [label=\"connection_req:1.0\"];\ns14 -> s01  [label=\"scan_req:1.0\"];\ns14 -> s11  [label=\"length_req:1.0\"];\ns14 -> s11  [label=\"length_rsp:1.0\"];\ns14 -> s13  [label=\"feature_rsp:1.0\"];\ns14 -> s15  [label=\"feature_req:1.0\"];\ns14 -> s22  [label=\"version_req:1.0\"];\ns14 -> s14  [label=\"mtu_req:0.2\"];\ns14 -> s10  [label=\"mtu_req:0.8\"];\ns14 -> s10  [label=\"mtu_req:1.0\"];\ns14 -> s14  [label=\"pairing_req:0.2\"];\ns14 -> s12  [label=\"pairing_req:0.8\"];\ns14 -> s12  [label=\"pairing_req:1.0\"];\ns14 -> s12  [label=\"connection_req:1.0\"];\ns15 -> s01  [label=\"scan_req:1.0\"];\ns15 -> s11  [label=\"length_req:1.0\"];\ns15 -> s11  [label=\"length_rsp:1.0\"];\ns15 -> s13  [label=\"feature_rsp:1.0\"];\ns15 -> s15  [label=\"feature_req:1.0\"];\ns15 -> s22  [label=\"version_req:1.0\"];\ns15 -> s14  [label=\"mtu_req:0.2\"];\ns15 -> s10  [label=\"mtu_req:0.8\"];\ns15 -> s10  [label=\"mtu_req:1.0\"];\ns15 -> s14  [label=\"pairing_req:0.2\"];\ns15 -> s12  [label=\"pairing_req:0.8\"];\ns15 -> s12  [label=\"pairing_req:1.0\"];\ns15 -> s12  [label=\"connection_req:1.0\"];\ns20 -> s01  [label=\"scan_req:1.0\"];\ns20 -> s02  [label=\"length_req:0.1\"];\ns20 -> s21  [label=\"length_req:0.9\"];\ns20 -> s02  [label=\"length_rsp:0.1\"];\ns20 -> s21  [label=\"length_rsp:0.9\"];\ns20 -> s02  [label=\"feature_rsp:0.1\"];\ns20 -> s24  [label=\"feature_rsp:0.9\"];\ns20 -> s25  [label=\"feature_req:1.0\"];\ns20 -> s23  [label=\"version_req:1.0\"];\ns20 -> s23  [label=\"mtu_req:0.2\"];\ns20 -> s20  [label=\"mtu_req:0.8\"];\ns20 -> s20  [label=\"mtu_req:1.0\"];\ns20 -> s23  [label=\"pairing_req:0.2\"];\ns20 -> s23  [label=\"pairing_req:0.8\"];\ns20 -> s23  [label=\"pairing_req:1.0\"];\ns20 -> s12  [label=\"connection_req:1.0\"];\ns21 -> s01  [label=\"scan_req:1.0\"];\ns21 -> s02  [label=\"length_req:0.1\"];\ns21 -> s21  [label=\"length_req:0.9\"];\ns21 -> s02  [label=\"length_rsp:0.1\"];\ns21 -> s21  [label=\"length_rsp:0.9\"];\ns21 -> s02  [label=\"feature_rsp:0.1\"];\ns21 -> s24  [label=\"feature_rsp:0.9\"];\ns21 -> s25  [label=\"feature_req:1.0\"];\ns21 -> s23  [label=\"version_req:1.0\"];\ns21 -> s23  [label=\"mtu_req:0.2\"];\ns21 -> s20  [label=\"mtu_req:0.8\"];\ns21 -> s20  [label=\"mtu_req:1.0\"];\ns21 -> s23  [label=\"pairing_req:0.2\"];\ns21 -> s23  [label=\"pairing_req:0.8\"];\ns21 -> s23  [label=\"pairing_req:1.0\"];\ns21 -> s12  [label=\"connection_req:1.0\"];\ns22 -> s01  [label=\"scan_req:1.0\"];\ns22 -> s02  [label=\"length_req:0.1\"];\ns22 -> s21  [label=\"length_req:0.9\"];\ns22 -> s02  [label=\"length_rsp:0.1\"];\ns22 -> s21  [label=\"length_rsp:0.9\"];\ns22 -> s02  [label=\"feature_rsp:0.1\"];\ns22 -> s24  [label=\"feature_rsp:0.9\"];\ns22 -> s25  [label=\"feature_req:1.0\"];\ns22 -> s23  [label=\"version_req:1.0\"];\ns22 -> s23  [label=\"mtu_req:0.2\"];\ns22 -> s20  [label=\"mtu_req:0.8\"];\ns22 -> s20  [label=\"mtu_req:1.0\"];\ns22 -> s23  [label=\"pairing_req:0.2\"];\ns22 -> s23  [label=\"pairing_req:0.8\"];\ns22 -> s23  [label=\"pairing_req:1.0\"];\ns22 -> s12  [label=\"connection_req:1.0\"];\ns23 -> s01  [label=\"scan_req:1.0\"];\ns23 -> s02  [label=\"length_req:0.1\"];\ns23 -> s21  [label=\"length_req:0.9\"];\ns23 -> s02  [label=\"length_rsp:0.1\"];\ns23 -> s21  [label=\"length_rsp:0.9\"];\ns23 -> s02  [label=\"feature_rsp:0.1\"];\ns23 -> s24  [label=\"feature_rsp:0.9\"];\ns23 -> s25  [label=\"feature_req:1.0\"];\ns23 -> s23  [label=\"version_req:1.0\"];\ns23 -> s23  [label=\"mtu_req:0.2\"];\ns23 -> s20  [label=\"mtu_req:0.8\"];\ns23 -> s20  [label=\"mtu_req:1.0\"];\ns23 -> s23  [label=\"pairing_req:0.2\"];\ns23 -> s23  [label=\"pairing_req:0.8\"];\ns23 -> s23  [label=\"pairing_req:1.0\"];\ns23 -> s12  [label=\"connection_req:1.0\"];\ns24 -> s01  [label=\"scan_req:1.0\"];\ns24 -> s02  [label=\"length_req:0.1\"];\ns24 -> s21  [label=\"length_req:0.9\"];\ns24 -> s02  [label=\"length_rsp:0.1\"];\ns24 -> s21  [label=\"length_rsp:0.9\"];\ns24 -> s02  [label=\"feature_rsp:0.1\"];\ns24 -> s24  [label=\"feature_rsp:0.9\"];\ns24 -> s25  [label=\"feature_req:1.0\"];\ns24 -> s23  [label=\"version_req:1.0\"];\ns24 -> s23  [label=\"mtu_req:0.2\"];\ns24 -> s20  [label=\"mtu_req:0.8\"];\ns24 -> s20  [label=\"mtu_req:1.0\"];\ns24 -> s23  [label=\"pairing_req:0.2\"];\ns24 -> s23  [label=\"pairing_req:0.8\"];\ns24 -> s23  [label=\"pairing_req:1.0\"];\ns24 -> s12  [label=\"connection_req:1.0\"];\ns25 -> s01  [label=\"scan_req:1.0\"];\ns25 -> s02  [label=\"length_req:0.1\"];\ns25 -> s21  [label=\"length_req:0.9\"];\ns25 -> s02  [label=\"length_rsp:0.1\"];\ns25 -> s21  [label=\"length_rsp:0.9\"];\ns25 -> s02  [label=\"feature_rsp:0.1\"];\ns25 -> s24  [label=\"feature_rsp:0.9\"];\ns25 -> s25  [label=\"feature_req:1.0\"];\ns25 -> s23  [label=\"version_req:1.0\"];\ns25 -> s23  [label=\"mtu_req:0.2\"];\ns25 -> s20  [label=\"mtu_req:0.8\"];\ns25 -> s20  [label=\"mtu_req:1.0\"];\ns25 -> s23  [label=\"pairing_req:0.2\"];\ns25 -> s23  [label=\"pairing_req:0.8\"];\ns25 -> s23  [label=\"pairing_req:1.0\"];\ns25 -> s12  [label=\"connection_req:1.0\"];\n__start0 [label=\"\", shape=none];\n__start0 -> 0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/Bluetooth/CYW43455.dot",
    "content": "digraph cyw43455 {\ns0 [label=s0];\ns1 [label=s1];\ns2 [label=s2];\ns3 [label=s3];\ns4 [label=s4];\ns5 [label=s5];\ns6 [label=s6];\ns7 [label=s7];\ns8 [label=s8];\ns9 [label=s9];\ns10 [label=s10];\ns11 [label=s11];\ns12 [label=s12];\ns13 [label=s13];\ns14 [label=s14];\ns15 [label=s15];\ns0 -> s0  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns0 -> s0  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns0 -> s4  [label=\"feature_rsp/ATT_Exchange_MTU_Request|ATT_Hdr|BTLE|BTLE_CTRL|BTLE_DATA|L2CAP_CmdHdr|L2CAP_Connection_Parameter_Update_Request|L2CAP_Hdr|LL_LENGTH_REQ\"];\ns0 -> s0  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns0 -> s3  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns0 -> s2  [label=\"mtu_req/BTLE|BTLE_DATA\"];\ns0 -> s1  [label=\"pairing_req/BTLE|BTLE_DATA\"];\ns1 -> s1  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns1 -> s1  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns1 -> s10  [label=\"feature_rsp/ATT_Exchange_MTU_Request|ATT_Hdr|BTLE|BTLE_CTRL|BTLE_DATA|L2CAP_CmdHdr|L2CAP_Connection_Parameter_Update_Request|L2CAP_Hdr|LL_LENGTH_REQ|SM_Hdr|SM_Pairing_Response\"];\ns1 -> s1  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns1 -> s9  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns1 -> s8  [label=\"mtu_req/BTLE|BTLE_DATA\"];\ns1 -> s1  [label=\"pairing_req/BTLE|BTLE_DATA\"];\ns2 -> s2  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns2 -> s2  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns2 -> s4  [label=\"feature_rsp/ATT_Exchange_MTU_Request|ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_CTRL|BTLE_DATA|L2CAP_CmdHdr|L2CAP_Connection_Parameter_Update_Request|L2CAP_Hdr|LL_LENGTH_REQ\"];\ns2 -> s2  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns2 -> s7  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns2 -> s2  [label=\"mtu_req/BTLE|BTLE_DATA\"];\ns2 -> s8  [label=\"pairing_req/BTLE|BTLE_DATA\"];\ns3 -> s3  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns3 -> s3  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns3 -> s6  [label=\"feature_rsp/ATT_Exchange_MTU_Request|ATT_Hdr|BTLE|BTLE_CTRL|BTLE_DATA|L2CAP_CmdHdr|L2CAP_Connection_Parameter_Update_Request|L2CAP_Hdr|LL_LENGTH_REQ\"];\ns3 -> s3  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns3 -> s3  [label=\"version_req/BTLE|BTLE_DATA\"];\ns3 -> s7  [label=\"mtu_req/BTLE|BTLE_DATA\"];\ns3 -> s9  [label=\"pairing_req/BTLE|BTLE_DATA\"];\ns4 -> s4  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns4 -> s5  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns4 -> s4  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns4 -> s4  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns4 -> s6  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns4 -> s4  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns4 -> s10  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns5 -> s5  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns5 -> s5  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns5 -> s5  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns5 -> s5  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns5 -> s14  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns5 -> s5  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns5 -> s13  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns6 -> s6  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns6 -> s14  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns6 -> s6  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns6 -> s6  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns6 -> s6  [label=\"version_req/BTLE|BTLE_DATA\"];\ns6 -> s6  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns6 -> s12  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns7 -> s7  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns7 -> s7  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns7 -> s6  [label=\"feature_rsp/ATT_Exchange_MTU_Request|ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_CTRL|BTLE_DATA|L2CAP_CmdHdr|L2CAP_Connection_Parameter_Update_Request|L2CAP_Hdr|LL_LENGTH_REQ\"];\ns7 -> s7  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns7 -> s7  [label=\"version_req/BTLE|BTLE_DATA\"];\ns7 -> s7  [label=\"mtu_req/BTLE|BTLE_DATA\"];\ns7 -> s11  [label=\"pairing_req/BTLE|BTLE_DATA\"];\ns8 -> s8  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns8 -> s2  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns8 -> s10  [label=\"feature_rsp/ATT_Exchange_MTU_Request|ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_CTRL|BTLE_DATA|L2CAP_CmdHdr|L2CAP_Connection_Parameter_Update_Request|L2CAP_Hdr|LL_LENGTH_REQ|SM_Hdr|SM_Pairing_Response\"];\ns8 -> s8  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns8 -> s11  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns8 -> s8  [label=\"mtu_req/BTLE|BTLE_DATA\"];\ns8 -> s8  [label=\"pairing_req/BTLE|BTLE_DATA\"];\ns9 -> s9  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns9 -> s9  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns9 -> s12  [label=\"feature_rsp/ATT_Exchange_MTU_Request|ATT_Hdr|BTLE|BTLE_CTRL|BTLE_DATA|L2CAP_CmdHdr|L2CAP_Connection_Parameter_Update_Request|L2CAP_Hdr|LL_LENGTH_REQ|SM_Hdr|SM_Pairing_Response\"];\ns9 -> s9  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns9 -> s9  [label=\"version_req/BTLE|BTLE_DATA\"];\ns9 -> s11  [label=\"mtu_req/BTLE|BTLE_DATA\"];\ns9 -> s9  [label=\"pairing_req/BTLE|BTLE_DATA\"];\ns10 -> s10  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns10 -> s13  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns10 -> s10  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns10 -> s10  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns10 -> s12  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns10 -> s10  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns10 -> s10  [label=\"pairing_req/BTLE|BTLE_DATA\"];\ns11 -> s11  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns11 -> s11  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns11 -> s12  [label=\"feature_rsp/ATT_Exchange_MTU_Request|ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_CTRL|BTLE_DATA|L2CAP_CmdHdr|L2CAP_Connection_Parameter_Update_Request|L2CAP_Hdr|LL_LENGTH_REQ|SM_Hdr|SM_Pairing_Response\"];\ns11 -> s11  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns11 -> s11  [label=\"version_req/BTLE|BTLE_DATA\"];\ns11 -> s11  [label=\"mtu_req/BTLE|BTLE_DATA\"];\ns11 -> s11  [label=\"pairing_req/BTLE|BTLE_DATA\"];\ns12 -> s12  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns12 -> s15  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns12 -> s12  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns12 -> s12  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns12 -> s12  [label=\"version_req/BTLE|BTLE_DATA\"];\ns12 -> s12  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns12 -> s12  [label=\"pairing_req/BTLE|BTLE_DATA\"];\ns13 -> s13  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns13 -> s13  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns13 -> s13  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns13 -> s13  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns13 -> s15  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns13 -> s13  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns13 -> s13  [label=\"pairing_req/BTLE|BTLE_DATA\"];\ns14 -> s14  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns14 -> s14  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns14 -> s14  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns14 -> s14  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns14 -> s14  [label=\"version_req/BTLE|BTLE_DATA\"];\ns14 -> s14  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns14 -> s15  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns15 -> s15  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns15 -> s15  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns15 -> s15  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns15 -> s15  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns15 -> s15  [label=\"version_req/BTLE|BTLE_DATA\"];\ns15 -> s15  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns15 -> s15  [label=\"pairing_req/BTLE|BTLE_DATA\"];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/Bluetooth/CYW43455_stochastic.dot",
    "content": "digraph CYW43455_stochastic {\n0 [label=___start___];\ns00 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns01 [label=E];\ns02 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns03 [label=SYSTEM_CRASH];\ns04 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns10 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns11 [label=\"BTLE|BTLE_DATA\"];\ns12 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns13 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns20 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns21 [label=\"BTLE|BTLE_DATA\"];\ns22 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns23 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns30 [label=\"BTLE|BTLE_DATA\"];\ns31 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns32 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns33 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns34 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns40 [label=\"BTLE|BTLE_DATA\"];\ns41 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns42 [label=\"ATT_Exchange_MTU_Request|ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_CTRL|BTLE_DATA|L2CAP_CmdHdr|L2CAP_Connection_Parameter_Update_Request|L2CAP_Hdr|LL_LENGTH_REQ\"];\ns43 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns44 [label=\"ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns45 [label=\"ATT_Exchange_MTU_Request|ATT_Hdr|BTLE|BTLE_CTRL|BTLE_DATA|L2CAP_CmdHdr|L2CAP_Connection_Parameter_Update_Request|L2CAP_Hdr|LL_LENGTH_REQ\"];\ns50 [label=\"BTLE|BTLE_DATA\"];\ns51 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns52 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns53 [label=\"ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns54 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns60 [label=\"BTLE|BTLE_DATA\"];\ns61 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns62 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns63 [label=\"ATT_Exchange_MTU_Request|ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_CTRL|BTLE_DATA|L2CAP_CmdHdr|L2CAP_Connection_Parameter_Update_Request|L2CAP_Hdr|LL_LENGTH_REQ\"];\ns64 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns65 [label=\"ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns66 [label=\"ATT_Exchange_MTU_Request|ATT_Hdr|BTLE|BTLE_CTRL|BTLE_DATA|L2CAP_CmdHdr|L2CAP_Connection_Parameter_Update_Request|L2CAP_Hdr|LL_LENGTH_REQ\"];\ns70 [label=\"BTLE|BTLE_DATA\"];\ns71 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns72 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns73 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns74 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns80 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns81 [label=\"BTLE|BTLE_DATA\"];\ns82 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns90 [label=\"BTLE|BTLE_DATA\"];\ns91 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns92 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns93 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns94 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns100 [label=\"BTLE|BTLE_DATA\"];\ns101 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns102 [label=\"ATT_Exchange_MTU_Request|ATT_Hdr|BTLE|BTLE_CTRL|BTLE_DATA|L2CAP_CmdHdr|L2CAP_Connection_Parameter_Update_Request|L2CAP_Hdr|LL_LENGTH_REQ|SM_Hdr|SM_Pairing_Response\"];\ns103 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns104 [label=\"ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns105 [label=\"ATT_Exchange_MTU_Request|ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_CTRL|BTLE_DATA|L2CAP_CmdHdr|L2CAP_Connection_Parameter_Update_Request|L2CAP_Hdr|LL_LENGTH_REQ|SM_Hdr|SM_Pairing_Response\"];\ns106 [label=\"BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns110 [label=\"BTLE|BTLE_DATA\"];\ns111 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns112 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns113 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns114 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns120 [label=\"BTLE|BTLE_DATA\"];\ns121 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns122 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns123 [label=\"ATT_Exchange_MTU_Request|ATT_Hdr|BTLE|BTLE_CTRL|BTLE_DATA|L2CAP_CmdHdr|L2CAP_Connection_Parameter_Update_Request|L2CAP_Hdr|LL_LENGTH_REQ|SM_Hdr|SM_Pairing_Response\"];\ns124 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns125 [label=\"ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns126 [label=\"ATT_Exchange_MTU_Request|ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_CTRL|BTLE_DATA|L2CAP_CmdHdr|L2CAP_Connection_Parameter_Update_Request|L2CAP_Hdr|LL_LENGTH_REQ|SM_Hdr|SM_Pairing_Response\"];\ns127 [label=\"BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns130 [label=\"BTLE|BTLE_DATA\"];\ns131 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns132 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns133 [label=\"ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns134 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns135 [label=\"BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns140 [label=\"BTLE|BTLE_DATA\"];\ns141 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns142 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns143 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns144 [label=\"ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns145 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns150 [label=\"BTLE|BTLE_DATA\"];\ns151 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns152 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns153 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns154 [label=\"ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns155 [label=\"BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns156 [label=\"BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\n0 -> s01  [label=\"length_req:0.2\"];\n0 -> s00  [label=\"length_req:0.8\"];\n0 -> s00  [label=\"length_req:1.0\"];\n0 -> s01  [label=\"length_rsp:0.2\"];\n0 -> s04  [label=\"length_rsp:0.8\"];\n0 -> s04  [label=\"length_rsp:1.0\"];\n0 -> s01  [label=\"feature_req:0.2\"];\n0 -> s02  [label=\"feature_req:0.8\"];\n0 -> s02  [label=\"feature_req:1.0\"];\n0 -> s01  [label=\"feature_rsp:0.2\"];\n0 -> s45  [label=\"feature_rsp:0.8\"];\n0 -> s45  [label=\"feature_rsp:1.0\"];\n0 -> s01  [label=\"version_req:0.2\"];\n0 -> s32  [label=\"version_req:0.8\"];\n0 -> s32  [label=\"version_req:1.0\"];\n0 -> s01  [label=\"mtu_req:0.2\"];\n0 -> s21  [label=\"mtu_req:0.8\"];\n0 -> s21  [label=\"mtu_req:1.0\"];\n0 -> s01  [label=\"pairing_req:0.2\"];\n0 -> s11  [label=\"pairing_req:0.8\"];\n0 -> s11  [label=\"pairing_req:1.0\"];\ns00 -> s01  [label=\"length_req:0.2\"];\ns00 -> s00  [label=\"length_req:0.8\"];\ns00 -> s00  [label=\"length_req:1.0\"];\ns00 -> s01  [label=\"length_rsp:0.2\"];\ns00 -> s04  [label=\"length_rsp:0.8\"];\ns00 -> s04  [label=\"length_rsp:1.0\"];\ns00 -> s01  [label=\"feature_req:0.2\"];\ns00 -> s02  [label=\"feature_req:0.8\"];\ns00 -> s02  [label=\"feature_req:1.0\"];\ns00 -> s01  [label=\"feature_rsp:0.2\"];\ns00 -> s45  [label=\"feature_rsp:0.8\"];\ns00 -> s45  [label=\"feature_rsp:1.0\"];\ns00 -> s01  [label=\"version_req:0.2\"];\ns00 -> s32  [label=\"version_req:0.8\"];\ns00 -> s32  [label=\"version_req:1.0\"];\ns00 -> s01  [label=\"mtu_req:0.2\"];\ns00 -> s21  [label=\"mtu_req:0.8\"];\ns00 -> s21  [label=\"mtu_req:1.0\"];\ns00 -> s01  [label=\"pairing_req:0.2\"];\ns00 -> s11  [label=\"pairing_req:0.8\"];\ns00 -> s11  [label=\"pairing_req:1.0\"];\ns01 -> s01  [label=\"length_req:0.2\"];\ns01 -> s00  [label=\"length_req:0.8\"];\ns01 -> s00  [label=\"length_req:1.0\"];\ns01 -> s01  [label=\"length_rsp:0.2\"];\ns01 -> s04  [label=\"length_rsp:0.8\"];\ns01 -> s04  [label=\"length_rsp:1.0\"];\ns01 -> s01  [label=\"feature_req:0.2\"];\ns01 -> s02  [label=\"feature_req:0.8\"];\ns01 -> s02  [label=\"feature_req:1.0\"];\ns01 -> s01  [label=\"feature_rsp:0.2\"];\ns01 -> s45  [label=\"feature_rsp:0.8\"];\ns01 -> s45  [label=\"feature_rsp:1.0\"];\ns01 -> s01  [label=\"version_req:0.2\"];\ns01 -> s32  [label=\"version_req:0.8\"];\ns01 -> s32  [label=\"version_req:1.0\"];\ns01 -> s01  [label=\"mtu_req:0.2\"];\ns01 -> s21  [label=\"mtu_req:0.8\"];\ns01 -> s21  [label=\"mtu_req:1.0\"];\ns01 -> s01  [label=\"pairing_req:0.2\"];\ns01 -> s11  [label=\"pairing_req:0.8\"];\ns01 -> s11  [label=\"pairing_req:1.0\"];\ns02 -> s01  [label=\"length_req:0.2\"];\ns02 -> s00  [label=\"length_req:0.8\"];\ns02 -> s00  [label=\"length_req:1.0\"];\ns02 -> s01  [label=\"length_rsp:0.2\"];\ns02 -> s04  [label=\"length_rsp:0.8\"];\ns02 -> s04  [label=\"length_rsp:1.0\"];\ns02 -> s01  [label=\"feature_req:0.2\"];\ns02 -> s02  [label=\"feature_req:0.8\"];\ns02 -> s02  [label=\"feature_req:1.0\"];\ns02 -> s01  [label=\"feature_rsp:0.2\"];\ns02 -> s45  [label=\"feature_rsp:0.8\"];\ns02 -> s45  [label=\"feature_rsp:1.0\"];\ns02 -> s01  [label=\"version_req:0.2\"];\ns02 -> s32  [label=\"version_req:0.8\"];\ns02 -> s32  [label=\"version_req:1.0\"];\ns02 -> s01  [label=\"mtu_req:0.2\"];\ns02 -> s21  [label=\"mtu_req:0.8\"];\ns02 -> s21  [label=\"mtu_req:1.0\"];\ns02 -> s01  [label=\"pairing_req:0.2\"];\ns02 -> s11  [label=\"pairing_req:0.8\"];\ns02 -> s11  [label=\"pairing_req:1.0\"];\ns03 -> s01  [label=\"length_req:0.2\"];\ns03 -> s00  [label=\"length_req:0.8\"];\ns03 -> s00  [label=\"length_req:1.0\"];\ns03 -> s01  [label=\"length_rsp:0.2\"];\ns03 -> s04  [label=\"length_rsp:0.8\"];\ns03 -> s04  [label=\"length_rsp:1.0\"];\ns03 -> s01  [label=\"feature_req:0.2\"];\ns03 -> s02  [label=\"feature_req:0.8\"];\ns03 -> s02  [label=\"feature_req:1.0\"];\ns03 -> s01  [label=\"feature_rsp:0.2\"];\ns03 -> s45  [label=\"feature_rsp:0.8\"];\ns03 -> s45  [label=\"feature_rsp:1.0\"];\ns03 -> s01  [label=\"version_req:0.2\"];\ns03 -> s32  [label=\"version_req:0.8\"];\ns03 -> s32  [label=\"version_req:1.0\"];\ns03 -> s01  [label=\"mtu_req:0.2\"];\ns03 -> s21  [label=\"mtu_req:0.8\"];\ns03 -> s21  [label=\"mtu_req:1.0\"];\ns03 -> s01  [label=\"pairing_req:0.2\"];\ns03 -> s11  [label=\"pairing_req:0.8\"];\ns03 -> s11  [label=\"pairing_req:1.0\"];\ns04 -> s01  [label=\"length_req:0.2\"];\ns04 -> s00  [label=\"length_req:0.8\"];\ns04 -> s00  [label=\"length_req:1.0\"];\ns04 -> s01  [label=\"length_rsp:0.2\"];\ns04 -> s04  [label=\"length_rsp:0.8\"];\ns04 -> s04  [label=\"length_rsp:1.0\"];\ns04 -> s01  [label=\"feature_req:0.2\"];\ns04 -> s02  [label=\"feature_req:0.8\"];\ns04 -> s02  [label=\"feature_req:1.0\"];\ns04 -> s01  [label=\"feature_rsp:0.2\"];\ns04 -> s45  [label=\"feature_rsp:0.8\"];\ns04 -> s45  [label=\"feature_rsp:1.0\"];\ns04 -> s01  [label=\"version_req:0.2\"];\ns04 -> s32  [label=\"version_req:0.8\"];\ns04 -> s32  [label=\"version_req:1.0\"];\ns04 -> s01  [label=\"mtu_req:0.2\"];\ns04 -> s21  [label=\"mtu_req:0.8\"];\ns04 -> s21  [label=\"mtu_req:1.0\"];\ns04 -> s01  [label=\"pairing_req:0.2\"];\ns04 -> s11  [label=\"pairing_req:0.8\"];\ns04 -> s11  [label=\"pairing_req:1.0\"];\ns10 -> s12  [label=\"length_req:1.0\"];\ns10 -> s13  [label=\"length_rsp:1.0\"];\ns10 -> s10  [label=\"feature_req:1.0\"];\ns10 -> s102  [label=\"feature_rsp:1.0\"];\ns10 -> s92  [label=\"version_req:1.0\"];\ns10 -> s81  [label=\"mtu_req:1.0\"];\ns10 -> s11  [label=\"pairing_req:1.0\"];\ns11 -> s12  [label=\"length_req:1.0\"];\ns11 -> s13  [label=\"length_rsp:1.0\"];\ns11 -> s10  [label=\"feature_req:1.0\"];\ns11 -> s102  [label=\"feature_rsp:1.0\"];\ns11 -> s92  [label=\"version_req:1.0\"];\ns11 -> s81  [label=\"mtu_req:1.0\"];\ns11 -> s11  [label=\"pairing_req:1.0\"];\ns12 -> s12  [label=\"length_req:1.0\"];\ns12 -> s13  [label=\"length_rsp:1.0\"];\ns12 -> s10  [label=\"feature_req:1.0\"];\ns12 -> s102  [label=\"feature_rsp:1.0\"];\ns12 -> s92  [label=\"version_req:1.0\"];\ns12 -> s81  [label=\"mtu_req:1.0\"];\ns12 -> s11  [label=\"pairing_req:1.0\"];\ns13 -> s12  [label=\"length_req:1.0\"];\ns13 -> s13  [label=\"length_rsp:1.0\"];\ns13 -> s10  [label=\"feature_req:1.0\"];\ns13 -> s102  [label=\"feature_rsp:1.0\"];\ns13 -> s92  [label=\"version_req:1.0\"];\ns13 -> s81  [label=\"mtu_req:1.0\"];\ns13 -> s11  [label=\"pairing_req:1.0\"];\ns20 -> s22  [label=\"length_req:1.0\"];\ns20 -> s23  [label=\"length_rsp:1.0\"];\ns20 -> s20  [label=\"feature_req:1.0\"];\ns20 -> s42  [label=\"feature_rsp:1.0\"];\ns20 -> s72  [label=\"version_req:1.0\"];\ns20 -> s21  [label=\"mtu_req:1.0\"];\ns20 -> s81  [label=\"pairing_req:1.0\"];\ns21 -> s22  [label=\"length_req:1.0\"];\ns21 -> s23  [label=\"length_rsp:1.0\"];\ns21 -> s20  [label=\"feature_req:1.0\"];\ns21 -> s42  [label=\"feature_rsp:1.0\"];\ns21 -> s72  [label=\"version_req:1.0\"];\ns21 -> s21  [label=\"mtu_req:1.0\"];\ns21 -> s81  [label=\"pairing_req:1.0\"];\ns22 -> s22  [label=\"length_req:1.0\"];\ns22 -> s23  [label=\"length_rsp:1.0\"];\ns22 -> s20  [label=\"feature_req:1.0\"];\ns22 -> s42  [label=\"feature_rsp:1.0\"];\ns22 -> s72  [label=\"version_req:1.0\"];\ns22 -> s21  [label=\"mtu_req:1.0\"];\ns22 -> s81  [label=\"pairing_req:1.0\"];\ns23 -> s22  [label=\"length_req:1.0\"];\ns23 -> s23  [label=\"length_rsp:1.0\"];\ns23 -> s20  [label=\"feature_req:1.0\"];\ns23 -> s42  [label=\"feature_rsp:1.0\"];\ns23 -> s72  [label=\"version_req:1.0\"];\ns23 -> s21  [label=\"mtu_req:1.0\"];\ns23 -> s81  [label=\"pairing_req:1.0\"];\ns30 -> s31  [label=\"length_req:1.0\"];\ns30 -> s34  [label=\"length_rsp:1.0\"];\ns30 -> s33  [label=\"feature_req:1.0\"];\ns30 -> s66  [label=\"feature_rsp:1.0\"];\ns30 -> s30  [label=\"version_req:1.0\"];\ns30 -> s70  [label=\"mtu_req:1.0\"];\ns30 -> s90  [label=\"pairing_req:1.0\"];\ns31 -> s31  [label=\"length_req:1.0\"];\ns31 -> s34  [label=\"length_rsp:1.0\"];\ns31 -> s33  [label=\"feature_req:1.0\"];\ns31 -> s66  [label=\"feature_rsp:1.0\"];\ns31 -> s30  [label=\"version_req:1.0\"];\ns31 -> s70  [label=\"mtu_req:1.0\"];\ns31 -> s90  [label=\"pairing_req:1.0\"];\ns32 -> s31  [label=\"length_req:1.0\"];\ns32 -> s34  [label=\"length_rsp:1.0\"];\ns32 -> s33  [label=\"feature_req:1.0\"];\ns32 -> s66  [label=\"feature_rsp:1.0\"];\ns32 -> s30  [label=\"version_req:1.0\"];\ns32 -> s70  [label=\"mtu_req:1.0\"];\ns32 -> s90  [label=\"pairing_req:1.0\"];\ns33 -> s31  [label=\"length_req:1.0\"];\ns33 -> s34  [label=\"length_rsp:1.0\"];\ns33 -> s33  [label=\"feature_req:1.0\"];\ns33 -> s66  [label=\"feature_rsp:1.0\"];\ns33 -> s30  [label=\"version_req:1.0\"];\ns33 -> s70  [label=\"mtu_req:1.0\"];\ns33 -> s90  [label=\"pairing_req:1.0\"];\ns34 -> s31  [label=\"length_req:1.0\"];\ns34 -> s34  [label=\"length_rsp:1.0\"];\ns34 -> s33  [label=\"feature_req:1.0\"];\ns34 -> s66  [label=\"feature_rsp:1.0\"];\ns34 -> s30  [label=\"version_req:1.0\"];\ns34 -> s70  [label=\"mtu_req:1.0\"];\ns34 -> s90  [label=\"pairing_req:1.0\"];\ns40 -> s41  [label=\"length_req:1.0\"];\ns40 -> s50  [label=\"length_rsp:1.0\"];\ns40 -> s43  [label=\"feature_req:1.0\"];\ns40 -> s40  [label=\"feature_rsp:1.0\"];\ns40 -> s62  [label=\"version_req:1.0\"];\ns40 -> s44  [label=\"mtu_req:1.0\"];\ns40 -> s106  [label=\"pairing_req:1.0\"];\ns41 -> s41  [label=\"length_req:1.0\"];\ns41 -> s50  [label=\"length_rsp:1.0\"];\ns41 -> s43  [label=\"feature_req:1.0\"];\ns41 -> s40  [label=\"feature_rsp:1.0\"];\ns41 -> s62  [label=\"version_req:1.0\"];\ns41 -> s44  [label=\"mtu_req:1.0\"];\ns41 -> s106  [label=\"pairing_req:1.0\"];\ns42 -> s41  [label=\"length_req:1.0\"];\ns42 -> s50  [label=\"length_rsp:1.0\"];\ns42 -> s43  [label=\"feature_req:1.0\"];\ns42 -> s40  [label=\"feature_rsp:1.0\"];\ns42 -> s62  [label=\"version_req:1.0\"];\ns42 -> s44  [label=\"mtu_req:1.0\"];\ns42 -> s106  [label=\"pairing_req:1.0\"];\ns43 -> s41  [label=\"length_req:1.0\"];\ns43 -> s50  [label=\"length_rsp:1.0\"];\ns43 -> s43  [label=\"feature_req:1.0\"];\ns43 -> s40  [label=\"feature_rsp:1.0\"];\ns43 -> s62  [label=\"version_req:1.0\"];\ns43 -> s44  [label=\"mtu_req:1.0\"];\ns43 -> s106  [label=\"pairing_req:1.0\"];\ns44 -> s41  [label=\"length_req:1.0\"];\ns44 -> s50  [label=\"length_rsp:1.0\"];\ns44 -> s43  [label=\"feature_req:1.0\"];\ns44 -> s40  [label=\"feature_rsp:1.0\"];\ns44 -> s62  [label=\"version_req:1.0\"];\ns44 -> s44  [label=\"mtu_req:1.0\"];\ns44 -> s106  [label=\"pairing_req:1.0\"];\ns45 -> s41  [label=\"length_req:1.0\"];\ns45 -> s50  [label=\"length_rsp:1.0\"];\ns45 -> s43  [label=\"feature_req:1.0\"];\ns45 -> s40  [label=\"feature_rsp:1.0\"];\ns45 -> s62  [label=\"version_req:1.0\"];\ns45 -> s44  [label=\"mtu_req:1.0\"];\ns45 -> s106  [label=\"pairing_req:1.0\"];\ns50 -> s03  [label=\"length_req:0.1\"];\ns50 -> s51  [label=\"length_req:0.9\"];\ns50 -> s03  [label=\"length_rsp:0.1\"];\ns50 -> s54  [label=\"length_rsp:0.9\"];\ns50 -> s52  [label=\"feature_req:1.0\"];\ns50 -> s03  [label=\"feature_rsp:0.1\"];\ns50 -> s50  [label=\"feature_rsp:0.9\"];\ns50 -> s142  [label=\"version_req:1.0\"];\ns50 -> s53  [label=\"mtu_req:1.0\"];\ns50 -> s135  [label=\"pairing_req:1.0\"];\ns51 -> s03  [label=\"length_req:0.1\"];\ns51 -> s51  [label=\"length_req:0.9\"];\ns51 -> s03  [label=\"length_rsp:0.1\"];\ns51 -> s54  [label=\"length_rsp:0.9\"];\ns51 -> s52  [label=\"feature_req:1.0\"];\ns51 -> s03  [label=\"feature_rsp:0.1\"];\ns51 -> s50  [label=\"feature_rsp:0.9\"];\ns51 -> s142  [label=\"version_req:1.0\"];\ns51 -> s53  [label=\"mtu_req:1.0\"];\ns51 -> s135  [label=\"pairing_req:1.0\"];\ns52 -> s03  [label=\"length_req:0.1\"];\ns52 -> s51  [label=\"length_req:0.9\"];\ns52 -> s03  [label=\"length_rsp:0.1\"];\ns52 -> s54  [label=\"length_rsp:0.9\"];\ns52 -> s52  [label=\"feature_req:1.0\"];\ns52 -> s03  [label=\"feature_rsp:0.1\"];\ns52 -> s50  [label=\"feature_rsp:0.9\"];\ns52 -> s142  [label=\"version_req:1.0\"];\ns52 -> s53  [label=\"mtu_req:1.0\"];\ns52 -> s135  [label=\"pairing_req:1.0\"];\ns53 -> s03  [label=\"length_req:0.1\"];\ns53 -> s51  [label=\"length_req:0.9\"];\ns53 -> s03  [label=\"length_rsp:0.1\"];\ns53 -> s54  [label=\"length_rsp:0.9\"];\ns53 -> s52  [label=\"feature_req:1.0\"];\ns53 -> s03  [label=\"feature_rsp:0.1\"];\ns53 -> s50  [label=\"feature_rsp:0.9\"];\ns53 -> s142  [label=\"version_req:1.0\"];\ns53 -> s53  [label=\"mtu_req:1.0\"];\ns53 -> s135  [label=\"pairing_req:1.0\"];\ns54 -> s03  [label=\"length_req:0.1\"];\ns54 -> s51  [label=\"length_req:0.9\"];\ns54 -> s03  [label=\"length_rsp:0.1\"];\ns54 -> s54  [label=\"length_rsp:0.9\"];\ns54 -> s52  [label=\"feature_req:1.0\"];\ns54 -> s03  [label=\"feature_rsp:0.1\"];\ns54 -> s50  [label=\"feature_rsp:0.9\"];\ns54 -> s142  [label=\"version_req:1.0\"];\ns54 -> s53  [label=\"mtu_req:1.0\"];\ns54 -> s135  [label=\"pairing_req:1.0\"];\ns60 -> s66  [label=\"length_req:0.2\"];\ns60 -> s61  [label=\"length_req:0.8\"];\ns60 -> s61  [label=\"length_req:1.0\"];\ns60 -> s66  [label=\"length_rsp:0.2\"];\ns60 -> s140  [label=\"length_rsp:0.8\"];\ns60 -> s140  [label=\"length_rsp:1.0\"];\ns60 -> s66  [label=\"feature_req:0.2\"];\ns60 -> s64  [label=\"feature_req:0.8\"];\ns60 -> s64  [label=\"feature_req:1.0\"];\ns60 -> s66  [label=\"feature_rsp:0.2\"];\ns60 -> s60  [label=\"feature_rsp:0.8\"];\ns60 -> s60  [label=\"feature_rsp:1.0\"];\ns60 -> s66  [label=\"version_req:0.2\"];\ns60 -> s60  [label=\"version_req:0.8\"];\ns60 -> s60  [label=\"version_req:1.0\"];\ns60 -> s66  [label=\"mtu_req:0.2\"];\ns60 -> s65  [label=\"mtu_req:0.8\"];\ns60 -> s65  [label=\"mtu_req:1.0\"];\ns60 -> s66  [label=\"pairing_req:0.2\"];\ns60 -> s127  [label=\"pairing_req:0.8\"];\ns60 -> s127  [label=\"pairing_req:1.0\"];\ns61 -> s66  [label=\"length_req:0.2\"];\ns61 -> s61  [label=\"length_req:0.8\"];\ns61 -> s61  [label=\"length_req:1.0\"];\ns61 -> s66  [label=\"length_rsp:0.2\"];\ns61 -> s140  [label=\"length_rsp:0.8\"];\ns61 -> s140  [label=\"length_rsp:1.0\"];\ns61 -> s66  [label=\"feature_req:0.2\"];\ns61 -> s64  [label=\"feature_req:0.8\"];\ns61 -> s64  [label=\"feature_req:1.0\"];\ns61 -> s66  [label=\"feature_rsp:0.2\"];\ns61 -> s60  [label=\"feature_rsp:0.8\"];\ns61 -> s60  [label=\"feature_rsp:1.0\"];\ns61 -> s66  [label=\"version_req:0.2\"];\ns61 -> s60  [label=\"version_req:0.8\"];\ns61 -> s60  [label=\"version_req:1.0\"];\ns61 -> s66  [label=\"mtu_req:0.2\"];\ns61 -> s65  [label=\"mtu_req:0.8\"];\ns61 -> s65  [label=\"mtu_req:1.0\"];\ns61 -> s66  [label=\"pairing_req:0.2\"];\ns61 -> s127  [label=\"pairing_req:0.8\"];\ns61 -> s127  [label=\"pairing_req:1.0\"];\ns62 -> s66  [label=\"length_req:0.2\"];\ns62 -> s61  [label=\"length_req:0.8\"];\ns62 -> s61  [label=\"length_req:1.0\"];\ns62 -> s66  [label=\"length_rsp:0.2\"];\ns62 -> s140  [label=\"length_rsp:0.8\"];\ns62 -> s140  [label=\"length_rsp:1.0\"];\ns62 -> s66  [label=\"feature_req:0.2\"];\ns62 -> s64  [label=\"feature_req:0.8\"];\ns62 -> s64  [label=\"feature_req:1.0\"];\ns62 -> s66  [label=\"feature_rsp:0.2\"];\ns62 -> s60  [label=\"feature_rsp:0.8\"];\ns62 -> s60  [label=\"feature_rsp:1.0\"];\ns62 -> s66  [label=\"version_req:0.2\"];\ns62 -> s60  [label=\"version_req:0.8\"];\ns62 -> s60  [label=\"version_req:1.0\"];\ns62 -> s66  [label=\"mtu_req:0.2\"];\ns62 -> s65  [label=\"mtu_req:0.8\"];\ns62 -> s65  [label=\"mtu_req:1.0\"];\ns62 -> s66  [label=\"pairing_req:0.2\"];\ns62 -> s127  [label=\"pairing_req:0.8\"];\ns62 -> s127  [label=\"pairing_req:1.0\"];\ns63 -> s66  [label=\"length_req:0.2\"];\ns63 -> s61  [label=\"length_req:0.8\"];\ns63 -> s61  [label=\"length_req:1.0\"];\ns63 -> s66  [label=\"length_rsp:0.2\"];\ns63 -> s140  [label=\"length_rsp:0.8\"];\ns63 -> s140  [label=\"length_rsp:1.0\"];\ns63 -> s66  [label=\"feature_req:0.2\"];\ns63 -> s64  [label=\"feature_req:0.8\"];\ns63 -> s64  [label=\"feature_req:1.0\"];\ns63 -> s66  [label=\"feature_rsp:0.2\"];\ns63 -> s60  [label=\"feature_rsp:0.8\"];\ns63 -> s60  [label=\"feature_rsp:1.0\"];\ns63 -> s66  [label=\"version_req:0.2\"];\ns63 -> s60  [label=\"version_req:0.8\"];\ns63 -> s60  [label=\"version_req:1.0\"];\ns63 -> s66  [label=\"mtu_req:0.2\"];\ns63 -> s65  [label=\"mtu_req:0.8\"];\ns63 -> s65  [label=\"mtu_req:1.0\"];\ns63 -> s66  [label=\"pairing_req:0.2\"];\ns63 -> s127  [label=\"pairing_req:0.8\"];\ns63 -> s127  [label=\"pairing_req:1.0\"];\ns64 -> s66  [label=\"length_req:0.2\"];\ns64 -> s61  [label=\"length_req:0.8\"];\ns64 -> s61  [label=\"length_req:1.0\"];\ns64 -> s66  [label=\"length_rsp:0.2\"];\ns64 -> s140  [label=\"length_rsp:0.8\"];\ns64 -> s140  [label=\"length_rsp:1.0\"];\ns64 -> s66  [label=\"feature_req:0.2\"];\ns64 -> s64  [label=\"feature_req:0.8\"];\ns64 -> s64  [label=\"feature_req:1.0\"];\ns64 -> s66  [label=\"feature_rsp:0.2\"];\ns64 -> s60  [label=\"feature_rsp:0.8\"];\ns64 -> s60  [label=\"feature_rsp:1.0\"];\ns64 -> s66  [label=\"version_req:0.2\"];\ns64 -> s60  [label=\"version_req:0.8\"];\ns64 -> s60  [label=\"version_req:1.0\"];\ns64 -> s66  [label=\"mtu_req:0.2\"];\ns64 -> s65  [label=\"mtu_req:0.8\"];\ns64 -> s65  [label=\"mtu_req:1.0\"];\ns64 -> s66  [label=\"pairing_req:0.2\"];\ns64 -> s127  [label=\"pairing_req:0.8\"];\ns64 -> s127  [label=\"pairing_req:1.0\"];\ns65 -> s66  [label=\"length_req:0.2\"];\ns65 -> s61  [label=\"length_req:0.8\"];\ns65 -> s61  [label=\"length_req:1.0\"];\ns65 -> s66  [label=\"length_rsp:0.2\"];\ns65 -> s140  [label=\"length_rsp:0.8\"];\ns65 -> s140  [label=\"length_rsp:1.0\"];\ns65 -> s66  [label=\"feature_req:0.2\"];\ns65 -> s64  [label=\"feature_req:0.8\"];\ns65 -> s64  [label=\"feature_req:1.0\"];\ns65 -> s66  [label=\"feature_rsp:0.2\"];\ns65 -> s60  [label=\"feature_rsp:0.8\"];\ns65 -> s60  [label=\"feature_rsp:1.0\"];\ns65 -> s66  [label=\"version_req:0.2\"];\ns65 -> s60  [label=\"version_req:0.8\"];\ns65 -> s60  [label=\"version_req:1.0\"];\ns65 -> s66  [label=\"mtu_req:0.2\"];\ns65 -> s65  [label=\"mtu_req:0.8\"];\ns65 -> s65  [label=\"mtu_req:1.0\"];\ns65 -> s66  [label=\"pairing_req:0.2\"];\ns65 -> s127  [label=\"pairing_req:0.8\"];\ns65 -> s127  [label=\"pairing_req:1.0\"];\ns66 -> s66  [label=\"length_req:0.2\"];\ns66 -> s61  [label=\"length_req:0.8\"];\ns66 -> s61  [label=\"length_req:1.0\"];\ns66 -> s66  [label=\"length_rsp:0.2\"];\ns66 -> s140  [label=\"length_rsp:0.8\"];\ns66 -> s140  [label=\"length_rsp:1.0\"];\ns66 -> s66  [label=\"feature_req:0.2\"];\ns66 -> s64  [label=\"feature_req:0.8\"];\ns66 -> s64  [label=\"feature_req:1.0\"];\ns66 -> s66  [label=\"feature_rsp:0.2\"];\ns66 -> s60  [label=\"feature_rsp:0.8\"];\ns66 -> s60  [label=\"feature_rsp:1.0\"];\ns66 -> s66  [label=\"version_req:0.2\"];\ns66 -> s60  [label=\"version_req:0.8\"];\ns66 -> s60  [label=\"version_req:1.0\"];\ns66 -> s66  [label=\"mtu_req:0.2\"];\ns66 -> s65  [label=\"mtu_req:0.8\"];\ns66 -> s65  [label=\"mtu_req:1.0\"];\ns66 -> s66  [label=\"pairing_req:0.2\"];\ns66 -> s127  [label=\"pairing_req:0.8\"];\ns66 -> s127  [label=\"pairing_req:1.0\"];\ns70 -> s71  [label=\"length_req:1.0\"];\ns70 -> s74  [label=\"length_rsp:1.0\"];\ns70 -> s73  [label=\"feature_req:1.0\"];\ns70 -> s63  [label=\"feature_rsp:1.0\"];\ns70 -> s70  [label=\"version_req:1.0\"];\ns70 -> s70  [label=\"mtu_req:1.0\"];\ns70 -> s110  [label=\"pairing_req:1.0\"];\ns71 -> s71  [label=\"length_req:1.0\"];\ns71 -> s74  [label=\"length_rsp:1.0\"];\ns71 -> s73  [label=\"feature_req:1.0\"];\ns71 -> s63  [label=\"feature_rsp:1.0\"];\ns71 -> s70  [label=\"version_req:1.0\"];\ns71 -> s70  [label=\"mtu_req:1.0\"];\ns71 -> s110  [label=\"pairing_req:1.0\"];\ns72 -> s71  [label=\"length_req:1.0\"];\ns72 -> s74  [label=\"length_rsp:1.0\"];\ns72 -> s73  [label=\"feature_req:1.0\"];\ns72 -> s63  [label=\"feature_rsp:1.0\"];\ns72 -> s70  [label=\"version_req:1.0\"];\ns72 -> s70  [label=\"mtu_req:1.0\"];\ns72 -> s110  [label=\"pairing_req:1.0\"];\ns73 -> s71  [label=\"length_req:1.0\"];\ns73 -> s74  [label=\"length_rsp:1.0\"];\ns73 -> s73  [label=\"feature_req:1.0\"];\ns73 -> s63  [label=\"feature_rsp:1.0\"];\ns73 -> s70  [label=\"version_req:1.0\"];\ns73 -> s70  [label=\"mtu_req:1.0\"];\ns73 -> s110  [label=\"pairing_req:1.0\"];\ns74 -> s71  [label=\"length_req:1.0\"];\ns74 -> s74  [label=\"length_rsp:1.0\"];\ns74 -> s73  [label=\"feature_req:1.0\"];\ns74 -> s63  [label=\"feature_rsp:1.0\"];\ns74 -> s70  [label=\"version_req:1.0\"];\ns74 -> s70  [label=\"mtu_req:1.0\"];\ns74 -> s110  [label=\"pairing_req:1.0\"];\ns80 -> s82  [label=\"length_req:1.0\"];\ns80 -> s23  [label=\"length_rsp:1.0\"];\ns80 -> s80  [label=\"feature_req:1.0\"];\ns80 -> s105  [label=\"feature_rsp:1.0\"];\ns80 -> s112  [label=\"version_req:1.0\"];\ns80 -> s81  [label=\"mtu_req:1.0\"];\ns80 -> s81  [label=\"pairing_req:1.0\"];\ns81 -> s82  [label=\"length_req:1.0\"];\ns81 -> s23  [label=\"length_rsp:1.0\"];\ns81 -> s80  [label=\"feature_req:1.0\"];\ns81 -> s105  [label=\"feature_rsp:1.0\"];\ns81 -> s112  [label=\"version_req:1.0\"];\ns81 -> s81  [label=\"mtu_req:1.0\"];\ns81 -> s81  [label=\"pairing_req:1.0\"];\ns82 -> s82  [label=\"length_req:1.0\"];\ns82 -> s23  [label=\"length_rsp:1.0\"];\ns82 -> s80  [label=\"feature_req:1.0\"];\ns82 -> s105  [label=\"feature_rsp:1.0\"];\ns82 -> s112  [label=\"version_req:1.0\"];\ns82 -> s81  [label=\"mtu_req:1.0\"];\ns82 -> s81  [label=\"pairing_req:1.0\"];\ns90 -> s91  [label=\"length_req:1.0\"];\ns90 -> s94  [label=\"length_rsp:1.0\"];\ns90 -> s93  [label=\"feature_req:1.0\"];\ns90 -> s123  [label=\"feature_rsp:1.0\"];\ns90 -> s90  [label=\"version_req:1.0\"];\ns90 -> s110  [label=\"mtu_req:1.0\"];\ns90 -> s90  [label=\"pairing_req:1.0\"];\ns91 -> s91  [label=\"length_req:1.0\"];\ns91 -> s94  [label=\"length_rsp:1.0\"];\ns91 -> s93  [label=\"feature_req:1.0\"];\ns91 -> s123  [label=\"feature_rsp:1.0\"];\ns91 -> s90  [label=\"version_req:1.0\"];\ns91 -> s110  [label=\"mtu_req:1.0\"];\ns91 -> s90  [label=\"pairing_req:1.0\"];\ns92 -> s91  [label=\"length_req:1.0\"];\ns92 -> s94  [label=\"length_rsp:1.0\"];\ns92 -> s93  [label=\"feature_req:1.0\"];\ns92 -> s123  [label=\"feature_rsp:1.0\"];\ns92 -> s90  [label=\"version_req:1.0\"];\ns92 -> s110  [label=\"mtu_req:1.0\"];\ns92 -> s90  [label=\"pairing_req:1.0\"];\ns93 -> s91  [label=\"length_req:1.0\"];\ns93 -> s94  [label=\"length_rsp:1.0\"];\ns93 -> s93  [label=\"feature_req:1.0\"];\ns93 -> s123  [label=\"feature_rsp:1.0\"];\ns93 -> s90  [label=\"version_req:1.0\"];\ns93 -> s110  [label=\"mtu_req:1.0\"];\ns93 -> s90  [label=\"pairing_req:1.0\"];\ns94 -> s91  [label=\"length_req:1.0\"];\ns94 -> s94  [label=\"length_rsp:1.0\"];\ns94 -> s93  [label=\"feature_req:1.0\"];\ns94 -> s123  [label=\"feature_rsp:1.0\"];\ns94 -> s90  [label=\"version_req:1.0\"];\ns94 -> s110  [label=\"mtu_req:1.0\"];\ns94 -> s90  [label=\"pairing_req:1.0\"];\ns100 -> s03  [label=\"length_req:0.1\"];\ns100 -> s101  [label=\"length_req:0.9\"];\ns100 -> s03  [label=\"length_rsp:0.1\"];\ns100 -> s130  [label=\"length_rsp:0.9\"];\ns100 -> s103  [label=\"feature_req:1.0\"];\ns100 -> s03  [label=\"feature_rsp:0.1\"];\ns100 -> s100  [label=\"feature_rsp:0.9\"];\ns100 -> s122  [label=\"version_req:1.0\"];\ns100 -> s104  [label=\"mtu_req:1.0\"];\ns100 -> s100  [label=\"pairing_req:1.0\"];\ns101 -> s03  [label=\"length_req:0.1\"];\ns101 -> s101  [label=\"length_req:0.9\"];\ns101 -> s03  [label=\"length_rsp:0.1\"];\ns101 -> s130  [label=\"length_rsp:0.9\"];\ns101 -> s103  [label=\"feature_req:1.0\"];\ns101 -> s03  [label=\"feature_rsp:0.1\"];\ns101 -> s100  [label=\"feature_rsp:0.9\"];\ns101 -> s122  [label=\"version_req:1.0\"];\ns101 -> s104  [label=\"mtu_req:1.0\"];\ns101 -> s100  [label=\"pairing_req:1.0\"];\ns102 -> s03  [label=\"length_req:0.1\"];\ns102 -> s101  [label=\"length_req:0.9\"];\ns102 -> s03  [label=\"length_rsp:0.1\"];\ns102 -> s130  [label=\"length_rsp:0.9\"];\ns102 -> s103  [label=\"feature_req:1.0\"];\ns102 -> s03  [label=\"feature_rsp:0.1\"];\ns102 -> s100  [label=\"feature_rsp:0.9\"];\ns102 -> s122  [label=\"version_req:1.0\"];\ns102 -> s104  [label=\"mtu_req:1.0\"];\ns102 -> s100  [label=\"pairing_req:1.0\"];\ns103 -> s03  [label=\"length_req:0.1\"];\ns103 -> s101  [label=\"length_req:0.9\"];\ns103 -> s03  [label=\"length_rsp:0.1\"];\ns103 -> s130  [label=\"length_rsp:0.9\"];\ns103 -> s103  [label=\"feature_req:1.0\"];\ns103 -> s03  [label=\"feature_rsp:0.1\"];\ns103 -> s100  [label=\"feature_rsp:0.9\"];\ns103 -> s122  [label=\"version_req:1.0\"];\ns103 -> s104  [label=\"mtu_req:1.0\"];\ns103 -> s100  [label=\"pairing_req:1.0\"];\ns104 -> s03  [label=\"length_req:0.1\"];\ns104 -> s101  [label=\"length_req:0.9\"];\ns104 -> s03  [label=\"length_rsp:0.1\"];\ns104 -> s130  [label=\"length_rsp:0.9\"];\ns104 -> s103  [label=\"feature_req:1.0\"];\ns104 -> s03  [label=\"feature_rsp:0.1\"];\ns104 -> s100  [label=\"feature_rsp:0.9\"];\ns104 -> s122  [label=\"version_req:1.0\"];\ns104 -> s104  [label=\"mtu_req:1.0\"];\ns104 -> s100  [label=\"pairing_req:1.0\"];\ns105 -> s03  [label=\"length_req:0.1\"];\ns105 -> s101  [label=\"length_req:0.9\"];\ns105 -> s03  [label=\"length_rsp:0.1\"];\ns105 -> s130  [label=\"length_rsp:0.9\"];\ns105 -> s103  [label=\"feature_req:1.0\"];\ns105 -> s03  [label=\"feature_rsp:0.1\"];\ns105 -> s100  [label=\"feature_rsp:0.9\"];\ns105 -> s122  [label=\"version_req:1.0\"];\ns105 -> s104  [label=\"mtu_req:1.0\"];\ns105 -> s100  [label=\"pairing_req:1.0\"];\ns106 -> s03  [label=\"length_req:0.1\"];\ns106 -> s101  [label=\"length_req:0.9\"];\ns106 -> s03  [label=\"length_rsp:0.1\"];\ns106 -> s130  [label=\"length_rsp:0.9\"];\ns106 -> s103  [label=\"feature_req:1.0\"];\ns106 -> s03  [label=\"feature_rsp:0.1\"];\ns106 -> s100  [label=\"feature_rsp:0.9\"];\ns106 -> s122  [label=\"version_req:1.0\"];\ns106 -> s104  [label=\"mtu_req:1.0\"];\ns106 -> s100  [label=\"pairing_req:1.0\"];\ns110 -> s111  [label=\"length_req:1.0\"];\ns110 -> s114  [label=\"length_rsp:1.0\"];\ns110 -> s113  [label=\"feature_req:1.0\"];\ns110 -> s126  [label=\"feature_rsp:1.0\"];\ns110 -> s110  [label=\"version_req:1.0\"];\ns110 -> s110  [label=\"mtu_req:1.0\"];\ns110 -> s110  [label=\"pairing_req:1.0\"];\ns111 -> s111  [label=\"length_req:1.0\"];\ns111 -> s114  [label=\"length_rsp:1.0\"];\ns111 -> s113  [label=\"feature_req:1.0\"];\ns111 -> s126  [label=\"feature_rsp:1.0\"];\ns111 -> s110  [label=\"version_req:1.0\"];\ns111 -> s110  [label=\"mtu_req:1.0\"];\ns111 -> s110  [label=\"pairing_req:1.0\"];\ns112 -> s111  [label=\"length_req:1.0\"];\ns112 -> s114  [label=\"length_rsp:1.0\"];\ns112 -> s113  [label=\"feature_req:1.0\"];\ns112 -> s126  [label=\"feature_rsp:1.0\"];\ns112 -> s110  [label=\"version_req:1.0\"];\ns112 -> s110  [label=\"mtu_req:1.0\"];\ns112 -> s110  [label=\"pairing_req:1.0\"];\ns113 -> s111  [label=\"length_req:1.0\"];\ns113 -> s114  [label=\"length_rsp:1.0\"];\ns113 -> s113  [label=\"feature_req:1.0\"];\ns113 -> s126  [label=\"feature_rsp:1.0\"];\ns113 -> s110  [label=\"version_req:1.0\"];\ns113 -> s110  [label=\"mtu_req:1.0\"];\ns113 -> s110  [label=\"pairing_req:1.0\"];\ns114 -> s111  [label=\"length_req:1.0\"];\ns114 -> s114  [label=\"length_rsp:1.0\"];\ns114 -> s113  [label=\"feature_req:1.0\"];\ns114 -> s126  [label=\"feature_rsp:1.0\"];\ns114 -> s110  [label=\"version_req:1.0\"];\ns114 -> s110  [label=\"mtu_req:1.0\"];\ns114 -> s110  [label=\"pairing_req:1.0\"];\ns120 -> s122  [label=\"length_req:0.2\"];\ns120 -> s121  [label=\"length_req:0.8\"];\ns120 -> s121  [label=\"length_req:1.0\"];\ns120 -> s122  [label=\"length_rsp:0.2\"];\ns120 -> s150  [label=\"length_rsp:0.8\"];\ns120 -> s150  [label=\"length_rsp:1.0\"];\ns120 -> s122  [label=\"feature_req:0.2\"];\ns120 -> s124  [label=\"feature_req:0.8\"];\ns120 -> s124  [label=\"feature_req:1.0\"];\ns120 -> s122  [label=\"feature_rsp:0.2\"];\ns120 -> s120  [label=\"feature_rsp:0.8\"];\ns120 -> s120  [label=\"feature_rsp:1.0\"];\ns120 -> s122  [label=\"version_req:0.2\"];\ns120 -> s120  [label=\"version_req:0.8\"];\ns120 -> s120  [label=\"version_req:1.0\"];\ns120 -> s122  [label=\"mtu_req:0.2\"];\ns120 -> s125  [label=\"mtu_req:0.8\"];\ns120 -> s125  [label=\"mtu_req:1.0\"];\ns120 -> s122  [label=\"pairing_req:0.2\"];\ns120 -> s120  [label=\"pairing_req:0.8\"];\ns120 -> s120  [label=\"pairing_req:1.0\"];\ns121 -> s122  [label=\"length_req:0.2\"];\ns121 -> s121  [label=\"length_req:0.8\"];\ns121 -> s121  [label=\"length_req:1.0\"];\ns121 -> s122  [label=\"length_rsp:0.2\"];\ns121 -> s150  [label=\"length_rsp:0.8\"];\ns121 -> s150  [label=\"length_rsp:1.0\"];\ns121 -> s122  [label=\"feature_req:0.2\"];\ns121 -> s124  [label=\"feature_req:0.8\"];\ns121 -> s124  [label=\"feature_req:1.0\"];\ns121 -> s122  [label=\"feature_rsp:0.2\"];\ns121 -> s120  [label=\"feature_rsp:0.8\"];\ns121 -> s120  [label=\"feature_rsp:1.0\"];\ns121 -> s122  [label=\"version_req:0.2\"];\ns121 -> s120  [label=\"version_req:0.8\"];\ns121 -> s120  [label=\"version_req:1.0\"];\ns121 -> s122  [label=\"mtu_req:0.2\"];\ns121 -> s125  [label=\"mtu_req:0.8\"];\ns121 -> s125  [label=\"mtu_req:1.0\"];\ns121 -> s122  [label=\"pairing_req:0.2\"];\ns121 -> s120  [label=\"pairing_req:0.8\"];\ns121 -> s120  [label=\"pairing_req:1.0\"];\ns122 -> s122  [label=\"length_req:0.2\"];\ns122 -> s121  [label=\"length_req:0.8\"];\ns122 -> s121  [label=\"length_req:1.0\"];\ns122 -> s122  [label=\"length_rsp:0.2\"];\ns122 -> s150  [label=\"length_rsp:0.8\"];\ns122 -> s150  [label=\"length_rsp:1.0\"];\ns122 -> s122  [label=\"feature_req:0.2\"];\ns122 -> s124  [label=\"feature_req:0.8\"];\ns122 -> s124  [label=\"feature_req:1.0\"];\ns122 -> s122  [label=\"feature_rsp:0.2\"];\ns122 -> s120  [label=\"feature_rsp:0.8\"];\ns122 -> s120  [label=\"feature_rsp:1.0\"];\ns122 -> s122  [label=\"version_req:0.2\"];\ns122 -> s120  [label=\"version_req:0.8\"];\ns122 -> s120  [label=\"version_req:1.0\"];\ns122 -> s122  [label=\"mtu_req:0.2\"];\ns122 -> s125  [label=\"mtu_req:0.8\"];\ns122 -> s125  [label=\"mtu_req:1.0\"];\ns122 -> s122  [label=\"pairing_req:0.2\"];\ns122 -> s120  [label=\"pairing_req:0.8\"];\ns122 -> s120  [label=\"pairing_req:1.0\"];\ns123 -> s122  [label=\"length_req:0.2\"];\ns123 -> s121  [label=\"length_req:0.8\"];\ns123 -> s121  [label=\"length_req:1.0\"];\ns123 -> s122  [label=\"length_rsp:0.2\"];\ns123 -> s150  [label=\"length_rsp:0.8\"];\ns123 -> s150  [label=\"length_rsp:1.0\"];\ns123 -> s122  [label=\"feature_req:0.2\"];\ns123 -> s124  [label=\"feature_req:0.8\"];\ns123 -> s124  [label=\"feature_req:1.0\"];\ns123 -> s122  [label=\"feature_rsp:0.2\"];\ns123 -> s120  [label=\"feature_rsp:0.8\"];\ns123 -> s120  [label=\"feature_rsp:1.0\"];\ns123 -> s122  [label=\"version_req:0.2\"];\ns123 -> s120  [label=\"version_req:0.8\"];\ns123 -> s120  [label=\"version_req:1.0\"];\ns123 -> s122  [label=\"mtu_req:0.2\"];\ns123 -> s125  [label=\"mtu_req:0.8\"];\ns123 -> s125  [label=\"mtu_req:1.0\"];\ns123 -> s122  [label=\"pairing_req:0.2\"];\ns123 -> s120  [label=\"pairing_req:0.8\"];\ns123 -> s120  [label=\"pairing_req:1.0\"];\ns124 -> s122  [label=\"length_req:0.2\"];\ns124 -> s121  [label=\"length_req:0.8\"];\ns124 -> s121  [label=\"length_req:1.0\"];\ns124 -> s122  [label=\"length_rsp:0.2\"];\ns124 -> s150  [label=\"length_rsp:0.8\"];\ns124 -> s150  [label=\"length_rsp:1.0\"];\ns124 -> s122  [label=\"feature_req:0.2\"];\ns124 -> s124  [label=\"feature_req:0.8\"];\ns124 -> s124  [label=\"feature_req:1.0\"];\ns124 -> s122  [label=\"feature_rsp:0.2\"];\ns124 -> s120  [label=\"feature_rsp:0.8\"];\ns124 -> s120  [label=\"feature_rsp:1.0\"];\ns124 -> s122  [label=\"version_req:0.2\"];\ns124 -> s120  [label=\"version_req:0.8\"];\ns124 -> s120  [label=\"version_req:1.0\"];\ns124 -> s122  [label=\"mtu_req:0.2\"];\ns124 -> s125  [label=\"mtu_req:0.8\"];\ns124 -> s125  [label=\"mtu_req:1.0\"];\ns124 -> s122  [label=\"pairing_req:0.2\"];\ns124 -> s120  [label=\"pairing_req:0.8\"];\ns124 -> s120  [label=\"pairing_req:1.0\"];\ns125 -> s122  [label=\"length_req:0.2\"];\ns125 -> s121  [label=\"length_req:0.8\"];\ns125 -> s121  [label=\"length_req:1.0\"];\ns125 -> s122  [label=\"length_rsp:0.2\"];\ns125 -> s150  [label=\"length_rsp:0.8\"];\ns125 -> s150  [label=\"length_rsp:1.0\"];\ns125 -> s122  [label=\"feature_req:0.2\"];\ns125 -> s124  [label=\"feature_req:0.8\"];\ns125 -> s124  [label=\"feature_req:1.0\"];\ns125 -> s122  [label=\"feature_rsp:0.2\"];\ns125 -> s120  [label=\"feature_rsp:0.8\"];\ns125 -> s120  [label=\"feature_rsp:1.0\"];\ns125 -> s122  [label=\"version_req:0.2\"];\ns125 -> s120  [label=\"version_req:0.8\"];\ns125 -> s120  [label=\"version_req:1.0\"];\ns125 -> s122  [label=\"mtu_req:0.2\"];\ns125 -> s125  [label=\"mtu_req:0.8\"];\ns125 -> s125  [label=\"mtu_req:1.0\"];\ns125 -> s122  [label=\"pairing_req:0.2\"];\ns125 -> s120  [label=\"pairing_req:0.8\"];\ns125 -> s120  [label=\"pairing_req:1.0\"];\ns126 -> s122  [label=\"length_req:0.2\"];\ns126 -> s121  [label=\"length_req:0.8\"];\ns126 -> s121  [label=\"length_req:1.0\"];\ns126 -> s122  [label=\"length_rsp:0.2\"];\ns126 -> s150  [label=\"length_rsp:0.8\"];\ns126 -> s150  [label=\"length_rsp:1.0\"];\ns126 -> s122  [label=\"feature_req:0.2\"];\ns126 -> s124  [label=\"feature_req:0.8\"];\ns126 -> s124  [label=\"feature_req:1.0\"];\ns126 -> s122  [label=\"feature_rsp:0.2\"];\ns126 -> s120  [label=\"feature_rsp:0.8\"];\ns126 -> s120  [label=\"feature_rsp:1.0\"];\ns126 -> s122  [label=\"version_req:0.2\"];\ns126 -> s120  [label=\"version_req:0.8\"];\ns126 -> s120  [label=\"version_req:1.0\"];\ns126 -> s122  [label=\"mtu_req:0.2\"];\ns126 -> s125  [label=\"mtu_req:0.8\"];\ns126 -> s125  [label=\"mtu_req:1.0\"];\ns126 -> s122  [label=\"pairing_req:0.2\"];\ns126 -> s120  [label=\"pairing_req:0.8\"];\ns126 -> s120  [label=\"pairing_req:1.0\"];\ns127 -> s122  [label=\"length_req:0.2\"];\ns127 -> s121  [label=\"length_req:0.8\"];\ns127 -> s121  [label=\"length_req:1.0\"];\ns127 -> s122  [label=\"length_rsp:0.2\"];\ns127 -> s150  [label=\"length_rsp:0.8\"];\ns127 -> s150  [label=\"length_rsp:1.0\"];\ns127 -> s122  [label=\"feature_req:0.2\"];\ns127 -> s124  [label=\"feature_req:0.8\"];\ns127 -> s124  [label=\"feature_req:1.0\"];\ns127 -> s122  [label=\"feature_rsp:0.2\"];\ns127 -> s120  [label=\"feature_rsp:0.8\"];\ns127 -> s120  [label=\"feature_rsp:1.0\"];\ns127 -> s122  [label=\"version_req:0.2\"];\ns127 -> s120  [label=\"version_req:0.8\"];\ns127 -> s120  [label=\"version_req:1.0\"];\ns127 -> s122  [label=\"mtu_req:0.2\"];\ns127 -> s125  [label=\"mtu_req:0.8\"];\ns127 -> s125  [label=\"mtu_req:1.0\"];\ns127 -> s122  [label=\"pairing_req:0.2\"];\ns127 -> s120  [label=\"pairing_req:0.8\"];\ns127 -> s120  [label=\"pairing_req:1.0\"];\ns130 -> s131  [label=\"length_req:1.0\"];\ns130 -> s134  [label=\"length_rsp:1.0\"];\ns130 -> s132  [label=\"feature_req:1.0\"];\ns130 -> s130  [label=\"feature_rsp:1.0\"];\ns130 -> s152  [label=\"version_req:1.0\"];\ns130 -> s133  [label=\"mtu_req:1.0\"];\ns130 -> s130  [label=\"pairing_req:1.0\"];\ns131 -> s131  [label=\"length_req:1.0\"];\ns131 -> s134  [label=\"length_rsp:1.0\"];\ns131 -> s132  [label=\"feature_req:1.0\"];\ns131 -> s130  [label=\"feature_rsp:1.0\"];\ns131 -> s152  [label=\"version_req:1.0\"];\ns131 -> s133  [label=\"mtu_req:1.0\"];\ns131 -> s130  [label=\"pairing_req:1.0\"];\ns132 -> s131  [label=\"length_req:1.0\"];\ns132 -> s134  [label=\"length_rsp:1.0\"];\ns132 -> s132  [label=\"feature_req:1.0\"];\ns132 -> s130  [label=\"feature_rsp:1.0\"];\ns132 -> s152  [label=\"version_req:1.0\"];\ns132 -> s133  [label=\"mtu_req:1.0\"];\ns132 -> s130  [label=\"pairing_req:1.0\"];\ns133 -> s131  [label=\"length_req:1.0\"];\ns133 -> s134  [label=\"length_rsp:1.0\"];\ns133 -> s132  [label=\"feature_req:1.0\"];\ns133 -> s130  [label=\"feature_rsp:1.0\"];\ns133 -> s152  [label=\"version_req:1.0\"];\ns133 -> s133  [label=\"mtu_req:1.0\"];\ns133 -> s130  [label=\"pairing_req:1.0\"];\ns134 -> s131  [label=\"length_req:1.0\"];\ns134 -> s134  [label=\"length_rsp:1.0\"];\ns134 -> s132  [label=\"feature_req:1.0\"];\ns134 -> s130  [label=\"feature_rsp:1.0\"];\ns134 -> s152  [label=\"version_req:1.0\"];\ns134 -> s133  [label=\"mtu_req:1.0\"];\ns134 -> s130  [label=\"pairing_req:1.0\"];\ns135 -> s131  [label=\"length_req:1.0\"];\ns135 -> s134  [label=\"length_rsp:1.0\"];\ns135 -> s132  [label=\"feature_req:1.0\"];\ns135 -> s130  [label=\"feature_rsp:1.0\"];\ns135 -> s152  [label=\"version_req:1.0\"];\ns135 -> s133  [label=\"mtu_req:1.0\"];\ns135 -> s130  [label=\"pairing_req:1.0\"];\ns140 -> s141  [label=\"length_req:1.0\"];\ns140 -> s145  [label=\"length_rsp:1.0\"];\ns140 -> s143  [label=\"feature_req:1.0\"];\ns140 -> s140  [label=\"feature_rsp:1.0\"];\ns140 -> s140  [label=\"version_req:1.0\"];\ns140 -> s144  [label=\"mtu_req:1.0\"];\ns140 -> s156  [label=\"pairing_req:1.0\"];\ns141 -> s141  [label=\"length_req:1.0\"];\ns141 -> s145  [label=\"length_rsp:1.0\"];\ns141 -> s143  [label=\"feature_req:1.0\"];\ns141 -> s140  [label=\"feature_rsp:1.0\"];\ns141 -> s140  [label=\"version_req:1.0\"];\ns141 -> s144  [label=\"mtu_req:1.0\"];\ns141 -> s156  [label=\"pairing_req:1.0\"];\ns142 -> s141  [label=\"length_req:1.0\"];\ns142 -> s145  [label=\"length_rsp:1.0\"];\ns142 -> s143  [label=\"feature_req:1.0\"];\ns142 -> s140  [label=\"feature_rsp:1.0\"];\ns142 -> s140  [label=\"version_req:1.0\"];\ns142 -> s144  [label=\"mtu_req:1.0\"];\ns142 -> s156  [label=\"pairing_req:1.0\"];\ns143 -> s141  [label=\"length_req:1.0\"];\ns143 -> s145  [label=\"length_rsp:1.0\"];\ns143 -> s143  [label=\"feature_req:1.0\"];\ns143 -> s140  [label=\"feature_rsp:1.0\"];\ns143 -> s140  [label=\"version_req:1.0\"];\ns143 -> s144  [label=\"mtu_req:1.0\"];\ns143 -> s156  [label=\"pairing_req:1.0\"];\ns144 -> s141  [label=\"length_req:1.0\"];\ns144 -> s145  [label=\"length_rsp:1.0\"];\ns144 -> s143  [label=\"feature_req:1.0\"];\ns144 -> s140  [label=\"feature_rsp:1.0\"];\ns144 -> s140  [label=\"version_req:1.0\"];\ns144 -> s144  [label=\"mtu_req:1.0\"];\ns144 -> s156  [label=\"pairing_req:1.0\"];\ns145 -> s141  [label=\"length_req:1.0\"];\ns145 -> s145  [label=\"length_rsp:1.0\"];\ns145 -> s143  [label=\"feature_req:1.0\"];\ns145 -> s140  [label=\"feature_rsp:1.0\"];\ns145 -> s140  [label=\"version_req:1.0\"];\ns145 -> s144  [label=\"mtu_req:1.0\"];\ns145 -> s156  [label=\"pairing_req:1.0\"];\ns150 -> s151  [label=\"length_req:1.0\"];\ns150 -> s155  [label=\"length_rsp:1.0\"];\ns150 -> s153  [label=\"feature_req:1.0\"];\ns150 -> s150  [label=\"feature_rsp:1.0\"];\ns150 -> s150  [label=\"version_req:1.0\"];\ns150 -> s154  [label=\"mtu_req:1.0\"];\ns150 -> s150  [label=\"pairing_req:1.0\"];\ns151 -> s151  [label=\"length_req:1.0\"];\ns151 -> s155  [label=\"length_rsp:1.0\"];\ns151 -> s153  [label=\"feature_req:1.0\"];\ns151 -> s150  [label=\"feature_rsp:1.0\"];\ns151 -> s150  [label=\"version_req:1.0\"];\ns151 -> s154  [label=\"mtu_req:1.0\"];\ns151 -> s150  [label=\"pairing_req:1.0\"];\ns152 -> s151  [label=\"length_req:1.0\"];\ns152 -> s155  [label=\"length_rsp:1.0\"];\ns152 -> s153  [label=\"feature_req:1.0\"];\ns152 -> s150  [label=\"feature_rsp:1.0\"];\ns152 -> s150  [label=\"version_req:1.0\"];\ns152 -> s154  [label=\"mtu_req:1.0\"];\ns152 -> s150  [label=\"pairing_req:1.0\"];\ns153 -> s151  [label=\"length_req:1.0\"];\ns153 -> s155  [label=\"length_rsp:1.0\"];\ns153 -> s153  [label=\"feature_req:1.0\"];\ns153 -> s150  [label=\"feature_rsp:1.0\"];\ns153 -> s150  [label=\"version_req:1.0\"];\ns153 -> s154  [label=\"mtu_req:1.0\"];\ns153 -> s150  [label=\"pairing_req:1.0\"];\ns154 -> s151  [label=\"length_req:1.0\"];\ns154 -> s155  [label=\"length_rsp:1.0\"];\ns154 -> s153  [label=\"feature_req:1.0\"];\ns154 -> s150  [label=\"feature_rsp:1.0\"];\ns154 -> s150  [label=\"version_req:1.0\"];\ns154 -> s154  [label=\"mtu_req:1.0\"];\ns154 -> s150  [label=\"pairing_req:1.0\"];\ns155 -> s151  [label=\"length_req:1.0\"];\ns155 -> s155  [label=\"length_rsp:1.0\"];\ns155 -> s153  [label=\"feature_req:1.0\"];\ns155 -> s150  [label=\"feature_rsp:1.0\"];\ns155 -> s150  [label=\"version_req:1.0\"];\ns155 -> s154  [label=\"mtu_req:1.0\"];\ns155 -> s150  [label=\"pairing_req:1.0\"];\ns156 -> s151  [label=\"length_req:1.0\"];\ns156 -> s155  [label=\"length_rsp:1.0\"];\ns156 -> s153  [label=\"feature_req:1.0\"];\ns156 -> s150  [label=\"feature_rsp:1.0\"];\ns156 -> s150  [label=\"version_req:1.0\"];\ns156 -> s154  [label=\"mtu_req:1.0\"];\ns156 -> s150  [label=\"pairing_req:1.0\"];\n__start0 [label=\"\", shape=none];\n__start0 -> 0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/Bluetooth/bluetooth_model.dot",
    "content": "digraph LearnedModel {\ns0 [label=s0];\ns1 [label=s1];\ns2 [label=s2];\ns0 -> s0  [label=\"i0/o0\"];\ns0 -> s1  [label=\"i1/o1\"];\ns0 -> s0  [label=\"i2/o2\"];\ns0 -> s0  [label=\"i3/o2\"];\ns0 -> s0  [label=\"i4/o2\"];\ns0 -> s0  [label=\"i5/o2\"];\ns0 -> s0  [label=\"i6/o2\"];\ns0 -> s0  [label=\"i7/o2\"];\ns0 -> s0  [label=\"i8/o2\"];\ns1 -> s0  [label=\"i0/o0\"];\ns1 -> s1  [label=\"i1/o1\"];\ns1 -> s1  [label=\"i2/o3\"];\ns1 -> s1  [label=\"i3/o3\"];\ns1 -> s1  [label=\"i4/o4\"];\ns1 -> s1  [label=\"i5/o5\"];\ns1 -> s2  [label=\"i6/o6\"];\ns1 -> s1  [label=\"i7/o7\"];\ns1 -> s1  [label=\"i8/o8\"];\ns2 -> s0  [label=\"i0/o0\"];\ns2 -> s1  [label=\"i1/o1\"];\ns2 -> s2  [label=\"i2/o3\"];\ns2 -> s2  [label=\"i3/o3\"];\ns2 -> s2  [label=\"i4/o4\"];\ns2 -> s2  [label=\"i5/o5\"];\ns2 -> s2  [label=\"i6/o1\"];\ns2 -> s2  [label=\"i7/o7\"];\ns2 -> s2  [label=\"i8/o8\"];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}"
  },
  {
    "path": "DotModels/Bluetooth/bluetooth_reduced.dot",
    "content": "digraph LearnedModel {\ns0 [label=s0];\ns1 [label=s1];\ns2 [label=s2];\ns0 -> s0  [label=\"scan_req/Adv\"];\ns0 -> s1  [label=\"connection_req/BTLE|BTLE_DATA\"];\ns0 -> s0  [label=\"length_req/Empty\"];\ns0 -> s0  [label=\"length_rsp/Empty\"];\ns0 -> s0  [label=\"feature_rsp/Empty\"];\ns0 -> s0  [label=\"feature_req/Empty\"];\ns0 -> s0  [label=\"version_req/Empty\"];\ns0 -> s0  [label=\"mtu_req/Empty\"];\ns0 -> s0  [label=\"pairing_req/Empty\"];\ns1 -> s0  [label=\"scan_req/Adv\"];\ns1 -> s1  [label=\"connection_req/BTLE|BTLE_DATA\"];\ns1 -> s1  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns1 -> s1  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns1 -> s1  [label=\"feature_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns1 -> s1  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns1 -> s2  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns1 -> s1  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns1 -> s1  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Failed|SM_Hdr\"];\ns2 -> s0  [label=\"scan_req/Adv\"];\ns2 -> s1  [label=\"connection_req/BTLE|BTLE_DATA\"];\ns2 -> s2  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns2 -> s2  [label=\"length_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns2 -> s2  [label=\"feature_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_REJECT_IND\"];\ns2 -> s2  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns2 -> s2  [label=\"version_req/BTLE|BTLE_DATA\"];\ns2 -> s2  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns2 -> s2  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Failed|SM_Hdr\"];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}"
  },
  {
    "path": "DotModels/Bluetooth/cc2652r1.dot",
    "content": "digraph \"CC2652R1\" {\ns0 [label=s0];\ns1 [label=s1];\ns2 [label=s2];\ns3 [label=s3];\ns0 -> s0  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns0 -> s0  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns0 -> s2  [label=\"feature_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_REQ\"];\ns0 -> s0  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns0 -> s0  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns0 -> s0  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns0 -> s1  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns1 -> s1  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns1 -> s1  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns1 -> s3  [label=\"feature_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_REQ\"];\ns1 -> s1  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns1 -> s1  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns1 -> s1  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns1 -> s0  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Failed|SM_Hdr\"];\ns2 -> s2  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns2 -> s0  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns2 -> s2  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns2 -> s2  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns2 -> s2  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns2 -> s2  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns2 -> s3  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns3 -> s3  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns3 -> s1  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns3 -> s3  [label=\"feature_rsp/BTLE|BTLE_DATA\"];\ns3 -> s3  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns3 -> s3  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns3 -> s3  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns3 -> s2  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Failed|SM_Hdr\"];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/Bluetooth/convert_to_stochastic.py",
    "content": "import random\n\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.base import SUL\nfrom aalpy.automata import Mdp, MdpState, StochasticMealyState, StochasticMealyMachine\nfrom aalpy.learning_algs import run_Lstar, run_stochastic_Lstar\nfrom aalpy.oracles import RandomWMethodEqOracle, RandomWordEqOracle\nfrom aalpy.utils import load_automaton_from_file\n\nmodel = load_automaton_from_file('CYW43455.dot', automaton_type='mealy', compute_prefixes=True)\nalphabet = model.get_input_alphabet()\nprint(alphabet)\n\nclass ModelSUL(SUL):\n    def __init__(self, model):\n        super().__init__()\n        self.model = model\n        self.last_output = 'init'\n\n    def pre(self):\n        self.model.reset_to_initial()\n        self.last_output = 'init'\n\n    def post(self):\n        pass\n\n    def step(self, letter):\n        if not letter:\n            return self.last_output\n        self.last_output = self.model.step(letter)\n        return self.last_output\n\n\nmodel_sul = ModelSUL(model)\n\n\ndef to_mdp():\n    eq_oracle = RandomWMethodEqOracle(alphabet, model_sul)\n\n    learned_model = run_Lstar(alphabet, model_sul, eq_oracle, 'moore')\n\n    # CC2640R2-no-feature-req.dot\n    # {'mtu_req', 'pairing_req',} have 0.3 percent chance of looping to initial state\n    moore_mdp_state_map = dict()\n    initial_mdp_state = None\n    for state in learned_model.states:\n        mdp_state = MdpState(state.state_id, state.output)\n        moore_mdp_state_map[state.prefix] = mdp_state\n        if not state.prefix:\n            initial_mdp_state = mdp_state\n\n    # moore_mdp_state_map['sink'] = MdpState('sink', 'NO_RESPONSE')\n    assert initial_mdp_state\n\n    for state in learned_model.states:\n        mdp_state = moore_mdp_state_map[state.prefix]\n        state_num = int(mdp_state.state_id[1:])\n\n        for i in alphabet:\n            reached_moore = state.transitions[i].prefix\n            # if i in {'pairing_req', 'mtu_req'} and mdp_state.output != moore_mdp_state_map[reached_moore].output:\n            if state_num % 2 == 0 and mdp_state.output != moore_mdp_state_map[reached_moore].output:\n                mdp_state.transitions[i].append((mdp_state, 0.2))\n                mdp_state.transitions[i].append((moore_mdp_state_map[reached_moore], 0.8))\n            else:\n                mdp_state.transitions[i].append((moore_mdp_state_map[reached_moore], 1.))\n\n    mdp = Mdp(initial_mdp_state, list(moore_mdp_state_map.values()))\n    return mdp\n\n\ndef to_smm():\n    # CC2640R2-no-feature-req.dot\n    # {'mtu_req', 'pairing_req',} have 0.3 percent chance of looping to initial state\n    moore_mdp_state_map = dict()\n    initial_mdp_state = None\n    for state in model.states:\n        mdp_state = StochasticMealyState(state.state_id)\n        moore_mdp_state_map[state.prefix] = mdp_state\n        if not state.prefix:\n            initial_mdp_state = mdp_state\n\n    assert initial_mdp_state\n\n    for state in model.states:\n        mdp_state = moore_mdp_state_map[state.prefix]\n        state_num = int(mdp_state.state_id[1:])\n\n        for i in alphabet:\n            reached_state = state.transitions[i].prefix\n            correct_output = state.output_fun[i]\n            # if i in {'pairing_req', 'mtu_req'} and mdp_state.output != moore_mdp_state_map[reached_moore].output:\n            if state_num % 6 == 0:\n                last_out = model.compute_output_seq(model.initial_state, state.prefix[:-1]) if state.prefix else \"NO_RESPONSE\"\n                if not last_out or last_out == correct_output:\n                    last_out = 'NO_RESPONSE'\n                mdp_state.transitions[i].append((mdp_state, last_out[-1], 0.2))\n                mdp_state.transitions[i].append((moore_mdp_state_map[reached_state], correct_output, 0.8))\n            if state_num % 5 == 0 and i in {'length_req', 'length_rsp', 'feature_rsp'} and len(state.prefix) == 2:\n                mdp_state.transitions[i].append((moore_mdp_state_map[model.initial_state.prefix], 'SYSTEM_CRASH', 0.1))\n                mdp_state.transitions[i].append((moore_mdp_state_map[reached_state], correct_output, 0.9))\n            else:\n                mdp_state.transitions[i].append((moore_mdp_state_map[reached_state], correct_output, 1.))\n\n    mdp = StochasticMealyMachine(initial_mdp_state, list(moore_mdp_state_map.values()))\n    return mdp\n\n\nmdp = to_smm()\n# mdp.visualize()\n# exit()\n# mdp.save(file_path='CC2640R2-no-feature-req-stochastic')\n# exit()\n# mdp.make_input_complete('self_loop')\n# mdp_sul = StochasticMealySUL(mdp)\nmdp_sul = AutomatonSUL(mdp.to_mdp())\neq_oracle = RandomWordEqOracle(alphabet, model_sul, num_walks=10000, min_walk_len=10, max_walk_len=100)\n\nstochastic_model = run_stochastic_Lstar(alphabet, mdp_sul, eq_oracle, automaton_type='mdp')\n\n# mdp = mdp.to_mdp()\n# mdp.save('CYW43455_stochastic')\n"
  },
  {
    "path": "DotModels/Bluetooth/nRF52832.dot",
    "content": "digraph \"nRF52832\" {\ns0 [label=s0];\ns1 [label=s1];\ns2 [label=s2];\ns3 [label=s3];\ns4 [label=s4];\ns0 -> s0  [label=\"scan_req/Adv\"];\ns0 -> s1  [label=\"connection_req/BTLE|BTLE_DATA|L2CAP_Hdr|Raw|SM_Hdr\"];\ns0 -> s0  [label=\"length_req/Empty\"];\ns0 -> s0  [label=\"length_rsp/Empty\"];\ns0 -> s0  [label=\"feature_rsp/Empty\"];\ns0 -> s0  [label=\"feature_req/Empty\"];\ns0 -> s0  [label=\"version_req/Empty\"];\ns0 -> s0  [label=\"mtu_req/Empty\"];\ns0 -> s0  [label=\"pairing_req/Empty\"];\ns1 -> s0  [label=\"scan_req/Adv\"];\ns1 -> s1  [label=\"connection_req/BTLE|BTLE_DATA|L2CAP_Hdr|Raw|SM_Hdr\"];\ns1 -> s1  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns1 -> s0  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns1 -> s1  [label=\"feature_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns1 -> s1  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns1 -> s3  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns1 -> s2  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns1 -> s1  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns2 -> s0  [label=\"scan_req/Adv\"];\ns2 -> s1  [label=\"connection_req/BTLE|BTLE_DATA|L2CAP_Hdr|Raw|SM_Hdr\"];\ns2 -> s2  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns2 -> s0  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns2 -> s2  [label=\"feature_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns2 -> s2  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns2 -> s4  [label=\"version_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_VERSION_IND\"];\ns2 -> s2  [label=\"mtu_req/ATT_Error_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns2 -> s2  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns3 -> s0  [label=\"scan_req/Adv\"];\ns3 -> s1  [label=\"connection_req/BTLE|BTLE_DATA|L2CAP_Hdr|Raw|SM_Hdr\"];\ns3 -> s3  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns3 -> s0  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns3 -> s3  [label=\"feature_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns3 -> s3  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns3 -> s3  [label=\"version_req/BTLE|BTLE_DATA\"];\ns3 -> s4  [label=\"mtu_req/ATT_Exchange_MTU_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns3 -> s3  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\ns4 -> s0  [label=\"scan_req/Adv\"];\ns4 -> s1  [label=\"connection_req/BTLE|BTLE_DATA|L2CAP_Hdr|Raw|SM_Hdr\"];\ns4 -> s4  [label=\"length_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_LENGTH_RSP\"];\ns4 -> s0  [label=\"length_rsp/BTLE|BTLE_DATA\"];\ns4 -> s4  [label=\"feature_rsp/BTLE|BTLE_CTRL|BTLE_DATA|LL_UNKNOWN_RSP\"];\ns4 -> s4  [label=\"feature_req/BTLE|BTLE_CTRL|BTLE_DATA|LL_FEATURE_RSP\"];\ns4 -> s4  [label=\"version_req/BTLE|BTLE_DATA\"];\ns4 -> s4  [label=\"mtu_req/ATT_Error_Response|ATT_Hdr|BTLE|BTLE_DATA|L2CAP_Hdr\"];\ns4 -> s4  [label=\"pairing_req/BTLE|BTLE_DATA|L2CAP_Hdr|SM_Hdr|SM_Pairing_Response\"];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/MDPs/bluetooth.dot",
    "content": "digraph bluetooth {\n0 [label=\"___start___\"];\ns00 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_REJECT_IND\"];\ns01 [label=\"crash\"];\ns02 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_LENGTH_RSP\"];\ns03 [label=\"no_response\"];\ns04 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_FEATURE_RSP\"];\ns10 [label=\"BTLE_BTLE_DATA\"];\ns11 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_FEATURE_RSP\"];\ns12 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_LENGTH_RSP\"];\ns13 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_REJECT_IND\"];\ns20 [label=\"BTLE_BTLE_DATA\"];\ns21 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_FEATURE_RSP\"];\ns22 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_LENGTH_RSP\"];\ns23 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_REJECT_IND\"];\ns30 [label=\"BTLE_BTLE_DATA\"];\ns31 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_REJECT_IND\"];\ns32 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_LENGTH_RSP\"];\ns33 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_VERSION_IND\"];\ns34 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_FEATURE_RSP\"];\ns40 [label=\"BTLE_BTLE_DATA\"];\ns41 [label=\"ATT_Exchange_MTU_Request_ATT_Exchange_MTU_Response_ATT_Hdr_BTLE_BTLE_CTRL_BTLE_DATA_L2CAP_CmdHdr_L2CAP_Connection_Parameter_Update_Request_L2CAP_Hdr_LL_LENGTH_REQ\"];\ns42 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_LENGTH_RSP\"];\ns43 [label=\"ATT_Exchange_MTU_Request_ATT_Hdr_BTLE_BTLE_CTRL_BTLE_DATA_L2CAP_CmdHdr_L2CAP_Connection_Parameter_Update_Request_L2CAP_Hdr_LL_LENGTH_REQ\"];\ns44 [label=\"ATT_Exchange_MTU_Response_ATT_Hdr_BTLE_BTLE_DATA_L2CAP_Hdr\"];\ns45 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_FEATURE_RSP\"];\ns50 [label=\"BTLE_BTLE_DATA\"];\ns51 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_REJECT_IND\"];\ns52 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_LENGTH_RSP\"];\ns53 [label=\"ATT_Exchange_MTU_Response_ATT_Hdr_BTLE_BTLE_DATA_L2CAP_Hdr\"];\ns54 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_FEATURE_RSP\"];\ns60 [label=\"BTLE_BTLE_DATA\"];\ns61 [label=\"ATT_Exchange_MTU_Request_ATT_Exchange_MTU_Response_ATT_Hdr_BTLE_BTLE_CTRL_BTLE_DATA_L2CAP_CmdHdr_L2CAP_Connection_Parameter_Update_Request_L2CAP_Hdr_LL_LENGTH_REQ\"];\ns62 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_LENGTH_RSP\"];\ns63 [label=\"ATT_Exchange_MTU_Request_ATT_Hdr_BTLE_BTLE_CTRL_BTLE_DATA_L2CAP_CmdHdr_L2CAP_Connection_Parameter_Update_Request_L2CAP_Hdr_LL_LENGTH_REQ\"];\ns64 [label=\"ATT_Exchange_MTU_Response_ATT_Hdr_BTLE_BTLE_DATA_L2CAP_Hdr\"];\ns65 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_VERSION_IND\"];\ns66 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_FEATURE_RSP\"];\ns70 [label=\"BTLE_BTLE_DATA\"];\ns71 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_REJECT_IND\"];\ns72 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_LENGTH_RSP\"];\ns73 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_VERSION_IND\"];\ns74 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_FEATURE_RSP\"];\ns80 [label=\"BTLE_BTLE_DATA\"];\ns81 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_FEATURE_RSP\"];\ns82 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_LENGTH_RSP\"];\ns90 [label=\"BTLE_BTLE_DATA\"];\ns91 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_REJECT_IND\"];\ns92 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_LENGTH_RSP\"];\ns93 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_VERSION_IND\"];\ns94 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_FEATURE_RSP\"];\ns100 [label=\"BTLE_BTLE_DATA\"];\ns101 [label=\"BTLE_BTLE_DATA_L2CAP_Hdr_SM_Hdr_SM_Pairing_Response\"];\ns102 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_LENGTH_RSP\"];\ns103 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_FEATURE_RSP\"];\ns104 [label=\"ATT_Exchange_MTU_Request_ATT_Hdr_BTLE_BTLE_CTRL_BTLE_DATA_L2CAP_CmdHdr_L2CAP_Connection_Parameter_Update_Request_L2CAP_Hdr_LL_LENGTH_REQ_SM_Hdr_SM_Pairing_Response\"];\ns105 [label=\"ATT_Exchange_MTU_Response_ATT_Hdr_BTLE_BTLE_DATA_L2CAP_Hdr\"];\ns106 [label=\"ATT_Exchange_MTU_Request_ATT_Exchange_MTU_Response_ATT_Hdr_BTLE_BTLE_CTRL_BTLE_DATA_L2CAP_CmdHdr_L2CAP_Connection_Parameter_Update_Request_L2CAP_Hdr_LL_LENGTH_REQ_SM_Hdr_SM_Pairing_Response\"];\ns110 [label=\"BTLE_BTLE_DATA\"];\ns111 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_REJECT_IND\"];\ns112 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_LENGTH_RSP\"];\ns113 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_VERSION_IND\"];\ns114 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_FEATURE_RSP\"];\ns120 [label=\"BTLE_BTLE_DATA\"];\ns121 [label=\"BTLE_BTLE_DATA_L2CAP_Hdr_SM_Hdr_SM_Pairing_Response\"];\ns122 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_LENGTH_RSP\"];\ns123 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_FEATURE_RSP\"];\ns124 [label=\"ATT_Exchange_MTU_Request_ATT_Hdr_BTLE_BTLE_CTRL_BTLE_DATA_L2CAP_CmdHdr_L2CAP_Connection_Parameter_Update_Request_L2CAP_Hdr_LL_LENGTH_REQ_SM_Hdr_SM_Pairing_Response\"];\ns125 [label=\"ATT_Exchange_MTU_Response_ATT_Hdr_BTLE_BTLE_DATA_L2CAP_Hdr\"];\ns126 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_VERSION_IND\"];\ns127 [label=\"ATT_Exchange_MTU_Request_ATT_Exchange_MTU_Response_ATT_Hdr_BTLE_BTLE_CTRL_BTLE_DATA_L2CAP_CmdHdr_L2CAP_Connection_Parameter_Update_Request_L2CAP_Hdr_LL_LENGTH_REQ_SM_Hdr_SM_Pairing_Response\"];\ns130 [label=\"BTLE_BTLE_DATA\"];\ns131 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_REJECT_IND\"];\ns132 [label=\"BTLE_BTLE_DATA_L2CAP_Hdr_SM_Hdr_SM_Pairing_Response\"];\ns133 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_LENGTH_RSP\"];\ns134 [label=\"ATT_Exchange_MTU_Response_ATT_Hdr_BTLE_BTLE_DATA_L2CAP_Hdr\"];\ns135 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_FEATURE_RSP\"];\ns140 [label=\"BTLE_BTLE_DATA\"];\ns141 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_REJECT_IND\"];\ns142 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_LENGTH_RSP\"];\ns143 [label=\"ATT_Exchange_MTU_Response_ATT_Hdr_BTLE_BTLE_DATA_L2CAP_Hdr\"];\ns144 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_VERSION_IND\"];\ns145 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_FEATURE_RSP\"];\ns150 [label=\"BTLE_BTLE_DATA\"];\ns151 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_REJECT_IND\"];\ns152 [label=\"BTLE_BTLE_DATA_L2CAP_Hdr_SM_Hdr_SM_Pairing_Response\"];\ns153 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_LENGTH_RSP\"];\ns154 [label=\"ATT_Exchange_MTU_Response_ATT_Hdr_BTLE_BTLE_DATA_L2CAP_Hdr\"];\ns155 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_VERSION_IND\"];\ns156 [label=\"BTLE_BTLE_CTRL_BTLE_DATA_LL_FEATURE_RSP\"];\n0 -> s03  [label=\"length_req:0.2\"];\n0 -> s02  [label=\"length_req:0.8\"];\n0 -> s03  [label=\"length_rsp:0.2\"];\n0 -> s00  [label=\"length_rsp:0.8\"];\n0 -> s03  [label=\"feature_req:0.2\"];\n0 -> s04  [label=\"feature_req:0.8\"];\n0 -> s03  [label=\"feature_rsp:0.2\"];\n0 -> s43  [label=\"feature_rsp:0.8\"];\n0 -> s03  [label=\"version_req:0.2\"];\n0 -> s33  [label=\"version_req:0.8\"];\n0 -> s03  [label=\"mtu_req:0.2\"];\n0 -> s20  [label=\"mtu_req:0.8\"];\n0 -> s03  [label=\"pairing_req:0.2\"];\n0 -> s10  [label=\"pairing_req:0.8\"];\ns00 -> s03  [label=\"length_req:0.2\"];\ns00 -> s02  [label=\"length_req:0.8\"];\ns00 -> s03  [label=\"length_rsp:0.2\"];\ns00 -> s00  [label=\"length_rsp:0.8\"];\ns00 -> s03  [label=\"feature_req:0.2\"];\ns00 -> s04  [label=\"feature_req:0.8\"];\ns00 -> s03  [label=\"feature_rsp:0.2\"];\ns00 -> s43  [label=\"feature_rsp:0.8\"];\ns00 -> s03  [label=\"version_req:0.2\"];\ns00 -> s33  [label=\"version_req:0.8\"];\ns00 -> s03  [label=\"mtu_req:0.2\"];\ns00 -> s20  [label=\"mtu_req:0.8\"];\ns00 -> s03  [label=\"pairing_req:0.2\"];\ns00 -> s10  [label=\"pairing_req:0.8\"];\ns01 -> s03  [label=\"length_req:0.2\"];\ns01 -> s02  [label=\"length_req:0.8\"];\ns01 -> s03  [label=\"length_rsp:0.2\"];\ns01 -> s00  [label=\"length_rsp:0.8\"];\ns01 -> s03  [label=\"feature_req:0.2\"];\ns01 -> s04  [label=\"feature_req:0.8\"];\ns01 -> s03  [label=\"feature_rsp:0.2\"];\ns01 -> s43  [label=\"feature_rsp:0.8\"];\ns01 -> s03  [label=\"version_req:0.2\"];\ns01 -> s33  [label=\"version_req:0.8\"];\ns01 -> s03  [label=\"mtu_req:0.2\"];\ns01 -> s20  [label=\"mtu_req:0.8\"];\ns01 -> s03  [label=\"pairing_req:0.2\"];\ns01 -> s10  [label=\"pairing_req:0.8\"];\ns02 -> s03  [label=\"length_req:0.2\"];\ns02 -> s02  [label=\"length_req:0.8\"];\ns02 -> s03  [label=\"length_rsp:0.2\"];\ns02 -> s00  [label=\"length_rsp:0.8\"];\ns02 -> s03  [label=\"feature_req:0.2\"];\ns02 -> s04  [label=\"feature_req:0.8\"];\ns02 -> s03  [label=\"feature_rsp:0.2\"];\ns02 -> s43  [label=\"feature_rsp:0.8\"];\ns02 -> s03  [label=\"version_req:0.2\"];\ns02 -> s33  [label=\"version_req:0.8\"];\ns02 -> s03  [label=\"mtu_req:0.2\"];\ns02 -> s20  [label=\"mtu_req:0.8\"];\ns02 -> s03  [label=\"pairing_req:0.2\"];\ns02 -> s10  [label=\"pairing_req:0.8\"];\ns03 -> s03  [label=\"length_req:0.2\"];\ns03 -> s02  [label=\"length_req:0.8\"];\ns03 -> s03  [label=\"length_rsp:0.2\"];\ns03 -> s00  [label=\"length_rsp:0.8\"];\ns03 -> s03  [label=\"feature_req:0.2\"];\ns03 -> s04  [label=\"feature_req:0.8\"];\ns03 -> s03  [label=\"feature_rsp:0.2\"];\ns03 -> s43  [label=\"feature_rsp:0.8\"];\ns03 -> s03  [label=\"version_req:0.2\"];\ns03 -> s33  [label=\"version_req:0.8\"];\ns03 -> s03  [label=\"mtu_req:0.2\"];\ns03 -> s20  [label=\"mtu_req:0.8\"];\ns03 -> s03  [label=\"pairing_req:0.2\"];\ns03 -> s10  [label=\"pairing_req:0.8\"];\ns04 -> s03  [label=\"length_req:0.2\"];\ns04 -> s02  [label=\"length_req:0.8\"];\ns04 -> s03  [label=\"length_rsp:0.2\"];\ns04 -> s00  [label=\"length_rsp:0.8\"];\ns04 -> s03  [label=\"feature_req:0.2\"];\ns04 -> s04  [label=\"feature_req:0.8\"];\ns04 -> s03  [label=\"feature_rsp:0.2\"];\ns04 -> s43  [label=\"feature_rsp:0.8\"];\ns04 -> s03  [label=\"version_req:0.2\"];\ns04 -> s33  [label=\"version_req:0.8\"];\ns04 -> s03  [label=\"mtu_req:0.2\"];\ns04 -> s20  [label=\"mtu_req:0.8\"];\ns04 -> s03  [label=\"pairing_req:0.2\"];\ns04 -> s10  [label=\"pairing_req:0.8\"];\ns10 -> s12  [label=\"length_req:1.0\"];\ns10 -> s13  [label=\"length_rsp:1.0\"];\ns10 -> s11  [label=\"feature_req:1.0\"];\ns10 -> s104  [label=\"feature_rsp:1.0\"];\ns10 -> s93  [label=\"version_req:1.0\"];\ns10 -> s80  [label=\"mtu_req:1.0\"];\ns10 -> s10  [label=\"pairing_req:1.0\"];\ns11 -> s12  [label=\"length_req:1.0\"];\ns11 -> s13  [label=\"length_rsp:1.0\"];\ns11 -> s11  [label=\"feature_req:1.0\"];\ns11 -> s104  [label=\"feature_rsp:1.0\"];\ns11 -> s93  [label=\"version_req:1.0\"];\ns11 -> s80  [label=\"mtu_req:1.0\"];\ns11 -> s10  [label=\"pairing_req:1.0\"];\ns12 -> s12  [label=\"length_req:1.0\"];\ns12 -> s13  [label=\"length_rsp:1.0\"];\ns12 -> s11  [label=\"feature_req:1.0\"];\ns12 -> s104  [label=\"feature_rsp:1.0\"];\ns12 -> s93  [label=\"version_req:1.0\"];\ns12 -> s80  [label=\"mtu_req:1.0\"];\ns12 -> s10  [label=\"pairing_req:1.0\"];\ns13 -> s12  [label=\"length_req:1.0\"];\ns13 -> s13  [label=\"length_rsp:1.0\"];\ns13 -> s11  [label=\"feature_req:1.0\"];\ns13 -> s104  [label=\"feature_rsp:1.0\"];\ns13 -> s93  [label=\"version_req:1.0\"];\ns13 -> s80  [label=\"mtu_req:1.0\"];\ns13 -> s10  [label=\"pairing_req:1.0\"];\ns20 -> s22  [label=\"length_req:1.0\"];\ns20 -> s23  [label=\"length_rsp:1.0\"];\ns20 -> s21  [label=\"feature_req:1.0\"];\ns20 -> s41  [label=\"feature_rsp:1.0\"];\ns20 -> s73  [label=\"version_req:1.0\"];\ns20 -> s20  [label=\"mtu_req:1.0\"];\ns20 -> s80  [label=\"pairing_req:1.0\"];\ns21 -> s22  [label=\"length_req:1.0\"];\ns21 -> s23  [label=\"length_rsp:1.0\"];\ns21 -> s21  [label=\"feature_req:1.0\"];\ns21 -> s41  [label=\"feature_rsp:1.0\"];\ns21 -> s73  [label=\"version_req:1.0\"];\ns21 -> s20  [label=\"mtu_req:1.0\"];\ns21 -> s80  [label=\"pairing_req:1.0\"];\ns22 -> s22  [label=\"length_req:1.0\"];\ns22 -> s23  [label=\"length_rsp:1.0\"];\ns22 -> s21  [label=\"feature_req:1.0\"];\ns22 -> s41  [label=\"feature_rsp:1.0\"];\ns22 -> s73  [label=\"version_req:1.0\"];\ns22 -> s20  [label=\"mtu_req:1.0\"];\ns22 -> s80  [label=\"pairing_req:1.0\"];\ns23 -> s22  [label=\"length_req:1.0\"];\ns23 -> s23  [label=\"length_rsp:1.0\"];\ns23 -> s21  [label=\"feature_req:1.0\"];\ns23 -> s41  [label=\"feature_rsp:1.0\"];\ns23 -> s73  [label=\"version_req:1.0\"];\ns23 -> s20  [label=\"mtu_req:1.0\"];\ns23 -> s80  [label=\"pairing_req:1.0\"];\ns30 -> s32  [label=\"length_req:1.0\"];\ns30 -> s31  [label=\"length_rsp:1.0\"];\ns30 -> s34  [label=\"feature_req:1.0\"];\ns30 -> s63  [label=\"feature_rsp:1.0\"];\ns30 -> s30  [label=\"version_req:1.0\"];\ns30 -> s70  [label=\"mtu_req:1.0\"];\ns30 -> s90  [label=\"pairing_req:1.0\"];\ns31 -> s32  [label=\"length_req:1.0\"];\ns31 -> s31  [label=\"length_rsp:1.0\"];\ns31 -> s34  [label=\"feature_req:1.0\"];\ns31 -> s63  [label=\"feature_rsp:1.0\"];\ns31 -> s30  [label=\"version_req:1.0\"];\ns31 -> s70  [label=\"mtu_req:1.0\"];\ns31 -> s90  [label=\"pairing_req:1.0\"];\ns32 -> s32  [label=\"length_req:1.0\"];\ns32 -> s31  [label=\"length_rsp:1.0\"];\ns32 -> s34  [label=\"feature_req:1.0\"];\ns32 -> s63  [label=\"feature_rsp:1.0\"];\ns32 -> s30  [label=\"version_req:1.0\"];\ns32 -> s70  [label=\"mtu_req:1.0\"];\ns32 -> s90  [label=\"pairing_req:1.0\"];\ns33 -> s32  [label=\"length_req:1.0\"];\ns33 -> s31  [label=\"length_rsp:1.0\"];\ns33 -> s34  [label=\"feature_req:1.0\"];\ns33 -> s63  [label=\"feature_rsp:1.0\"];\ns33 -> s30  [label=\"version_req:1.0\"];\ns33 -> s70  [label=\"mtu_req:1.0\"];\ns33 -> s90  [label=\"pairing_req:1.0\"];\ns34 -> s32  [label=\"length_req:1.0\"];\ns34 -> s31  [label=\"length_rsp:1.0\"];\ns34 -> s34  [label=\"feature_req:1.0\"];\ns34 -> s63  [label=\"feature_rsp:1.0\"];\ns34 -> s30  [label=\"version_req:1.0\"];\ns34 -> s70  [label=\"mtu_req:1.0\"];\ns34 -> s90  [label=\"pairing_req:1.0\"];\ns40 -> s42  [label=\"length_req:1.0\"];\ns40 -> s50  [label=\"length_rsp:1.0\"];\ns40 -> s45  [label=\"feature_req:1.0\"];\ns40 -> s40  [label=\"feature_rsp:1.0\"];\ns40 -> s65  [label=\"version_req:1.0\"];\ns40 -> s44  [label=\"mtu_req:1.0\"];\ns40 -> s101  [label=\"pairing_req:1.0\"];\ns41 -> s42  [label=\"length_req:1.0\"];\ns41 -> s50  [label=\"length_rsp:1.0\"];\ns41 -> s45  [label=\"feature_req:1.0\"];\ns41 -> s40  [label=\"feature_rsp:1.0\"];\ns41 -> s65  [label=\"version_req:1.0\"];\ns41 -> s44  [label=\"mtu_req:1.0\"];\ns41 -> s101  [label=\"pairing_req:1.0\"];\ns42 -> s42  [label=\"length_req:1.0\"];\ns42 -> s50  [label=\"length_rsp:1.0\"];\ns42 -> s45  [label=\"feature_req:1.0\"];\ns42 -> s40  [label=\"feature_rsp:1.0\"];\ns42 -> s65  [label=\"version_req:1.0\"];\ns42 -> s44  [label=\"mtu_req:1.0\"];\ns42 -> s101  [label=\"pairing_req:1.0\"];\ns43 -> s42  [label=\"length_req:1.0\"];\ns43 -> s50  [label=\"length_rsp:1.0\"];\ns43 -> s45  [label=\"feature_req:1.0\"];\ns43 -> s40  [label=\"feature_rsp:1.0\"];\ns43 -> s65  [label=\"version_req:1.0\"];\ns43 -> s44  [label=\"mtu_req:1.0\"];\ns43 -> s101  [label=\"pairing_req:1.0\"];\ns44 -> s42  [label=\"length_req:1.0\"];\ns44 -> s50  [label=\"length_rsp:1.0\"];\ns44 -> s45  [label=\"feature_req:1.0\"];\ns44 -> s40  [label=\"feature_rsp:1.0\"];\ns44 -> s65  [label=\"version_req:1.0\"];\ns44 -> s44  [label=\"mtu_req:1.0\"];\ns44 -> s101  [label=\"pairing_req:1.0\"];\ns45 -> s42  [label=\"length_req:1.0\"];\ns45 -> s50  [label=\"length_rsp:1.0\"];\ns45 -> s45  [label=\"feature_req:1.0\"];\ns45 -> s40  [label=\"feature_rsp:1.0\"];\ns45 -> s65  [label=\"version_req:1.0\"];\ns45 -> s44  [label=\"mtu_req:1.0\"];\ns45 -> s101  [label=\"pairing_req:1.0\"];\ns50 -> s01  [label=\"length_req:0.1\"];\ns50 -> s52  [label=\"length_req:0.9\"];\ns50 -> s01  [label=\"length_rsp:0.1\"];\ns50 -> s51  [label=\"length_rsp:0.9\"];\ns50 -> s54  [label=\"feature_req:1.0\"];\ns50 -> s01  [label=\"feature_rsp:0.1\"];\ns50 -> s50  [label=\"feature_rsp:0.9\"];\ns50 -> s144  [label=\"version_req:1.0\"];\ns50 -> s53  [label=\"mtu_req:1.0\"];\ns50 -> s132  [label=\"pairing_req:1.0\"];\ns51 -> s01  [label=\"length_req:0.1\"];\ns51 -> s52  [label=\"length_req:0.9\"];\ns51 -> s01  [label=\"length_rsp:0.1\"];\ns51 -> s51  [label=\"length_rsp:0.9\"];\ns51 -> s54  [label=\"feature_req:1.0\"];\ns51 -> s01  [label=\"feature_rsp:0.1\"];\ns51 -> s50  [label=\"feature_rsp:0.9\"];\ns51 -> s144  [label=\"version_req:1.0\"];\ns51 -> s53  [label=\"mtu_req:1.0\"];\ns51 -> s132  [label=\"pairing_req:1.0\"];\ns52 -> s01  [label=\"length_req:0.1\"];\ns52 -> s52  [label=\"length_req:0.9\"];\ns52 -> s01  [label=\"length_rsp:0.1\"];\ns52 -> s51  [label=\"length_rsp:0.9\"];\ns52 -> s54  [label=\"feature_req:1.0\"];\ns52 -> s01  [label=\"feature_rsp:0.1\"];\ns52 -> s50  [label=\"feature_rsp:0.9\"];\ns52 -> s144  [label=\"version_req:1.0\"];\ns52 -> s53  [label=\"mtu_req:1.0\"];\ns52 -> s132  [label=\"pairing_req:1.0\"];\ns53 -> s01  [label=\"length_req:0.1\"];\ns53 -> s52  [label=\"length_req:0.9\"];\ns53 -> s01  [label=\"length_rsp:0.1\"];\ns53 -> s51  [label=\"length_rsp:0.9\"];\ns53 -> s54  [label=\"feature_req:1.0\"];\ns53 -> s01  [label=\"feature_rsp:0.1\"];\ns53 -> s50  [label=\"feature_rsp:0.9\"];\ns53 -> s144  [label=\"version_req:1.0\"];\ns53 -> s53  [label=\"mtu_req:1.0\"];\ns53 -> s132  [label=\"pairing_req:1.0\"];\ns54 -> s01  [label=\"length_req:0.1\"];\ns54 -> s52  [label=\"length_req:0.9\"];\ns54 -> s01  [label=\"length_rsp:0.1\"];\ns54 -> s51  [label=\"length_rsp:0.9\"];\ns54 -> s54  [label=\"feature_req:1.0\"];\ns54 -> s01  [label=\"feature_rsp:0.1\"];\ns54 -> s50  [label=\"feature_rsp:0.9\"];\ns54 -> s144  [label=\"version_req:1.0\"];\ns54 -> s53  [label=\"mtu_req:1.0\"];\ns54 -> s132  [label=\"pairing_req:1.0\"];\ns60 -> s63  [label=\"length_req:0.2\"];\ns60 -> s62  [label=\"length_req:0.8\"];\ns60 -> s63  [label=\"length_rsp:0.2\"];\ns60 -> s140  [label=\"length_rsp:0.8\"];\ns60 -> s63  [label=\"feature_req:0.2\"];\ns60 -> s66  [label=\"feature_req:0.8\"];\ns60 -> s63  [label=\"feature_rsp:0.2\"];\ns60 -> s60  [label=\"feature_rsp:0.8\"];\ns60 -> s63  [label=\"version_req:0.2\"];\ns60 -> s60  [label=\"version_req:0.8\"];\ns60 -> s63  [label=\"mtu_req:0.2\"];\ns60 -> s64  [label=\"mtu_req:0.8\"];\ns60 -> s63  [label=\"pairing_req:0.2\"];\ns60 -> s121  [label=\"pairing_req:0.8\"];\ns61 -> s63  [label=\"length_req:0.2\"];\ns61 -> s62  [label=\"length_req:0.8\"];\ns61 -> s63  [label=\"length_rsp:0.2\"];\ns61 -> s140  [label=\"length_rsp:0.8\"];\ns61 -> s63  [label=\"feature_req:0.2\"];\ns61 -> s66  [label=\"feature_req:0.8\"];\ns61 -> s63  [label=\"feature_rsp:0.2\"];\ns61 -> s60  [label=\"feature_rsp:0.8\"];\ns61 -> s63  [label=\"version_req:0.2\"];\ns61 -> s60  [label=\"version_req:0.8\"];\ns61 -> s63  [label=\"mtu_req:0.2\"];\ns61 -> s64  [label=\"mtu_req:0.8\"];\ns61 -> s63  [label=\"pairing_req:0.2\"];\ns61 -> s121  [label=\"pairing_req:0.8\"];\ns62 -> s63  [label=\"length_req:0.2\"];\ns62 -> s62  [label=\"length_req:0.8\"];\ns62 -> s63  [label=\"length_rsp:0.2\"];\ns62 -> s140  [label=\"length_rsp:0.8\"];\ns62 -> s63  [label=\"feature_req:0.2\"];\ns62 -> s66  [label=\"feature_req:0.8\"];\ns62 -> s63  [label=\"feature_rsp:0.2\"];\ns62 -> s60  [label=\"feature_rsp:0.8\"];\ns62 -> s63  [label=\"version_req:0.2\"];\ns62 -> s60  [label=\"version_req:0.8\"];\ns62 -> s63  [label=\"mtu_req:0.2\"];\ns62 -> s64  [label=\"mtu_req:0.8\"];\ns62 -> s63  [label=\"pairing_req:0.2\"];\ns62 -> s121  [label=\"pairing_req:0.8\"];\ns63 -> s63  [label=\"length_req:0.2\"];\ns63 -> s62  [label=\"length_req:0.8\"];\ns63 -> s63  [label=\"length_rsp:0.2\"];\ns63 -> s140  [label=\"length_rsp:0.8\"];\ns63 -> s63  [label=\"feature_req:0.2\"];\ns63 -> s66  [label=\"feature_req:0.8\"];\ns63 -> s63  [label=\"feature_rsp:0.2\"];\ns63 -> s60  [label=\"feature_rsp:0.8\"];\ns63 -> s63  [label=\"version_req:0.2\"];\ns63 -> s60  [label=\"version_req:0.8\"];\ns63 -> s63  [label=\"mtu_req:0.2\"];\ns63 -> s64  [label=\"mtu_req:0.8\"];\ns63 -> s63  [label=\"pairing_req:0.2\"];\ns63 -> s121  [label=\"pairing_req:0.8\"];\ns64 -> s63  [label=\"length_req:0.2\"];\ns64 -> s62  [label=\"length_req:0.8\"];\ns64 -> s63  [label=\"length_rsp:0.2\"];\ns64 -> s140  [label=\"length_rsp:0.8\"];\ns64 -> s63  [label=\"feature_req:0.2\"];\ns64 -> s66  [label=\"feature_req:0.8\"];\ns64 -> s63  [label=\"feature_rsp:0.2\"];\ns64 -> s60  [label=\"feature_rsp:0.8\"];\ns64 -> s63  [label=\"version_req:0.2\"];\ns64 -> s60  [label=\"version_req:0.8\"];\ns64 -> s63  [label=\"mtu_req:0.2\"];\ns64 -> s64  [label=\"mtu_req:0.8\"];\ns64 -> s63  [label=\"pairing_req:0.2\"];\ns64 -> s121  [label=\"pairing_req:0.8\"];\ns65 -> s63  [label=\"length_req:0.2\"];\ns65 -> s62  [label=\"length_req:0.8\"];\ns65 -> s63  [label=\"length_rsp:0.2\"];\ns65 -> s140  [label=\"length_rsp:0.8\"];\ns65 -> s63  [label=\"feature_req:0.2\"];\ns65 -> s66  [label=\"feature_req:0.8\"];\ns65 -> s63  [label=\"feature_rsp:0.2\"];\ns65 -> s60  [label=\"feature_rsp:0.8\"];\ns65 -> s63  [label=\"version_req:0.2\"];\ns65 -> s60  [label=\"version_req:0.8\"];\ns65 -> s63  [label=\"mtu_req:0.2\"];\ns65 -> s64  [label=\"mtu_req:0.8\"];\ns65 -> s63  [label=\"pairing_req:0.2\"];\ns65 -> s121  [label=\"pairing_req:0.8\"];\ns66 -> s63  [label=\"length_req:0.2\"];\ns66 -> s62  [label=\"length_req:0.8\"];\ns66 -> s63  [label=\"length_rsp:0.2\"];\ns66 -> s140  [label=\"length_rsp:0.8\"];\ns66 -> s63  [label=\"feature_req:0.2\"];\ns66 -> s66  [label=\"feature_req:0.8\"];\ns66 -> s63  [label=\"feature_rsp:0.2\"];\ns66 -> s60  [label=\"feature_rsp:0.8\"];\ns66 -> s63  [label=\"version_req:0.2\"];\ns66 -> s60  [label=\"version_req:0.8\"];\ns66 -> s63  [label=\"mtu_req:0.2\"];\ns66 -> s64  [label=\"mtu_req:0.8\"];\ns66 -> s63  [label=\"pairing_req:0.2\"];\ns66 -> s121  [label=\"pairing_req:0.8\"];\ns70 -> s72  [label=\"length_req:1.0\"];\ns70 -> s71  [label=\"length_rsp:1.0\"];\ns70 -> s74  [label=\"feature_req:1.0\"];\ns70 -> s61  [label=\"feature_rsp:1.0\"];\ns70 -> s70  [label=\"version_req:1.0\"];\ns70 -> s70  [label=\"mtu_req:1.0\"];\ns70 -> s110  [label=\"pairing_req:1.0\"];\ns71 -> s72  [label=\"length_req:1.0\"];\ns71 -> s71  [label=\"length_rsp:1.0\"];\ns71 -> s74  [label=\"feature_req:1.0\"];\ns71 -> s61  [label=\"feature_rsp:1.0\"];\ns71 -> s70  [label=\"version_req:1.0\"];\ns71 -> s70  [label=\"mtu_req:1.0\"];\ns71 -> s110  [label=\"pairing_req:1.0\"];\ns72 -> s72  [label=\"length_req:1.0\"];\ns72 -> s71  [label=\"length_rsp:1.0\"];\ns72 -> s74  [label=\"feature_req:1.0\"];\ns72 -> s61  [label=\"feature_rsp:1.0\"];\ns72 -> s70  [label=\"version_req:1.0\"];\ns72 -> s70  [label=\"mtu_req:1.0\"];\ns72 -> s110  [label=\"pairing_req:1.0\"];\ns73 -> s72  [label=\"length_req:1.0\"];\ns73 -> s71  [label=\"length_rsp:1.0\"];\ns73 -> s74  [label=\"feature_req:1.0\"];\ns73 -> s61  [label=\"feature_rsp:1.0\"];\ns73 -> s70  [label=\"version_req:1.0\"];\ns73 -> s70  [label=\"mtu_req:1.0\"];\ns73 -> s110  [label=\"pairing_req:1.0\"];\ns74 -> s72  [label=\"length_req:1.0\"];\ns74 -> s71  [label=\"length_rsp:1.0\"];\ns74 -> s74  [label=\"feature_req:1.0\"];\ns74 -> s61  [label=\"feature_rsp:1.0\"];\ns74 -> s70  [label=\"version_req:1.0\"];\ns74 -> s70  [label=\"mtu_req:1.0\"];\ns74 -> s110  [label=\"pairing_req:1.0\"];\ns80 -> s82  [label=\"length_req:1.0\"];\ns80 -> s23  [label=\"length_rsp:1.0\"];\ns80 -> s81  [label=\"feature_req:1.0\"];\ns80 -> s106  [label=\"feature_rsp:1.0\"];\ns80 -> s113  [label=\"version_req:1.0\"];\ns80 -> s80  [label=\"mtu_req:1.0\"];\ns80 -> s80  [label=\"pairing_req:1.0\"];\ns81 -> s82  [label=\"length_req:1.0\"];\ns81 -> s23  [label=\"length_rsp:1.0\"];\ns81 -> s81  [label=\"feature_req:1.0\"];\ns81 -> s106  [label=\"feature_rsp:1.0\"];\ns81 -> s113  [label=\"version_req:1.0\"];\ns81 -> s80  [label=\"mtu_req:1.0\"];\ns81 -> s80  [label=\"pairing_req:1.0\"];\ns82 -> s82  [label=\"length_req:1.0\"];\ns82 -> s23  [label=\"length_rsp:1.0\"];\ns82 -> s81  [label=\"feature_req:1.0\"];\ns82 -> s106  [label=\"feature_rsp:1.0\"];\ns82 -> s113  [label=\"version_req:1.0\"];\ns82 -> s80  [label=\"mtu_req:1.0\"];\ns82 -> s80  [label=\"pairing_req:1.0\"];\ns90 -> s92  [label=\"length_req:1.0\"];\ns90 -> s91  [label=\"length_rsp:1.0\"];\ns90 -> s94  [label=\"feature_req:1.0\"];\ns90 -> s124  [label=\"feature_rsp:1.0\"];\ns90 -> s90  [label=\"version_req:1.0\"];\ns90 -> s110  [label=\"mtu_req:1.0\"];\ns90 -> s90  [label=\"pairing_req:1.0\"];\ns91 -> s92  [label=\"length_req:1.0\"];\ns91 -> s91  [label=\"length_rsp:1.0\"];\ns91 -> s94  [label=\"feature_req:1.0\"];\ns91 -> s124  [label=\"feature_rsp:1.0\"];\ns91 -> s90  [label=\"version_req:1.0\"];\ns91 -> s110  [label=\"mtu_req:1.0\"];\ns91 -> s90  [label=\"pairing_req:1.0\"];\ns92 -> s92  [label=\"length_req:1.0\"];\ns92 -> s91  [label=\"length_rsp:1.0\"];\ns92 -> s94  [label=\"feature_req:1.0\"];\ns92 -> s124  [label=\"feature_rsp:1.0\"];\ns92 -> s90  [label=\"version_req:1.0\"];\ns92 -> s110  [label=\"mtu_req:1.0\"];\ns92 -> s90  [label=\"pairing_req:1.0\"];\ns93 -> s92  [label=\"length_req:1.0\"];\ns93 -> s91  [label=\"length_rsp:1.0\"];\ns93 -> s94  [label=\"feature_req:1.0\"];\ns93 -> s124  [label=\"feature_rsp:1.0\"];\ns93 -> s90  [label=\"version_req:1.0\"];\ns93 -> s110  [label=\"mtu_req:1.0\"];\ns93 -> s90  [label=\"pairing_req:1.0\"];\ns94 -> s92  [label=\"length_req:1.0\"];\ns94 -> s91  [label=\"length_rsp:1.0\"];\ns94 -> s94  [label=\"feature_req:1.0\"];\ns94 -> s124  [label=\"feature_rsp:1.0\"];\ns94 -> s90  [label=\"version_req:1.0\"];\ns94 -> s110  [label=\"mtu_req:1.0\"];\ns94 -> s90  [label=\"pairing_req:1.0\"];\ns100 -> s01  [label=\"length_req:0.1\"];\ns100 -> s102  [label=\"length_req:0.9\"];\ns100 -> s01  [label=\"length_rsp:0.1\"];\ns100 -> s130  [label=\"length_rsp:0.9\"];\ns100 -> s103  [label=\"feature_req:1.0\"];\ns100 -> s01  [label=\"feature_rsp:0.1\"];\ns100 -> s100  [label=\"feature_rsp:0.9\"];\ns100 -> s126  [label=\"version_req:1.0\"];\ns100 -> s105  [label=\"mtu_req:1.0\"];\ns100 -> s100  [label=\"pairing_req:1.0\"];\ns101 -> s01  [label=\"length_req:0.1\"];\ns101 -> s102  [label=\"length_req:0.9\"];\ns101 -> s01  [label=\"length_rsp:0.1\"];\ns101 -> s130  [label=\"length_rsp:0.9\"];\ns101 -> s103  [label=\"feature_req:1.0\"];\ns101 -> s01  [label=\"feature_rsp:0.1\"];\ns101 -> s100  [label=\"feature_rsp:0.9\"];\ns101 -> s126  [label=\"version_req:1.0\"];\ns101 -> s105  [label=\"mtu_req:1.0\"];\ns101 -> s100  [label=\"pairing_req:1.0\"];\ns102 -> s01  [label=\"length_req:0.1\"];\ns102 -> s102  [label=\"length_req:0.9\"];\ns102 -> s01  [label=\"length_rsp:0.1\"];\ns102 -> s130  [label=\"length_rsp:0.9\"];\ns102 -> s103  [label=\"feature_req:1.0\"];\ns102 -> s01  [label=\"feature_rsp:0.1\"];\ns102 -> s100  [label=\"feature_rsp:0.9\"];\ns102 -> s126  [label=\"version_req:1.0\"];\ns102 -> s105  [label=\"mtu_req:1.0\"];\ns102 -> s100  [label=\"pairing_req:1.0\"];\ns103 -> s01  [label=\"length_req:0.1\"];\ns103 -> s102  [label=\"length_req:0.9\"];\ns103 -> s01  [label=\"length_rsp:0.1\"];\ns103 -> s130  [label=\"length_rsp:0.9\"];\ns103 -> s103  [label=\"feature_req:1.0\"];\ns103 -> s01  [label=\"feature_rsp:0.1\"];\ns103 -> s100  [label=\"feature_rsp:0.9\"];\ns103 -> s126  [label=\"version_req:1.0\"];\ns103 -> s105  [label=\"mtu_req:1.0\"];\ns103 -> s100  [label=\"pairing_req:1.0\"];\ns104 -> s01  [label=\"length_req:0.1\"];\ns104 -> s102  [label=\"length_req:0.9\"];\ns104 -> s01  [label=\"length_rsp:0.1\"];\ns104 -> s130  [label=\"length_rsp:0.9\"];\ns104 -> s103  [label=\"feature_req:1.0\"];\ns104 -> s01  [label=\"feature_rsp:0.1\"];\ns104 -> s100  [label=\"feature_rsp:0.9\"];\ns104 -> s126  [label=\"version_req:1.0\"];\ns104 -> s105  [label=\"mtu_req:1.0\"];\ns104 -> s100  [label=\"pairing_req:1.0\"];\ns105 -> s01  [label=\"length_req:0.1\"];\ns105 -> s102  [label=\"length_req:0.9\"];\ns105 -> s01  [label=\"length_rsp:0.1\"];\ns105 -> s130  [label=\"length_rsp:0.9\"];\ns105 -> s103  [label=\"feature_req:1.0\"];\ns105 -> s01  [label=\"feature_rsp:0.1\"];\ns105 -> s100  [label=\"feature_rsp:0.9\"];\ns105 -> s126  [label=\"version_req:1.0\"];\ns105 -> s105  [label=\"mtu_req:1.0\"];\ns105 -> s100  [label=\"pairing_req:1.0\"];\ns106 -> s01  [label=\"length_req:0.1\"];\ns106 -> s102  [label=\"length_req:0.9\"];\ns106 -> s01  [label=\"length_rsp:0.1\"];\ns106 -> s130  [label=\"length_rsp:0.9\"];\ns106 -> s103  [label=\"feature_req:1.0\"];\ns106 -> s01  [label=\"feature_rsp:0.1\"];\ns106 -> s100  [label=\"feature_rsp:0.9\"];\ns106 -> s126  [label=\"version_req:1.0\"];\ns106 -> s105  [label=\"mtu_req:1.0\"];\ns106 -> s100  [label=\"pairing_req:1.0\"];\ns110 -> s112  [label=\"length_req:1.0\"];\ns110 -> s111  [label=\"length_rsp:1.0\"];\ns110 -> s114  [label=\"feature_req:1.0\"];\ns110 -> s127  [label=\"feature_rsp:1.0\"];\ns110 -> s110  [label=\"version_req:1.0\"];\ns110 -> s110  [label=\"mtu_req:1.0\"];\ns110 -> s110  [label=\"pairing_req:1.0\"];\ns111 -> s112  [label=\"length_req:1.0\"];\ns111 -> s111  [label=\"length_rsp:1.0\"];\ns111 -> s114  [label=\"feature_req:1.0\"];\ns111 -> s127  [label=\"feature_rsp:1.0\"];\ns111 -> s110  [label=\"version_req:1.0\"];\ns111 -> s110  [label=\"mtu_req:1.0\"];\ns111 -> s110  [label=\"pairing_req:1.0\"];\ns112 -> s112  [label=\"length_req:1.0\"];\ns112 -> s111  [label=\"length_rsp:1.0\"];\ns112 -> s114  [label=\"feature_req:1.0\"];\ns112 -> s127  [label=\"feature_rsp:1.0\"];\ns112 -> s110  [label=\"version_req:1.0\"];\ns112 -> s110  [label=\"mtu_req:1.0\"];\ns112 -> s110  [label=\"pairing_req:1.0\"];\ns113 -> s112  [label=\"length_req:1.0\"];\ns113 -> s111  [label=\"length_rsp:1.0\"];\ns113 -> s114  [label=\"feature_req:1.0\"];\ns113 -> s127  [label=\"feature_rsp:1.0\"];\ns113 -> s110  [label=\"version_req:1.0\"];\ns113 -> s110  [label=\"mtu_req:1.0\"];\ns113 -> s110  [label=\"pairing_req:1.0\"];\ns114 -> s112  [label=\"length_req:1.0\"];\ns114 -> s111  [label=\"length_rsp:1.0\"];\ns114 -> s114  [label=\"feature_req:1.0\"];\ns114 -> s127  [label=\"feature_rsp:1.0\"];\ns114 -> s110  [label=\"version_req:1.0\"];\ns114 -> s110  [label=\"mtu_req:1.0\"];\ns114 -> s110  [label=\"pairing_req:1.0\"];\ns120 -> s126  [label=\"length_req:0.2\"];\ns120 -> s122  [label=\"length_req:0.8\"];\ns120 -> s126  [label=\"length_rsp:0.2\"];\ns120 -> s150  [label=\"length_rsp:0.8\"];\ns120 -> s126  [label=\"feature_req:0.2\"];\ns120 -> s123  [label=\"feature_req:0.8\"];\ns120 -> s126  [label=\"feature_rsp:0.2\"];\ns120 -> s120  [label=\"feature_rsp:0.8\"];\ns120 -> s126  [label=\"version_req:0.2\"];\ns120 -> s120  [label=\"version_req:0.8\"];\ns120 -> s126  [label=\"mtu_req:0.2\"];\ns120 -> s125  [label=\"mtu_req:0.8\"];\ns120 -> s126  [label=\"pairing_req:0.2\"];\ns120 -> s120  [label=\"pairing_req:0.8\"];\ns121 -> s126  [label=\"length_req:0.2\"];\ns121 -> s122  [label=\"length_req:0.8\"];\ns121 -> s126  [label=\"length_rsp:0.2\"];\ns121 -> s150  [label=\"length_rsp:0.8\"];\ns121 -> s126  [label=\"feature_req:0.2\"];\ns121 -> s123  [label=\"feature_req:0.8\"];\ns121 -> s126  [label=\"feature_rsp:0.2\"];\ns121 -> s120  [label=\"feature_rsp:0.8\"];\ns121 -> s126  [label=\"version_req:0.2\"];\ns121 -> s120  [label=\"version_req:0.8\"];\ns121 -> s126  [label=\"mtu_req:0.2\"];\ns121 -> s125  [label=\"mtu_req:0.8\"];\ns121 -> s126  [label=\"pairing_req:0.2\"];\ns121 -> s120  [label=\"pairing_req:0.8\"];\ns122 -> s126  [label=\"length_req:0.2\"];\ns122 -> s122  [label=\"length_req:0.8\"];\ns122 -> s126  [label=\"length_rsp:0.2\"];\ns122 -> s150  [label=\"length_rsp:0.8\"];\ns122 -> s126  [label=\"feature_req:0.2\"];\ns122 -> s123  [label=\"feature_req:0.8\"];\ns122 -> s126  [label=\"feature_rsp:0.2\"];\ns122 -> s120  [label=\"feature_rsp:0.8\"];\ns122 -> s126  [label=\"version_req:0.2\"];\ns122 -> s120  [label=\"version_req:0.8\"];\ns122 -> s126  [label=\"mtu_req:0.2\"];\ns122 -> s125  [label=\"mtu_req:0.8\"];\ns122 -> s126  [label=\"pairing_req:0.2\"];\ns122 -> s120  [label=\"pairing_req:0.8\"];\ns123 -> s126  [label=\"length_req:0.2\"];\ns123 -> s122  [label=\"length_req:0.8\"];\ns123 -> s126  [label=\"length_rsp:0.2\"];\ns123 -> s150  [label=\"length_rsp:0.8\"];\ns123 -> s126  [label=\"feature_req:0.2\"];\ns123 -> s123  [label=\"feature_req:0.8\"];\ns123 -> s126  [label=\"feature_rsp:0.2\"];\ns123 -> s120  [label=\"feature_rsp:0.8\"];\ns123 -> s126  [label=\"version_req:0.2\"];\ns123 -> s120  [label=\"version_req:0.8\"];\ns123 -> s126  [label=\"mtu_req:0.2\"];\ns123 -> s125  [label=\"mtu_req:0.8\"];\ns123 -> s126  [label=\"pairing_req:0.2\"];\ns123 -> s120  [label=\"pairing_req:0.8\"];\ns124 -> s126  [label=\"length_req:0.2\"];\ns124 -> s122  [label=\"length_req:0.8\"];\ns124 -> s126  [label=\"length_rsp:0.2\"];\ns124 -> s150  [label=\"length_rsp:0.8\"];\ns124 -> s126  [label=\"feature_req:0.2\"];\ns124 -> s123  [label=\"feature_req:0.8\"];\ns124 -> s126  [label=\"feature_rsp:0.2\"];\ns124 -> s120  [label=\"feature_rsp:0.8\"];\ns124 -> s126  [label=\"version_req:0.2\"];\ns124 -> s120  [label=\"version_req:0.8\"];\ns124 -> s126  [label=\"mtu_req:0.2\"];\ns124 -> s125  [label=\"mtu_req:0.8\"];\ns124 -> s126  [label=\"pairing_req:0.2\"];\ns124 -> s120  [label=\"pairing_req:0.8\"];\ns125 -> s126  [label=\"length_req:0.2\"];\ns125 -> s122  [label=\"length_req:0.8\"];\ns125 -> s126  [label=\"length_rsp:0.2\"];\ns125 -> s150  [label=\"length_rsp:0.8\"];\ns125 -> s126  [label=\"feature_req:0.2\"];\ns125 -> s123  [label=\"feature_req:0.8\"];\ns125 -> s126  [label=\"feature_rsp:0.2\"];\ns125 -> s120  [label=\"feature_rsp:0.8\"];\ns125 -> s126  [label=\"version_req:0.2\"];\ns125 -> s120  [label=\"version_req:0.8\"];\ns125 -> s126  [label=\"mtu_req:0.2\"];\ns125 -> s125  [label=\"mtu_req:0.8\"];\ns125 -> s126  [label=\"pairing_req:0.2\"];\ns125 -> s120  [label=\"pairing_req:0.8\"];\ns126 -> s126  [label=\"length_req:0.2\"];\ns126 -> s122  [label=\"length_req:0.8\"];\ns126 -> s126  [label=\"length_rsp:0.2\"];\ns126 -> s150  [label=\"length_rsp:0.8\"];\ns126 -> s126  [label=\"feature_req:0.2\"];\ns126 -> s123  [label=\"feature_req:0.8\"];\ns126 -> s126  [label=\"feature_rsp:0.2\"];\ns126 -> s120  [label=\"feature_rsp:0.8\"];\ns126 -> s126  [label=\"version_req:0.2\"];\ns126 -> s120  [label=\"version_req:0.8\"];\ns126 -> s126  [label=\"mtu_req:0.2\"];\ns126 -> s125  [label=\"mtu_req:0.8\"];\ns126 -> s126  [label=\"pairing_req:0.2\"];\ns126 -> s120  [label=\"pairing_req:0.8\"];\ns127 -> s126  [label=\"length_req:0.2\"];\ns127 -> s122  [label=\"length_req:0.8\"];\ns127 -> s126  [label=\"length_rsp:0.2\"];\ns127 -> s150  [label=\"length_rsp:0.8\"];\ns127 -> s126  [label=\"feature_req:0.2\"];\ns127 -> s123  [label=\"feature_req:0.8\"];\ns127 -> s126  [label=\"feature_rsp:0.2\"];\ns127 -> s120  [label=\"feature_rsp:0.8\"];\ns127 -> s126  [label=\"version_req:0.2\"];\ns127 -> s120  [label=\"version_req:0.8\"];\ns127 -> s126  [label=\"mtu_req:0.2\"];\ns127 -> s125  [label=\"mtu_req:0.8\"];\ns127 -> s126  [label=\"pairing_req:0.2\"];\ns127 -> s120  [label=\"pairing_req:0.8\"];\ns130 -> s133  [label=\"length_req:1.0\"];\ns130 -> s131  [label=\"length_rsp:1.0\"];\ns130 -> s135  [label=\"feature_req:1.0\"];\ns130 -> s130  [label=\"feature_rsp:1.0\"];\ns130 -> s155  [label=\"version_req:1.0\"];\ns130 -> s134  [label=\"mtu_req:1.0\"];\ns130 -> s130  [label=\"pairing_req:1.0\"];\ns131 -> s133  [label=\"length_req:1.0\"];\ns131 -> s131  [label=\"length_rsp:1.0\"];\ns131 -> s135  [label=\"feature_req:1.0\"];\ns131 -> s130  [label=\"feature_rsp:1.0\"];\ns131 -> s155  [label=\"version_req:1.0\"];\ns131 -> s134  [label=\"mtu_req:1.0\"];\ns131 -> s130  [label=\"pairing_req:1.0\"];\ns132 -> s133  [label=\"length_req:1.0\"];\ns132 -> s131  [label=\"length_rsp:1.0\"];\ns132 -> s135  [label=\"feature_req:1.0\"];\ns132 -> s130  [label=\"feature_rsp:1.0\"];\ns132 -> s155  [label=\"version_req:1.0\"];\ns132 -> s134  [label=\"mtu_req:1.0\"];\ns132 -> s130  [label=\"pairing_req:1.0\"];\ns133 -> s133  [label=\"length_req:1.0\"];\ns133 -> s131  [label=\"length_rsp:1.0\"];\ns133 -> s135  [label=\"feature_req:1.0\"];\ns133 -> s130  [label=\"feature_rsp:1.0\"];\ns133 -> s155  [label=\"version_req:1.0\"];\ns133 -> s134  [label=\"mtu_req:1.0\"];\ns133 -> s130  [label=\"pairing_req:1.0\"];\ns134 -> s133  [label=\"length_req:1.0\"];\ns134 -> s131  [label=\"length_rsp:1.0\"];\ns134 -> s135  [label=\"feature_req:1.0\"];\ns134 -> s130  [label=\"feature_rsp:1.0\"];\ns134 -> s155  [label=\"version_req:1.0\"];\ns134 -> s134  [label=\"mtu_req:1.0\"];\ns134 -> s130  [label=\"pairing_req:1.0\"];\ns135 -> s133  [label=\"length_req:1.0\"];\ns135 -> s131  [label=\"length_rsp:1.0\"];\ns135 -> s135  [label=\"feature_req:1.0\"];\ns135 -> s130  [label=\"feature_rsp:1.0\"];\ns135 -> s155  [label=\"version_req:1.0\"];\ns135 -> s134  [label=\"mtu_req:1.0\"];\ns135 -> s130  [label=\"pairing_req:1.0\"];\ns140 -> s142  [label=\"length_req:1.0\"];\ns140 -> s141  [label=\"length_rsp:1.0\"];\ns140 -> s145  [label=\"feature_req:1.0\"];\ns140 -> s140  [label=\"feature_rsp:1.0\"];\ns140 -> s140  [label=\"version_req:1.0\"];\ns140 -> s143  [label=\"mtu_req:1.0\"];\ns140 -> s152  [label=\"pairing_req:1.0\"];\ns141 -> s142  [label=\"length_req:1.0\"];\ns141 -> s141  [label=\"length_rsp:1.0\"];\ns141 -> s145  [label=\"feature_req:1.0\"];\ns141 -> s140  [label=\"feature_rsp:1.0\"];\ns141 -> s140  [label=\"version_req:1.0\"];\ns141 -> s143  [label=\"mtu_req:1.0\"];\ns141 -> s152  [label=\"pairing_req:1.0\"];\ns142 -> s142  [label=\"length_req:1.0\"];\ns142 -> s141  [label=\"length_rsp:1.0\"];\ns142 -> s145  [label=\"feature_req:1.0\"];\ns142 -> s140  [label=\"feature_rsp:1.0\"];\ns142 -> s140  [label=\"version_req:1.0\"];\ns142 -> s143  [label=\"mtu_req:1.0\"];\ns142 -> s152  [label=\"pairing_req:1.0\"];\ns143 -> s142  [label=\"length_req:1.0\"];\ns143 -> s141  [label=\"length_rsp:1.0\"];\ns143 -> s145  [label=\"feature_req:1.0\"];\ns143 -> s140  [label=\"feature_rsp:1.0\"];\ns143 -> s140  [label=\"version_req:1.0\"];\ns143 -> s143  [label=\"mtu_req:1.0\"];\ns143 -> s152  [label=\"pairing_req:1.0\"];\ns144 -> s142  [label=\"length_req:1.0\"];\ns144 -> s141  [label=\"length_rsp:1.0\"];\ns144 -> s145  [label=\"feature_req:1.0\"];\ns144 -> s140  [label=\"feature_rsp:1.0\"];\ns144 -> s140  [label=\"version_req:1.0\"];\ns144 -> s143  [label=\"mtu_req:1.0\"];\ns144 -> s152  [label=\"pairing_req:1.0\"];\ns145 -> s142  [label=\"length_req:1.0\"];\ns145 -> s141  [label=\"length_rsp:1.0\"];\ns145 -> s145  [label=\"feature_req:1.0\"];\ns145 -> s140  [label=\"feature_rsp:1.0\"];\ns145 -> s140  [label=\"version_req:1.0\"];\ns145 -> s143  [label=\"mtu_req:1.0\"];\ns145 -> s152  [label=\"pairing_req:1.0\"];\ns150 -> s153  [label=\"length_req:1.0\"];\ns150 -> s151  [label=\"length_rsp:1.0\"];\ns150 -> s156  [label=\"feature_req:1.0\"];\ns150 -> s150  [label=\"feature_rsp:1.0\"];\ns150 -> s150  [label=\"version_req:1.0\"];\ns150 -> s154  [label=\"mtu_req:1.0\"];\ns150 -> s150  [label=\"pairing_req:1.0\"];\ns151 -> s153  [label=\"length_req:1.0\"];\ns151 -> s151  [label=\"length_rsp:1.0\"];\ns151 -> s156  [label=\"feature_req:1.0\"];\ns151 -> s150  [label=\"feature_rsp:1.0\"];\ns151 -> s150  [label=\"version_req:1.0\"];\ns151 -> s154  [label=\"mtu_req:1.0\"];\ns151 -> s150  [label=\"pairing_req:1.0\"];\ns152 -> s153  [label=\"length_req:1.0\"];\ns152 -> s151  [label=\"length_rsp:1.0\"];\ns152 -> s156  [label=\"feature_req:1.0\"];\ns152 -> s150  [label=\"feature_rsp:1.0\"];\ns152 -> s150  [label=\"version_req:1.0\"];\ns152 -> s154  [label=\"mtu_req:1.0\"];\ns152 -> s150  [label=\"pairing_req:1.0\"];\ns153 -> s153  [label=\"length_req:1.0\"];\ns153 -> s151  [label=\"length_rsp:1.0\"];\ns153 -> s156  [label=\"feature_req:1.0\"];\ns153 -> s150  [label=\"feature_rsp:1.0\"];\ns153 -> s150  [label=\"version_req:1.0\"];\ns153 -> s154  [label=\"mtu_req:1.0\"];\ns153 -> s150  [label=\"pairing_req:1.0\"];\ns154 -> s153  [label=\"length_req:1.0\"];\ns154 -> s151  [label=\"length_rsp:1.0\"];\ns154 -> s156  [label=\"feature_req:1.0\"];\ns154 -> s150  [label=\"feature_rsp:1.0\"];\ns154 -> s150  [label=\"version_req:1.0\"];\ns154 -> s154  [label=\"mtu_req:1.0\"];\ns154 -> s150  [label=\"pairing_req:1.0\"];\ns155 -> s153  [label=\"length_req:1.0\"];\ns155 -> s151  [label=\"length_rsp:1.0\"];\ns155 -> s156  [label=\"feature_req:1.0\"];\ns155 -> s150  [label=\"feature_rsp:1.0\"];\ns155 -> s150  [label=\"version_req:1.0\"];\ns155 -> s154  [label=\"mtu_req:1.0\"];\ns155 -> s150  [label=\"pairing_req:1.0\"];\ns156 -> s153  [label=\"length_req:1.0\"];\ns156 -> s151  [label=\"length_rsp:1.0\"];\ns156 -> s156  [label=\"feature_req:1.0\"];\ns156 -> s150  [label=\"feature_rsp:1.0\"];\ns156 -> s150  [label=\"version_req:1.0\"];\ns156 -> s154  [label=\"mtu_req:1.0\"];\ns156 -> s150  [label=\"pairing_req:1.0\"];\n__start0 [label=\"\", shape=none];\n__start0 -> 0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/MDPs/faulty_car_alarm.dot",
    "content": "digraph faulty_car_alarm {\nq1_locked_closed [label=\"N\"];\nq2_locked_open [label=\"A\"];\nq3_locked_closed [label=\"A\"];\nq5_unlocked_closed [label=\"N\"];\nq6_unlocked_open [label=\"N\"];\nq7_locked_open [label=\"N\"];\nq4_faulty [label=\"N\"];\nq1_locked_closed -> q2_locked_open  [label=\"d:1\"];\nq1_locked_closed -> q5_unlocked_closed  [label=\"l:1\"];\nq2_locked_open -> q3_locked_closed  [label=\"d:1\"];\nq2_locked_open -> q6_unlocked_open  [label=\"l:1\"];\nq3_locked_closed -> q2_locked_open  [label=\"d:1\"];\nq3_locked_closed -> q5_unlocked_closed  [label=\"l:1\"];\nq5_unlocked_closed -> q6_unlocked_open  [label=\"d:1\"];\nq5_unlocked_closed -> q1_locked_closed  [label=\"l:1\"];\nq6_unlocked_open -> q5_unlocked_closed  [label=\"d:1\"];\nq6_unlocked_open -> q7_locked_open  [label=\"l:1\"];\nq7_locked_open -> q4_faulty  [label=\"d:1\"];\nq7_locked_open -> q6_unlocked_open  [label=\"l:1\"];\nq4_faulty -> q2_locked_open  [label=\"d:0.9\"];\nq4_faulty -> q7_locked_open  [label=\"d:0.1\"];\nq4_faulty -> q5_unlocked_closed  [label=\"l:1\"];\n__start0 [label=\"\", shape=none];\n__start0 -> q1_locked_closed  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/MDPs/first_grid.dot",
    "content": "digraph first_grid {\n28 [label=\"mud\"];\n17 [label=\"grass\"];\n25 [label=\"wall\"];\n24 [label=\"concrete\"];\n13 [label=\"wall\"];\n26 [label=\"concrete\"];\n4 [label=\"wall\"];\n6 [label=\"grass__goal\"];\n10 [label=\"wall\"];\n8 [label=\"concrete\"];\n27 [label=\"wall\"];\n31 [label=\"wall\"];\n2 [label=\"wall\"];\n0 [label=\"concrete\"];\n20 [label=\"wall\"];\n14 [label=\"sand\"];\n22 [label=\"wall\"];\n23 [label=\"mud\"];\n21 [label=\"mud\"];\n12 [label=\"grass\"];\n16 [label=\"wall\"];\n18 [label=\"wall\"];\n11 [label=\"mud\"];\n15 [label=\"concrete\"];\n3 [label=\"sand\"];\n33 [label=\"grass\"];\n5 [label=\"mud\"];\n9 [label=\"wall\"];\n19 [label=\"concrete\"];\n29 [label=\"grass\"];\n30 [label=\"wall\"];\n7 [label=\"wall__goal\"];\n32 [label=\"mud\"];\n1 [label=\"wall\"];\n34 [label=\"wall\"];\n28 -> 27  [label=\"East:1.0\"];\n28 -> 26  [label=\"North:1.0\"];\n28 -> 29  [label=\"South:0.8\"];\n28 -> 21  [label=\"South:0.2\"];\n28 -> 19  [label=\"West:1.0\"];\n17 -> 26  [label=\"East:1.0\"];\n17 -> 18  [label=\"North:1.0\"];\n17 -> 19  [label=\"South:1.0\"];\n17 -> 11  [label=\"West:0.6\"];\n17 -> 12  [label=\"West:0.4\"];\n25 -> 33  [label=\"East:0.4\"];\n25 -> 32  [label=\"East:0.6\"];\n25 -> 15  [label=\"North:0.4\"];\n25 -> 23  [label=\"North:0.6\"];\n25 -> 26  [label=\"South:1.0\"];\n25 -> 25  [label=\"West:1.0\"];\n24 -> 32  [label=\"East:0.6\"];\n24 -> 33  [label=\"East:0.4\"];\n24 -> 15  [label=\"North:0.4\"];\n24 -> 23  [label=\"North:0.6\"];\n24 -> 26  [label=\"South:1.0\"];\n24 -> 25  [label=\"West:1.0\"];\n13 -> 21  [label=\"East:0.6\"];\n13 -> 19  [label=\"East:0.4\"];\n13 -> 5  [label=\"North:0.1\"];\n13 -> 12  [label=\"North:0.8\"];\n13 -> 19  [label=\"North:0.1\"];\n13 -> 13  [label=\"South:1.0\"];\n13 -> 6  [label=\"West:0.8\"];\n13 -> 5  [label=\"West:0.2\"];\n26 -> 32  [label=\"East:0.2\"];\n26 -> 33  [label=\"East:0.8\"];\n26 -> 24  [label=\"North:1.0\"];\n26 -> 19  [label=\"South:0.4\"];\n26 -> 28  [label=\"South:0.6\"];\n26 -> 19  [label=\"West:0.2\"];\n26 -> 17  [label=\"West:0.8\"];\n4 -> 11  [label=\"East:0.1\"];\n4 -> 12  [label=\"East:0.8\"];\n4 -> 14  [label=\"East:0.1\"];\n4 -> 3  [label=\"North:0.75\"];\n4 -> 11  [label=\"North:0.25\"];\n4 -> 6  [label=\"South:0.8\"];\n4 -> 14  [label=\"South:0.2\"];\n4 -> 4  [label=\"West:1.0\"];\n6 -> 12  [label=\"East:0.25\"];\n6 -> 14  [label=\"East:0.75\"];\n6 -> 12  [label=\"North:0.4\"];\n6 -> 5  [label=\"North:0.6\"];\n6 -> 7  [label=\"South:1.0\"];\n6 -> 7  [label=\"West:1.0\"];\n10 -> 17  [label=\"East:0.8\"];\n10 -> 19  [label=\"East:0.2\"];\n10 -> 10  [label=\"North:1.0\"];\n10 -> 5  [label=\"South:0.1\"];\n10 -> 12  [label=\"South:0.8\"];\n10 -> 19  [label=\"South:0.1\"];\n10 -> 5  [label=\"West:0.25\"];\n10 -> 3  [label=\"West:0.75\"];\n8 -> 15  [label=\"East:1.0\"];\n8 -> 9  [label=\"North:1.0\"];\n8 -> 9  [label=\"South:1.0\"];\n8 -> 0  [label=\"West:1.0\"];\n27 -> 27  [label=\"East:1.0\"];\n27 -> 26  [label=\"North:1.0\"];\n27 -> 29  [label=\"South:0.8\"];\n27 -> 21  [label=\"South:0.2\"];\n27 -> 19  [label=\"West:1.0\"];\n31 -> 31  [label=\"East:1.0\"];\n31 -> 31  [label=\"North:1.0\"];\n31 -> 33  [label=\"South:0.8\"];\n31 -> 26  [label=\"South:0.2\"];\n31 -> 24  [label=\"West:1.0\"];\n2 -> 11  [label=\"East:0.6\"];\n2 -> 12  [label=\"East:0.4\"];\n2 -> 2  [label=\"North:1.0\"];\n2 -> 12  [label=\"South:0.4\"];\n2 -> 5  [label=\"South:0.6\"];\n2 -> 2  [label=\"West:1.0\"];\n0 -> 8  [label=\"East:1.0\"];\n0 -> 1  [label=\"North:1.0\"];\n0 -> 1  [label=\"South:1.0\"];\n0 -> 1  [label=\"West:1.0\"];\n20 -> 28  [label=\"East:0.2\"];\n20 -> 29  [label=\"East:0.8\"];\n20 -> 19  [label=\"North:1.0\"];\n20 -> 20  [label=\"South:1.0\"];\n20 -> 14  [label=\"West:0.75\"];\n20 -> 12  [label=\"West:0.25\"];\n14 -> 21  [label=\"East:0.6\"];\n14 -> 19  [label=\"East:0.4\"];\n14 -> 12  [label=\"North:0.8\"];\n14 -> 19  [label=\"North:0.1\"];\n14 -> 5  [label=\"North:0.1\"];\n14 -> 13  [label=\"South:1.0\"];\n14 -> 6  [label=\"West:0.8\"];\n14 -> 5  [label=\"West:0.2\"];\n22 -> 22  [label=\"East:1.0\"];\n22 -> 22  [label=\"North:1.0\"];\n22 -> 24  [label=\"South:1.0\"];\n22 -> 15  [label=\"West:1.0\"];\n23 -> 22  [label=\"East:1.0\"];\n23 -> 22  [label=\"North:1.0\"];\n23 -> 24  [label=\"South:1.0\"];\n23 -> 15  [label=\"West:1.0\"];\n21 -> 29  [label=\"East:0.8\"];\n21 -> 28  [label=\"East:0.2\"];\n21 -> 19  [label=\"North:1.0\"];\n21 -> 20  [label=\"South:1.0\"];\n21 -> 14  [label=\"West:0.75\"];\n21 -> 12  [label=\"West:0.25\"];\n12 -> 19  [label=\"East:1.0\"];\n12 -> 3  [label=\"North:0.2\"];\n12 -> 17  [label=\"North:0.2\"];\n12 -> 11  [label=\"North:0.6\"];\n12 -> 6  [label=\"South:0.125\"];\n12 -> 14  [label=\"South:0.75\"];\n12 -> 21  [label=\"South:0.125\"];\n12 -> 5  [label=\"West:0.6\"];\n12 -> 6  [label=\"West:0.2\"];\n12 -> 3  [label=\"West:0.2\"];\n16 -> 24  [label=\"East:0.4\"];\n16 -> 23  [label=\"East:0.6\"];\n16 -> 16  [label=\"North:1.0\"];\n16 -> 16  [label=\"South:1.0\"];\n16 -> 8  [label=\"West:1.0\"];\n18 -> 26  [label=\"East:1.0\"];\n18 -> 18  [label=\"North:1.0\"];\n18 -> 19  [label=\"South:1.0\"];\n18 -> 12  [label=\"West:0.4\"];\n18 -> 11  [label=\"West:0.6\"];\n11 -> 17  [label=\"East:0.8\"];\n11 -> 19  [label=\"East:0.2\"];\n11 -> 10  [label=\"North:1.0\"];\n11 -> 5  [label=\"South:0.1\"];\n11 -> 12  [label=\"South:0.8\"];\n11 -> 19  [label=\"South:0.1\"];\n11 -> 3  [label=\"West:0.75\"];\n11 -> 5  [label=\"West:0.25\"];\n15 -> 23  [label=\"East:0.6\"];\n15 -> 24  [label=\"East:0.4\"];\n15 -> 16  [label=\"North:1.0\"];\n15 -> 16  [label=\"South:1.0\"];\n15 -> 8  [label=\"West:1.0\"];\n3 -> 12  [label=\"East:0.4\"];\n3 -> 11  [label=\"East:0.6\"];\n3 -> 2  [label=\"North:1.0\"];\n3 -> 12  [label=\"South:0.4\"];\n3 -> 5  [label=\"South:0.6\"];\n3 -> 2  [label=\"West:1.0\"];\n33 -> 34  [label=\"East:1.0\"];\n33 -> 32  [label=\"North:0.6\"];\n33 -> 24  [label=\"North:0.4\"];\n33 -> 34  [label=\"South:1.0\"];\n33 -> 26  [label=\"West:1.0\"];\n5 -> 14  [label=\"East:0.1\"];\n5 -> 11  [label=\"East:0.1\"];\n5 -> 12  [label=\"East:0.8\"];\n5 -> 3  [label=\"North:0.75\"];\n5 -> 11  [label=\"North:0.25\"];\n5 -> 6  [label=\"South:0.8\"];\n5 -> 14  [label=\"South:0.2\"];\n5 -> 4  [label=\"West:1.0\"];\n9 -> 15  [label=\"East:1.0\"];\n9 -> 9  [label=\"North:1.0\"];\n9 -> 9  [label=\"South:1.0\"];\n9 -> 0  [label=\"West:1.0\"];\n19 -> 29  [label=\"East:0.2\"];\n19 -> 26  [label=\"East:0.2\"];\n19 -> 28  [label=\"East:0.6\"];\n19 -> 26  [label=\"North:0.1\"];\n19 -> 11  [label=\"North:0.1\"];\n19 -> 17  [label=\"North:0.8\"];\n19 -> 14  [label=\"South:0.2\"];\n19 -> 21  [label=\"South:0.6\"];\n19 -> 29  [label=\"South:0.2\"];\n19 -> 11  [label=\"West:0.1\"];\n19 -> 12  [label=\"West:0.8\"];\n19 -> 14  [label=\"West:0.1\"];\n29 -> 30  [label=\"East:1.0\"];\n29 -> 19  [label=\"North:0.4\"];\n29 -> 28  [label=\"North:0.6\"];\n29 -> 30  [label=\"South:1.0\"];\n29 -> 19  [label=\"West:0.4\"];\n29 -> 21  [label=\"West:0.6\"];\n30 -> 30  [label=\"East:1.0\"];\n30 -> 19  [label=\"North:0.4\"];\n30 -> 28  [label=\"North:0.6\"];\n30 -> 30  [label=\"South:1.0\"];\n30 -> 21  [label=\"West:0.6\"];\n30 -> 19  [label=\"West:0.4\"];\n7 -> 12  [label=\"East:0.25\"];\n7 -> 14  [label=\"East:0.75\"];\n7 -> 5  [label=\"North:0.6\"];\n7 -> 12  [label=\"North:0.4\"];\n7 -> 7  [label=\"South:1.0\"];\n7 -> 7  [label=\"West:1.0\"];\n32 -> 31  [label=\"East:1.0\"];\n32 -> 31  [label=\"North:1.0\"];\n32 -> 33  [label=\"South:0.8\"];\n32 -> 26  [label=\"South:0.2\"];\n32 -> 24  [label=\"West:1.0\"];\n1 -> 8  [label=\"East:1.0\"];\n1 -> 1  [label=\"North:1.0\"];\n1 -> 1  [label=\"South:1.0\"];\n1 -> 1  [label=\"West:1.0\"];\n34 -> 34  [label=\"East:1.0\"];\n34 -> 24  [label=\"North:0.4\"];\n34 -> 32  [label=\"North:0.6\"];\n34 -> 34  [label=\"South:1.0\"];\n34 -> 26  [label=\"West:1.0\"];\n__start0 [label=\"\", shape=none];\n__start0 -> 0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/MDPs/mqtt.dot",
    "content": "digraph mqtt {\n39 [label=\"c1_ConnAck__c2_Empty\"];\n40 [label=\"c1_ConnectionClosed_eof_stream__c2_SubAck\"];\n9 [label=\"c2_UnSubAck__c1_Empty\"];\n0 [label=\"c1_UnSubAck__c2_ConnectionClosed_client_close\"];\n28 [label=\"c2_ConnectionClosed_client_close__c1_ConnectionClosed_eof_stream\"];\n55 [label=\"c2_ConnectionClosed_client_close__c1_ConnAck\"];\n5 [label=\"c1_Pub_c1_my_topic_bye__c2_ConnectionClosed_eof_stream__c1_SubAck\"];\n26 [label=\"c2_ConnectionClosed_client_close__c1_Empty\"];\n42 [label=\"c1_UnSubAck__c2_ConnectionClosed_eof_stream\"];\n49 [label=\"c2_SubAck__c1_ConnectionClosed_client_close\"];\n20 [label=\"c2_Pub_c2_my_topic_bye__c1_ConnectionClosed_eof_stream__c2_SubAck\"];\n32 [label=\"c1_UnSubAck__c2_Empty\"];\n1 [label=\"c1_Pub_c1_my_topic_bye__c2_ConnectionClosed_client_close__c1_SubAck\"];\n19 [label=\"c2_Pub_c2_my_topic_messageQos0__c1_Pub_c1_my_topic_messageQos0\"];\n2 [label=\"c2_ConnectionClosed_client_close__c1_SubAck\"];\n17 [label=\"c2_crash__c1_crash\"];\n29 [label=\"c2_Pub_c2_my_topic_bye__c2_SubAck__c1_Empty\"];\n46 [label=\"c2_Empty__c1_ConnectionClosed_client_close\"];\n47 [label=\"c1_UnSubAck__c2_Empty\"];\n38 [label=\"c2_Pub_c2_my_topic_messageQos1__c1_PubAck\"];\n44 [label=\"c1_ConnectionClosed_eof_stream__c2_Empty\"];\n37 [label=\"c2_ConnectionClosed_client_close__c1_ConnectionClosed_client_close\"];\n60 [label=\"c1_Pub_c1_my_topic_messageQos1__c2_ConnectionClosed_eof_stream__c1_PubAck\"];\n13 [label=\"c1_Pub_c1_my_topic_messageQos0__c2_Empty\"];\n23 [label=\"c2_Empty__c1_ConnectionClosed_client_close\"];\n30 [label=\"c2_Empty__c1_PubAck\"];\n51 [label=\"c2_ConnectionClosed_eof_stream__c1_Empty\"];\n4 [label=\"c1_ConnAck__c2_ConnectionClosed_eof_stream\"];\n34 [label=\"c2_ConnectionClosed_client_close__c1_PubAck\"];\n16 [label=\"start\"];\n43 [label=\"c1_ConnectionClosed_eof_stream__c2_Empty\"];\n21 [label=\"c2_UnSubAck__c1_Empty\"];\n11 [label=\"c1_ConnectionClosed_eof_stream__c2_UnSubAck\"];\n54 [label=\"c2_ConnectionClosed_eof_stream__c1_ConnectionClosed_client_close\"];\n45 [label=\"c1_ConnectionClosed_eof_stream__c2_ConnectionClosed_eof_stream\"];\n48 [label=\"c2_Pub_c2_my_topic_bye__c1_ConnectionClosed_eof_stream\"];\n25 [label=\"c2_Empty__c1_Empty\"];\n12 [label=\"c2_UnSubAck__c1_ConnectionClosed_client_close\"];\n58 [label=\"c1_ConnAck__c2_Empty\"];\n31 [label=\"c2_Empty__c1_SubAck\"];\n22 [label=\"c1_Pub_c1_my_topic_bye__c2_Empty__c1_SubAck\"];\n35 [label=\"c2_Pub_c2_my_topic_bye__c2_SubAck__c1_Empty\"];\n6 [label=\"c2_Pub_c2_my_topic_messageQos0__c1_Empty\"];\n56 [label=\"c2_Pub_c2_my_topic_messageQos0__c1_ConnectionClosed_eof_stream\"];\n10 [label=\"c2_SubAck__c1_Empty\"];\n57 [label=\"c1_Pub_c1_my_topic_messageQos1__c2_ConnectionClosed_client_close__c1_PubAck\"];\n41 [label=\"c1_Pub_c1_my_topic_messageQos1__c2_Empty__c1_PubAck\"];\n14 [label=\"c2_ConnAck__c1_Empty\"];\n61 [label=\"c2_Pub_c2_my_topic_messageQos1__c1_Pub_c1_my_topic_messageQos1__c1_PubAck\"];\n18 [label=\"c2_ConnAck__c1_Empty\"];\n7 [label=\"c2_ConnectionClosed_client_close__c1_Empty\"];\n33 [label=\"c2_Pub_c2_my_topic_bye__c2_SubAck__c1_ConnectionClosed_client_close\"];\n53 [label=\"c2_ConnectionClosed_eof_stream__c1_Empty\"];\n27 [label=\"c2_SubAck__c1_Empty\"];\n8 [label=\"c2_ConnectionClosed_eof_stream__c1_PubAck\"];\n52 [label=\"c2_Pub_c2_my_topic_bye__c1_ConnectionClosed_client_close\"];\n59 [label=\"c2_ConnectionClosed_eof_stream__c1_SubAck\"];\n36 [label=\"c2_Empty__c1_SubAck\"];\n15 [label=\"c2_ConnAck__c1_ConnectionClosed_client_close\"];\n50 [label=\"c1_Pub_c1_my_topic_bye__c2_Empty__c1_SubAck\"];\n24 [label=\"c2_ConnAck__c1_ConnectionClosed_eof_stream\"];\n3 [label=\"c2_Pub_c2_my_topic_messageQos0__c1_ConnectionClosed_client_close\"];\n39 -> 44  [label=\"ConnectC1WithWill:1.0\"];\n39 -> 51  [label=\"ConnectC2:1.0\"];\n39 -> 46  [label=\"DisconnectTCPC1:1.0\"];\n39 -> 25  [label=\"PublishQoS0C2:1.0\"];\n39 -> 30  [label=\"PublishQoS1C1:1.0\"];\n39 -> 50  [label=\"SubscribeC1:1.0\"];\n39 -> 17  [label=\"SubscribeC2:0.1\"];\n39 -> 29  [label=\"SubscribeC2:0.9\"];\n39 -> 32  [label=\"UnSubScribeC1:1.0\"];\n39 -> 21  [label=\"UnSubScribeC2:1.0\"];\n40 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n40 -> 58  [label=\"ConnectC1WithWill:0.9\"];\n40 -> 45  [label=\"ConnectC2:1.0\"];\n40 -> 23  [label=\"DisconnectTCPC1:1.0\"];\n40 -> 56  [label=\"PublishQoS0C2:1.0\"];\n40 -> 43  [label=\"PublishQoS1C1:1.0\"];\n40 -> 43  [label=\"SubscribeC1:1.0\"];\n40 -> 17  [label=\"SubscribeC2:0.1\"];\n40 -> 40  [label=\"SubscribeC2:0.9\"];\n40 -> 43  [label=\"UnSubScribeC1:1.0\"];\n40 -> 11  [label=\"UnSubScribeC2:1.0\"];\n9 -> 44  [label=\"ConnectC1WithWill:1.0\"];\n9 -> 53  [label=\"ConnectC2:1.0\"];\n9 -> 46  [label=\"DisconnectTCPC1:1.0\"];\n9 -> 13  [label=\"PublishQoS0C2:1.0\"];\n9 -> 41  [label=\"PublishQoS1C1:1.0\"];\n9 -> 36  [label=\"SubscribeC1:1.0\"];\n9 -> 17  [label=\"SubscribeC2:0.1\"];\n9 -> 35  [label=\"SubscribeC2:0.9\"];\n9 -> 32  [label=\"UnSubScribeC1:1.0\"];\n9 -> 9  [label=\"UnSubScribeC2:1.0\"];\n0 -> 28  [label=\"ConnectC1WithWill:1.0\"];\n0 -> 18  [label=\"ConnectC2:0.9\"];\n0 -> 17  [label=\"ConnectC2:0.1\"];\n0 -> 37  [label=\"DisconnectTCPC1:1.0\"];\n0 -> 26  [label=\"PublishQoS0C2:1.0\"];\n0 -> 34  [label=\"PublishQoS1C1:1.0\"];\n0 -> 1  [label=\"SubscribeC1:1.0\"];\n0 -> 26  [label=\"SubscribeC2:1.0\"];\n0 -> 0  [label=\"UnSubScribeC1:1.0\"];\n0 -> 26  [label=\"UnSubScribeC2:1.0\"];\n28 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n28 -> 55  [label=\"ConnectC1WithWill:0.9\"];\n28 -> 24  [label=\"ConnectC2:0.9\"];\n28 -> 17  [label=\"ConnectC2:0.1\"];\n28 -> 37  [label=\"DisconnectTCPC1:1.0\"];\n28 -> 28  [label=\"PublishQoS0C2:1.0\"];\n28 -> 28  [label=\"PublishQoS1C1:1.0\"];\n28 -> 28  [label=\"SubscribeC1:1.0\"];\n28 -> 28  [label=\"SubscribeC2:1.0\"];\n28 -> 28  [label=\"UnSubScribeC1:1.0\"];\n28 -> 28  [label=\"UnSubScribeC2:1.0\"];\n55 -> 28  [label=\"ConnectC1WithWill:1.0\"];\n55 -> 18  [label=\"ConnectC2:0.9\"];\n55 -> 17  [label=\"ConnectC2:0.1\"];\n55 -> 37  [label=\"DisconnectTCPC1:1.0\"];\n55 -> 26  [label=\"PublishQoS0C2:1.0\"];\n55 -> 34  [label=\"PublishQoS1C1:1.0\"];\n55 -> 1  [label=\"SubscribeC1:1.0\"];\n55 -> 26  [label=\"SubscribeC2:1.0\"];\n55 -> 0  [label=\"UnSubScribeC1:1.0\"];\n55 -> 26  [label=\"UnSubScribeC2:1.0\"];\n5 -> 45  [label=\"ConnectC1WithWill:1.0\"];\n5 -> 14  [label=\"ConnectC2:0.9\"];\n5 -> 17  [label=\"ConnectC2:0.1\"];\n5 -> 54  [label=\"DisconnectTCPC1:1.0\"];\n5 -> 53  [label=\"PublishQoS0C2:1.0\"];\n5 -> 60  [label=\"PublishQoS1C1:1.0\"];\n5 -> 59  [label=\"SubscribeC1:1.0\"];\n5 -> 53  [label=\"SubscribeC2:1.0\"];\n5 -> 42  [label=\"UnSubScribeC1:1.0\"];\n5 -> 53  [label=\"UnSubScribeC2:1.0\"];\n26 -> 28  [label=\"ConnectC1WithWill:1.0\"];\n26 -> 17  [label=\"ConnectC2:0.1\"];\n26 -> 18  [label=\"ConnectC2:0.9\"];\n26 -> 37  [label=\"DisconnectTCPC1:1.0\"];\n26 -> 26  [label=\"PublishQoS0C2:1.0\"];\n26 -> 34  [label=\"PublishQoS1C1:1.0\"];\n26 -> 1  [label=\"SubscribeC1:1.0\"];\n26 -> 26  [label=\"SubscribeC2:1.0\"];\n26 -> 0  [label=\"UnSubScribeC1:1.0\"];\n26 -> 26  [label=\"UnSubScribeC2:1.0\"];\n42 -> 45  [label=\"ConnectC1WithWill:1.0\"];\n42 -> 18  [label=\"ConnectC2:0.9\"];\n42 -> 17  [label=\"ConnectC2:0.1\"];\n42 -> 54  [label=\"DisconnectTCPC1:1.0\"];\n42 -> 51  [label=\"PublishQoS0C2:1.0\"];\n42 -> 8  [label=\"PublishQoS1C1:1.0\"];\n42 -> 5  [label=\"SubscribeC1:1.0\"];\n42 -> 51  [label=\"SubscribeC2:1.0\"];\n42 -> 42  [label=\"UnSubScribeC1:1.0\"];\n42 -> 51  [label=\"UnSubScribeC2:1.0\"];\n49 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n49 -> 58  [label=\"ConnectC1WithWill:0.9\"];\n49 -> 54  [label=\"ConnectC2:1.0\"];\n49 -> 23  [label=\"DisconnectTCPC1:1.0\"];\n49 -> 3  [label=\"PublishQoS0C2:1.0\"];\n49 -> 23  [label=\"PublishQoS1C1:1.0\"];\n49 -> 23  [label=\"SubscribeC1:1.0\"];\n49 -> 17  [label=\"SubscribeC2:0.1\"];\n49 -> 49  [label=\"SubscribeC2:0.9\"];\n49 -> 23  [label=\"UnSubScribeC1:1.0\"];\n49 -> 12  [label=\"UnSubScribeC2:1.0\"];\n20 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n20 -> 58  [label=\"ConnectC1WithWill:0.9\"];\n20 -> 45  [label=\"ConnectC2:1.0\"];\n20 -> 23  [label=\"DisconnectTCPC1:1.0\"];\n20 -> 56  [label=\"PublishQoS0C2:1.0\"];\n20 -> 43  [label=\"PublishQoS1C1:1.0\"];\n20 -> 43  [label=\"SubscribeC1:1.0\"];\n20 -> 17  [label=\"SubscribeC2:0.1\"];\n20 -> 40  [label=\"SubscribeC2:0.9\"];\n20 -> 43  [label=\"UnSubScribeC1:1.0\"];\n20 -> 11  [label=\"UnSubScribeC2:1.0\"];\n32 -> 44  [label=\"ConnectC1WithWill:1.0\"];\n32 -> 51  [label=\"ConnectC2:1.0\"];\n32 -> 46  [label=\"DisconnectTCPC1:1.0\"];\n32 -> 25  [label=\"PublishQoS0C2:1.0\"];\n32 -> 30  [label=\"PublishQoS1C1:1.0\"];\n32 -> 50  [label=\"SubscribeC1:1.0\"];\n32 -> 17  [label=\"SubscribeC2:0.1\"];\n32 -> 29  [label=\"SubscribeC2:0.9\"];\n32 -> 32  [label=\"UnSubScribeC1:1.0\"];\n32 -> 21  [label=\"UnSubScribeC2:1.0\"];\n1 -> 28  [label=\"ConnectC1WithWill:1.0\"];\n1 -> 17  [label=\"ConnectC2:0.1\"];\n1 -> 14  [label=\"ConnectC2:0.9\"];\n1 -> 37  [label=\"DisconnectTCPC1:1.0\"];\n1 -> 7  [label=\"PublishQoS0C2:1.0\"];\n1 -> 57  [label=\"PublishQoS1C1:1.0\"];\n1 -> 2  [label=\"SubscribeC1:1.0\"];\n1 -> 7  [label=\"SubscribeC2:1.0\"];\n1 -> 0  [label=\"UnSubScribeC1:1.0\"];\n1 -> 7  [label=\"UnSubScribeC2:1.0\"];\n19 -> 48  [label=\"ConnectC1WithWill:1.0\"];\n19 -> 53  [label=\"ConnectC2:1.0\"];\n19 -> 52  [label=\"DisconnectTCPC1:1.0\"];\n19 -> 19  [label=\"PublishQoS0C2:1.0\"];\n19 -> 61  [label=\"PublishQoS1C1:1.0\"];\n19 -> 31  [label=\"SubscribeC1:1.0\"];\n19 -> 10  [label=\"SubscribeC2:0.9\"];\n19 -> 17  [label=\"SubscribeC2:0.1\"];\n19 -> 47  [label=\"UnSubScribeC1:1.0\"];\n19 -> 9  [label=\"UnSubScribeC2:1.0\"];\n2 -> 28  [label=\"ConnectC1WithWill:1.0\"];\n2 -> 14  [label=\"ConnectC2:0.9\"];\n2 -> 17  [label=\"ConnectC2:0.1\"];\n2 -> 37  [label=\"DisconnectTCPC1:1.0\"];\n2 -> 7  [label=\"PublishQoS0C2:1.0\"];\n2 -> 57  [label=\"PublishQoS1C1:1.0\"];\n2 -> 2  [label=\"SubscribeC1:1.0\"];\n2 -> 7  [label=\"SubscribeC2:1.0\"];\n2 -> 0  [label=\"UnSubScribeC1:1.0\"];\n2 -> 7  [label=\"UnSubScribeC2:1.0\"];\n17 -> 17  [label=\"ConnectC1WithWill:0.2\"];\n17 -> 55  [label=\"ConnectC1WithWill:0.8\"];\n17 -> 15  [label=\"ConnectC2:0.8\"];\n17 -> 17  [label=\"ConnectC2:0.2\"];\n17 -> 37  [label=\"DisconnectTCPC1:1.0\"];\n17 -> 37  [label=\"PublishQoS0C2:1.0\"];\n17 -> 37  [label=\"PublishQoS1C1:1.0\"];\n17 -> 37  [label=\"SubscribeC1:1.0\"];\n17 -> 37  [label=\"SubscribeC2:1.0\"];\n17 -> 37  [label=\"UnSubScribeC1:1.0\"];\n17 -> 37  [label=\"UnSubScribeC2:1.0\"];\n29 -> 48  [label=\"ConnectC1WithWill:1.0\"];\n29 -> 51  [label=\"ConnectC2:1.0\"];\n29 -> 52  [label=\"DisconnectTCPC1:1.0\"];\n29 -> 6  [label=\"PublishQoS0C2:1.0\"];\n29 -> 38  [label=\"PublishQoS1C1:1.0\"];\n29 -> 22  [label=\"SubscribeC1:1.0\"];\n29 -> 17  [label=\"SubscribeC2:0.1\"];\n29 -> 27  [label=\"SubscribeC2:0.9\"];\n29 -> 47  [label=\"UnSubScribeC1:1.0\"];\n29 -> 21  [label=\"UnSubScribeC2:1.0\"];\n46 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n46 -> 39  [label=\"ConnectC1WithWill:0.9\"];\n46 -> 54  [label=\"ConnectC2:1.0\"];\n46 -> 46  [label=\"DisconnectTCPC1:1.0\"];\n46 -> 46  [label=\"PublishQoS0C2:1.0\"];\n46 -> 46  [label=\"PublishQoS1C1:1.0\"];\n46 -> 46  [label=\"SubscribeC1:1.0\"];\n46 -> 33  [label=\"SubscribeC2:0.9\"];\n46 -> 17  [label=\"SubscribeC2:0.1\"];\n46 -> 46  [label=\"UnSubScribeC1:1.0\"];\n46 -> 12  [label=\"UnSubScribeC2:1.0\"];\n47 -> 48  [label=\"ConnectC1WithWill:1.0\"];\n47 -> 51  [label=\"ConnectC2:1.0\"];\n47 -> 52  [label=\"DisconnectTCPC1:1.0\"];\n47 -> 6  [label=\"PublishQoS0C2:1.0\"];\n47 -> 38  [label=\"PublishQoS1C1:1.0\"];\n47 -> 22  [label=\"SubscribeC1:1.0\"];\n47 -> 27  [label=\"SubscribeC2:0.9\"];\n47 -> 17  [label=\"SubscribeC2:0.1\"];\n47 -> 47  [label=\"UnSubScribeC1:1.0\"];\n47 -> 21  [label=\"UnSubScribeC2:1.0\"];\n38 -> 48  [label=\"ConnectC1WithWill:1.0\"];\n38 -> 51  [label=\"ConnectC2:1.0\"];\n38 -> 52  [label=\"DisconnectTCPC1:1.0\"];\n38 -> 6  [label=\"PublishQoS0C2:1.0\"];\n38 -> 38  [label=\"PublishQoS1C1:1.0\"];\n38 -> 22  [label=\"SubscribeC1:1.0\"];\n38 -> 17  [label=\"SubscribeC2:0.1\"];\n38 -> 27  [label=\"SubscribeC2:0.9\"];\n38 -> 47  [label=\"UnSubScribeC1:1.0\"];\n38 -> 21  [label=\"UnSubScribeC2:1.0\"];\n44 -> 39  [label=\"ConnectC1WithWill:0.9\"];\n44 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n44 -> 45  [label=\"ConnectC2:1.0\"];\n44 -> 46  [label=\"DisconnectTCPC1:1.0\"];\n44 -> 44  [label=\"PublishQoS0C2:1.0\"];\n44 -> 44  [label=\"PublishQoS1C1:1.0\"];\n44 -> 44  [label=\"SubscribeC1:1.0\"];\n44 -> 20  [label=\"SubscribeC2:0.9\"];\n44 -> 17  [label=\"SubscribeC2:0.1\"];\n44 -> 44  [label=\"UnSubScribeC1:1.0\"];\n44 -> 11  [label=\"UnSubScribeC2:1.0\"];\n37 -> 55  [label=\"ConnectC1WithWill:0.9\"];\n37 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n37 -> 15  [label=\"ConnectC2:0.9\"];\n37 -> 17  [label=\"ConnectC2:0.1\"];\n37 -> 37  [label=\"DisconnectTCPC1:1.0\"];\n37 -> 37  [label=\"PublishQoS0C2:1.0\"];\n37 -> 37  [label=\"PublishQoS1C1:1.0\"];\n37 -> 37  [label=\"SubscribeC1:1.0\"];\n37 -> 37  [label=\"SubscribeC2:1.0\"];\n37 -> 37  [label=\"UnSubScribeC1:1.0\"];\n37 -> 37  [label=\"UnSubScribeC2:1.0\"];\n60 -> 45  [label=\"ConnectC1WithWill:1.0\"];\n60 -> 14  [label=\"ConnectC2:0.9\"];\n60 -> 17  [label=\"ConnectC2:0.1\"];\n60 -> 54  [label=\"DisconnectTCPC1:1.0\"];\n60 -> 53  [label=\"PublishQoS0C2:1.0\"];\n60 -> 60  [label=\"PublishQoS1C1:1.0\"];\n60 -> 59  [label=\"SubscribeC1:1.0\"];\n60 -> 53  [label=\"SubscribeC2:1.0\"];\n60 -> 42  [label=\"UnSubScribeC1:1.0\"];\n60 -> 53  [label=\"UnSubScribeC2:1.0\"];\n13 -> 44  [label=\"ConnectC1WithWill:1.0\"];\n13 -> 53  [label=\"ConnectC2:1.0\"];\n13 -> 46  [label=\"DisconnectTCPC1:1.0\"];\n13 -> 13  [label=\"PublishQoS0C2:1.0\"];\n13 -> 41  [label=\"PublishQoS1C1:1.0\"];\n13 -> 36  [label=\"SubscribeC1:1.0\"];\n13 -> 17  [label=\"SubscribeC2:0.1\"];\n13 -> 35  [label=\"SubscribeC2:0.9\"];\n13 -> 32  [label=\"UnSubScribeC1:1.0\"];\n13 -> 9  [label=\"UnSubScribeC2:1.0\"];\n23 -> 58  [label=\"ConnectC1WithWill:0.9\"];\n23 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n23 -> 54  [label=\"ConnectC2:1.0\"];\n23 -> 23  [label=\"DisconnectTCPC1:1.0\"];\n23 -> 3  [label=\"PublishQoS0C2:1.0\"];\n23 -> 23  [label=\"PublishQoS1C1:1.0\"];\n23 -> 23  [label=\"SubscribeC1:1.0\"];\n23 -> 17  [label=\"SubscribeC2:0.1\"];\n23 -> 49  [label=\"SubscribeC2:0.9\"];\n23 -> 23  [label=\"UnSubScribeC1:1.0\"];\n23 -> 12  [label=\"UnSubScribeC2:1.0\"];\n30 -> 44  [label=\"ConnectC1WithWill:1.0\"];\n30 -> 51  [label=\"ConnectC2:1.0\"];\n30 -> 46  [label=\"DisconnectTCPC1:1.0\"];\n30 -> 25  [label=\"PublishQoS0C2:1.0\"];\n30 -> 30  [label=\"PublishQoS1C1:1.0\"];\n30 -> 50  [label=\"SubscribeC1:1.0\"];\n30 -> 17  [label=\"SubscribeC2:0.1\"];\n30 -> 29  [label=\"SubscribeC2:0.9\"];\n30 -> 32  [label=\"UnSubScribeC1:1.0\"];\n30 -> 21  [label=\"UnSubScribeC2:1.0\"];\n51 -> 45  [label=\"ConnectC1WithWill:1.0\"];\n51 -> 18  [label=\"ConnectC2:0.9\"];\n51 -> 17  [label=\"ConnectC2:0.1\"];\n51 -> 54  [label=\"DisconnectTCPC1:1.0\"];\n51 -> 51  [label=\"PublishQoS0C2:1.0\"];\n51 -> 8  [label=\"PublishQoS1C1:1.0\"];\n51 -> 5  [label=\"SubscribeC1:1.0\"];\n51 -> 51  [label=\"SubscribeC2:1.0\"];\n51 -> 42  [label=\"UnSubScribeC1:1.0\"];\n51 -> 51  [label=\"UnSubScribeC2:1.0\"];\n4 -> 45  [label=\"ConnectC1WithWill:1.0\"];\n4 -> 18  [label=\"ConnectC2:0.9\"];\n4 -> 17  [label=\"ConnectC2:0.1\"];\n4 -> 54  [label=\"DisconnectTCPC1:1.0\"];\n4 -> 51  [label=\"PublishQoS0C2:1.0\"];\n4 -> 8  [label=\"PublishQoS1C1:1.0\"];\n4 -> 5  [label=\"SubscribeC1:1.0\"];\n4 -> 51  [label=\"SubscribeC2:1.0\"];\n4 -> 42  [label=\"UnSubScribeC1:1.0\"];\n4 -> 51  [label=\"UnSubScribeC2:1.0\"];\n34 -> 28  [label=\"ConnectC1WithWill:1.0\"];\n34 -> 17  [label=\"ConnectC2:0.1\"];\n34 -> 18  [label=\"ConnectC2:0.9\"];\n34 -> 37  [label=\"DisconnectTCPC1:1.0\"];\n34 -> 26  [label=\"PublishQoS0C2:1.0\"];\n34 -> 34  [label=\"PublishQoS1C1:1.0\"];\n34 -> 1  [label=\"SubscribeC1:1.0\"];\n34 -> 26  [label=\"SubscribeC2:1.0\"];\n34 -> 0  [label=\"UnSubScribeC1:1.0\"];\n34 -> 26  [label=\"UnSubScribeC2:1.0\"];\n16 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n16 -> 55  [label=\"ConnectC1WithWill:0.9\"];\n16 -> 17  [label=\"ConnectC2:0.1\"];\n16 -> 15  [label=\"ConnectC2:0.9\"];\n16 -> 37  [label=\"DisconnectTCPC1:1.0\"];\n16 -> 37  [label=\"PublishQoS0C2:1.0\"];\n16 -> 37  [label=\"PublishQoS1C1:1.0\"];\n16 -> 37  [label=\"SubscribeC1:1.0\"];\n16 -> 37  [label=\"SubscribeC2:1.0\"];\n16 -> 37  [label=\"UnSubScribeC1:1.0\"];\n16 -> 37  [label=\"UnSubScribeC2:1.0\"];\n43 -> 58  [label=\"ConnectC1WithWill:0.9\"];\n43 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n43 -> 45  [label=\"ConnectC2:1.0\"];\n43 -> 23  [label=\"DisconnectTCPC1:1.0\"];\n43 -> 56  [label=\"PublishQoS0C2:1.0\"];\n43 -> 43  [label=\"PublishQoS1C1:1.0\"];\n43 -> 43  [label=\"SubscribeC1:1.0\"];\n43 -> 17  [label=\"SubscribeC2:0.1\"];\n43 -> 40  [label=\"SubscribeC2:0.9\"];\n43 -> 43  [label=\"UnSubScribeC1:1.0\"];\n43 -> 11  [label=\"UnSubScribeC2:1.0\"];\n21 -> 44  [label=\"ConnectC1WithWill:1.0\"];\n21 -> 51  [label=\"ConnectC2:1.0\"];\n21 -> 46  [label=\"DisconnectTCPC1:1.0\"];\n21 -> 25  [label=\"PublishQoS0C2:1.0\"];\n21 -> 30  [label=\"PublishQoS1C1:1.0\"];\n21 -> 50  [label=\"SubscribeC1:1.0\"];\n21 -> 17  [label=\"SubscribeC2:0.1\"];\n21 -> 29  [label=\"SubscribeC2:0.9\"];\n21 -> 32  [label=\"UnSubScribeC1:1.0\"];\n21 -> 21  [label=\"UnSubScribeC2:1.0\"];\n11 -> 39  [label=\"ConnectC1WithWill:0.9\"];\n11 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n11 -> 45  [label=\"ConnectC2:1.0\"];\n11 -> 46  [label=\"DisconnectTCPC1:1.0\"];\n11 -> 44  [label=\"PublishQoS0C2:1.0\"];\n11 -> 44  [label=\"PublishQoS1C1:1.0\"];\n11 -> 44  [label=\"SubscribeC1:1.0\"];\n11 -> 20  [label=\"SubscribeC2:0.9\"];\n11 -> 17  [label=\"SubscribeC2:0.1\"];\n11 -> 44  [label=\"UnSubScribeC1:1.0\"];\n11 -> 11  [label=\"UnSubScribeC2:1.0\"];\n54 -> 4  [label=\"ConnectC1WithWill:0.9\"];\n54 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n54 -> 17  [label=\"ConnectC2:0.1\"];\n54 -> 15  [label=\"ConnectC2:0.9\"];\n54 -> 54  [label=\"DisconnectTCPC1:1.0\"];\n54 -> 54  [label=\"PublishQoS0C2:1.0\"];\n54 -> 54  [label=\"PublishQoS1C1:1.0\"];\n54 -> 54  [label=\"SubscribeC1:1.0\"];\n54 -> 54  [label=\"SubscribeC2:1.0\"];\n54 -> 54  [label=\"UnSubScribeC1:1.0\"];\n54 -> 54  [label=\"UnSubScribeC2:1.0\"];\n45 -> 4  [label=\"ConnectC1WithWill:0.9\"];\n45 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n45 -> 17  [label=\"ConnectC2:0.1\"];\n45 -> 24  [label=\"ConnectC2:0.9\"];\n45 -> 54  [label=\"DisconnectTCPC1:1.0\"];\n45 -> 45  [label=\"PublishQoS0C2:1.0\"];\n45 -> 45  [label=\"PublishQoS1C1:1.0\"];\n45 -> 45  [label=\"SubscribeC1:1.0\"];\n45 -> 45  [label=\"SubscribeC2:1.0\"];\n45 -> 45  [label=\"UnSubScribeC1:1.0\"];\n45 -> 45  [label=\"UnSubScribeC2:1.0\"];\n48 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n48 -> 58  [label=\"ConnectC1WithWill:0.9\"];\n48 -> 45  [label=\"ConnectC2:1.0\"];\n48 -> 23  [label=\"DisconnectTCPC1:1.0\"];\n48 -> 56  [label=\"PublishQoS0C2:1.0\"];\n48 -> 43  [label=\"PublishQoS1C1:1.0\"];\n48 -> 43  [label=\"SubscribeC1:1.0\"];\n48 -> 40  [label=\"SubscribeC2:0.9\"];\n48 -> 17  [label=\"SubscribeC2:0.1\"];\n48 -> 43  [label=\"UnSubScribeC1:1.0\"];\n48 -> 11  [label=\"UnSubScribeC2:1.0\"];\n25 -> 44  [label=\"ConnectC1WithWill:1.0\"];\n25 -> 51  [label=\"ConnectC2:1.0\"];\n25 -> 46  [label=\"DisconnectTCPC1:1.0\"];\n25 -> 25  [label=\"PublishQoS0C2:1.0\"];\n25 -> 30  [label=\"PublishQoS1C1:1.0\"];\n25 -> 50  [label=\"SubscribeC1:1.0\"];\n25 -> 17  [label=\"SubscribeC2:0.1\"];\n25 -> 29  [label=\"SubscribeC2:0.9\"];\n25 -> 32  [label=\"UnSubScribeC1:1.0\"];\n25 -> 21  [label=\"UnSubScribeC2:1.0\"];\n12 -> 39  [label=\"ConnectC1WithWill:0.9\"];\n12 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n12 -> 54  [label=\"ConnectC2:1.0\"];\n12 -> 46  [label=\"DisconnectTCPC1:1.0\"];\n12 -> 46  [label=\"PublishQoS0C2:1.0\"];\n12 -> 46  [label=\"PublishQoS1C1:1.0\"];\n12 -> 46  [label=\"SubscribeC1:1.0\"];\n12 -> 33  [label=\"SubscribeC2:0.9\"];\n12 -> 17  [label=\"SubscribeC2:0.1\"];\n12 -> 46  [label=\"UnSubScribeC1:1.0\"];\n12 -> 12  [label=\"UnSubScribeC2:1.0\"];\n58 -> 48  [label=\"ConnectC1WithWill:1.0\"];\n58 -> 51  [label=\"ConnectC2:1.0\"];\n58 -> 52  [label=\"DisconnectTCPC1:1.0\"];\n58 -> 6  [label=\"PublishQoS0C2:1.0\"];\n58 -> 38  [label=\"PublishQoS1C1:1.0\"];\n58 -> 22  [label=\"SubscribeC1:1.0\"];\n58 -> 27  [label=\"SubscribeC2:0.9\"];\n58 -> 17  [label=\"SubscribeC2:0.1\"];\n58 -> 47  [label=\"UnSubScribeC1:1.0\"];\n58 -> 21  [label=\"UnSubScribeC2:1.0\"];\n31 -> 48  [label=\"ConnectC1WithWill:1.0\"];\n31 -> 53  [label=\"ConnectC2:1.0\"];\n31 -> 52  [label=\"DisconnectTCPC1:1.0\"];\n31 -> 19  [label=\"PublishQoS0C2:1.0\"];\n31 -> 61  [label=\"PublishQoS1C1:1.0\"];\n31 -> 31  [label=\"SubscribeC1:1.0\"];\n31 -> 10  [label=\"SubscribeC2:0.9\"];\n31 -> 17  [label=\"SubscribeC2:0.1\"];\n31 -> 47  [label=\"UnSubScribeC1:1.0\"];\n31 -> 9  [label=\"UnSubScribeC2:1.0\"];\n22 -> 48  [label=\"ConnectC1WithWill:1.0\"];\n22 -> 53  [label=\"ConnectC2:1.0\"];\n22 -> 52  [label=\"DisconnectTCPC1:1.0\"];\n22 -> 19  [label=\"PublishQoS0C2:1.0\"];\n22 -> 61  [label=\"PublishQoS1C1:1.0\"];\n22 -> 31  [label=\"SubscribeC1:1.0\"];\n22 -> 17  [label=\"SubscribeC2:0.1\"];\n22 -> 10  [label=\"SubscribeC2:0.9\"];\n22 -> 47  [label=\"UnSubScribeC1:1.0\"];\n22 -> 9  [label=\"UnSubScribeC2:1.0\"];\n35 -> 48  [label=\"ConnectC1WithWill:1.0\"];\n35 -> 53  [label=\"ConnectC2:1.0\"];\n35 -> 52  [label=\"DisconnectTCPC1:1.0\"];\n35 -> 19  [label=\"PublishQoS0C2:1.0\"];\n35 -> 61  [label=\"PublishQoS1C1:1.0\"];\n35 -> 31  [label=\"SubscribeC1:1.0\"];\n35 -> 10  [label=\"SubscribeC2:0.9\"];\n35 -> 17  [label=\"SubscribeC2:0.1\"];\n35 -> 47  [label=\"UnSubScribeC1:1.0\"];\n35 -> 9  [label=\"UnSubScribeC2:1.0\"];\n6 -> 48  [label=\"ConnectC1WithWill:1.0\"];\n6 -> 51  [label=\"ConnectC2:1.0\"];\n6 -> 52  [label=\"DisconnectTCPC1:1.0\"];\n6 -> 6  [label=\"PublishQoS0C2:1.0\"];\n6 -> 38  [label=\"PublishQoS1C1:1.0\"];\n6 -> 22  [label=\"SubscribeC1:1.0\"];\n6 -> 27  [label=\"SubscribeC2:0.9\"];\n6 -> 17  [label=\"SubscribeC2:0.1\"];\n6 -> 47  [label=\"UnSubScribeC1:1.0\"];\n6 -> 21  [label=\"UnSubScribeC2:1.0\"];\n56 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n56 -> 58  [label=\"ConnectC1WithWill:0.9\"];\n56 -> 45  [label=\"ConnectC2:1.0\"];\n56 -> 23  [label=\"DisconnectTCPC1:1.0\"];\n56 -> 56  [label=\"PublishQoS0C2:1.0\"];\n56 -> 43  [label=\"PublishQoS1C1:1.0\"];\n56 -> 43  [label=\"SubscribeC1:1.0\"];\n56 -> 17  [label=\"SubscribeC2:0.1\"];\n56 -> 40  [label=\"SubscribeC2:0.9\"];\n56 -> 43  [label=\"UnSubScribeC1:1.0\"];\n56 -> 11  [label=\"UnSubScribeC2:1.0\"];\n10 -> 48  [label=\"ConnectC1WithWill:1.0\"];\n10 -> 53  [label=\"ConnectC2:1.0\"];\n10 -> 52  [label=\"DisconnectTCPC1:1.0\"];\n10 -> 19  [label=\"PublishQoS0C2:1.0\"];\n10 -> 61  [label=\"PublishQoS1C1:1.0\"];\n10 -> 31  [label=\"SubscribeC1:1.0\"];\n10 -> 10  [label=\"SubscribeC2:0.9\"];\n10 -> 17  [label=\"SubscribeC2:0.1\"];\n10 -> 47  [label=\"UnSubScribeC1:1.0\"];\n10 -> 9  [label=\"UnSubScribeC2:1.0\"];\n57 -> 28  [label=\"ConnectC1WithWill:1.0\"];\n57 -> 14  [label=\"ConnectC2:0.9\"];\n57 -> 17  [label=\"ConnectC2:0.1\"];\n57 -> 37  [label=\"DisconnectTCPC1:1.0\"];\n57 -> 7  [label=\"PublishQoS0C2:1.0\"];\n57 -> 57  [label=\"PublishQoS1C1:1.0\"];\n57 -> 2  [label=\"SubscribeC1:1.0\"];\n57 -> 7  [label=\"SubscribeC2:1.0\"];\n57 -> 0  [label=\"UnSubScribeC1:1.0\"];\n57 -> 7  [label=\"UnSubScribeC2:1.0\"];\n41 -> 44  [label=\"ConnectC1WithWill:1.0\"];\n41 -> 53  [label=\"ConnectC2:1.0\"];\n41 -> 46  [label=\"DisconnectTCPC1:1.0\"];\n41 -> 13  [label=\"PublishQoS0C2:1.0\"];\n41 -> 41  [label=\"PublishQoS1C1:1.0\"];\n41 -> 36  [label=\"SubscribeC1:1.0\"];\n41 -> 17  [label=\"SubscribeC2:0.1\"];\n41 -> 35  [label=\"SubscribeC2:0.9\"];\n41 -> 32  [label=\"UnSubScribeC1:1.0\"];\n41 -> 9  [label=\"UnSubScribeC2:1.0\"];\n14 -> 44  [label=\"ConnectC1WithWill:1.0\"];\n14 -> 53  [label=\"ConnectC2:1.0\"];\n14 -> 46  [label=\"DisconnectTCPC1:1.0\"];\n14 -> 13  [label=\"PublishQoS0C2:1.0\"];\n14 -> 41  [label=\"PublishQoS1C1:1.0\"];\n14 -> 36  [label=\"SubscribeC1:1.0\"];\n14 -> 35  [label=\"SubscribeC2:0.9\"];\n14 -> 17  [label=\"SubscribeC2:0.1\"];\n14 -> 32  [label=\"UnSubScribeC1:1.0\"];\n14 -> 9  [label=\"UnSubScribeC2:1.0\"];\n61 -> 48  [label=\"ConnectC1WithWill:1.0\"];\n61 -> 53  [label=\"ConnectC2:1.0\"];\n61 -> 52  [label=\"DisconnectTCPC1:1.0\"];\n61 -> 19  [label=\"PublishQoS0C2:1.0\"];\n61 -> 61  [label=\"PublishQoS1C1:1.0\"];\n61 -> 31  [label=\"SubscribeC1:1.0\"];\n61 -> 10  [label=\"SubscribeC2:0.9\"];\n61 -> 17  [label=\"SubscribeC2:0.1\"];\n61 -> 47  [label=\"UnSubScribeC1:1.0\"];\n61 -> 9  [label=\"UnSubScribeC2:1.0\"];\n18 -> 44  [label=\"ConnectC1WithWill:1.0\"];\n18 -> 51  [label=\"ConnectC2:1.0\"];\n18 -> 46  [label=\"DisconnectTCPC1:1.0\"];\n18 -> 25  [label=\"PublishQoS0C2:1.0\"];\n18 -> 30  [label=\"PublishQoS1C1:1.0\"];\n18 -> 50  [label=\"SubscribeC1:1.0\"];\n18 -> 17  [label=\"SubscribeC2:0.1\"];\n18 -> 29  [label=\"SubscribeC2:0.9\"];\n18 -> 32  [label=\"UnSubScribeC1:1.0\"];\n18 -> 21  [label=\"UnSubScribeC2:1.0\"];\n7 -> 28  [label=\"ConnectC1WithWill:1.0\"];\n7 -> 14  [label=\"ConnectC2:0.9\"];\n7 -> 17  [label=\"ConnectC2:0.1\"];\n7 -> 37  [label=\"DisconnectTCPC1:1.0\"];\n7 -> 7  [label=\"PublishQoS0C2:1.0\"];\n7 -> 57  [label=\"PublishQoS1C1:1.0\"];\n7 -> 2  [label=\"SubscribeC1:1.0\"];\n7 -> 7  [label=\"SubscribeC2:1.0\"];\n7 -> 0  [label=\"UnSubScribeC1:1.0\"];\n7 -> 7  [label=\"UnSubScribeC2:1.0\"];\n33 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n33 -> 58  [label=\"ConnectC1WithWill:0.9\"];\n33 -> 54  [label=\"ConnectC2:1.0\"];\n33 -> 23  [label=\"DisconnectTCPC1:1.0\"];\n33 -> 3  [label=\"PublishQoS0C2:1.0\"];\n33 -> 23  [label=\"PublishQoS1C1:1.0\"];\n33 -> 23  [label=\"SubscribeC1:1.0\"];\n33 -> 17  [label=\"SubscribeC2:0.1\"];\n33 -> 49  [label=\"SubscribeC2:0.9\"];\n33 -> 23  [label=\"UnSubScribeC1:1.0\"];\n33 -> 12  [label=\"UnSubScribeC2:1.0\"];\n53 -> 45  [label=\"ConnectC1WithWill:1.0\"];\n53 -> 14  [label=\"ConnectC2:0.9\"];\n53 -> 17  [label=\"ConnectC2:0.1\"];\n53 -> 54  [label=\"DisconnectTCPC1:1.0\"];\n53 -> 53  [label=\"PublishQoS0C2:1.0\"];\n53 -> 60  [label=\"PublishQoS1C1:1.0\"];\n53 -> 59  [label=\"SubscribeC1:1.0\"];\n53 -> 53  [label=\"SubscribeC2:1.0\"];\n53 -> 42  [label=\"UnSubScribeC1:1.0\"];\n53 -> 53  [label=\"UnSubScribeC2:1.0\"];\n27 -> 48  [label=\"ConnectC1WithWill:1.0\"];\n27 -> 51  [label=\"ConnectC2:1.0\"];\n27 -> 52  [label=\"DisconnectTCPC1:1.0\"];\n27 -> 6  [label=\"PublishQoS0C2:1.0\"];\n27 -> 38  [label=\"PublishQoS1C1:1.0\"];\n27 -> 22  [label=\"SubscribeC1:1.0\"];\n27 -> 17  [label=\"SubscribeC2:0.1\"];\n27 -> 27  [label=\"SubscribeC2:0.9\"];\n27 -> 47  [label=\"UnSubScribeC1:1.0\"];\n27 -> 21  [label=\"UnSubScribeC2:1.0\"];\n8 -> 45  [label=\"ConnectC1WithWill:1.0\"];\n8 -> 17  [label=\"ConnectC2:0.1\"];\n8 -> 18  [label=\"ConnectC2:0.9\"];\n8 -> 54  [label=\"DisconnectTCPC1:1.0\"];\n8 -> 51  [label=\"PublishQoS0C2:1.0\"];\n8 -> 8  [label=\"PublishQoS1C1:1.0\"];\n8 -> 5  [label=\"SubscribeC1:1.0\"];\n8 -> 51  [label=\"SubscribeC2:1.0\"];\n8 -> 42  [label=\"UnSubScribeC1:1.0\"];\n8 -> 51  [label=\"UnSubScribeC2:1.0\"];\n52 -> 58  [label=\"ConnectC1WithWill:0.9\"];\n52 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n52 -> 54  [label=\"ConnectC2:1.0\"];\n52 -> 23  [label=\"DisconnectTCPC1:1.0\"];\n52 -> 3  [label=\"PublishQoS0C2:1.0\"];\n52 -> 23  [label=\"PublishQoS1C1:1.0\"];\n52 -> 23  [label=\"SubscribeC1:1.0\"];\n52 -> 49  [label=\"SubscribeC2:0.9\"];\n52 -> 17  [label=\"SubscribeC2:0.1\"];\n52 -> 23  [label=\"UnSubScribeC1:1.0\"];\n52 -> 12  [label=\"UnSubScribeC2:1.0\"];\n59 -> 45  [label=\"ConnectC1WithWill:1.0\"];\n59 -> 17  [label=\"ConnectC2:0.1\"];\n59 -> 14  [label=\"ConnectC2:0.9\"];\n59 -> 54  [label=\"DisconnectTCPC1:1.0\"];\n59 -> 53  [label=\"PublishQoS0C2:1.0\"];\n59 -> 60  [label=\"PublishQoS1C1:1.0\"];\n59 -> 59  [label=\"SubscribeC1:1.0\"];\n59 -> 53  [label=\"SubscribeC2:1.0\"];\n59 -> 42  [label=\"UnSubScribeC1:1.0\"];\n59 -> 53  [label=\"UnSubScribeC2:1.0\"];\n36 -> 44  [label=\"ConnectC1WithWill:1.0\"];\n36 -> 53  [label=\"ConnectC2:1.0\"];\n36 -> 46  [label=\"DisconnectTCPC1:1.0\"];\n36 -> 13  [label=\"PublishQoS0C2:1.0\"];\n36 -> 41  [label=\"PublishQoS1C1:1.0\"];\n36 -> 36  [label=\"SubscribeC1:1.0\"];\n36 -> 17  [label=\"SubscribeC2:0.1\"];\n36 -> 35  [label=\"SubscribeC2:0.9\"];\n36 -> 32  [label=\"UnSubScribeC1:1.0\"];\n36 -> 9  [label=\"UnSubScribeC2:1.0\"];\n15 -> 39  [label=\"ConnectC1WithWill:0.9\"];\n15 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n15 -> 54  [label=\"ConnectC2:1.0\"];\n15 -> 46  [label=\"DisconnectTCPC1:1.0\"];\n15 -> 46  [label=\"PublishQoS0C2:1.0\"];\n15 -> 46  [label=\"PublishQoS1C1:1.0\"];\n15 -> 46  [label=\"SubscribeC1:1.0\"];\n15 -> 33  [label=\"SubscribeC2:0.9\"];\n15 -> 17  [label=\"SubscribeC2:0.1\"];\n15 -> 46  [label=\"UnSubScribeC1:1.0\"];\n15 -> 12  [label=\"UnSubScribeC2:1.0\"];\n50 -> 44  [label=\"ConnectC1WithWill:1.0\"];\n50 -> 53  [label=\"ConnectC2:1.0\"];\n50 -> 46  [label=\"DisconnectTCPC1:1.0\"];\n50 -> 13  [label=\"PublishQoS0C2:1.0\"];\n50 -> 41  [label=\"PublishQoS1C1:1.0\"];\n50 -> 36  [label=\"SubscribeC1:1.0\"];\n50 -> 35  [label=\"SubscribeC2:0.9\"];\n50 -> 17  [label=\"SubscribeC2:0.1\"];\n50 -> 32  [label=\"UnSubScribeC1:1.0\"];\n50 -> 9  [label=\"UnSubScribeC2:1.0\"];\n24 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n24 -> 39  [label=\"ConnectC1WithWill:0.9\"];\n24 -> 45  [label=\"ConnectC2:1.0\"];\n24 -> 46  [label=\"DisconnectTCPC1:1.0\"];\n24 -> 44  [label=\"PublishQoS0C2:1.0\"];\n24 -> 44  [label=\"PublishQoS1C1:1.0\"];\n24 -> 44  [label=\"SubscribeC1:1.0\"];\n24 -> 17  [label=\"SubscribeC2:0.1\"];\n24 -> 20  [label=\"SubscribeC2:0.9\"];\n24 -> 44  [label=\"UnSubScribeC1:1.0\"];\n24 -> 11  [label=\"UnSubScribeC2:1.0\"];\n3 -> 58  [label=\"ConnectC1WithWill:0.9\"];\n3 -> 17  [label=\"ConnectC1WithWill:0.1\"];\n3 -> 54  [label=\"ConnectC2:1.0\"];\n3 -> 23  [label=\"DisconnectTCPC1:1.0\"];\n3 -> 3  [label=\"PublishQoS0C2:1.0\"];\n3 -> 23  [label=\"PublishQoS1C1:1.0\"];\n3 -> 23  [label=\"SubscribeC1:1.0\"];\n3 -> 49  [label=\"SubscribeC2:0.9\"];\n3 -> 17  [label=\"SubscribeC2:0.1\"];\n3 -> 23  [label=\"UnSubScribeC1:1.0\"];\n3 -> 12  [label=\"UnSubScribeC2:1.0\"];\n__start0 [label=\"\", shape=none];\n__start0 -> 16  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/MDPs/second_grid.dot",
    "content": "digraph second_grid {\n21 [label=\"wall\"];\n52 [label=\"sand\"];\n7 [label=\"sand\"];\n13 [label=\"wall\"];\n44 [label=\"grass\"];\n16 [label=\"mud\"];\n40 [label=\"grass\"];\n49 [label=\"concrete\"];\n36 [label=\"grass\"];\n37 [label=\"wall\"];\n8 [label=\"wall\"];\n32 [label=\"grass\"];\n41 [label=\"wall\"];\n62 [label=\"wall\"];\n12 [label=\"concrete\"];\n29 [label=\"mud\"];\n33 [label=\"wall\"];\n0 [label=\"concrete\"];\n53 [label=\"wall\"];\n4 [label=\"concrete\"];\n57 [label=\"wall\"];\n66 [label=\"concrete\"];\n54 [label=\"mud\"];\n14 [label=\"grass\"];\n25 [label=\"concrete\"];\n45 [label=\"wall\"];\n10 [label=\"grass\"];\n3 [label=\"wall\"];\n63 [label=\"sand\"];\n17 [label=\"concrete\"];\n9 [label=\"mud\"];\n69 [label=\"wall\"];\n42 [label=\"mud\"];\n64 [label=\"grass\"];\n28 [label=\"wall\"];\n38 [label=\"concrete\"];\n60 [label=\"grass\"];\n61 [label=\"wall\"];\n56 [label=\"grass\"];\n65 [label=\"wall\"];\n19 [label=\"wall\"];\n59 [label=\"mud\"];\n30 [label=\"concrete\"];\n23 [label=\"wall\"];\n50 [label=\"grass\"];\n34 [label=\"concrete\"];\n22 [label=\"mud\"];\n11 [label=\"wall\"];\n46 [label=\"grass\"];\n55 [label=\"concrete\"];\n15 [label=\"wall\"];\n26 [label=\"concrete\"];\n6 [label=\"wall\"];\n39 [label=\"wall\"];\n27 [label=\"wall\"];\n31 [label=\"wall\"];\n43 [label=\"concrete\"];\n58 [label=\"sand\"];\n70 [label=\"wall__goal\"];\n51 [label=\"wall\"];\n68 [label=\"concrete\"];\n20 [label=\"sand\"];\n2 [label=\"concrete\"];\n35 [label=\"concrete\"];\n47 [label=\"wall\"];\n48 [label=\"mud\"];\n18 [label=\"wall\"];\n67 [label=\"wall\"];\n5 [label=\"wall\"];\n71 [label=\"mud__goal\"];\n24 [label=\"sand\"];\n1 [label=\"wall\"];\n21 -> 30  [label=\"East:1.0\"];\n21 -> 21  [label=\"North:1.0\"];\n21 -> 21  [label=\"South:1.0\"];\n21 -> 12  [label=\"West:1.0\"];\n52 -> 58  [label=\"East:0.2\"];\n52 -> 59  [label=\"East:0.6\"];\n52 -> 60  [label=\"East:0.2\"];\n52 -> 43  [label=\"North:0.1\"];\n52 -> 58  [label=\"North:0.1\"];\n52 -> 50  [label=\"North:0.8\"];\n52 -> 51  [label=\"South:1.0\"];\n52 -> 44  [label=\"West:0.8\"];\n52 -> 43  [label=\"West:0.2\"];\n7 -> 17  [label=\"East:1.0\"];\n7 -> 4  [label=\"North:1.0\"];\n7 -> 9  [label=\"South:1.0\"];\n7 -> 6  [label=\"West:1.0\"];\n13 -> 22  [label=\"East:1.0\"];\n13 -> 13  [label=\"North:1.0\"];\n13 -> 2  [label=\"South:0.2\"];\n13 -> 14  [label=\"South:0.8\"];\n13 -> 0  [label=\"West:1.0\"];\n44 -> 52  [label=\"East:0.75\"];\n44 -> 50  [label=\"East:0.25\"];\n44 -> 43  [label=\"North:1.0\"];\n44 -> 45  [label=\"South:1.0\"];\n44 -> 35  [label=\"West:1.0\"];\n16 -> 24  [label=\"East:0.75\"];\n16 -> 25  [label=\"East:0.25\"];\n16 -> 2  [label=\"North:0.2\"];\n16 -> 14  [label=\"North:0.8\"];\n16 -> 17  [label=\"South:1.0\"];\n16 -> 4  [label=\"West:1.0\"];\n40 -> 46  [label=\"East:0.2\"];\n40 -> 48  [label=\"East:0.6\"];\n40 -> 49  [label=\"East:0.2\"];\n40 -> 38  [label=\"North:1.0\"];\n40 -> 42  [label=\"South:0.6\"];\n40 -> 49  [label=\"South:0.2\"];\n40 -> 32  [label=\"South:0.2\"];\n40 -> 41  [label=\"West:1.0\"];\n49 -> 56  [label=\"East:0.8\"];\n49 -> 55  [label=\"East:0.1\"];\n49 -> 58  [label=\"East:0.1\"];\n49 -> 48  [label=\"North:0.6\"];\n49 -> 40  [label=\"North:0.2\"];\n49 -> 55  [label=\"North:0.2\"];\n49 -> 58  [label=\"South:0.1\"];\n49 -> 50  [label=\"South:0.8\"];\n49 -> 43  [label=\"South:0.1\"];\n49 -> 43  [label=\"West:0.2\"];\n49 -> 42  [label=\"West:0.6\"];\n49 -> 40  [label=\"West:0.2\"];\n36 -> 37  [label=\"East:1.0\"];\n36 -> 35  [label=\"North:1.0\"];\n36 -> 37  [label=\"South:1.0\"];\n36 -> 26  [label=\"West:0.4\"];\n36 -> 29  [label=\"West:0.6\"];\n37 -> 37  [label=\"East:1.0\"];\n37 -> 35  [label=\"North:1.0\"];\n37 -> 37  [label=\"South:1.0\"];\n37 -> 26  [label=\"West:0.4\"];\n37 -> 29  [label=\"West:0.6\"];\n8 -> 8  [label=\"East:1.0\"];\n8 -> 17  [label=\"North:0.25\"];\n8 -> 7  [label=\"North:0.75\"];\n8 -> 10  [label=\"South:0.8\"];\n8 -> 20  [label=\"South:0.2\"];\n8 -> 8  [label=\"West:1.0\"];\n32 -> 40  [label=\"East:0.2\"];\n32 -> 42  [label=\"East:0.6\"];\n32 -> 43  [label=\"East:0.2\"];\n32 -> 33  [label=\"North:1.0\"];\n32 -> 34  [label=\"South:1.0\"];\n32 -> 24  [label=\"West:0.75\"];\n32 -> 25  [label=\"West:0.25\"];\n41 -> 46  [label=\"East:0.2\"];\n41 -> 49  [label=\"East:0.2\"];\n41 -> 48  [label=\"East:0.6\"];\n41 -> 38  [label=\"North:1.0\"];\n41 -> 49  [label=\"South:0.2\"];\n41 -> 42  [label=\"South:0.6\"];\n41 -> 32  [label=\"South:0.2\"];\n41 -> 41  [label=\"West:1.0\"];\n62 -> 62  [label=\"East:1.0\"];\n62 -> 62  [label=\"North:1.0\"];\n62 -> 64  [label=\"South:0.8\"];\n62 -> 55  [label=\"South:0.2\"];\n62 -> 55  [label=\"West:0.4\"];\n62 -> 54  [label=\"West:0.6\"];\n12 -> 22  [label=\"East:1.0\"];\n12 -> 13  [label=\"North:1.0\"];\n12 -> 2  [label=\"South:0.2\"];\n12 -> 14  [label=\"South:0.8\"];\n12 -> 0  [label=\"West:1.0\"];\n29 -> 35  [label=\"East:0.2\"];\n29 -> 36  [label=\"East:0.8\"];\n29 -> 26  [label=\"North:1.0\"];\n29 -> 28  [label=\"South:1.0\"];\n29 -> 20  [label=\"West:1.0\"];\n33 -> 40  [label=\"East:0.2\"];\n33 -> 42  [label=\"East:0.6\"];\n33 -> 43  [label=\"East:0.2\"];\n33 -> 33  [label=\"North:1.0\"];\n33 -> 34  [label=\"South:1.0\"];\n33 -> 24  [label=\"West:0.75\"];\n33 -> 25  [label=\"West:0.25\"];\n0 -> 12  [label=\"East:1.0\"];\n0 -> 1  [label=\"North:1.0\"];\n0 -> 2  [label=\"South:1.0\"];\n0 -> 1  [label=\"West:1.0\"];\n53 -> 64  [label=\"East:0.25\"];\n53 -> 63  [label=\"East:0.75\"];\n53 -> 53  [label=\"North:1.0\"];\n53 -> 55  [label=\"South:1.0\"];\n53 -> 46  [label=\"West:0.8\"];\n53 -> 48  [label=\"West:0.2\"];\n4 -> 14  [label=\"East:0.2\"];\n4 -> 16  [label=\"East:0.6\"];\n4 -> 17  [label=\"East:0.2\"];\n4 -> 2  [label=\"North:1.0\"];\n4 -> 7  [label=\"South:0.75\"];\n4 -> 17  [label=\"South:0.25\"];\n4 -> 5  [label=\"West:1.0\"];\n57 -> 57  [label=\"East:1.0\"];\n57 -> 55  [label=\"North:1.0\"];\n57 -> 66  [label=\"South:0.125\"];\n57 -> 58  [label=\"South:0.75\"];\n57 -> 50  [label=\"South:0.125\"];\n57 -> 49  [label=\"West:1.0\"];\n66 -> 67  [label=\"East:1.0\"];\n66 -> 67  [label=\"North:1.0\"];\n66 -> 68  [label=\"South:1.0\"];\n66 -> 59  [label=\"West:0.125\"];\n66 -> 56  [label=\"West:0.125\"];\n66 -> 58  [label=\"West:0.75\"];\n54 -> 63  [label=\"East:0.75\"];\n54 -> 64  [label=\"East:0.25\"];\n54 -> 53  [label=\"North:1.0\"];\n54 -> 55  [label=\"South:1.0\"];\n54 -> 46  [label=\"West:0.8\"];\n54 -> 48  [label=\"West:0.2\"];\n14 -> 15  [label=\"East:1.0\"];\n14 -> 12  [label=\"North:1.0\"];\n14 -> 24  [label=\"South:0.2\"];\n14 -> 4  [label=\"South:0.2\"];\n14 -> 16  [label=\"South:0.6\"];\n14 -> 2  [label=\"West:1.0\"];\n25 -> 34  [label=\"East:1.0\"];\n25 -> 16  [label=\"North:0.125\"];\n25 -> 24  [label=\"North:0.75\"];\n25 -> 32  [label=\"North:0.125\"];\n25 -> 26  [label=\"South:1.0\"];\n25 -> 17  [label=\"West:1.0\"];\n45 -> 50  [label=\"East:0.25\"];\n45 -> 52  [label=\"East:0.75\"];\n45 -> 43  [label=\"North:1.0\"];\n45 -> 45  [label=\"South:1.0\"];\n45 -> 35  [label=\"West:1.0\"];\n10 -> 20  [label=\"East:1.0\"];\n10 -> 9  [label=\"North:1.0\"];\n10 -> 11  [label=\"South:1.0\"];\n10 -> 11  [label=\"West:1.0\"];\n3 -> 12  [label=\"East:0.1\"];\n3 -> 14  [label=\"East:0.8\"];\n3 -> 16  [label=\"East:0.1\"];\n3 -> 0  [label=\"North:1.0\"];\n3 -> 4  [label=\"South:1.0\"];\n3 -> 3  [label=\"West:1.0\"];\n63 -> 62  [label=\"East:1.0\"];\n63 -> 62  [label=\"North:1.0\"];\n63 -> 55  [label=\"South:0.2\"];\n63 -> 64  [label=\"South:0.8\"];\n63 -> 55  [label=\"West:0.4\"];\n63 -> 54  [label=\"West:0.6\"];\n17 -> 25  [label=\"East:1.0\"];\n17 -> 4  [label=\"North:0.2\"];\n17 -> 16  [label=\"North:0.6\"];\n17 -> 24  [label=\"North:0.2\"];\n17 -> 18  [label=\"South:1.0\"];\n17 -> 4  [label=\"West:0.125\"];\n17 -> 7  [label=\"West:0.75\"];\n17 -> 9  [label=\"West:0.125\"];\n9 -> 8  [label=\"East:1.0\"];\n9 -> 7  [label=\"North:0.75\"];\n9 -> 17  [label=\"North:0.25\"];\n9 -> 20  [label=\"South:0.2\"];\n9 -> 10  [label=\"South:0.8\"];\n9 -> 8  [label=\"West:1.0\"];\n69 -> 69  [label=\"East:1.0\"];\n69 -> 66  [label=\"North:1.0\"];\n69 -> 60  [label=\"South:0.4\"];\n69 -> 71  [label=\"South:0.6\"];\n69 -> 58  [label=\"West:0.2\"];\n69 -> 59  [label=\"West:0.6\"];\n69 -> 60  [label=\"West:0.2\"];\n42 -> 49  [label=\"East:1.0\"];\n42 -> 48  [label=\"North:0.2\"];\n42 -> 40  [label=\"North:0.8\"];\n42 -> 43  [label=\"South:1.0\"];\n42 -> 32  [label=\"West:0.8\"];\n42 -> 34  [label=\"West:0.2\"];\n64 -> 65  [label=\"East:1.0\"];\n64 -> 63  [label=\"North:0.75\"];\n64 -> 54  [label=\"North:0.25\"];\n64 -> 65  [label=\"South:1.0\"];\n64 -> 55  [label=\"West:1.0\"];\n28 -> 36  [label=\"East:0.8\"];\n28 -> 35  [label=\"East:0.2\"];\n28 -> 26  [label=\"North:1.0\"];\n28 -> 28  [label=\"South:1.0\"];\n28 -> 20  [label=\"West:1.0\"];\n38 -> 48  [label=\"East:0.2\"];\n38 -> 46  [label=\"East:0.8\"];\n38 -> 39  [label=\"North:1.0\"];\n38 -> 48  [label=\"South:0.2\"];\n38 -> 40  [label=\"South:0.8\"];\n38 -> 30  [label=\"West:1.0\"];\n60 -> 68  [label=\"East:0.4\"];\n60 -> 71  [label=\"East:0.6\"];\n60 -> 59  [label=\"North:0.6\"];\n60 -> 52  [label=\"North:0.2\"];\n60 -> 68  [label=\"North:0.2\"];\n60 -> 61  [label=\"South:1.0\"];\n60 -> 61  [label=\"West:1.0\"];\n61 -> 71  [label=\"East:0.6\"];\n61 -> 68  [label=\"East:0.4\"];\n61 -> 52  [label=\"North:0.2\"];\n61 -> 59  [label=\"North:0.6\"];\n61 -> 68  [label=\"North:0.2\"];\n61 -> 61  [label=\"South:1.0\"];\n61 -> 61  [label=\"West:1.0\"];\n56 -> 57  [label=\"East:1.0\"];\n56 -> 55  [label=\"North:1.0\"];\n56 -> 50  [label=\"South:0.125\"];\n56 -> 58  [label=\"South:0.75\"];\n56 -> 66  [label=\"South:0.125\"];\n56 -> 49  [label=\"West:1.0\"];\n65 -> 65  [label=\"East:1.0\"];\n65 -> 54  [label=\"North:0.25\"];\n65 -> 63  [label=\"North:0.75\"];\n65 -> 65  [label=\"South:1.0\"];\n65 -> 55  [label=\"West:1.0\"];\n19 -> 26  [label=\"East:0.4\"];\n19 -> 29  [label=\"East:0.6\"];\n19 -> 19  [label=\"North:1.0\"];\n19 -> 19  [label=\"South:1.0\"];\n19 -> 9  [label=\"West:0.2\"];\n19 -> 10  [label=\"West:0.8\"];\n59 -> 68  [label=\"East:1.0\"];\n59 -> 58  [label=\"North:0.75\"];\n59 -> 50  [label=\"North:0.125\"];\n59 -> 66  [label=\"North:0.125\"];\n59 -> 71  [label=\"South:0.2\"];\n59 -> 60  [label=\"South:0.8\"];\n59 -> 50  [label=\"West:0.25\"];\n59 -> 52  [label=\"West:0.75\"];\n30 -> 38  [label=\"East:1.0\"];\n30 -> 31  [label=\"North:1.0\"];\n30 -> 31  [label=\"South:1.0\"];\n30 -> 22  [label=\"West:1.0\"];\n23 -> 32  [label=\"East:0.8\"];\n23 -> 34  [label=\"East:0.2\"];\n23 -> 23  [label=\"North:1.0\"];\n23 -> 25  [label=\"South:1.0\"];\n23 -> 17  [label=\"West:0.2\"];\n23 -> 14  [label=\"West:0.2\"];\n23 -> 16  [label=\"West:0.6\"];\n50 -> 58  [label=\"East:0.75\"];\n50 -> 56  [label=\"East:0.125\"];\n50 -> 59  [label=\"East:0.125\"];\n50 -> 49  [label=\"North:1.0\"];\n50 -> 44  [label=\"South:0.125\"];\n50 -> 52  [label=\"South:0.75\"];\n50 -> 59  [label=\"South:0.125\"];\n50 -> 43  [label=\"West:1.0\"];\n34 -> 43  [label=\"East:1.0\"];\n34 -> 24  [label=\"North:0.1\"];\n34 -> 42  [label=\"North:0.1\"];\n34 -> 32  [label=\"North:0.8\"];\n34 -> 35  [label=\"South:1.0\"];\n34 -> 25  [label=\"West:1.0\"];\n22 -> 30  [label=\"East:1.0\"];\n22 -> 21  [label=\"North:1.0\"];\n22 -> 21  [label=\"South:1.0\"];\n22 -> 12  [label=\"West:1.0\"];\n11 -> 20  [label=\"East:1.0\"];\n11 -> 9  [label=\"North:1.0\"];\n11 -> 11  [label=\"South:1.0\"];\n11 -> 11  [label=\"West:1.0\"];\n46 -> 54  [label=\"East:0.6\"];\n46 -> 55  [label=\"East:0.4\"];\n46 -> 47  [label=\"North:1.0\"];\n46 -> 40  [label=\"South:0.2\"];\n46 -> 48  [label=\"South:0.6\"];\n46 -> 55  [label=\"South:0.2\"];\n46 -> 38  [label=\"West:1.0\"];\n55 -> 64  [label=\"East:0.8\"];\n55 -> 63  [label=\"East:0.2\"];\n55 -> 54  [label=\"North:0.6\"];\n55 -> 46  [label=\"North:0.2\"];\n55 -> 63  [label=\"North:0.2\"];\n55 -> 49  [label=\"South:0.2\"];\n55 -> 56  [label=\"South:0.8\"];\n55 -> 49  [label=\"West:0.2\"];\n55 -> 48  [label=\"West:0.6\"];\n55 -> 46  [label=\"West:0.2\"];\n15 -> 15  [label=\"East:1.0\"];\n15 -> 12  [label=\"North:1.0\"];\n15 -> 4  [label=\"South:0.2\"];\n15 -> 16  [label=\"South:0.6\"];\n15 -> 24  [label=\"South:0.2\"];\n15 -> 2  [label=\"West:1.0\"];\n26 -> 35  [label=\"East:1.0\"];\n26 -> 25  [label=\"North:1.0\"];\n26 -> 20  [label=\"South:0.2\"];\n26 -> 29  [label=\"South:0.6\"];\n26 -> 36  [label=\"South:0.2\"];\n26 -> 27  [label=\"West:1.0\"];\n6 -> 17  [label=\"East:1.0\"];\n6 -> 4  [label=\"North:1.0\"];\n6 -> 9  [label=\"South:1.0\"];\n6 -> 6  [label=\"West:1.0\"];\n39 -> 46  [label=\"East:0.8\"];\n39 -> 48  [label=\"East:0.2\"];\n39 -> 39  [label=\"North:1.0\"];\n39 -> 40  [label=\"South:0.8\"];\n39 -> 48  [label=\"South:0.2\"];\n39 -> 30  [label=\"West:1.0\"];\n27 -> 35  [label=\"East:1.0\"];\n27 -> 25  [label=\"North:1.0\"];\n27 -> 36  [label=\"South:0.2\"];\n27 -> 20  [label=\"South:0.2\"];\n27 -> 29  [label=\"South:0.6\"];\n27 -> 27  [label=\"West:1.0\"];\n31 -> 38  [label=\"East:1.0\"];\n31 -> 31  [label=\"North:1.0\"];\n31 -> 31  [label=\"South:1.0\"];\n31 -> 22  [label=\"West:1.0\"];\n43 -> 50  [label=\"East:0.8\"];\n43 -> 49  [label=\"East:0.1\"];\n43 -> 52  [label=\"East:0.1\"];\n43 -> 32  [label=\"North:0.2\"];\n43 -> 42  [label=\"North:0.6\"];\n43 -> 49  [label=\"North:0.2\"];\n43 -> 52  [label=\"South:0.1\"];\n43 -> 35  [label=\"South:0.1\"];\n43 -> 44  [label=\"South:0.8\"];\n43 -> 34  [label=\"West:1.0\"];\n58 -> 66  [label=\"East:1.0\"];\n58 -> 49  [label=\"North:0.2\"];\n58 -> 56  [label=\"North:0.8\"];\n58 -> 68  [label=\"South:0.2\"];\n58 -> 52  [label=\"South:0.2\"];\n58 -> 59  [label=\"South:0.6\"];\n58 -> 50  [label=\"West:0.8\"];\n58 -> 49  [label=\"West:0.1\"];\n58 -> 52  [label=\"West:0.1\"];\n70 -> 70  [label=\"East:1.0\"];\n70 -> 68  [label=\"North:1.0\"];\n70 -> 70  [label=\"South:1.0\"];\n70 -> 59  [label=\"West:0.2\"];\n70 -> 60  [label=\"West:0.8\"];\n51 -> 58  [label=\"East:0.2\"];\n51 -> 59  [label=\"East:0.6\"];\n51 -> 60  [label=\"East:0.2\"];\n51 -> 43  [label=\"North:0.1\"];\n51 -> 58  [label=\"North:0.1\"];\n51 -> 50  [label=\"North:0.8\"];\n51 -> 51  [label=\"South:1.0\"];\n51 -> 44  [label=\"West:0.8\"];\n51 -> 43  [label=\"West:0.2\"];\n68 -> 69  [label=\"East:1.0\"];\n68 -> 66  [label=\"North:1.0\"];\n68 -> 60  [label=\"South:0.4\"];\n68 -> 71  [label=\"South:0.6\"];\n68 -> 58  [label=\"West:0.2\"];\n68 -> 59  [label=\"West:0.6\"];\n68 -> 60  [label=\"West:0.2\"];\n20 -> 26  [label=\"East:0.4\"];\n20 -> 29  [label=\"East:0.6\"];\n20 -> 19  [label=\"North:1.0\"];\n20 -> 19  [label=\"South:1.0\"];\n20 -> 9  [label=\"West:0.2\"];\n20 -> 10  [label=\"West:0.8\"];\n2 -> 16  [label=\"East:0.1\"];\n2 -> 12  [label=\"East:0.1\"];\n2 -> 14  [label=\"East:0.8\"];\n2 -> 0  [label=\"North:1.0\"];\n2 -> 4  [label=\"South:1.0\"];\n2 -> 3  [label=\"West:1.0\"];\n35 -> 43  [label=\"East:0.2\"];\n35 -> 44  [label=\"East:0.8\"];\n35 -> 34  [label=\"North:1.0\"];\n35 -> 29  [label=\"South:0.2\"];\n35 -> 36  [label=\"South:0.8\"];\n35 -> 26  [label=\"West:1.0\"];\n47 -> 55  [label=\"East:0.4\"];\n47 -> 54  [label=\"East:0.6\"];\n47 -> 47  [label=\"North:1.0\"];\n47 -> 55  [label=\"South:0.2\"];\n47 -> 40  [label=\"South:0.2\"];\n47 -> 48  [label=\"South:0.6\"];\n47 -> 38  [label=\"West:1.0\"];\n48 -> 55  [label=\"East:1.0\"];\n48 -> 54  [label=\"North:0.1\"];\n48 -> 38  [label=\"North:0.1\"];\n48 -> 46  [label=\"North:0.8\"];\n48 -> 49  [label=\"South:1.0\"];\n48 -> 38  [label=\"West:0.1\"];\n48 -> 40  [label=\"West:0.8\"];\n48 -> 42  [label=\"West:0.1\"];\n18 -> 25  [label=\"East:1.0\"];\n18 -> 16  [label=\"North:0.6\"];\n18 -> 4  [label=\"North:0.2\"];\n18 -> 24  [label=\"North:0.2\"];\n18 -> 18  [label=\"South:1.0\"];\n18 -> 9  [label=\"West:0.125\"];\n18 -> 4  [label=\"West:0.125\"];\n18 -> 7  [label=\"West:0.75\"];\n67 -> 67  [label=\"East:1.0\"];\n67 -> 67  [label=\"North:1.0\"];\n67 -> 68  [label=\"South:1.0\"];\n67 -> 58  [label=\"West:0.75\"];\n67 -> 56  [label=\"West:0.125\"];\n67 -> 59  [label=\"West:0.125\"];\n5 -> 17  [label=\"East:0.2\"];\n5 -> 14  [label=\"East:0.2\"];\n5 -> 16  [label=\"East:0.6\"];\n5 -> 2  [label=\"North:1.0\"];\n5 -> 7  [label=\"South:0.75\"];\n5 -> 17  [label=\"South:0.25\"];\n5 -> 5  [label=\"West:1.0\"];\n71 -> 70  [label=\"East:1.0\"];\n71 -> 68  [label=\"North:1.0\"];\n71 -> 70  [label=\"South:1.0\"];\n71 -> 60  [label=\"West:0.8\"];\n71 -> 59  [label=\"West:0.2\"];\n24 -> 34  [label=\"East:0.2\"];\n24 -> 32  [label=\"East:0.8\"];\n24 -> 23  [label=\"North:1.0\"];\n24 -> 25  [label=\"South:1.0\"];\n24 -> 16  [label=\"West:0.6\"];\n24 -> 14  [label=\"West:0.2\"];\n24 -> 17  [label=\"West:0.2\"];\n1 -> 12  [label=\"East:1.0\"];\n1 -> 1  [label=\"North:1.0\"];\n1 -> 2  [label=\"South:1.0\"];\n1 -> 1  [label=\"West:1.0\"];\n__start0 [label=\"\", shape=none];\n__start0 -> 0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/MDPs/shared_coin.dot",
    "content": "digraph shared_coin {\n134 [label=\"agree__six__c1_heads__c2_heads\"];\n259 [label=\"ten__c1_tails__c2_heads\"];\n222 [label=\"agree__nine__c1_tails__c2_tails\"];\n189 [label=\"eight__c1_tails__c2_heads\"];\n236 [label=\"nine__c1_tails__c2_heads\"];\n81 [label=\"agree__four__c1_tails__c2_tails\"];\n97 [label=\"agree__five__c1_tails__c2_tails\"];\n111 [label=\"five__c1_tails__c2_heads\"];\n153 [label=\"agree__seven__c1_tails__c2_tails\"];\n262 [label=\"ten__c1_heads__c2_tails\"];\n163 [label=\"seven__c1_tails__c2_heads\"];\n254 [label=\"agree__ten__c1_tails__c2_tails\"];\n46 [label=\"agree__three__c1_tails__c2_tails\"];\n79 [label=\"four__c1_tails__c2_heads\"];\n11 [label=\"agree__two__c1_tails__c2_tails\"];\n64 [label=\"four__c1_tails__c2_heads\"];\n66 [label=\"agree__four__c1_tails__c2_tails\"];\n147 [label=\"agree__six__c1_tails__c2_tails\"];\n237 [label=\"agree__nine__c1_tails__c2_tails\"];\n98 [label=\"agree__five__c1_tails__c2_tails\"];\n100 [label=\"five__c1_heads__c2_tails\"];\n167 [label=\"seven__c1_heads__c2_tails\"];\n30 [label=\"agree__three__c1_tails__c2_tails\"];\n130 [label=\"agree__six__c1_tails__c2_tails\"];\n152 [label=\"agree__seven__c1_tails__c2_tails\"];\n211 [label=\"agree__eight__c1_tails__c2_tails\"];\n255 [label=\"agree__ten__c1_tails__c2_tails\"];\n263 [label=\"ten__c1_heads__c2_tails\"];\n115 [label=\"agree__five__c1_tails__c2_tails\"];\n116 [label=\"five__c1_heads__c2_tails\"];\n271 [label=\"finished__agree__eleven__c1_heads__c2_heads\"];\n183 [label=\"seven__c1_heads__c2_tails\"];\n238 [label=\"agree__nine__c1_tails__c2_tails\"];\n93 [label=\"five__c1_tails__c2_heads\"];\n65 [label=\"agree__four__c1_tails__c2_tails\"];\n207 [label=\"eight__c1_tails__c2_heads\"];\n171 [label=\"agree__seven__c1_tails__c2_tails\"];\n194 [label=\"agree__eight__c1_tails__c2_tails\"];\n266 [label=\"finished__ten__c1_heads__c2_tails\"];\n14 [label=\"agree__two__c1_tails__c2_tails\"];\n61 [label=\"four__c1_tails__c2_heads\"];\n168 [label=\"seven__c1_heads__c2_tails\"];\n31 [label=\"agree__three__c1_tails__c2_tails\"];\n83 [label=\"agree__four__c1_tails__c2_tails\"];\n155 [label=\"agree__seven__c1_tails__c2_tails\"];\n96 [label=\"five__c1_tails__c2_heads\"];\n204 [label=\"eight__c1_tails__c2_heads\"];\n40 [label=\"three__c1_heads__c2_tails\"];\n48 [label=\"agree__three__c1_tails__c2_tails\"];\n169 [label=\"agree__seven__c1_heads__c2_heads\"];\n241 [label=\"agree__nine__c1_tails__c2_tails\"];\n137 [label=\"agree__six__c1_heads__c2_heads\"];\n193 [label=\"agree__eight__c1_tails__c2_tails\"];\n15 [label=\"two__c1_tails__c2_heads\"];\n170 [label=\"agree__seven__c1_tails__c2_tails\"];\n214 [label=\"agree__eight__c1_heads__c2_heads\"];\n223 [label=\"agree__nine__c1_tails__c2_tails\"];\n13 [label=\"agree__two__c1_tails__c2_tails\"];\n209 [label=\"agree__eight__c1_tails__c2_tails\"];\n23 [label=\"finished__two__c1_heads__c2_tails\"];\n198 [label=\"agree__eight__c1_heads__c2_heads\"];\n21 [label=\"finished__two__c1_tails__c2_heads\"];\n218 [label=\"nine__c1_tails__c2_heads\"];\n39 [label=\"three__c1_heads__c2_tails\"];\n49 [label=\"agree__three__c1_tails__c2_tails\"];\n136 [label=\"six__c1_heads__c2_tails\"];\n240 [label=\"agree__nine__c1_tails__c2_tails\"];\n257 [label=\"agree__ten__c1_tails__c2_tails\"];\n210 [label=\"eight__c1_tails__c2_heads\"];\n234 [label=\"agree__nine__c1_tails__c2_tails\"];\n71 [label=\"four__c1_heads__c2_tails\"];\n109 [label=\"agree__five__c1_tails__c2_tails\"];\n55 [label=\"three__c1_heads__c2_tails\"];\n25 [label=\"agree__three__c1_tails__c2_tails\"];\n16 [label=\"agree__two__c1_tails__c2_tails\"];\n184 [label=\"agree__eight__c1_tails__c2_tails\"];\n144 [label=\"agree__six__c1_tails__c2_tails\"];\n173 [label=\"agree__seven__c1_tails__c2_tails\"];\n87 [label=\"four__c1_heads__c2_tails\"];\n42 [label=\"agree__three__c1_tails__c2_tails\"];\n135 [label=\"six__c1_heads__c2_tails\"];\n110 [label=\"agree__five__c1_tails__c2_tails\"];\n12 [label=\"two__c1_tails__c2_heads\"];\n127 [label=\"agree__six__c1_tails__c2_tails\"];\n8 [label=\"two__c1_heads__c2_tails\"];\n258 [label=\"agree__ten__c1_tails__c2_tails\"];\n151 [label=\"six__c1_heads__c2_tails\"];\n114 [label=\"five__c1_tails__c2_heads\"];\n94 [label=\"agree__five__c1_tails__c2_tails\"];\n256 [label=\"ten__c1_tails__c2_heads\"];\n156 [label=\"agree__seven__c1_tails__c2_tails\"];\n43 [label=\"agree__three__c1_tails__c2_tails\"];\n195 [label=\"eight__c1_tails__c2_heads\"];\n26 [label=\"three__c1_tails__c2_heads\"];\n37 [label=\"three__c1_heads__c2_tails\"];\n217 [label=\"agree__nine__c1_tails__c2_tails\"];\n224 [label=\"nine__c1_tails__c2_heads\"];\n76 [label=\"four__c1_tails__c2_heads\"];\n140 [label=\"six__c1_tails__c2_heads\"];\n126 [label=\"agree__six__c1_tails__c2_tails\"];\n86 [label=\"agree__four__c1_heads__c2_heads\"];\n164 [label=\"seven__c1_heads__c2_tails\"];\n27 [label=\"agree__three__c1_tails__c2_tails\"];\n69 [label=\"four__c1_heads__c2_tails\"];\n53 [label=\"three__c1_heads__c2_tails\"];\n22 [label=\"two__c1_heads__c2_tails\"];\n95 [label=\"agree__five__c1_tails__c2_tails\"];\n70 [label=\"agree__four__c1_heads__c2_heads\"];\n180 [label=\"seven__c1_heads__c2_tails\"];\n220 [label=\"agree__nine__c1_tails__c2_tails\"];\n85 [label=\"four__c1_heads__c2_tails\"];\n36 [label=\"three__c1_heads__c2_tails\"];\n133 [label=\"six__c1_heads__c2_tails\"];\n129 [label=\"agree__six__c1_tails__c2_tails\"];\n221 [label=\"nine__c1_tails__c2_heads\"];\n159 [label=\"agree__seven__c1_tails__c2_tails\"];\n260 [label=\"agree__ten__c1_tails__c2_tails\"];\n112 [label=\"agree__five__c1_tails__c2_tails\"];\n28 [label=\"agree__three__c1_tails__c2_tails\"];\n235 [label=\"agree__nine__c1_tails__c2_tails\"];\n68 [label=\"four__c1_heads__c2_tails\"];\n165 [label=\"seven__c1_heads__c2_tails\"];\n122 [label=\"six__c1_tails__c2_heads\"];\n268 [label=\"agree__eleven__c1_tails__c2_tails\"];\n52 [label=\"three__c1_heads__c2_tails\"];\n261 [label=\"finished__ten__c1_tails__c2_heads\"];\n17 [label=\"agree__two__c1_tails__c2_tails\"];\n58 [label=\"four__c1_tails__c2_heads\"];\n149 [label=\"six__c1_heads__c2_tails\"];\n233 [label=\"agree__nine__c1_heads__c2_heads\"];\n145 [label=\"agree__six__c1_tails__c2_tails\"];\n174 [label=\"agree__seven__c1_tails__c2_tails\"];\n192 [label=\"eight__c1_tails__c2_heads\"];\n239 [label=\"nine__c1_tails__c2_heads\"];\n45 [label=\"agree__three__c1_tails__c2_tails\"];\n219 [label=\"agree__nine__c1_tails__c2_tails\"];\n84 [label=\"four__c1_heads__c2_tails\"];\n181 [label=\"seven__c1_heads__c2_tails\"];\n132 [label=\"six__c1_heads__c2_tails\"];\n265 [label=\"ten__c1_heads__c2_tails\"];\n99 [label=\"five__c1_tails__c2_heads\"];\n158 [label=\"agree__seven__c1_tails__c2_tails\"];\n113 [label=\"agree__five__c1_tails__c2_tails\"];\n47 [label=\"three__c1_tails__c2_heads\"];\n154 [label=\"seven__c1_tails__c2_heads\"];\n4 [label=\"agree__two__c1_tails__c2_tails\"];\n148 [label=\"six__c1_heads__c2_tails\"];\n177 [label=\"agree__seven__c1_tails__c2_tails\"];\n232 [label=\"nine__c1_heads__c2_tails\"];\n188 [label=\"agree__eight__c1_tails__c2_tails\"];\n251 [label=\"ten__c1_tails__c2_heads\"];\n56 [label=\"agree__four__c1_tails__c2_tails\"];\n89 [label=\"agree__five__c1_tails__c2_tails\"];\n267 [label=\"finished__agree__ten__c1_heads__c2_heads\"];\n123 [label=\"agree__six__c1_tails__c2_tails\"];\n227 [label=\"nine__c1_tails__c2_heads\"];\n161 [label=\"agree__seven__c1_tails__c2_tails\"];\n143 [label=\"six__c1_tails__c2_heads\"];\n106 [label=\"agree__five__c1_tails__c2_tails\"];\n19 [label=\"agree__two__c1_tails__c2_tails\"];\n41 [label=\"agree__three__c1_heads__c2_heads\"];\n74 [label=\"agree__four__c1_tails__c2_tails\"];\n128 [label=\"six__c1_tails__c2_heads\"];\n231 [label=\"nine__c1_heads__c2_tails\"];\n139 [label=\"agree__six__c1_tails__c2_tails\"];\n176 [label=\"agree__seven__c1_tails__c2_tails\"];\n187 [label=\"agree__eight__c1_tails__c2_tails\"];\n172 [label=\"seven__c1_tails__c2_heads\"];\n57 [label=\"agree__four__c1_tails__c2_tails\"];\n247 [label=\"nine__c1_heads__c2_tails\"];\n203 [label=\"agree__eight__c1_tails__c2_tails\"];\n107 [label=\"agree__five__c1_tails__c2_tails\"];\n6 [label=\"agree__two__c1_tails__c2_tails\"];\n75 [label=\"agree__four__c1_tails__c2_tails\"];\n230 [label=\"agree__nine__c1_heads__c2_heads\"];\n179 [label=\"agree__seven__c1_tails__c2_tails\"];\n38 [label=\"agree__three__c1_heads__c2_heads\"];\n242 [label=\"nine__c1_tails__c2_heads\"];\n125 [label=\"six__c1_tails__c2_heads\"];\n252 [label=\"ten__c1_heads__c2_tails\"];\n142 [label=\"agree__six__c1_tails__c2_tails\"];\n91 [label=\"agree__five__c1_tails__c2_tails\"];\n200 [label=\"eight__c1_heads__c2_tails\"];\n248 [label=\"agree__ten__c1_tails__c2_tails\"];\n29 [label=\"three__c1_tails__c2_heads\"];\n105 [label=\"agree__five__c1_heads__c2_heads\"];\n216 [label=\"agree__nine__c1_tails__c2_tails\"];\n249 [label=\"ten__c1_tails__c2_heads\"];\n264 [label=\"agree__ten__c1_heads__c2_heads\"];\n20 [label=\"finished__agree__two__c1_tails__c2_tails\"];\n202 [label=\"agree__eight__c1_tails__c2_tails\"];\n54 [label=\"agree__three__c1_heads__c2_heads\"];\n2 [label=\"agree__one__c1_tails__c2_tails\"];\n215 [label=\"eight__c1_heads__c2_tails\"];\n157 [label=\"seven__c1_tails__c2_heads\"];\n44 [label=\"three__c1_tails__c2_heads\"];\n24 [label=\"agree__three__c1_tails__c2_tails\"];\n5 [label=\"agree__two__c1_tails__c2_tails\"];\n269 [label=\"eleven__c1_tails__c2_heads\"];\n141 [label=\"agree__six__c1_tails__c2_tails\"];\n185 [label=\"agree__eight__c1_tails__c2_tails\"];\n229 [label=\"nine__c1_heads__c2_tails\"];\n199 [label=\"eight__c1_heads__c2_tails\"];\n92 [label=\"agree__five__c1_tails__c2_tails\"];\n73 [label=\"agree__four__c1_heads__c2_heads\"];\n59 [label=\"agree__four__c1_tails__c2_tails\"];\n246 [label=\"agree__nine__c1_heads__c2_heads\"];\n124 [label=\"agree__six__c1_tails__c2_tails\"];\n162 [label=\"agree__seven__c1_tails__c2_tails\"];\n245 [label=\"nine__c1_heads__c2_tails\"];\n9 [label=\"two__c1_heads__c2_tails\"];\n72 [label=\"four__c1_heads__c2_tails\"];\n67 [label=\"four__c1_tails__c2_heads\"];\n226 [label=\"agree__nine__c1_tails__c2_tails\"];\n77 [label=\"agree__four__c1_tails__c2_tails\"];\n103 [label=\"five__c1_heads__c2_tails\"];\n131 [label=\"six__c1_tails__c2_heads\"];\n228 [label=\"nine__c1_heads__c2_tails\"];\n33 [label=\"agree__three__c1_tails__c2_tails\"];\n35 [label=\"three__c1_tails__c2_heads\"];\n253 [label=\"agree__ten__c1_heads__c2_heads\"];\n175 [label=\"seven__c1_tails__c2_heads\"];\n3 [label=\"finished__agree__one__c1_tails__c2_tails\"];\n90 [label=\"five__c1_tails__c2_heads\"];\n208 [label=\"agree__eight__c1_tails__c2_tails\"];\n250 [label=\"agree__ten__c1_tails__c2_tails\"];\n0 [label=\"agree__one__c1_tails__c2_tails\"];\n243 [label=\"agree__nine__c1_tails__c2_tails\"];\n119 [label=\"five__c1_heads__c2_tails\"];\n244 [label=\"nine__c1_heads__c2_tails\"];\n60 [label=\"agree__four__c1_tails__c2_tails\"];\n191 [label=\"agree__eight__c1_tails__c2_tails\"];\n213 [label=\"eight__c1_heads__c2_tails\"];\n7 [label=\"agree__two__c1_tails__c2_tails\"];\n186 [label=\"eight__c1_tails__c2_heads\"];\n34 [label=\"agree__three__c1_tails__c2_tails\"];\n78 [label=\"agree__four__c1_tails__c2_tails\"];\n104 [label=\"five__c1_heads__c2_tails\"];\n225 [label=\"agree__nine__c1_tails__c2_tails\"];\n197 [label=\"eight__c1_heads__c2_tails\"];\n1 [label=\"agree__one__c1_tails__c2_tails\"];\n270 [label=\"eleven__c1_heads__c2_tails\"];\n166 [label=\"agree__seven__c1_heads__c2_heads\"];\n51 [label=\"agree__three__c1_tails__c2_tails\"];\n160 [label=\"seven__c1_tails__c2_heads\"];\n10 [label=\"agree__two__c1_tails__c2_tails\"];\n18 [label=\"two__c1_tails__c2_heads\"];\n121 [label=\"agree__six__c1_tails__c2_tails\"];\n212 [label=\"eight__c1_heads__c2_tails\"];\n118 [label=\"agree__five__c1_heads__c2_heads\"];\n101 [label=\"five__c1_heads__c2_tails\"];\n182 [label=\"agree__seven__c1_heads__c2_heads\"];\n138 [label=\"agree__six__c1_tails__c2_tails\"];\n190 [label=\"agree__eight__c1_tails__c2_tails\"];\n201 [label=\"agree__eight__c1_heads__c2_heads\"];\n196 [label=\"eight__c1_heads__c2_tails\"];\n117 [label=\"five__c1_heads__c2_tails\"];\n50 [label=\"three__c1_tails__c2_heads\"];\n62 [label=\"agree__four__c1_tails__c2_tails\"];\n206 [label=\"agree__eight__c1_tails__c2_tails\"];\n120 [label=\"agree__six__c1_tails__c2_tails\"];\n108 [label=\"five__c1_tails__c2_heads\"];\n178 [label=\"seven__c1_tails__c2_heads\"];\n32 [label=\"three__c1_tails__c2_heads\"];\n80 [label=\"agree__four__c1_tails__c2_tails\"];\n82 [label=\"four__c1_tails__c2_heads\"];\n150 [label=\"agree__six__c1_heads__c2_heads\"];\n88 [label=\"agree__five__c1_tails__c2_tails\"];\n102 [label=\"agree__five__c1_heads__c2_heads\"];\n146 [label=\"six__c1_tails__c2_heads\"];\n63 [label=\"agree__four__c1_tails__c2_tails\"];\n205 [label=\"agree__eight__c1_tails__c2_tails\"];\n134 -> 172  [label=\"go1:1.0\"];\n134 -> 167  [label=\"go2:1.0\"];\n259 -> 267  [label=\"go1:1.0\"];\n259 -> 259  [label=\"go2:1.0\"];\n222 -> 202  [label=\"go1:1.0\"];\n222 -> 223  [label=\"go2:0.5\"];\n222 -> 224  [label=\"go2:0.5\"];\n189 -> 195  [label=\"go1:0.5\"];\n189 -> 201  [label=\"go1:0.5\"];\n189 -> 189  [label=\"go2:1.0\"];\n236 -> 218  [label=\"go1:1.0\"];\n236 -> 257  [label=\"go2:1.0\"];\n81 -> 81  [label=\"go1:1.0\"];\n81 -> 51  [label=\"go2:1.0\"];\n97 -> 77  [label=\"go1:1.0\"];\n97 -> 94  [label=\"go2:1.0\"];\n111 -> 93  [label=\"go1:1.0\"];\n111 -> 111  [label=\"go2:1.0\"];\n153 -> 159  [label=\"go1:0.5\"];\n153 -> 165  [label=\"go1:0.5\"];\n153 -> 123  [label=\"go2:1.0\"];\n262 -> 262  [label=\"go1:1.0\"];\n262 -> 263  [label=\"go2:0.5\"];\n262 -> 264  [label=\"go2:0.5\"];\n163 -> 143  [label=\"go1:1.0\"];\n163 -> 163  [label=\"go2:1.0\"];\n254 -> 262  [label=\"go1:1.0\"];\n254 -> 256  [label=\"go2:0.5\"];\n254 -> 255  [label=\"go2:0.5\"];\n46 -> 28  [label=\"go1:1.0\"];\n46 -> 46  [label=\"go2:1.0\"];\n79 -> 61  [label=\"go1:1.0\"];\n79 -> 79  [label=\"go2:1.0\"];\n11 -> 17  [label=\"go1:1.0\"];\n11 -> 0  [label=\"go2:1.0\"];\n64 -> 44  [label=\"go1:1.0\"];\n64 -> 97  [label=\"go2:1.0\"];\n66 -> 46  [label=\"go1:1.0\"];\n66 -> 66  [label=\"go2:1.0\"];\n147 -> 147  [label=\"go1:1.0\"];\n147 -> 144  [label=\"go2:1.0\"];\n237 -> 219  [label=\"go1:1.0\"];\n237 -> 234  [label=\"go2:1.0\"];\n98 -> 78  [label=\"go1:1.0\"];\n98 -> 98  [label=\"go2:1.0\"];\n100 -> 138  [label=\"go1:1.0\"];\n100 -> 101  [label=\"go2:0.5\"];\n100 -> 102  [label=\"go2:0.5\"];\n167 -> 205  [label=\"go1:1.0\"];\n167 -> 164  [label=\"go2:1.0\"];\n30 -> 10  [label=\"go1:1.0\"];\n30 -> 32  [label=\"go2:0.5\"];\n30 -> 31  [label=\"go2:0.5\"];\n130 -> 110  [label=\"go1:1.0\"];\n130 -> 130  [label=\"go2:1.0\"];\n152 -> 158  [label=\"go1:0.5\"];\n152 -> 164  [label=\"go1:0.5\"];\n152 -> 153  [label=\"go2:0.5\"];\n152 -> 154  [label=\"go2:0.5\"];\n211 -> 211  [label=\"go1:1.0\"];\n211 -> 208  [label=\"go2:1.0\"];\n255 -> 263  [label=\"go1:1.0\"];\n255 -> 237  [label=\"go2:1.0\"];\n263 -> 263  [label=\"go1:1.0\"];\n263 -> 247  [label=\"go2:1.0\"];\n115 -> 115  [label=\"go1:1.0\"];\n115 -> 112  [label=\"go2:1.0\"];\n116 -> 116  [label=\"go1:1.0\"];\n116 -> 117  [label=\"go2:0.5\"];\n116 -> 118  [label=\"go2:0.5\"];\n271 -> 271  [label=\"go1:1.0\"];\n271 -> 271  [label=\"go2:1.0\"];\n183 -> 183  [label=\"go1:1.0\"];\n183 -> 180  [label=\"go2:1.0\"];\n238 -> 220  [label=\"go1:1.0\"];\n238 -> 238  [label=\"go2:1.0\"];\n93 -> 105  [label=\"go1:0.5\"];\n93 -> 99  [label=\"go1:0.5\"];\n93 -> 93  [label=\"go2:1.0\"];\n65 -> 45  [label=\"go1:1.0\"];\n65 -> 62  [label=\"go2:1.0\"];\n207 -> 189  [label=\"go1:1.0\"];\n207 -> 207  [label=\"go2:1.0\"];\n171 -> 153  [label=\"go1:1.0\"];\n171 -> 141  [label=\"go2:1.0\"];\n194 -> 174  [label=\"go1:1.0\"];\n194 -> 194  [label=\"go2:1.0\"];\n266 -> 266  [label=\"go1:1.0\"];\n266 -> 266  [label=\"go2:1.0\"];\n14 -> 20  [label=\"go1:1.0\"];\n14 -> 14  [label=\"go2:1.0\"];\n61 -> 73  [label=\"go1:0.5\"];\n61 -> 67  [label=\"go1:0.5\"];\n61 -> 61  [label=\"go2:1.0\"];\n168 -> 206  [label=\"go1:1.0\"];\n168 -> 168  [label=\"go2:1.0\"];\n31 -> 11  [label=\"go1:1.0\"];\n31 -> 6  [label=\"go2:1.0\"];\n83 -> 83  [label=\"go1:1.0\"];\n83 -> 80  [label=\"go2:1.0\"];\n155 -> 161  [label=\"go1:0.5\"];\n155 -> 167  [label=\"go1:0.5\"];\n155 -> 152  [label=\"go2:1.0\"];\n96 -> 76  [label=\"go1:1.0\"];\n96 -> 129  [label=\"go2:1.0\"];\n204 -> 186  [label=\"go1:1.0\"];\n204 -> 237  [label=\"go2:1.0\"];\n40 -> 78  [label=\"go1:1.0\"];\n40 -> 40  [label=\"go2:1.0\"];\n48 -> 48  [label=\"go1:1.0\"];\n48 -> 50  [label=\"go2:0.5\"];\n48 -> 49  [label=\"go2:0.5\"];\n169 -> 207  [label=\"go1:1.0\"];\n169 -> 169  [label=\"go2:1.0\"];\n241 -> 241  [label=\"go1:1.0\"];\n241 -> 211  [label=\"go2:1.0\"];\n137 -> 175  [label=\"go1:1.0\"];\n137 -> 137  [label=\"go2:1.0\"];\n193 -> 173  [label=\"go1:1.0\"];\n193 -> 190  [label=\"go2:1.0\"];\n15 -> 21  [label=\"go1:1.0\"];\n15 -> 15  [label=\"go2:1.0\"];\n170 -> 152  [label=\"go1:1.0\"];\n170 -> 171  [label=\"go2:0.5\"];\n170 -> 172  [label=\"go2:0.5\"];\n214 -> 214  [label=\"go1:1.0\"];\n214 -> 247  [label=\"go2:1.0\"];\n223 -> 203  [label=\"go1:1.0\"];\n223 -> 193  [label=\"go2:1.0\"];\n13 -> 19  [label=\"go1:1.0\"];\n13 -> 14  [label=\"go2:1.0\"];\n209 -> 209  [label=\"go1:1.0\"];\n209 -> 179  [label=\"go2:1.0\"];\n23 -> 23  [label=\"go1:1.0\"];\n23 -> 23  [label=\"go2:1.0\"];\n198 -> 236  [label=\"go1:1.0\"];\n198 -> 231  [label=\"go2:1.0\"];\n21 -> 21  [label=\"go1:1.0\"];\n21 -> 21  [label=\"go2:1.0\"];\n218 -> 230  [label=\"go1:0.5\"];\n218 -> 224  [label=\"go1:0.5\"];\n218 -> 248  [label=\"go2:1.0\"];\n39 -> 77  [label=\"go1:1.0\"];\n39 -> 36  [label=\"go2:1.0\"];\n49 -> 49  [label=\"go1:1.0\"];\n49 -> 19  [label=\"go2:1.0\"];\n136 -> 174  [label=\"go1:1.0\"];\n136 -> 136  [label=\"go2:1.0\"];\n240 -> 240  [label=\"go1:1.0\"];\n240 -> 241  [label=\"go2:0.5\"];\n240 -> 242  [label=\"go2:0.5\"];\n257 -> 265  [label=\"go1:1.0\"];\n257 -> 259  [label=\"go2:1.0\"];\n210 -> 210  [label=\"go1:1.0\"];\n210 -> 243  [label=\"go2:1.0\"];\n234 -> 216  [label=\"go1:1.0\"];\n234 -> 235  [label=\"go2:0.5\"];\n234 -> 236  [label=\"go2:0.5\"];\n71 -> 109  [label=\"go1:1.0\"];\n71 -> 68  [label=\"go2:1.0\"];\n109 -> 91  [label=\"go1:1.0\"];\n109 -> 106  [label=\"go2:1.0\"];\n55 -> 55  [label=\"go1:1.0\"];\n55 -> 52  [label=\"go2:1.0\"];\n25 -> 31  [label=\"go1:0.5\"];\n25 -> 37  [label=\"go1:0.5\"];\n25 -> 4  [label=\"go2:1.0\"];\n16 -> 16  [label=\"go1:1.0\"];\n16 -> 17  [label=\"go2:0.5\"];\n16 -> 18  [label=\"go2:0.5\"];\n184 -> 190  [label=\"go1:0.5\"];\n184 -> 196  [label=\"go1:0.5\"];\n184 -> 186  [label=\"go2:0.5\"];\n184 -> 185  [label=\"go2:0.5\"];\n144 -> 144  [label=\"go1:1.0\"];\n144 -> 145  [label=\"go2:0.5\"];\n144 -> 146  [label=\"go2:0.5\"];\n173 -> 155  [label=\"go1:1.0\"];\n173 -> 170  [label=\"go2:1.0\"];\n87 -> 87  [label=\"go1:1.0\"];\n87 -> 84  [label=\"go2:1.0\"];\n42 -> 24  [label=\"go1:1.0\"];\n42 -> 44  [label=\"go2:0.5\"];\n42 -> 43  [label=\"go2:0.5\"];\n135 -> 173  [label=\"go1:1.0\"];\n135 -> 132  [label=\"go2:1.0\"];\n110 -> 92  [label=\"go1:1.0\"];\n110 -> 110  [label=\"go2:1.0\"];\n12 -> 18  [label=\"go1:1.0\"];\n12 -> 45  [label=\"go2:1.0\"];\n127 -> 107  [label=\"go1:1.0\"];\n127 -> 97  [label=\"go2:1.0\"];\n8 -> 45  [label=\"go1:1.0\"];\n8 -> 9  [label=\"go2:1.0\"];\n258 -> 266  [label=\"go1:1.0\"];\n258 -> 258  [label=\"go2:1.0\"];\n151 -> 151  [label=\"go1:1.0\"];\n151 -> 148  [label=\"go2:1.0\"];\n114 -> 114  [label=\"go1:1.0\"];\n114 -> 147  [label=\"go2:1.0\"];\n94 -> 74  [label=\"go1:1.0\"];\n94 -> 96  [label=\"go2:0.5\"];\n94 -> 95  [label=\"go2:0.5\"];\n256 -> 264  [label=\"go1:1.0\"];\n256 -> 268  [label=\"go2:1.0\"];\n156 -> 162  [label=\"go1:0.5\"];\n156 -> 168  [label=\"go1:0.5\"];\n156 -> 156  [label=\"go2:1.0\"];\n43 -> 25  [label=\"go1:1.0\"];\n43 -> 13  [label=\"go2:1.0\"];\n195 -> 175  [label=\"go1:1.0\"];\n195 -> 195  [label=\"go2:1.0\"];\n26 -> 32  [label=\"go1:0.5\"];\n26 -> 38  [label=\"go1:0.5\"];\n26 -> 59  [label=\"go2:1.0\"];\n37 -> 75  [label=\"go1:1.0\"];\n37 -> 8  [label=\"go2:1.0\"];\n217 -> 223  [label=\"go1:0.5\"];\n217 -> 229  [label=\"go1:0.5\"];\n217 -> 187  [label=\"go2:1.0\"];\n224 -> 204  [label=\"go1:1.0\"];\n224 -> 250  [label=\"go2:1.0\"];\n76 -> 58  [label=\"go1:1.0\"];\n76 -> 109  [label=\"go2:1.0\"];\n140 -> 122  [label=\"go1:1.0\"];\n140 -> 173  [label=\"go2:1.0\"];\n126 -> 106  [label=\"go1:1.0\"];\n126 -> 127  [label=\"go2:0.5\"];\n126 -> 128  [label=\"go2:0.5\"];\n86 -> 86  [label=\"go1:1.0\"];\n86 -> 119  [label=\"go2:1.0\"];\n164 -> 202  [label=\"go1:1.0\"];\n164 -> 165  [label=\"go2:0.5\"];\n164 -> 166  [label=\"go2:0.5\"];\n27 -> 33  [label=\"go1:0.5\"];\n27 -> 39  [label=\"go1:0.5\"];\n27 -> 24  [label=\"go2:1.0\"];\n69 -> 107  [label=\"go1:1.0\"];\n69 -> 39  [label=\"go2:1.0\"];\n53 -> 53  [label=\"go1:1.0\"];\n53 -> 22  [label=\"go2:1.0\"];\n22 -> 22  [label=\"go1:1.0\"];\n22 -> 23  [label=\"go2:1.0\"];\n95 -> 75  [label=\"go1:1.0\"];\n95 -> 65  [label=\"go2:1.0\"];\n70 -> 108  [label=\"go1:1.0\"];\n70 -> 103  [label=\"go2:1.0\"];\n180 -> 180  [label=\"go1:1.0\"];\n180 -> 181  [label=\"go2:0.5\"];\n180 -> 182  [label=\"go2:0.5\"];\n220 -> 226  [label=\"go1:0.5\"];\n220 -> 232  [label=\"go1:0.5\"];\n220 -> 220  [label=\"go2:1.0\"];\n85 -> 85  [label=\"go1:1.0\"];\n85 -> 55  [label=\"go2:1.0\"];\n36 -> 74  [label=\"go1:1.0\"];\n36 -> 37  [label=\"go2:0.5\"];\n36 -> 38  [label=\"go2:0.5\"];\n133 -> 171  [label=\"go1:1.0\"];\n133 -> 103  [label=\"go2:1.0\"];\n129 -> 109  [label=\"go1:1.0\"];\n129 -> 126  [label=\"go2:1.0\"];\n221 -> 233  [label=\"go1:0.5\"];\n221 -> 227  [label=\"go1:0.5\"];\n221 -> 221  [label=\"go2:1.0\"];\n159 -> 139  [label=\"go1:1.0\"];\n159 -> 129  [label=\"go2:1.0\"];\n260 -> 260  [label=\"go1:1.0\"];\n260 -> 261  [label=\"go2:1.0\"];\n112 -> 112  [label=\"go1:1.0\"];\n112 -> 114  [label=\"go2:0.5\"];\n112 -> 113  [label=\"go2:0.5\"];\n28 -> 34  [label=\"go1:0.5\"];\n28 -> 40  [label=\"go1:0.5\"];\n28 -> 28  [label=\"go2:1.0\"];\n235 -> 217  [label=\"go1:1.0\"];\n235 -> 205  [label=\"go2:1.0\"];\n68 -> 106  [label=\"go1:1.0\"];\n68 -> 70  [label=\"go2:0.5\"];\n68 -> 69  [label=\"go2:0.5\"];\n165 -> 203  [label=\"go1:1.0\"];\n165 -> 135  [label=\"go2:1.0\"];\n122 -> 128  [label=\"go1:0.5\"];\n122 -> 134  [label=\"go1:0.5\"];\n122 -> 155  [label=\"go2:1.0\"];\n268 -> 270  [label=\"go1:1.0\"];\n268 -> 269  [label=\"go2:1.0\"];\n52 -> 52  [label=\"go1:1.0\"];\n52 -> 53  [label=\"go2:0.5\"];\n52 -> 54  [label=\"go2:0.5\"];\n261 -> 261  [label=\"go1:1.0\"];\n261 -> 261  [label=\"go2:1.0\"];\n17 -> 17  [label=\"go1:1.0\"];\n17 -> 2  [label=\"go2:1.0\"];\n58 -> 70  [label=\"go1:0.5\"];\n58 -> 64  [label=\"go1:0.5\"];\n58 -> 91  [label=\"go2:1.0\"];\n149 -> 149  [label=\"go1:1.0\"];\n149 -> 119  [label=\"go2:1.0\"];\n233 -> 259  [label=\"go1:1.0\"];\n233 -> 233  [label=\"go2:1.0\"];\n145 -> 145  [label=\"go1:1.0\"];\n145 -> 115  [label=\"go2:1.0\"];\n174 -> 156  [label=\"go1:1.0\"];\n174 -> 174  [label=\"go2:1.0\"];\n192 -> 172  [label=\"go1:1.0\"];\n192 -> 225  [label=\"go2:1.0\"];\n239 -> 221  [label=\"go1:1.0\"];\n239 -> 239  [label=\"go2:1.0\"];\n45 -> 27  [label=\"go1:1.0\"];\n45 -> 42  [label=\"go2:1.0\"];\n219 -> 225  [label=\"go1:0.5\"];\n219 -> 231  [label=\"go1:0.5\"];\n219 -> 216  [label=\"go2:1.0\"];\n84 -> 84  [label=\"go1:1.0\"];\n84 -> 86  [label=\"go2:0.5\"];\n84 -> 85  [label=\"go2:0.5\"];\n181 -> 181  [label=\"go1:1.0\"];\n181 -> 151  [label=\"go2:1.0\"];\n132 -> 170  [label=\"go1:1.0\"];\n132 -> 133  [label=\"go2:0.5\"];\n132 -> 134  [label=\"go2:0.5\"];\n265 -> 265  [label=\"go1:1.0\"];\n265 -> 267  [label=\"go2:1.0\"];\n99 -> 79  [label=\"go1:1.0\"];\n99 -> 99  [label=\"go2:1.0\"];\n158 -> 138  [label=\"go1:1.0\"];\n158 -> 159  [label=\"go2:0.5\"];\n158 -> 160  [label=\"go2:0.5\"];\n113 -> 113  [label=\"go1:1.0\"];\n113 -> 83  [label=\"go2:1.0\"];\n47 -> 29  [label=\"go1:1.0\"];\n47 -> 47  [label=\"go2:1.0\"];\n154 -> 166  [label=\"go1:0.5\"];\n154 -> 160  [label=\"go1:0.5\"];\n154 -> 187  [label=\"go2:1.0\"];\n4 -> 8  [label=\"go1:0.5\"];\n4 -> 6  [label=\"go1:0.5\"];\n4 -> 5  [label=\"go2:1.0\"];\n148 -> 148  [label=\"go1:1.0\"];\n148 -> 150  [label=\"go2:0.5\"];\n148 -> 149  [label=\"go2:0.5\"];\n177 -> 177  [label=\"go1:1.0\"];\n177 -> 147  [label=\"go2:1.0\"];\n232 -> 258  [label=\"go1:1.0\"];\n232 -> 232  [label=\"go2:1.0\"];\n188 -> 194  [label=\"go1:0.5\"];\n188 -> 200  [label=\"go1:0.5\"];\n188 -> 188  [label=\"go2:1.0\"];\n251 -> 239  [label=\"go1:1.0\"];\n251 -> 251  [label=\"go2:1.0\"];\n56 -> 68  [label=\"go1:0.5\"];\n56 -> 62  [label=\"go1:0.5\"];\n56 -> 58  [label=\"go2:0.5\"];\n56 -> 57  [label=\"go2:0.5\"];\n89 -> 101  [label=\"go1:0.5\"];\n89 -> 95  [label=\"go1:0.5\"];\n89 -> 59  [label=\"go2:1.0\"];\n267 -> 267  [label=\"go1:1.0\"];\n267 -> 267  [label=\"go2:1.0\"];\n123 -> 129  [label=\"go1:0.5\"];\n123 -> 135  [label=\"go1:0.5\"];\n123 -> 120  [label=\"go2:1.0\"];\n227 -> 207  [label=\"go1:1.0\"];\n227 -> 227  [label=\"go2:1.0\"];\n161 -> 141  [label=\"go1:1.0\"];\n161 -> 158  [label=\"go2:1.0\"];\n143 -> 125  [label=\"go1:1.0\"];\n143 -> 143  [label=\"go2:1.0\"];\n106 -> 88  [label=\"go1:1.0\"];\n106 -> 108  [label=\"go2:0.5\"];\n106 -> 107  [label=\"go2:0.5\"];\n19 -> 19  [label=\"go1:1.0\"];\n19 -> 20  [label=\"go2:1.0\"];\n41 -> 79  [label=\"go1:1.0\"];\n41 -> 41  [label=\"go2:1.0\"];\n74 -> 56  [label=\"go1:1.0\"];\n74 -> 76  [label=\"go2:0.5\"];\n74 -> 75  [label=\"go2:0.5\"];\n128 -> 108  [label=\"go1:1.0\"];\n128 -> 161  [label=\"go2:1.0\"];\n231 -> 257  [label=\"go1:1.0\"];\n231 -> 228  [label=\"go2:1.0\"];\n139 -> 121  [label=\"go1:1.0\"];\n139 -> 109  [label=\"go2:1.0\"];\n176 -> 176  [label=\"go1:1.0\"];\n176 -> 177  [label=\"go2:0.5\"];\n176 -> 178  [label=\"go2:0.5\"];\n187 -> 193  [label=\"go1:0.5\"];\n187 -> 199  [label=\"go1:0.5\"];\n187 -> 184  [label=\"go2:1.0\"];\n172 -> 154  [label=\"go1:1.0\"];\n172 -> 205  [label=\"go2:1.0\"];\n57 -> 69  [label=\"go1:0.5\"];\n57 -> 63  [label=\"go1:0.5\"];\n57 -> 27  [label=\"go2:1.0\"];\n247 -> 247  [label=\"go1:1.0\"];\n247 -> 244  [label=\"go2:1.0\"];\n203 -> 185  [label=\"go1:1.0\"];\n203 -> 173  [label=\"go2:1.0\"];\n107 -> 89  [label=\"go1:1.0\"];\n107 -> 77  [label=\"go2:1.0\"];\n6 -> 0  [label=\"go1:1.0\"];\n6 -> 7  [label=\"go2:1.0\"];\n75 -> 57  [label=\"go1:1.0\"];\n75 -> 45  [label=\"go2:1.0\"];\n230 -> 256  [label=\"go1:1.0\"];\n230 -> 252  [label=\"go2:1.0\"];\n179 -> 179  [label=\"go1:1.0\"];\n179 -> 176  [label=\"go2:1.0\"];\n38 -> 76  [label=\"go1:1.0\"];\n38 -> 71  [label=\"go2:1.0\"];\n242 -> 242  [label=\"go1:1.0\"];\n242 -> 260  [label=\"go2:1.0\"];\n125 -> 131  [label=\"go1:0.5\"];\n125 -> 137  [label=\"go1:0.5\"];\n125 -> 125  [label=\"go2:1.0\"];\n252 -> 268  [label=\"go1:1.0\"];\n252 -> 253  [label=\"go2:1.0\"];\n142 -> 124  [label=\"go1:1.0\"];\n142 -> 142  [label=\"go2:1.0\"];\n91 -> 97  [label=\"go1:0.5\"];\n91 -> 103  [label=\"go1:0.5\"];\n91 -> 88  [label=\"go2:1.0\"];\n200 -> 238  [label=\"go1:1.0\"];\n200 -> 200  [label=\"go2:1.0\"];\n248 -> 252  [label=\"go1:0.5\"];\n248 -> 250  [label=\"go1:0.5\"];\n248 -> 249  [label=\"go2:1.0\"];\n29 -> 35  [label=\"go1:0.5\"];\n29 -> 41  [label=\"go1:0.5\"];\n29 -> 29  [label=\"go2:1.0\"];\n105 -> 143  [label=\"go1:1.0\"];\n105 -> 105  [label=\"go2:1.0\"];\n216 -> 222  [label=\"go1:0.5\"];\n216 -> 228  [label=\"go1:0.5\"];\n216 -> 217  [label=\"go2:0.5\"];\n216 -> 218  [label=\"go2:0.5\"];\n249 -> 251  [label=\"go1:0.5\"];\n249 -> 253  [label=\"go1:0.5\"];\n249 -> 249  [label=\"go2:1.0\"];\n264 -> 264  [label=\"go1:1.0\"];\n264 -> 270  [label=\"go2:1.0\"];\n20 -> 20  [label=\"go1:1.0\"];\n20 -> 20  [label=\"go2:1.0\"];\n202 -> 184  [label=\"go1:1.0\"];\n202 -> 203  [label=\"go2:0.5\"];\n202 -> 204  [label=\"go2:0.5\"];\n54 -> 54  [label=\"go1:1.0\"];\n54 -> 87  [label=\"go2:1.0\"];\n2 -> 2  [label=\"go1:1.0\"];\n2 -> 3  [label=\"go2:1.0\"];\n215 -> 215  [label=\"go1:1.0\"];\n215 -> 212  [label=\"go2:1.0\"];\n157 -> 169  [label=\"go1:0.5\"];\n157 -> 163  [label=\"go1:0.5\"];\n157 -> 157  [label=\"go2:1.0\"];\n44 -> 26  [label=\"go1:1.0\"];\n44 -> 77  [label=\"go2:1.0\"];\n24 -> 30  [label=\"go1:0.5\"];\n24 -> 36  [label=\"go1:0.5\"];\n24 -> 26  [label=\"go2:0.5\"];\n24 -> 25  [label=\"go2:0.5\"];\n5 -> 9  [label=\"go1:0.5\"];\n5 -> 7  [label=\"go1:0.5\"];\n5 -> 5  [label=\"go2:1.0\"];\n269 -> 271  [label=\"go1:1.0\"];\n269 -> 269  [label=\"go2:1.0\"];\n141 -> 123  [label=\"go1:1.0\"];\n141 -> 138  [label=\"go2:1.0\"];\n185 -> 191  [label=\"go1:0.5\"];\n185 -> 197  [label=\"go1:0.5\"];\n185 -> 155  [label=\"go2:1.0\"];\n229 -> 255  [label=\"go1:1.0\"];\n229 -> 199  [label=\"go2:1.0\"];\n199 -> 237  [label=\"go1:1.0\"];\n199 -> 196  [label=\"go2:1.0\"];\n92 -> 98  [label=\"go1:0.5\"];\n92 -> 104  [label=\"go1:0.5\"];\n92 -> 92  [label=\"go2:1.0\"];\n73 -> 111  [label=\"go1:1.0\"];\n73 -> 73  [label=\"go2:1.0\"];\n59 -> 71  [label=\"go1:0.5\"];\n59 -> 65  [label=\"go1:0.5\"];\n59 -> 56  [label=\"go2:1.0\"];\n246 -> 246  [label=\"go1:1.0\"];\n246 -> 265  [label=\"go2:1.0\"];\n124 -> 130  [label=\"go1:0.5\"];\n124 -> 136  [label=\"go1:0.5\"];\n124 -> 124  [label=\"go2:1.0\"];\n162 -> 142  [label=\"go1:1.0\"];\n162 -> 162  [label=\"go2:1.0\"];\n245 -> 245  [label=\"go1:1.0\"];\n245 -> 215  [label=\"go2:1.0\"];\n9 -> 46  [label=\"go1:1.0\"];\n9 -> 9  [label=\"go2:1.0\"];\n72 -> 110  [label=\"go1:1.0\"];\n72 -> 72  [label=\"go2:1.0\"];\n67 -> 47  [label=\"go1:1.0\"];\n67 -> 67  [label=\"go2:1.0\"];\n226 -> 206  [label=\"go1:1.0\"];\n226 -> 226  [label=\"go2:1.0\"];\n77 -> 59  [label=\"go1:1.0\"];\n77 -> 74  [label=\"go2:1.0\"];\n103 -> 141  [label=\"go1:1.0\"];\n103 -> 100  [label=\"go2:1.0\"];\n131 -> 111  [label=\"go1:1.0\"];\n131 -> 131  [label=\"go2:1.0\"];\n228 -> 254  [label=\"go1:1.0\"];\n228 -> 229  [label=\"go2:0.5\"];\n228 -> 230  [label=\"go2:0.5\"];\n33 -> 13  [label=\"go1:1.0\"];\n33 -> 30  [label=\"go2:1.0\"];\n35 -> 15  [label=\"go1:1.0\"];\n35 -> 35  [label=\"go2:1.0\"];\n253 -> 269  [label=\"go1:1.0\"];\n253 -> 253  [label=\"go2:1.0\"];\n175 -> 157  [label=\"go1:1.0\"];\n175 -> 175  [label=\"go2:1.0\"];\n3 -> 3  [label=\"go1:1.0\"];\n3 -> 3  [label=\"go2:1.0\"];\n90 -> 102  [label=\"go1:0.5\"];\n90 -> 96  [label=\"go1:0.5\"];\n90 -> 123  [label=\"go2:1.0\"];\n208 -> 208  [label=\"go1:1.0\"];\n208 -> 209  [label=\"go2:0.5\"];\n208 -> 210  [label=\"go2:0.5\"];\n250 -> 237  [label=\"go1:1.0\"];\n250 -> 251  [label=\"go2:1.0\"];\n0 -> 2  [label=\"go1:1.0\"];\n0 -> 1  [label=\"go2:1.0\"];\n243 -> 243  [label=\"go1:1.0\"];\n243 -> 240  [label=\"go2:1.0\"];\n119 -> 119  [label=\"go1:1.0\"];\n119 -> 116  [label=\"go2:1.0\"];\n244 -> 244  [label=\"go1:1.0\"];\n244 -> 245  [label=\"go2:0.5\"];\n244 -> 246  [label=\"go2:0.5\"];\n60 -> 72  [label=\"go1:0.5\"];\n60 -> 66  [label=\"go1:0.5\"];\n60 -> 60  [label=\"go2:1.0\"];\n191 -> 171  [label=\"go1:1.0\"];\n191 -> 161  [label=\"go2:1.0\"];\n213 -> 213  [label=\"go1:1.0\"];\n213 -> 183  [label=\"go2:1.0\"];\n7 -> 1  [label=\"go1:1.0\"];\n7 -> 7  [label=\"go2:1.0\"];\n186 -> 192  [label=\"go1:0.5\"];\n186 -> 198  [label=\"go1:0.5\"];\n186 -> 219  [label=\"go2:1.0\"];\n34 -> 14  [label=\"go1:1.0\"];\n34 -> 34  [label=\"go2:1.0\"];\n78 -> 60  [label=\"go1:1.0\"];\n78 -> 78  [label=\"go2:1.0\"];\n104 -> 142  [label=\"go1:1.0\"];\n104 -> 104  [label=\"go2:1.0\"];\n225 -> 205  [label=\"go1:1.0\"];\n225 -> 222  [label=\"go2:1.0\"];\n197 -> 235  [label=\"go1:1.0\"];\n197 -> 167  [label=\"go2:1.0\"];\n1 -> 3  [label=\"go1:1.0\"];\n1 -> 1  [label=\"go2:1.0\"];\n270 -> 270  [label=\"go1:1.0\"];\n270 -> 271  [label=\"go2:1.0\"];\n166 -> 204  [label=\"go1:1.0\"];\n166 -> 199  [label=\"go2:1.0\"];\n51 -> 51  [label=\"go1:1.0\"];\n51 -> 48  [label=\"go2:1.0\"];\n160 -> 140  [label=\"go1:1.0\"];\n160 -> 193  [label=\"go2:1.0\"];\n10 -> 16  [label=\"go1:1.0\"];\n10 -> 11  [label=\"go2:0.5\"];\n10 -> 12  [label=\"go2:0.5\"];\n18 -> 18  [label=\"go1:1.0\"];\n18 -> 51  [label=\"go2:1.0\"];\n121 -> 127  [label=\"go1:0.5\"];\n121 -> 133  [label=\"go1:0.5\"];\n121 -> 91  [label=\"go2:1.0\"];\n212 -> 212  [label=\"go1:1.0\"];\n212 -> 213  [label=\"go2:0.5\"];\n212 -> 214  [label=\"go2:0.5\"];\n118 -> 118  [label=\"go1:1.0\"];\n118 -> 151  [label=\"go2:1.0\"];\n101 -> 139  [label=\"go1:1.0\"];\n101 -> 71  [label=\"go2:1.0\"];\n182 -> 182  [label=\"go1:1.0\"];\n182 -> 215  [label=\"go2:1.0\"];\n138 -> 120  [label=\"go1:1.0\"];\n138 -> 139  [label=\"go2:0.5\"];\n138 -> 140  [label=\"go2:0.5\"];\n190 -> 170  [label=\"go1:1.0\"];\n190 -> 192  [label=\"go2:0.5\"];\n190 -> 191  [label=\"go2:0.5\"];\n201 -> 239  [label=\"go1:1.0\"];\n201 -> 201  [label=\"go2:1.0\"];\n196 -> 234  [label=\"go1:1.0\"];\n196 -> 197  [label=\"go2:0.5\"];\n196 -> 198  [label=\"go2:0.5\"];\n117 -> 117  [label=\"go1:1.0\"];\n117 -> 87  [label=\"go2:1.0\"];\n50 -> 50  [label=\"go1:1.0\"];\n50 -> 83  [label=\"go2:1.0\"];\n62 -> 42  [label=\"go1:1.0\"];\n62 -> 64  [label=\"go2:0.5\"];\n62 -> 63  [label=\"go2:0.5\"];\n206 -> 188  [label=\"go1:1.0\"];\n206 -> 206  [label=\"go2:1.0\"];\n120 -> 126  [label=\"go1:0.5\"];\n120 -> 132  [label=\"go1:0.5\"];\n120 -> 121  [label=\"go2:0.5\"];\n120 -> 122  [label=\"go2:0.5\"];\n108 -> 90  [label=\"go1:1.0\"];\n108 -> 141  [label=\"go2:1.0\"];\n178 -> 178  [label=\"go1:1.0\"];\n178 -> 211  [label=\"go2:1.0\"];\n32 -> 12  [label=\"go1:1.0\"];\n32 -> 65  [label=\"go2:1.0\"];\n80 -> 80  [label=\"go1:1.0\"];\n80 -> 82  [label=\"go2:0.5\"];\n80 -> 81  [label=\"go2:0.5\"];\n82 -> 82  [label=\"go1:1.0\"];\n82 -> 115  [label=\"go2:1.0\"];\n150 -> 150  [label=\"go1:1.0\"];\n150 -> 183  [label=\"go2:1.0\"];\n88 -> 100  [label=\"go1:0.5\"];\n88 -> 94  [label=\"go1:0.5\"];\n88 -> 90  [label=\"go2:0.5\"];\n88 -> 89  [label=\"go2:0.5\"];\n102 -> 140  [label=\"go1:1.0\"];\n102 -> 135  [label=\"go2:1.0\"];\n146 -> 146  [label=\"go1:1.0\"];\n146 -> 179  [label=\"go2:1.0\"];\n63 -> 43  [label=\"go1:1.0\"];\n63 -> 33  [label=\"go2:1.0\"];\n205 -> 187  [label=\"go1:1.0\"];\n205 -> 202  [label=\"go2:1.0\"];\n__start0 [label=\"\", shape=none];\n__start0 -> 120  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/MDPs/slot_machine.dot",
    "content": "digraph slot_machine {\n263 [label=\"Pr0\"];\n308 [label=\"end\"];\n163 [label=\"r012\"];\n131 [label=\"Pr0\"];\n143 [label=\"end\"];\n101 [label=\"r210\"];\n32 [label=\"Pr0\"];\n77 [label=\"end\"];\n292 [label=\"end\"];\n280 [label=\"Pr0\"];\n226 [label=\"end\"];\n15 [label=\"r120\"];\n19 [label=\"r201\"];\n81 [label=\"r001\"];\n115 [label=\"Pr0\"];\n182 [label=\"r220\"];\n49 [label=\"Pr2\"];\n244 [label=\"r022\"];\n61 [label=\"end\"];\n264 [label=\"Pr0\"];\n309 [label=\"end\"];\n162 [label=\"r011\"];\n97 [label=\"r122\"];\n144 [label=\"end\"];\n132 [label=\"Pr0\"];\n198 [label=\"Pr2\"];\n33 [label=\"Pr0\"];\n78 [label=\"end\"];\n119 [label=\"Pr10\"];\n281 [label=\"Pr0\"];\n293 [label=\"end\"];\n227 [label=\"end\"];\n18 [label=\"r200\"];\n62 [label=\"end\"];\n50 [label=\"Pr0\"];\n116 [label=\"Pr2\"];\n243 [label=\"r021\"];\n247 [label=\"r102\"];\n265 [label=\"Pr0\"];\n310 [label=\"end\"];\n199 [label=\"Pr0\"];\n211 [label=\"end\"];\n1 [label=\"r001\"];\n145 [label=\"end\"];\n164 [label=\"r020\"];\n168 [label=\"r101\"];\n34 [label=\"Pr0\"];\n79 [label=\"end\"];\n103 [label=\"r212\"];\n249 [label=\"r111\"];\n294 [label=\"end\"];\n282 [label=\"Pr0\"];\n228 [label=\"end\"];\n117 [label=\"Pr0\"];\n17 [label=\"r122\"];\n51 [label=\"Pr0\"];\n184 [label=\"r222\"];\n63 [label=\"end\"];\n40 [label=\"Pr10\"];\n311 [label=\"end\"];\n212 [label=\"end\"];\n266 [label=\"Pr2\"];\n146 [label=\"end\"];\n200 [label=\"Pr2\"];\n0 [label=\"r000\"];\n35 [label=\"Pr0\"];\n80 [label=\"end\"];\n167 [label=\"r100\"];\n102 [label=\"r211\"];\n248 [label=\"r110\"];\n283 [label=\"Pr0\"];\n295 [label=\"end\"];\n229 [label=\"end\"];\n16 [label=\"r121\"];\n20 [label=\"r202\"];\n64 [label=\"end\"];\n82 [label=\"r002\"];\n52 [label=\"Pr0\"];\n118 [label=\"Pr2\"];\n183 [label=\"r221\"];\n104 [label=\"r220\"];\n267 [label=\"Pr0\"];\n312 [label=\"end\"];\n201 [label=\"Pr0\"];\n213 [label=\"end\"];\n147 [label=\"end\"];\n36 [label=\"Pr0\"];\n166 [label=\"r022\"];\n296 [label=\"end\"];\n185 [label=\"Pr0\"];\n230 [label=\"end\"];\n284 [label=\"Pr2\"];\n254 [label=\"r200\"];\n53 [label=\"Pr0\"];\n65 [label=\"end\"];\n22 [label=\"r211\"];\n84 [label=\"r011\"];\n268 [label=\"Pr0\"];\n313 [label=\"end\"];\n214 [label=\"end\"];\n202 [label=\"Pr0\"];\n148 [label=\"end\"];\n2 [label=\"r002\"];\n37 [label=\"Pr2\"];\n165 [label=\"r021\"];\n169 [label=\"r102\"];\n285 [label=\"Pr0\"];\n250 [label=\"r112\"];\n297 [label=\"end\"];\n186 [label=\"Pr0\"];\n231 [label=\"end\"];\n66 [label=\"end\"];\n120 [label=\"Pr2\"];\n21 [label=\"r210\"];\n83 [label=\"r010\"];\n171 [label=\"r111\"];\n269 [label=\"Pr0\"];\n314 [label=\"end\"];\n106 [label=\"r222\"];\n203 [label=\"Pr0\"];\n215 [label=\"end\"];\n149 [label=\"end\"];\n275 [label=\"Pr10\"];\n38 [label=\"Pr0\"];\n4 [label=\"r011\"];\n298 [label=\"end\"];\n286 [label=\"Pr0\"];\n89 [label=\"r100\"];\n187 [label=\"Pr0\"];\n232 [label=\"end\"];\n121 [label=\"Pr0\"];\n252 [label=\"r121\"];\n256 [label=\"r202\"];\n133 [label=\"end\"];\n67 [label=\"end\"];\n170 [label=\"r110\"];\n270 [label=\"Pr0\"];\n105 [label=\"r221\"];\n216 [label=\"end\"];\n204 [label=\"Pr0\"];\n150 [label=\"end\"];\n39 [label=\"Pr2\"];\n3 [label=\"r010\"];\n287 [label=\"Pr0\"];\n299 [label=\"end\"];\n233 [label=\"end\"];\n134 [label=\"end\"];\n188 [label=\"Pr2\"];\n68 [label=\"end\"];\n251 [label=\"r120\"];\n255 [label=\"r201\"];\n122 [label=\"Pr2\"];\n23 [label=\"r212\"];\n85 [label=\"r012\"];\n271 [label=\"Pr0\"];\n205 [label=\"Pr0\"];\n9 [label=\"r100\"];\n217 [label=\"end\"];\n176 [label=\"r200\"];\n151 [label=\"end\"];\n238 [label=\"r002\"];\n258 [label=\"r211\"];\n300 [label=\"end\"];\n288 [label=\"Pr0\"];\n189 [label=\"Pr0\"];\n234 [label=\"end\"];\n25 [label=\"r221\"];\n87 [label=\"r021\"];\n91 [label=\"r102\"];\n123 [label=\"Pr0\"];\n135 [label=\"end\"];\n69 [label=\"end\"];\n172 [label=\"r112\"];\n218 [label=\"end\"];\n272 [label=\"Pr2\"];\n107 [label=\"Pr0\"];\n152 [label=\"end\"];\n206 [label=\"Pr2\"];\n41 [label=\"Pr2\"];\n237 [label=\"r001\"];\n257 [label=\"r210\"];\n5 [label=\"r012\"];\n301 [label=\"end\"];\n190 [label=\"Pr0\"];\n235 [label=\"end\"];\n24 [label=\"r220\"];\n86 [label=\"r020\"];\n90 [label=\"r101\"];\n136 [label=\"end\"];\n124 [label=\"Pr0\"];\n70 [label=\"end\"];\n253 [label=\"r122\"];\n273 [label=\"Pr0\"];\n207 [label=\"Pr0\"];\n219 [label=\"end\"];\n7 [label=\"r021\"];\n11 [label=\"r102\"];\n108 [label=\"Pr0\"];\n153 [label=\"end\"];\n54 [label=\"end\"];\n174 [label=\"r121\"];\n178 [label=\"r202\"];\n42 [label=\"Pr0\"];\n302 [label=\"end\"];\n191 [label=\"Pr0\"];\n236 [label=\"end\"];\n125 [label=\"Pr0\"];\n137 [label=\"end\"];\n71 [label=\"end\"];\n92 [label=\"r110\"];\n197 [label=\"Pr10\"];\n239 [label=\"r010\"];\n220 [label=\"end\"];\n208 [label=\"Pr0\"];\n274 [label=\"Pr2\"];\n109 [label=\"Pr0\"];\n154 [label=\"end\"];\n6 [label=\"r020\"];\n10 [label=\"r101\"];\n43 [label=\"Pr2\"];\n173 [label=\"r120\"];\n177 [label=\"r201\"];\n55 [label=\"end\"];\n259 [label=\"r212\"];\n303 [label=\"end\"];\n192 [label=\"Pr0\"];\n138 [label=\"end\"];\n126 [label=\"Pr0\"];\n26 [label=\"r222\"];\n27 [label=\"Pr0\"];\n72 [label=\"end\"];\n88 [label=\"r022\"];\n209 [label=\"Pr0\"];\n221 [label=\"end\"];\n155 [label=\"end\"];\n56 [label=\"end\"];\n44 [label=\"Pr0\"];\n110 [label=\"Pr2\"];\n12 [label=\"r110\"];\n98 [label=\"r200\"];\n304 [label=\"end\"];\n193 [label=\"Pr0\"];\n127 [label=\"Pr0\"];\n261 [label=\"r221\"];\n139 [label=\"end\"];\n28 [label=\"Pr0\"];\n73 [label=\"end\"];\n159 [label=\"r001\"];\n94 [label=\"r112\"];\n179 [label=\"r210\"];\n241 [label=\"r012\"];\n222 [label=\"end\"];\n210 [label=\"Pr0\"];\n276 [label=\"Pr2\"];\n111 [label=\"Pr0\"];\n156 [label=\"end\"];\n45 [label=\"Pr0\"];\n8 [label=\"r022\"];\n57 [label=\"end\"];\n175 [label=\"r122\"];\n305 [label=\"end\"];\n140 [label=\"end\"];\n260 [label=\"r220\"];\n194 [label=\"Pr2\"];\n29 [label=\"Pr0\"];\n74 [label=\"end\"];\n128 [label=\"Pr2\"];\n93 [label=\"r111\"];\n277 [label=\"Pr0\"];\n240 [label=\"r011\"];\n289 [label=\"end\"];\n223 [label=\"end\"];\n112 [label=\"Pr0\"];\n157 [label=\"end\"];\n58 [label=\"end\"];\n46 [label=\"Pr0\"];\n14 [label=\"r112\"];\n161 [label=\"r010\"];\n306 [label=\"end\"];\n96 [label=\"r121\"];\n100 [label=\"r202\"];\n195 [label=\"Pr0\"];\n129 [label=\"Pr0\"];\n141 [label=\"end\"];\n30 [label=\"Pr0\"];\n75 [label=\"end\"];\n181 [label=\"r212\"];\n290 [label=\"end\"];\n224 [label=\"end\"];\n278 [label=\"Pr2\"];\n113 [label=\"Pr0\"];\n158 [label=\"end\"];\n47 [label=\"Pr0\"];\n242 [label=\"r020\"];\n246 [label=\"r101\"];\n59 [label=\"end\"];\n13 [label=\"r111\"];\n307 [label=\"end\"];\n95 [label=\"r120\"];\n99 [label=\"r201\"];\n142 [label=\"end\"];\n130 [label=\"Pr0\"];\n196 [label=\"Pr2\"];\n76 [label=\"end\"];\n262 [label=\"r222\"];\n31 [label=\"Pr2\"];\n160 [label=\"r002\"];\n279 [label=\"Pr0\"];\n180 [label=\"r211\"];\n291 [label=\"end\"];\n225 [label=\"end\"];\n114 [label=\"Pr0\"];\n60 [label=\"end\"];\n245 [label=\"r100\"];\n48 [label=\"Pr0\"];\n263 -> 289  [label=\"spin1:1.0\"];\n263 -> 289  [label=\"spin2:1.0\"];\n263 -> 289  [label=\"spin3:1.0\"];\n263 -> 289  [label=\"stop:1.0\"];\n308 -> 308  [label=\"spin1:1.0\"];\n308 -> 308  [label=\"spin2:1.0\"];\n308 -> 308  [label=\"spin3:1.0\"];\n308 -> 308  [label=\"stop:1.0\"];\n163 -> 250  [label=\"spin1:0.23\"];\n163 -> 259  [label=\"spin1:0.77\"];\n163 -> 244  [label=\"spin2:0.77\"];\n163 -> 241  [label=\"spin2:0.23\"];\n163 -> 240  [label=\"spin3:0.23\"];\n163 -> 241  [label=\"spin3:0.77\"];\n163 -> 5  [label=\"stop:0.5\"];\n163 -> 189  [label=\"stop:0.5\"];\n131 -> 157  [label=\"spin1:1.0\"];\n131 -> 157  [label=\"spin2:1.0\"];\n131 -> 157  [label=\"spin3:1.0\"];\n131 -> 157  [label=\"stop:1.0\"];\n143 -> 143  [label=\"spin1:1.0\"];\n143 -> 143  [label=\"spin2:1.0\"];\n143 -> 143  [label=\"spin3:1.0\"];\n143 -> 143  [label=\"stop:1.0\"];\n101 -> 170  [label=\"spin1:0.47\"];\n101 -> 179  [label=\"spin1:0.53\"];\n101 -> 179  [label=\"spin2:0.47\"];\n101 -> 182  [label=\"spin2:0.53\"];\n101 -> 180  [label=\"spin3:0.47\"];\n101 -> 181  [label=\"spin3:0.53\"];\n101 -> 21  [label=\"stop:0.5\"];\n101 -> 127  [label=\"stop:0.5\"];\n32 -> 59  [label=\"spin1:1.0\"];\n32 -> 59  [label=\"spin2:1.0\"];\n32 -> 59  [label=\"spin3:1.0\"];\n32 -> 59  [label=\"stop:1.0\"];\n77 -> 77  [label=\"spin1:1.0\"];\n77 -> 77  [label=\"spin2:1.0\"];\n77 -> 77  [label=\"spin3:1.0\"];\n77 -> 77  [label=\"stop:1.0\"];\n292 -> 292  [label=\"spin1:1.0\"];\n292 -> 292  [label=\"spin2:1.0\"];\n292 -> 292  [label=\"spin3:1.0\"];\n292 -> 292  [label=\"stop:1.0\"];\n280 -> 306  [label=\"spin1:1.0\"];\n280 -> 306  [label=\"spin2:1.0\"];\n280 -> 306  [label=\"spin3:1.0\"];\n280 -> 306  [label=\"stop:1.0\"];\n226 -> 226  [label=\"spin1:1.0\"];\n226 -> 226  [label=\"spin2:1.0\"];\n226 -> 226  [label=\"spin3:1.0\"];\n226 -> 226  [label=\"stop:1.0\"];\n15 -> 95  [label=\"spin1:0.7\"];\n15 -> 104  [label=\"spin1:0.3\"];\n15 -> 92  [label=\"spin2:0.7\"];\n15 -> 95  [label=\"spin2:0.3\"];\n15 -> 96  [label=\"spin3:0.7\"];\n15 -> 97  [label=\"spin3:0.3\"];\n15 -> 15  [label=\"stop:0.5\"];\n15 -> 42  [label=\"stop:0.5\"];\n19 -> 90  [label=\"spin1:0.7\"];\n19 -> 99  [label=\"spin1:0.3\"];\n19 -> 102  [label=\"spin2:0.7\"];\n19 -> 105  [label=\"spin2:0.3\"];\n19 -> 99  [label=\"spin3:0.7\"];\n19 -> 100  [label=\"spin3:0.3\"];\n19 -> 19  [label=\"stop:0.5\"];\n19 -> 46  [label=\"stop:0.5\"];\n81 -> 168  [label=\"spin1:0.47\"];\n81 -> 177  [label=\"spin1:0.53\"];\n81 -> 162  [label=\"spin2:0.47\"];\n81 -> 165  [label=\"spin2:0.53\"];\n81 -> 159  [label=\"spin3:0.47\"];\n81 -> 160  [label=\"spin3:0.53\"];\n81 -> 1  [label=\"stop:0.5\"];\n81 -> 107  [label=\"stop:0.5\"];\n115 -> 141  [label=\"spin1:1.0\"];\n115 -> 141  [label=\"spin2:1.0\"];\n115 -> 141  [label=\"spin3:1.0\"];\n115 -> 141  [label=\"stop:1.0\"];\n182 -> 260  [label=\"spin1:0.77\"];\n182 -> 251  [label=\"spin1:0.23\"];\n182 -> 257  [label=\"spin2:0.23\"];\n182 -> 260  [label=\"spin2:0.77\"];\n182 -> 261  [label=\"spin3:0.23\"];\n182 -> 262  [label=\"spin3:0.77\"];\n182 -> 24  [label=\"stop:0.5\"];\n182 -> 208  [label=\"stop:0.5\"];\n49 -> 76  [label=\"spin1:1.0\"];\n49 -> 76  [label=\"spin2:1.0\"];\n49 -> 76  [label=\"spin3:1.0\"];\n49 -> 76  [label=\"stop:1.0\"];\n244 -> 270  [label=\"spin1:1.0\"];\n244 -> 270  [label=\"spin2:1.0\"];\n244 -> 270  [label=\"spin3:1.0\"];\n244 -> 270  [label=\"stop:0.5\"];\n244 -> 88  [label=\"stop:0.5\"];\n61 -> 61  [label=\"spin1:1.0\"];\n61 -> 61  [label=\"spin2:1.0\"];\n61 -> 61  [label=\"spin3:1.0\"];\n61 -> 61  [label=\"stop:1.0\"];\n264 -> 290  [label=\"spin1:1.0\"];\n264 -> 290  [label=\"spin2:1.0\"];\n264 -> 290  [label=\"spin3:1.0\"];\n264 -> 290  [label=\"stop:1.0\"];\n309 -> 309  [label=\"spin1:1.0\"];\n309 -> 309  [label=\"spin2:1.0\"];\n309 -> 309  [label=\"spin3:1.0\"];\n309 -> 309  [label=\"stop:1.0\"];\n162 -> 249  [label=\"spin1:0.23\"];\n162 -> 258  [label=\"spin1:0.77\"];\n162 -> 243  [label=\"spin2:0.77\"];\n162 -> 240  [label=\"spin2:0.23\"];\n162 -> 240  [label=\"spin3:0.23\"];\n162 -> 241  [label=\"spin3:0.77\"];\n162 -> 4  [label=\"stop:0.5\"];\n162 -> 188  [label=\"stop:0.5\"];\n97 -> 175  [label=\"spin1:0.47\"];\n97 -> 184  [label=\"spin1:0.53\"];\n97 -> 172  [label=\"spin2:0.47\"];\n97 -> 175  [label=\"spin2:0.53\"];\n97 -> 174  [label=\"spin3:0.47\"];\n97 -> 175  [label=\"spin3:0.53\"];\n97 -> 17  [label=\"stop:0.5\"];\n97 -> 123  [label=\"stop:0.5\"];\n144 -> 144  [label=\"spin1:1.0\"];\n144 -> 144  [label=\"spin2:1.0\"];\n144 -> 144  [label=\"spin3:1.0\"];\n144 -> 144  [label=\"stop:1.0\"];\n132 -> 158  [label=\"spin1:1.0\"];\n132 -> 158  [label=\"spin2:1.0\"];\n132 -> 158  [label=\"spin3:1.0\"];\n132 -> 158  [label=\"stop:1.0\"];\n198 -> 224  [label=\"spin1:1.0\"];\n198 -> 224  [label=\"spin2:1.0\"];\n198 -> 224  [label=\"spin3:1.0\"];\n198 -> 224  [label=\"stop:1.0\"];\n33 -> 60  [label=\"spin1:1.0\"];\n33 -> 60  [label=\"spin2:1.0\"];\n33 -> 60  [label=\"spin3:1.0\"];\n33 -> 60  [label=\"stop:1.0\"];\n78 -> 78  [label=\"spin1:1.0\"];\n78 -> 78  [label=\"spin2:1.0\"];\n78 -> 78  [label=\"spin3:1.0\"];\n78 -> 78  [label=\"stop:1.0\"];\n119 -> 145  [label=\"spin1:1.0\"];\n119 -> 145  [label=\"spin2:1.0\"];\n119 -> 145  [label=\"spin3:1.0\"];\n119 -> 145  [label=\"stop:1.0\"];\n281 -> 307  [label=\"spin1:1.0\"];\n281 -> 307  [label=\"spin2:1.0\"];\n281 -> 307  [label=\"spin3:1.0\"];\n281 -> 307  [label=\"stop:1.0\"];\n293 -> 293  [label=\"spin1:1.0\"];\n293 -> 293  [label=\"spin2:1.0\"];\n293 -> 293  [label=\"spin3:1.0\"];\n293 -> 293  [label=\"stop:1.0\"];\n227 -> 227  [label=\"spin1:1.0\"];\n227 -> 227  [label=\"spin2:1.0\"];\n227 -> 227  [label=\"spin3:1.0\"];\n227 -> 227  [label=\"stop:1.0\"];\n18 -> 89  [label=\"spin1:0.7\"];\n18 -> 98  [label=\"spin1:0.3\"];\n18 -> 101  [label=\"spin2:0.7\"];\n18 -> 104  [label=\"spin2:0.3\"];\n18 -> 99  [label=\"spin3:0.7\"];\n18 -> 100  [label=\"spin3:0.3\"];\n18 -> 18  [label=\"stop:0.5\"];\n18 -> 45  [label=\"stop:0.5\"];\n62 -> 62  [label=\"spin1:1.0\"];\n62 -> 62  [label=\"spin2:1.0\"];\n62 -> 62  [label=\"spin3:1.0\"];\n62 -> 62  [label=\"stop:1.0\"];\n50 -> 77  [label=\"spin1:1.0\"];\n50 -> 77  [label=\"spin2:1.0\"];\n50 -> 77  [label=\"spin3:1.0\"];\n50 -> 77  [label=\"stop:1.0\"];\n116 -> 142  [label=\"spin1:1.0\"];\n116 -> 142  [label=\"spin2:1.0\"];\n116 -> 142  [label=\"spin3:1.0\"];\n116 -> 142  [label=\"stop:1.0\"];\n243 -> 269  [label=\"spin1:1.0\"];\n243 -> 269  [label=\"spin2:1.0\"];\n243 -> 269  [label=\"spin3:1.0\"];\n243 -> 87  [label=\"stop:0.5\"];\n243 -> 269  [label=\"stop:0.5\"];\n247 -> 273  [label=\"spin1:1.0\"];\n247 -> 273  [label=\"spin2:1.0\"];\n247 -> 273  [label=\"spin3:1.0\"];\n247 -> 91  [label=\"stop:0.5\"];\n247 -> 273  [label=\"stop:0.5\"];\n265 -> 291  [label=\"spin1:1.0\"];\n265 -> 291  [label=\"spin2:1.0\"];\n265 -> 291  [label=\"spin3:1.0\"];\n265 -> 291  [label=\"stop:1.0\"];\n310 -> 310  [label=\"spin1:1.0\"];\n310 -> 310  [label=\"spin2:1.0\"];\n310 -> 310  [label=\"spin3:1.0\"];\n310 -> 310  [label=\"stop:1.0\"];\n199 -> 225  [label=\"spin1:1.0\"];\n199 -> 225  [label=\"spin2:1.0\"];\n199 -> 225  [label=\"spin3:1.0\"];\n199 -> 225  [label=\"stop:1.0\"];\n211 -> 211  [label=\"spin1:1.0\"];\n211 -> 211  [label=\"spin2:1.0\"];\n211 -> 211  [label=\"spin3:1.0\"];\n211 -> 211  [label=\"stop:1.0\"];\n1 -> 90  [label=\"spin1:0.7\"];\n1 -> 99  [label=\"spin1:0.3\"];\n1 -> 84  [label=\"spin2:0.7\"];\n1 -> 87  [label=\"spin2:0.3\"];\n1 -> 81  [label=\"spin3:0.7\"];\n1 -> 82  [label=\"spin3:0.3\"];\n1 -> 1  [label=\"stop:0.5\"];\n1 -> 28  [label=\"stop:0.5\"];\n145 -> 145  [label=\"spin1:1.0\"];\n145 -> 145  [label=\"spin2:1.0\"];\n145 -> 145  [label=\"spin3:1.0\"];\n145 -> 145  [label=\"stop:1.0\"];\n164 -> 251  [label=\"spin1:0.23\"];\n164 -> 260  [label=\"spin1:0.77\"];\n164 -> 242  [label=\"spin2:0.77\"];\n164 -> 239  [label=\"spin2:0.23\"];\n164 -> 243  [label=\"spin3:0.23\"];\n164 -> 244  [label=\"spin3:0.77\"];\n164 -> 6  [label=\"stop:0.5\"];\n164 -> 190  [label=\"stop:0.5\"];\n168 -> 246  [label=\"spin1:0.23\"];\n168 -> 255  [label=\"spin1:0.77\"];\n168 -> 249  [label=\"spin2:0.23\"];\n168 -> 252  [label=\"spin2:0.77\"];\n168 -> 246  [label=\"spin3:0.23\"];\n168 -> 247  [label=\"spin3:0.77\"];\n168 -> 10  [label=\"stop:0.5\"];\n168 -> 194  [label=\"stop:0.5\"];\n34 -> 61  [label=\"spin1:1.0\"];\n34 -> 61  [label=\"spin2:1.0\"];\n34 -> 61  [label=\"spin3:1.0\"];\n34 -> 61  [label=\"stop:1.0\"];\n79 -> 79  [label=\"spin1:1.0\"];\n79 -> 79  [label=\"spin2:1.0\"];\n79 -> 79  [label=\"spin3:1.0\"];\n79 -> 79  [label=\"stop:1.0\"];\n103 -> 172  [label=\"spin1:0.47\"];\n103 -> 181  [label=\"spin1:0.53\"];\n103 -> 181  [label=\"spin2:0.47\"];\n103 -> 184  [label=\"spin2:0.53\"];\n103 -> 180  [label=\"spin3:0.47\"];\n103 -> 181  [label=\"spin3:0.53\"];\n103 -> 129  [label=\"stop:0.5\"];\n103 -> 23  [label=\"stop:0.5\"];\n249 -> 275  [label=\"spin1:1.0\"];\n249 -> 275  [label=\"spin2:1.0\"];\n249 -> 275  [label=\"spin3:1.0\"];\n249 -> 93  [label=\"stop:0.5\"];\n249 -> 275  [label=\"stop:0.5\"];\n294 -> 294  [label=\"spin1:1.0\"];\n294 -> 294  [label=\"spin2:1.0\"];\n294 -> 294  [label=\"spin3:1.0\"];\n294 -> 294  [label=\"stop:1.0\"];\n282 -> 308  [label=\"spin1:1.0\"];\n282 -> 308  [label=\"spin2:1.0\"];\n282 -> 308  [label=\"spin3:1.0\"];\n282 -> 308  [label=\"stop:1.0\"];\n228 -> 228  [label=\"spin1:1.0\"];\n228 -> 228  [label=\"spin2:1.0\"];\n228 -> 228  [label=\"spin3:1.0\"];\n228 -> 228  [label=\"stop:1.0\"];\n117 -> 143  [label=\"spin1:1.0\"];\n117 -> 143  [label=\"spin2:1.0\"];\n117 -> 143  [label=\"spin3:1.0\"];\n117 -> 143  [label=\"stop:1.0\"];\n17 -> 97  [label=\"spin1:0.7\"];\n17 -> 106  [label=\"spin1:0.3\"];\n17 -> 94  [label=\"spin2:0.7\"];\n17 -> 97  [label=\"spin2:0.3\"];\n17 -> 96  [label=\"spin3:0.7\"];\n17 -> 97  [label=\"spin3:0.3\"];\n17 -> 17  [label=\"stop:0.5\"];\n17 -> 44  [label=\"stop:0.5\"];\n51 -> 78  [label=\"spin1:1.0\"];\n51 -> 78  [label=\"spin2:1.0\"];\n51 -> 78  [label=\"spin3:1.0\"];\n51 -> 78  [label=\"stop:1.0\"];\n184 -> 262  [label=\"spin1:0.77\"];\n184 -> 253  [label=\"spin1:0.23\"];\n184 -> 259  [label=\"spin2:0.23\"];\n184 -> 262  [label=\"spin2:0.77\"];\n184 -> 261  [label=\"spin3:0.23\"];\n184 -> 262  [label=\"spin3:0.77\"];\n184 -> 210  [label=\"stop:0.5\"];\n184 -> 26  [label=\"stop:0.5\"];\n63 -> 63  [label=\"spin1:1.0\"];\n63 -> 63  [label=\"spin2:1.0\"];\n63 -> 63  [label=\"spin3:1.0\"];\n63 -> 63  [label=\"stop:1.0\"];\n40 -> 67  [label=\"spin1:1.0\"];\n40 -> 67  [label=\"spin2:1.0\"];\n40 -> 67  [label=\"spin3:1.0\"];\n40 -> 67  [label=\"stop:1.0\"];\n311 -> 311  [label=\"spin1:1.0\"];\n311 -> 311  [label=\"spin2:1.0\"];\n311 -> 311  [label=\"spin3:1.0\"];\n311 -> 311  [label=\"stop:1.0\"];\n212 -> 212  [label=\"spin1:1.0\"];\n212 -> 212  [label=\"spin2:1.0\"];\n212 -> 212  [label=\"spin3:1.0\"];\n212 -> 212  [label=\"stop:1.0\"];\n266 -> 292  [label=\"spin1:1.0\"];\n266 -> 292  [label=\"spin2:1.0\"];\n266 -> 292  [label=\"spin3:1.0\"];\n266 -> 292  [label=\"stop:1.0\"];\n146 -> 146  [label=\"spin1:1.0\"];\n146 -> 146  [label=\"spin2:1.0\"];\n146 -> 146  [label=\"spin3:1.0\"];\n146 -> 146  [label=\"stop:1.0\"];\n200 -> 226  [label=\"spin1:1.0\"];\n200 -> 226  [label=\"spin2:1.0\"];\n200 -> 226  [label=\"spin3:1.0\"];\n200 -> 226  [label=\"stop:1.0\"];\n0 -> 89  [label=\"spin1:0.7\"];\n0 -> 98  [label=\"spin1:0.3\"];\n0 -> 83  [label=\"spin2:0.7\"];\n0 -> 86  [label=\"spin2:0.3\"];\n0 -> 81  [label=\"spin3:0.7\"];\n0 -> 82  [label=\"spin3:0.3\"];\n0 -> 0  [label=\"stop:0.5\"];\n0 -> 27  [label=\"stop:0.5\"];\n35 -> 62  [label=\"spin1:1.0\"];\n35 -> 62  [label=\"spin2:1.0\"];\n35 -> 62  [label=\"spin3:1.0\"];\n35 -> 62  [label=\"stop:1.0\"];\n80 -> 80  [label=\"spin1:1.0\"];\n80 -> 80  [label=\"spin2:1.0\"];\n80 -> 80  [label=\"spin3:1.0\"];\n80 -> 80  [label=\"stop:1.0\"];\n167 -> 245  [label=\"spin1:0.23\"];\n167 -> 254  [label=\"spin1:0.77\"];\n167 -> 248  [label=\"spin2:0.23\"];\n167 -> 251  [label=\"spin2:0.77\"];\n167 -> 246  [label=\"spin3:0.23\"];\n167 -> 247  [label=\"spin3:0.77\"];\n167 -> 9  [label=\"stop:0.5\"];\n167 -> 193  [label=\"stop:0.5\"];\n102 -> 171  [label=\"spin1:0.47\"];\n102 -> 180  [label=\"spin1:0.53\"];\n102 -> 180  [label=\"spin2:0.47\"];\n102 -> 183  [label=\"spin2:0.53\"];\n102 -> 180  [label=\"spin3:0.47\"];\n102 -> 181  [label=\"spin3:0.53\"];\n102 -> 128  [label=\"stop:0.5\"];\n102 -> 22  [label=\"stop:0.5\"];\n248 -> 274  [label=\"spin1:1.0\"];\n248 -> 274  [label=\"spin2:1.0\"];\n248 -> 274  [label=\"spin3:1.0\"];\n248 -> 92  [label=\"stop:0.5\"];\n248 -> 274  [label=\"stop:0.5\"];\n283 -> 309  [label=\"spin1:1.0\"];\n283 -> 309  [label=\"spin2:1.0\"];\n283 -> 309  [label=\"spin3:1.0\"];\n283 -> 309  [label=\"stop:1.0\"];\n295 -> 295  [label=\"spin1:1.0\"];\n295 -> 295  [label=\"spin2:1.0\"];\n295 -> 295  [label=\"spin3:1.0\"];\n295 -> 295  [label=\"stop:1.0\"];\n229 -> 229  [label=\"spin1:1.0\"];\n229 -> 229  [label=\"spin2:1.0\"];\n229 -> 229  [label=\"spin3:1.0\"];\n229 -> 229  [label=\"stop:1.0\"];\n16 -> 96  [label=\"spin1:0.7\"];\n16 -> 105  [label=\"spin1:0.3\"];\n16 -> 93  [label=\"spin2:0.7\"];\n16 -> 96  [label=\"spin2:0.3\"];\n16 -> 96  [label=\"spin3:0.7\"];\n16 -> 97  [label=\"spin3:0.3\"];\n16 -> 16  [label=\"stop:0.5\"];\n16 -> 43  [label=\"stop:0.5\"];\n20 -> 91  [label=\"spin1:0.7\"];\n20 -> 100  [label=\"spin1:0.3\"];\n20 -> 103  [label=\"spin2:0.7\"];\n20 -> 106  [label=\"spin2:0.3\"];\n20 -> 99  [label=\"spin3:0.7\"];\n20 -> 100  [label=\"spin3:0.3\"];\n20 -> 20  [label=\"stop:0.5\"];\n20 -> 47  [label=\"stop:0.5\"];\n64 -> 64  [label=\"spin1:1.0\"];\n64 -> 64  [label=\"spin2:1.0\"];\n64 -> 64  [label=\"spin3:1.0\"];\n64 -> 64  [label=\"stop:1.0\"];\n82 -> 169  [label=\"spin1:0.47\"];\n82 -> 178  [label=\"spin1:0.53\"];\n82 -> 163  [label=\"spin2:0.47\"];\n82 -> 166  [label=\"spin2:0.53\"];\n82 -> 159  [label=\"spin3:0.47\"];\n82 -> 160  [label=\"spin3:0.53\"];\n82 -> 2  [label=\"stop:0.5\"];\n82 -> 108  [label=\"stop:0.5\"];\n52 -> 79  [label=\"spin1:1.0\"];\n52 -> 79  [label=\"spin2:1.0\"];\n52 -> 79  [label=\"spin3:1.0\"];\n52 -> 79  [label=\"stop:1.0\"];\n118 -> 144  [label=\"spin1:1.0\"];\n118 -> 144  [label=\"spin2:1.0\"];\n118 -> 144  [label=\"spin3:1.0\"];\n118 -> 144  [label=\"stop:1.0\"];\n183 -> 261  [label=\"spin1:0.77\"];\n183 -> 252  [label=\"spin1:0.23\"];\n183 -> 258  [label=\"spin2:0.23\"];\n183 -> 261  [label=\"spin2:0.77\"];\n183 -> 261  [label=\"spin3:0.23\"];\n183 -> 262  [label=\"spin3:0.77\"];\n183 -> 25  [label=\"stop:0.5\"];\n183 -> 209  [label=\"stop:0.5\"];\n104 -> 173  [label=\"spin1:0.47\"];\n104 -> 182  [label=\"spin1:0.53\"];\n104 -> 179  [label=\"spin2:0.47\"];\n104 -> 182  [label=\"spin2:0.53\"];\n104 -> 183  [label=\"spin3:0.47\"];\n104 -> 184  [label=\"spin3:0.53\"];\n104 -> 130  [label=\"stop:0.5\"];\n104 -> 24  [label=\"stop:0.5\"];\n267 -> 293  [label=\"spin1:1.0\"];\n267 -> 293  [label=\"spin2:1.0\"];\n267 -> 293  [label=\"spin3:1.0\"];\n267 -> 293  [label=\"stop:1.0\"];\n312 -> 312  [label=\"spin1:1.0\"];\n312 -> 312  [label=\"spin2:1.0\"];\n312 -> 312  [label=\"spin3:1.0\"];\n312 -> 312  [label=\"stop:1.0\"];\n201 -> 227  [label=\"spin1:1.0\"];\n201 -> 227  [label=\"spin2:1.0\"];\n201 -> 227  [label=\"spin3:1.0\"];\n201 -> 227  [label=\"stop:1.0\"];\n213 -> 213  [label=\"spin1:1.0\"];\n213 -> 213  [label=\"spin2:1.0\"];\n213 -> 213  [label=\"spin3:1.0\"];\n213 -> 213  [label=\"stop:1.0\"];\n147 -> 147  [label=\"spin1:1.0\"];\n147 -> 147  [label=\"spin2:1.0\"];\n147 -> 147  [label=\"spin3:1.0\"];\n147 -> 147  [label=\"stop:1.0\"];\n36 -> 63  [label=\"spin1:1.0\"];\n36 -> 63  [label=\"spin2:1.0\"];\n36 -> 63  [label=\"spin3:1.0\"];\n36 -> 63  [label=\"stop:1.0\"];\n166 -> 253  [label=\"spin1:0.23\"];\n166 -> 262  [label=\"spin1:0.77\"];\n166 -> 244  [label=\"spin2:0.77\"];\n166 -> 241  [label=\"spin2:0.23\"];\n166 -> 243  [label=\"spin3:0.23\"];\n166 -> 244  [label=\"spin3:0.77\"];\n166 -> 8  [label=\"stop:0.5\"];\n166 -> 192  [label=\"stop:0.5\"];\n296 -> 296  [label=\"spin1:1.0\"];\n296 -> 296  [label=\"spin2:1.0\"];\n296 -> 296  [label=\"spin3:1.0\"];\n296 -> 296  [label=\"stop:1.0\"];\n185 -> 211  [label=\"spin1:1.0\"];\n185 -> 211  [label=\"spin2:1.0\"];\n185 -> 211  [label=\"spin3:1.0\"];\n185 -> 211  [label=\"stop:1.0\"];\n230 -> 230  [label=\"spin1:1.0\"];\n230 -> 230  [label=\"spin2:1.0\"];\n230 -> 230  [label=\"spin3:1.0\"];\n230 -> 230  [label=\"stop:1.0\"];\n284 -> 310  [label=\"spin1:1.0\"];\n284 -> 310  [label=\"spin2:1.0\"];\n284 -> 310  [label=\"spin3:1.0\"];\n284 -> 310  [label=\"stop:1.0\"];\n254 -> 280  [label=\"spin1:1.0\"];\n254 -> 280  [label=\"spin2:1.0\"];\n254 -> 280  [label=\"spin3:1.0\"];\n254 -> 98  [label=\"stop:0.5\"];\n254 -> 280  [label=\"stop:0.5\"];\n53 -> 80  [label=\"spin1:1.0\"];\n53 -> 80  [label=\"spin2:1.0\"];\n53 -> 80  [label=\"spin3:1.0\"];\n53 -> 80  [label=\"stop:1.0\"];\n65 -> 65  [label=\"spin1:1.0\"];\n65 -> 65  [label=\"spin2:1.0\"];\n65 -> 65  [label=\"spin3:1.0\"];\n65 -> 65  [label=\"stop:1.0\"];\n22 -> 93  [label=\"spin1:0.7\"];\n22 -> 102  [label=\"spin1:0.3\"];\n22 -> 102  [label=\"spin2:0.7\"];\n22 -> 105  [label=\"spin2:0.3\"];\n22 -> 102  [label=\"spin3:0.7\"];\n22 -> 103  [label=\"spin3:0.3\"];\n22 -> 22  [label=\"stop:0.5\"];\n22 -> 49  [label=\"stop:0.5\"];\n84 -> 171  [label=\"spin1:0.47\"];\n84 -> 180  [label=\"spin1:0.53\"];\n84 -> 162  [label=\"spin2:0.47\"];\n84 -> 165  [label=\"spin2:0.53\"];\n84 -> 162  [label=\"spin3:0.47\"];\n84 -> 163  [label=\"spin3:0.53\"];\n84 -> 4  [label=\"stop:0.5\"];\n84 -> 110  [label=\"stop:0.5\"];\n268 -> 294  [label=\"spin1:1.0\"];\n268 -> 294  [label=\"spin2:1.0\"];\n268 -> 294  [label=\"spin3:1.0\"];\n268 -> 294  [label=\"stop:1.0\"];\n313 -> 313  [label=\"spin1:1.0\"];\n313 -> 313  [label=\"spin2:1.0\"];\n313 -> 313  [label=\"spin3:1.0\"];\n313 -> 313  [label=\"stop:1.0\"];\n214 -> 214  [label=\"spin1:1.0\"];\n214 -> 214  [label=\"spin2:1.0\"];\n214 -> 214  [label=\"spin3:1.0\"];\n214 -> 214  [label=\"stop:1.0\"];\n202 -> 228  [label=\"spin1:1.0\"];\n202 -> 228  [label=\"spin2:1.0\"];\n202 -> 228  [label=\"spin3:1.0\"];\n202 -> 228  [label=\"stop:1.0\"];\n148 -> 148  [label=\"spin1:1.0\"];\n148 -> 148  [label=\"spin2:1.0\"];\n148 -> 148  [label=\"spin3:1.0\"];\n148 -> 148  [label=\"stop:1.0\"];\n2 -> 91  [label=\"spin1:0.7\"];\n2 -> 100  [label=\"spin1:0.3\"];\n2 -> 85  [label=\"spin2:0.7\"];\n2 -> 88  [label=\"spin2:0.3\"];\n2 -> 81  [label=\"spin3:0.7\"];\n2 -> 82  [label=\"spin3:0.3\"];\n2 -> 2  [label=\"stop:0.5\"];\n2 -> 29  [label=\"stop:0.5\"];\n37 -> 64  [label=\"spin1:1.0\"];\n37 -> 64  [label=\"spin2:1.0\"];\n37 -> 64  [label=\"spin3:1.0\"];\n37 -> 64  [label=\"stop:1.0\"];\n165 -> 252  [label=\"spin1:0.23\"];\n165 -> 261  [label=\"spin1:0.77\"];\n165 -> 243  [label=\"spin2:0.77\"];\n165 -> 240  [label=\"spin2:0.23\"];\n165 -> 243  [label=\"spin3:0.23\"];\n165 -> 244  [label=\"spin3:0.77\"];\n165 -> 7  [label=\"stop:0.5\"];\n165 -> 191  [label=\"stop:0.5\"];\n169 -> 247  [label=\"spin1:0.23\"];\n169 -> 256  [label=\"spin1:0.77\"];\n169 -> 250  [label=\"spin2:0.23\"];\n169 -> 253  [label=\"spin2:0.77\"];\n169 -> 246  [label=\"spin3:0.23\"];\n169 -> 247  [label=\"spin3:0.77\"];\n169 -> 195  [label=\"stop:0.5\"];\n169 -> 11  [label=\"stop:0.5\"];\n285 -> 311  [label=\"spin1:1.0\"];\n285 -> 311  [label=\"spin2:1.0\"];\n285 -> 311  [label=\"spin3:1.0\"];\n285 -> 311  [label=\"stop:1.0\"];\n250 -> 276  [label=\"spin1:1.0\"];\n250 -> 276  [label=\"spin2:1.0\"];\n250 -> 276  [label=\"spin3:1.0\"];\n250 -> 94  [label=\"stop:0.5\"];\n250 -> 276  [label=\"stop:0.5\"];\n297 -> 297  [label=\"spin1:1.0\"];\n297 -> 297  [label=\"spin2:1.0\"];\n297 -> 297  [label=\"spin3:1.0\"];\n297 -> 297  [label=\"stop:1.0\"];\n186 -> 212  [label=\"spin1:1.0\"];\n186 -> 212  [label=\"spin2:1.0\"];\n186 -> 212  [label=\"spin3:1.0\"];\n186 -> 212  [label=\"stop:1.0\"];\n231 -> 231  [label=\"spin1:1.0\"];\n231 -> 231  [label=\"spin2:1.0\"];\n231 -> 231  [label=\"spin3:1.0\"];\n231 -> 231  [label=\"stop:1.0\"];\n66 -> 66  [label=\"spin1:1.0\"];\n66 -> 66  [label=\"spin2:1.0\"];\n66 -> 66  [label=\"spin3:1.0\"];\n66 -> 66  [label=\"stop:1.0\"];\n120 -> 146  [label=\"spin1:1.0\"];\n120 -> 146  [label=\"spin2:1.0\"];\n120 -> 146  [label=\"spin3:1.0\"];\n120 -> 146  [label=\"stop:1.0\"];\n21 -> 92  [label=\"spin1:0.7\"];\n21 -> 101  [label=\"spin1:0.3\"];\n21 -> 101  [label=\"spin2:0.7\"];\n21 -> 104  [label=\"spin2:0.3\"];\n21 -> 102  [label=\"spin3:0.7\"];\n21 -> 103  [label=\"spin3:0.3\"];\n21 -> 21  [label=\"stop:0.5\"];\n21 -> 48  [label=\"stop:0.5\"];\n83 -> 170  [label=\"spin1:0.47\"];\n83 -> 179  [label=\"spin1:0.53\"];\n83 -> 161  [label=\"spin2:0.47\"];\n83 -> 164  [label=\"spin2:0.53\"];\n83 -> 162  [label=\"spin3:0.47\"];\n83 -> 163  [label=\"spin3:0.53\"];\n83 -> 3  [label=\"stop:0.5\"];\n83 -> 109  [label=\"stop:0.5\"];\n171 -> 249  [label=\"spin1:0.23\"];\n171 -> 258  [label=\"spin1:0.77\"];\n171 -> 249  [label=\"spin2:0.23\"];\n171 -> 252  [label=\"spin2:0.77\"];\n171 -> 249  [label=\"spin3:0.23\"];\n171 -> 250  [label=\"spin3:0.77\"];\n171 -> 197  [label=\"stop:0.5\"];\n171 -> 13  [label=\"stop:0.5\"];\n269 -> 295  [label=\"spin1:1.0\"];\n269 -> 295  [label=\"spin2:1.0\"];\n269 -> 295  [label=\"spin3:1.0\"];\n269 -> 295  [label=\"stop:1.0\"];\n314 -> 314  [label=\"spin1:1.0\"];\n314 -> 314  [label=\"spin2:1.0\"];\n314 -> 314  [label=\"spin3:1.0\"];\n314 -> 314  [label=\"stop:1.0\"];\n106 -> 175  [label=\"spin1:0.47\"];\n106 -> 184  [label=\"spin1:0.53\"];\n106 -> 181  [label=\"spin2:0.47\"];\n106 -> 184  [label=\"spin2:0.53\"];\n106 -> 183  [label=\"spin3:0.47\"];\n106 -> 184  [label=\"spin3:0.53\"];\n106 -> 26  [label=\"stop:0.5\"];\n106 -> 132  [label=\"stop:0.5\"];\n203 -> 229  [label=\"spin1:1.0\"];\n203 -> 229  [label=\"spin2:1.0\"];\n203 -> 229  [label=\"spin3:1.0\"];\n203 -> 229  [label=\"stop:1.0\"];\n215 -> 215  [label=\"spin1:1.0\"];\n215 -> 215  [label=\"spin2:1.0\"];\n215 -> 215  [label=\"spin3:1.0\"];\n215 -> 215  [label=\"stop:1.0\"];\n149 -> 149  [label=\"spin1:1.0\"];\n149 -> 149  [label=\"spin2:1.0\"];\n149 -> 149  [label=\"spin3:1.0\"];\n149 -> 149  [label=\"stop:1.0\"];\n275 -> 301  [label=\"spin1:1.0\"];\n275 -> 301  [label=\"spin2:1.0\"];\n275 -> 301  [label=\"spin3:1.0\"];\n275 -> 301  [label=\"stop:1.0\"];\n38 -> 65  [label=\"spin1:1.0\"];\n38 -> 65  [label=\"spin2:1.0\"];\n38 -> 65  [label=\"spin3:1.0\"];\n38 -> 65  [label=\"stop:1.0\"];\n4 -> 93  [label=\"spin1:0.7\"];\n4 -> 102  [label=\"spin1:0.3\"];\n4 -> 84  [label=\"spin2:0.7\"];\n4 -> 87  [label=\"spin2:0.3\"];\n4 -> 84  [label=\"spin3:0.7\"];\n4 -> 85  [label=\"spin3:0.3\"];\n4 -> 4  [label=\"stop:0.5\"];\n4 -> 31  [label=\"stop:0.5\"];\n298 -> 298  [label=\"spin1:1.0\"];\n298 -> 298  [label=\"spin2:1.0\"];\n298 -> 298  [label=\"spin3:1.0\"];\n298 -> 298  [label=\"stop:1.0\"];\n286 -> 312  [label=\"spin1:1.0\"];\n286 -> 312  [label=\"spin2:1.0\"];\n286 -> 312  [label=\"spin3:1.0\"];\n286 -> 312  [label=\"stop:1.0\"];\n89 -> 167  [label=\"spin1:0.47\"];\n89 -> 176  [label=\"spin1:0.53\"];\n89 -> 173  [label=\"spin2:0.53\"];\n89 -> 170  [label=\"spin2:0.47\"];\n89 -> 168  [label=\"spin3:0.47\"];\n89 -> 169  [label=\"spin3:0.53\"];\n89 -> 9  [label=\"stop:0.5\"];\n89 -> 115  [label=\"stop:0.5\"];\n187 -> 213  [label=\"spin1:1.0\"];\n187 -> 213  [label=\"spin2:1.0\"];\n187 -> 213  [label=\"spin3:1.0\"];\n187 -> 213  [label=\"stop:1.0\"];\n232 -> 232  [label=\"spin1:1.0\"];\n232 -> 232  [label=\"spin2:1.0\"];\n232 -> 232  [label=\"spin3:1.0\"];\n232 -> 232  [label=\"stop:1.0\"];\n121 -> 147  [label=\"spin1:1.0\"];\n121 -> 147  [label=\"spin2:1.0\"];\n121 -> 147  [label=\"spin3:1.0\"];\n121 -> 147  [label=\"stop:1.0\"];\n252 -> 278  [label=\"spin1:1.0\"];\n252 -> 278  [label=\"spin2:1.0\"];\n252 -> 278  [label=\"spin3:1.0\"];\n252 -> 96  [label=\"stop:0.5\"];\n252 -> 278  [label=\"stop:0.5\"];\n256 -> 282  [label=\"spin1:1.0\"];\n256 -> 282  [label=\"spin2:1.0\"];\n256 -> 282  [label=\"spin3:1.0\"];\n256 -> 100  [label=\"stop:0.5\"];\n256 -> 282  [label=\"stop:0.5\"];\n133 -> 133  [label=\"spin1:1.0\"];\n133 -> 133  [label=\"spin2:1.0\"];\n133 -> 133  [label=\"spin3:1.0\"];\n133 -> 133  [label=\"stop:1.0\"];\n67 -> 67  [label=\"spin1:1.0\"];\n67 -> 67  [label=\"spin2:1.0\"];\n67 -> 67  [label=\"spin3:1.0\"];\n67 -> 67  [label=\"stop:1.0\"];\n170 -> 248  [label=\"spin1:0.23\"];\n170 -> 257  [label=\"spin1:0.77\"];\n170 -> 248  [label=\"spin2:0.23\"];\n170 -> 251  [label=\"spin2:0.77\"];\n170 -> 249  [label=\"spin3:0.23\"];\n170 -> 250  [label=\"spin3:0.77\"];\n170 -> 12  [label=\"stop:0.5\"];\n170 -> 196  [label=\"stop:0.5\"];\n270 -> 296  [label=\"spin1:1.0\"];\n270 -> 296  [label=\"spin2:1.0\"];\n270 -> 296  [label=\"spin3:1.0\"];\n270 -> 296  [label=\"stop:1.0\"];\n105 -> 174  [label=\"spin1:0.47\"];\n105 -> 183  [label=\"spin1:0.53\"];\n105 -> 180  [label=\"spin2:0.47\"];\n105 -> 183  [label=\"spin2:0.53\"];\n105 -> 183  [label=\"spin3:0.47\"];\n105 -> 184  [label=\"spin3:0.53\"];\n105 -> 25  [label=\"stop:0.5\"];\n105 -> 131  [label=\"stop:0.5\"];\n216 -> 216  [label=\"spin1:1.0\"];\n216 -> 216  [label=\"spin2:1.0\"];\n216 -> 216  [label=\"spin3:1.0\"];\n216 -> 216  [label=\"stop:1.0\"];\n204 -> 230  [label=\"spin1:1.0\"];\n204 -> 230  [label=\"spin2:1.0\"];\n204 -> 230  [label=\"spin3:1.0\"];\n204 -> 230  [label=\"stop:1.0\"];\n150 -> 150  [label=\"spin1:1.0\"];\n150 -> 150  [label=\"spin2:1.0\"];\n150 -> 150  [label=\"spin3:1.0\"];\n150 -> 150  [label=\"stop:1.0\"];\n39 -> 66  [label=\"spin1:1.0\"];\n39 -> 66  [label=\"spin2:1.0\"];\n39 -> 66  [label=\"spin3:1.0\"];\n39 -> 66  [label=\"stop:1.0\"];\n3 -> 92  [label=\"spin1:0.7\"];\n3 -> 101  [label=\"spin1:0.3\"];\n3 -> 83  [label=\"spin2:0.7\"];\n3 -> 86  [label=\"spin2:0.3\"];\n3 -> 84  [label=\"spin3:0.7\"];\n3 -> 85  [label=\"spin3:0.3\"];\n3 -> 3  [label=\"stop:0.5\"];\n3 -> 30  [label=\"stop:0.5\"];\n287 -> 313  [label=\"spin1:1.0\"];\n287 -> 313  [label=\"spin2:1.0\"];\n287 -> 313  [label=\"spin3:1.0\"];\n287 -> 313  [label=\"stop:1.0\"];\n299 -> 299  [label=\"spin1:1.0\"];\n299 -> 299  [label=\"spin2:1.0\"];\n299 -> 299  [label=\"spin3:1.0\"];\n299 -> 299  [label=\"stop:1.0\"];\n233 -> 233  [label=\"spin1:1.0\"];\n233 -> 233  [label=\"spin2:1.0\"];\n233 -> 233  [label=\"spin3:1.0\"];\n233 -> 233  [label=\"stop:1.0\"];\n134 -> 134  [label=\"spin1:1.0\"];\n134 -> 134  [label=\"spin2:1.0\"];\n134 -> 134  [label=\"spin3:1.0\"];\n134 -> 134  [label=\"stop:1.0\"];\n188 -> 214  [label=\"spin1:1.0\"];\n188 -> 214  [label=\"spin2:1.0\"];\n188 -> 214  [label=\"spin3:1.0\"];\n188 -> 214  [label=\"stop:1.0\"];\n68 -> 68  [label=\"spin1:1.0\"];\n68 -> 68  [label=\"spin2:1.0\"];\n68 -> 68  [label=\"spin3:1.0\"];\n68 -> 68  [label=\"stop:1.0\"];\n251 -> 277  [label=\"spin1:1.0\"];\n251 -> 277  [label=\"spin2:1.0\"];\n251 -> 277  [label=\"spin3:1.0\"];\n251 -> 95  [label=\"stop:0.5\"];\n251 -> 277  [label=\"stop:0.5\"];\n255 -> 281  [label=\"spin1:1.0\"];\n255 -> 281  [label=\"spin2:1.0\"];\n255 -> 281  [label=\"spin3:1.0\"];\n255 -> 99  [label=\"stop:0.5\"];\n255 -> 281  [label=\"stop:0.5\"];\n122 -> 148  [label=\"spin1:1.0\"];\n122 -> 148  [label=\"spin2:1.0\"];\n122 -> 148  [label=\"spin3:1.0\"];\n122 -> 148  [label=\"stop:1.0\"];\n23 -> 94  [label=\"spin1:0.7\"];\n23 -> 103  [label=\"spin1:0.3\"];\n23 -> 103  [label=\"spin2:0.7\"];\n23 -> 106  [label=\"spin2:0.3\"];\n23 -> 102  [label=\"spin3:0.7\"];\n23 -> 103  [label=\"spin3:0.3\"];\n23 -> 50  [label=\"stop:0.5\"];\n23 -> 23  [label=\"stop:0.5\"];\n85 -> 172  [label=\"spin1:0.47\"];\n85 -> 181  [label=\"spin1:0.53\"];\n85 -> 163  [label=\"spin2:0.47\"];\n85 -> 166  [label=\"spin2:0.53\"];\n85 -> 162  [label=\"spin3:0.47\"];\n85 -> 163  [label=\"spin3:0.53\"];\n85 -> 5  [label=\"stop:0.5\"];\n85 -> 111  [label=\"stop:0.5\"];\n271 -> 297  [label=\"spin1:1.0\"];\n271 -> 297  [label=\"spin2:1.0\"];\n271 -> 297  [label=\"spin3:1.0\"];\n271 -> 297  [label=\"stop:1.0\"];\n205 -> 231  [label=\"spin1:1.0\"];\n205 -> 231  [label=\"spin2:1.0\"];\n205 -> 231  [label=\"spin3:1.0\"];\n205 -> 231  [label=\"stop:1.0\"];\n9 -> 89  [label=\"spin1:0.7\"];\n9 -> 98  [label=\"spin1:0.3\"];\n9 -> 92  [label=\"spin2:0.7\"];\n9 -> 95  [label=\"spin2:0.3\"];\n9 -> 90  [label=\"spin3:0.7\"];\n9 -> 91  [label=\"spin3:0.3\"];\n9 -> 9  [label=\"stop:0.5\"];\n9 -> 36  [label=\"stop:0.5\"];\n217 -> 217  [label=\"spin1:1.0\"];\n217 -> 217  [label=\"spin2:1.0\"];\n217 -> 217  [label=\"spin3:1.0\"];\n217 -> 217  [label=\"stop:1.0\"];\n176 -> 254  [label=\"spin1:0.77\"];\n176 -> 245  [label=\"spin1:0.23\"];\n176 -> 257  [label=\"spin2:0.23\"];\n176 -> 260  [label=\"spin2:0.77\"];\n176 -> 255  [label=\"spin3:0.23\"];\n176 -> 256  [label=\"spin3:0.77\"];\n176 -> 202  [label=\"stop:0.5\"];\n176 -> 18  [label=\"stop:0.5\"];\n151 -> 151  [label=\"spin1:1.0\"];\n151 -> 151  [label=\"spin2:1.0\"];\n151 -> 151  [label=\"spin3:1.0\"];\n151 -> 151  [label=\"stop:1.0\"];\n238 -> 264  [label=\"spin1:1.0\"];\n238 -> 264  [label=\"spin2:1.0\"];\n238 -> 264  [label=\"spin3:1.0\"];\n238 -> 264  [label=\"stop:0.5\"];\n238 -> 82  [label=\"stop:0.5\"];\n258 -> 284  [label=\"spin1:1.0\"];\n258 -> 284  [label=\"spin2:1.0\"];\n258 -> 284  [label=\"spin3:1.0\"];\n258 -> 102  [label=\"stop:0.5\"];\n258 -> 284  [label=\"stop:0.5\"];\n300 -> 300  [label=\"spin1:1.0\"];\n300 -> 300  [label=\"spin2:1.0\"];\n300 -> 300  [label=\"spin3:1.0\"];\n300 -> 300  [label=\"stop:1.0\"];\n288 -> 314  [label=\"spin1:1.0\"];\n288 -> 314  [label=\"spin2:1.0\"];\n288 -> 314  [label=\"spin3:1.0\"];\n288 -> 314  [label=\"stop:1.0\"];\n189 -> 215  [label=\"spin1:1.0\"];\n189 -> 215  [label=\"spin2:1.0\"];\n189 -> 215  [label=\"spin3:1.0\"];\n189 -> 215  [label=\"stop:1.0\"];\n234 -> 234  [label=\"spin1:1.0\"];\n234 -> 234  [label=\"spin2:1.0\"];\n234 -> 234  [label=\"spin3:1.0\"];\n234 -> 234  [label=\"stop:1.0\"];\n25 -> 96  [label=\"spin1:0.7\"];\n25 -> 105  [label=\"spin1:0.3\"];\n25 -> 102  [label=\"spin2:0.7\"];\n25 -> 105  [label=\"spin2:0.3\"];\n25 -> 105  [label=\"spin3:0.7\"];\n25 -> 106  [label=\"spin3:0.3\"];\n25 -> 25  [label=\"stop:0.5\"];\n25 -> 52  [label=\"stop:0.5\"];\n87 -> 174  [label=\"spin1:0.47\"];\n87 -> 183  [label=\"spin1:0.53\"];\n87 -> 162  [label=\"spin2:0.47\"];\n87 -> 165  [label=\"spin2:0.53\"];\n87 -> 165  [label=\"spin3:0.47\"];\n87 -> 166  [label=\"spin3:0.53\"];\n87 -> 7  [label=\"stop:0.5\"];\n87 -> 113  [label=\"stop:0.5\"];\n91 -> 169  [label=\"spin1:0.47\"];\n91 -> 178  [label=\"spin1:0.53\"];\n91 -> 175  [label=\"spin2:0.53\"];\n91 -> 172  [label=\"spin2:0.47\"];\n91 -> 168  [label=\"spin3:0.47\"];\n91 -> 169  [label=\"spin3:0.53\"];\n91 -> 11  [label=\"stop:0.5\"];\n91 -> 117  [label=\"stop:0.5\"];\n123 -> 149  [label=\"spin1:1.0\"];\n123 -> 149  [label=\"spin2:1.0\"];\n123 -> 149  [label=\"spin3:1.0\"];\n123 -> 149  [label=\"stop:1.0\"];\n135 -> 135  [label=\"spin1:1.0\"];\n135 -> 135  [label=\"spin2:1.0\"];\n135 -> 135  [label=\"spin3:1.0\"];\n135 -> 135  [label=\"stop:1.0\"];\n69 -> 69  [label=\"spin1:1.0\"];\n69 -> 69  [label=\"spin2:1.0\"];\n69 -> 69  [label=\"spin3:1.0\"];\n69 -> 69  [label=\"stop:1.0\"];\n172 -> 250  [label=\"spin1:0.23\"];\n172 -> 259  [label=\"spin1:0.77\"];\n172 -> 250  [label=\"spin2:0.23\"];\n172 -> 253  [label=\"spin2:0.77\"];\n172 -> 249  [label=\"spin3:0.23\"];\n172 -> 250  [label=\"spin3:0.77\"];\n172 -> 14  [label=\"stop:0.5\"];\n172 -> 198  [label=\"stop:0.5\"];\n218 -> 218  [label=\"spin1:1.0\"];\n218 -> 218  [label=\"spin2:1.0\"];\n218 -> 218  [label=\"spin3:1.0\"];\n218 -> 218  [label=\"stop:1.0\"];\n272 -> 298  [label=\"spin1:1.0\"];\n272 -> 298  [label=\"spin2:1.0\"];\n272 -> 298  [label=\"spin3:1.0\"];\n272 -> 298  [label=\"stop:1.0\"];\n107 -> 133  [label=\"spin1:1.0\"];\n107 -> 133  [label=\"spin2:1.0\"];\n107 -> 133  [label=\"spin3:1.0\"];\n107 -> 133  [label=\"stop:1.0\"];\n152 -> 152  [label=\"spin1:1.0\"];\n152 -> 152  [label=\"spin2:1.0\"];\n152 -> 152  [label=\"spin3:1.0\"];\n152 -> 152  [label=\"stop:1.0\"];\n206 -> 232  [label=\"spin1:1.0\"];\n206 -> 232  [label=\"spin2:1.0\"];\n206 -> 232  [label=\"spin3:1.0\"];\n206 -> 232  [label=\"stop:1.0\"];\n41 -> 68  [label=\"spin1:1.0\"];\n41 -> 68  [label=\"spin2:1.0\"];\n41 -> 68  [label=\"spin3:1.0\"];\n41 -> 68  [label=\"stop:1.0\"];\n237 -> 263  [label=\"spin1:1.0\"];\n237 -> 263  [label=\"spin2:1.0\"];\n237 -> 263  [label=\"spin3:1.0\"];\n237 -> 263  [label=\"stop:0.5\"];\n237 -> 81  [label=\"stop:0.5\"];\n257 -> 283  [label=\"spin1:1.0\"];\n257 -> 283  [label=\"spin2:1.0\"];\n257 -> 283  [label=\"spin3:1.0\"];\n257 -> 101  [label=\"stop:0.5\"];\n257 -> 283  [label=\"stop:0.5\"];\n5 -> 94  [label=\"spin1:0.7\"];\n5 -> 103  [label=\"spin1:0.3\"];\n5 -> 85  [label=\"spin2:0.7\"];\n5 -> 88  [label=\"spin2:0.3\"];\n5 -> 84  [label=\"spin3:0.7\"];\n5 -> 85  [label=\"spin3:0.3\"];\n5 -> 5  [label=\"stop:0.5\"];\n5 -> 32  [label=\"stop:0.5\"];\n301 -> 301  [label=\"spin1:1.0\"];\n301 -> 301  [label=\"spin2:1.0\"];\n301 -> 301  [label=\"spin3:1.0\"];\n301 -> 301  [label=\"stop:1.0\"];\n190 -> 216  [label=\"spin1:1.0\"];\n190 -> 216  [label=\"spin2:1.0\"];\n190 -> 216  [label=\"spin3:1.0\"];\n190 -> 216  [label=\"stop:1.0\"];\n235 -> 235  [label=\"spin1:1.0\"];\n235 -> 235  [label=\"spin2:1.0\"];\n235 -> 235  [label=\"spin3:1.0\"];\n235 -> 235  [label=\"stop:1.0\"];\n24 -> 95  [label=\"spin1:0.7\"];\n24 -> 104  [label=\"spin1:0.3\"];\n24 -> 101  [label=\"spin2:0.7\"];\n24 -> 104  [label=\"spin2:0.3\"];\n24 -> 105  [label=\"spin3:0.7\"];\n24 -> 106  [label=\"spin3:0.3\"];\n24 -> 24  [label=\"stop:0.5\"];\n24 -> 51  [label=\"stop:0.5\"];\n86 -> 173  [label=\"spin1:0.47\"];\n86 -> 182  [label=\"spin1:0.53\"];\n86 -> 161  [label=\"spin2:0.47\"];\n86 -> 164  [label=\"spin2:0.53\"];\n86 -> 165  [label=\"spin3:0.47\"];\n86 -> 166  [label=\"spin3:0.53\"];\n86 -> 6  [label=\"stop:0.5\"];\n86 -> 112  [label=\"stop:0.5\"];\n90 -> 168  [label=\"spin1:0.47\"];\n90 -> 177  [label=\"spin1:0.53\"];\n90 -> 174  [label=\"spin2:0.53\"];\n90 -> 171  [label=\"spin2:0.47\"];\n90 -> 168  [label=\"spin3:0.47\"];\n90 -> 169  [label=\"spin3:0.53\"];\n90 -> 116  [label=\"stop:0.5\"];\n90 -> 10  [label=\"stop:0.5\"];\n136 -> 136  [label=\"spin1:1.0\"];\n136 -> 136  [label=\"spin2:1.0\"];\n136 -> 136  [label=\"spin3:1.0\"];\n136 -> 136  [label=\"stop:1.0\"];\n124 -> 150  [label=\"spin1:1.0\"];\n124 -> 150  [label=\"spin2:1.0\"];\n124 -> 150  [label=\"spin3:1.0\"];\n124 -> 150  [label=\"stop:1.0\"];\n70 -> 70  [label=\"spin1:1.0\"];\n70 -> 70  [label=\"spin2:1.0\"];\n70 -> 70  [label=\"spin3:1.0\"];\n70 -> 70  [label=\"stop:1.0\"];\n253 -> 279  [label=\"spin1:1.0\"];\n253 -> 279  [label=\"spin2:1.0\"];\n253 -> 279  [label=\"spin3:1.0\"];\n253 -> 97  [label=\"stop:0.5\"];\n253 -> 279  [label=\"stop:0.5\"];\n273 -> 299  [label=\"spin1:1.0\"];\n273 -> 299  [label=\"spin2:1.0\"];\n273 -> 299  [label=\"spin3:1.0\"];\n273 -> 299  [label=\"stop:1.0\"];\n207 -> 233  [label=\"spin1:1.0\"];\n207 -> 233  [label=\"spin2:1.0\"];\n207 -> 233  [label=\"spin3:1.0\"];\n207 -> 233  [label=\"stop:1.0\"];\n219 -> 219  [label=\"spin1:1.0\"];\n219 -> 219  [label=\"spin2:1.0\"];\n219 -> 219  [label=\"spin3:1.0\"];\n219 -> 219  [label=\"stop:1.0\"];\n7 -> 96  [label=\"spin1:0.7\"];\n7 -> 105  [label=\"spin1:0.3\"];\n7 -> 84  [label=\"spin2:0.7\"];\n7 -> 87  [label=\"spin2:0.3\"];\n7 -> 87  [label=\"spin3:0.7\"];\n7 -> 88  [label=\"spin3:0.3\"];\n7 -> 7  [label=\"stop:0.5\"];\n7 -> 34  [label=\"stop:0.5\"];\n11 -> 91  [label=\"spin1:0.7\"];\n11 -> 100  [label=\"spin1:0.3\"];\n11 -> 94  [label=\"spin2:0.7\"];\n11 -> 97  [label=\"spin2:0.3\"];\n11 -> 90  [label=\"spin3:0.7\"];\n11 -> 91  [label=\"spin3:0.3\"];\n11 -> 11  [label=\"stop:0.5\"];\n11 -> 38  [label=\"stop:0.5\"];\n108 -> 134  [label=\"spin1:1.0\"];\n108 -> 134  [label=\"spin2:1.0\"];\n108 -> 134  [label=\"spin3:1.0\"];\n108 -> 134  [label=\"stop:1.0\"];\n153 -> 153  [label=\"spin1:1.0\"];\n153 -> 153  [label=\"spin2:1.0\"];\n153 -> 153  [label=\"spin3:1.0\"];\n153 -> 153  [label=\"stop:1.0\"];\n54 -> 54  [label=\"spin1:1.0\"];\n54 -> 54  [label=\"spin2:1.0\"];\n54 -> 54  [label=\"spin3:1.0\"];\n54 -> 54  [label=\"stop:1.0\"];\n174 -> 252  [label=\"spin1:0.23\"];\n174 -> 261  [label=\"spin1:0.77\"];\n174 -> 249  [label=\"spin2:0.23\"];\n174 -> 252  [label=\"spin2:0.77\"];\n174 -> 252  [label=\"spin3:0.23\"];\n174 -> 253  [label=\"spin3:0.77\"];\n174 -> 16  [label=\"stop:0.5\"];\n174 -> 200  [label=\"stop:0.5\"];\n178 -> 256  [label=\"spin1:0.77\"];\n178 -> 247  [label=\"spin1:0.23\"];\n178 -> 259  [label=\"spin2:0.23\"];\n178 -> 262  [label=\"spin2:0.77\"];\n178 -> 255  [label=\"spin3:0.23\"];\n178 -> 256  [label=\"spin3:0.77\"];\n178 -> 20  [label=\"stop:0.5\"];\n178 -> 204  [label=\"stop:0.5\"];\n42 -> 69  [label=\"spin1:1.0\"];\n42 -> 69  [label=\"spin2:1.0\"];\n42 -> 69  [label=\"spin3:1.0\"];\n42 -> 69  [label=\"stop:1.0\"];\n302 -> 302  [label=\"spin1:1.0\"];\n302 -> 302  [label=\"spin2:1.0\"];\n302 -> 302  [label=\"spin3:1.0\"];\n302 -> 302  [label=\"stop:1.0\"];\n191 -> 217  [label=\"spin1:1.0\"];\n191 -> 217  [label=\"spin2:1.0\"];\n191 -> 217  [label=\"spin3:1.0\"];\n191 -> 217  [label=\"stop:1.0\"];\n236 -> 236  [label=\"spin1:1.0\"];\n236 -> 236  [label=\"spin2:1.0\"];\n236 -> 236  [label=\"spin3:1.0\"];\n236 -> 236  [label=\"stop:1.0\"];\n125 -> 151  [label=\"spin1:1.0\"];\n125 -> 151  [label=\"spin2:1.0\"];\n125 -> 151  [label=\"spin3:1.0\"];\n125 -> 151  [label=\"stop:1.0\"];\n137 -> 137  [label=\"spin1:1.0\"];\n137 -> 137  [label=\"spin2:1.0\"];\n137 -> 137  [label=\"spin3:1.0\"];\n137 -> 137  [label=\"stop:1.0\"];\n71 -> 71  [label=\"spin1:1.0\"];\n71 -> 71  [label=\"spin2:1.0\"];\n71 -> 71  [label=\"spin3:1.0\"];\n71 -> 71  [label=\"stop:1.0\"];\n92 -> 170  [label=\"spin1:0.47\"];\n92 -> 179  [label=\"spin1:0.53\"];\n92 -> 170  [label=\"spin2:0.47\"];\n92 -> 173  [label=\"spin2:0.53\"];\n92 -> 171  [label=\"spin3:0.47\"];\n92 -> 172  [label=\"spin3:0.53\"];\n92 -> 12  [label=\"stop:0.5\"];\n92 -> 118  [label=\"stop:0.5\"];\n197 -> 223  [label=\"spin1:1.0\"];\n197 -> 223  [label=\"spin2:1.0\"];\n197 -> 223  [label=\"spin3:1.0\"];\n197 -> 223  [label=\"stop:1.0\"];\n239 -> 265  [label=\"spin1:1.0\"];\n239 -> 265  [label=\"spin2:1.0\"];\n239 -> 265  [label=\"spin3:1.0\"];\n239 -> 83  [label=\"stop:0.5\"];\n239 -> 265  [label=\"stop:0.5\"];\n220 -> 220  [label=\"spin1:1.0\"];\n220 -> 220  [label=\"spin2:1.0\"];\n220 -> 220  [label=\"spin3:1.0\"];\n220 -> 220  [label=\"stop:1.0\"];\n208 -> 234  [label=\"spin1:1.0\"];\n208 -> 234  [label=\"spin2:1.0\"];\n208 -> 234  [label=\"spin3:1.0\"];\n208 -> 234  [label=\"stop:1.0\"];\n274 -> 300  [label=\"spin1:1.0\"];\n274 -> 300  [label=\"spin2:1.0\"];\n274 -> 300  [label=\"spin3:1.0\"];\n274 -> 300  [label=\"stop:1.0\"];\n109 -> 135  [label=\"spin1:1.0\"];\n109 -> 135  [label=\"spin2:1.0\"];\n109 -> 135  [label=\"spin3:1.0\"];\n109 -> 135  [label=\"stop:1.0\"];\n154 -> 154  [label=\"spin1:1.0\"];\n154 -> 154  [label=\"spin2:1.0\"];\n154 -> 154  [label=\"spin3:1.0\"];\n154 -> 154  [label=\"stop:1.0\"];\n6 -> 95  [label=\"spin1:0.7\"];\n6 -> 104  [label=\"spin1:0.3\"];\n6 -> 83  [label=\"spin2:0.7\"];\n6 -> 86  [label=\"spin2:0.3\"];\n6 -> 87  [label=\"spin3:0.7\"];\n6 -> 88  [label=\"spin3:0.3\"];\n6 -> 6  [label=\"stop:0.5\"];\n6 -> 33  [label=\"stop:0.5\"];\n10 -> 90  [label=\"spin1:0.7\"];\n10 -> 99  [label=\"spin1:0.3\"];\n10 -> 93  [label=\"spin2:0.7\"];\n10 -> 96  [label=\"spin2:0.3\"];\n10 -> 90  [label=\"spin3:0.7\"];\n10 -> 91  [label=\"spin3:0.3\"];\n10 -> 10  [label=\"stop:0.5\"];\n10 -> 37  [label=\"stop:0.5\"];\n43 -> 70  [label=\"spin1:1.0\"];\n43 -> 70  [label=\"spin2:1.0\"];\n43 -> 70  [label=\"spin3:1.0\"];\n43 -> 70  [label=\"stop:1.0\"];\n173 -> 251  [label=\"spin1:0.23\"];\n173 -> 260  [label=\"spin1:0.77\"];\n173 -> 248  [label=\"spin2:0.23\"];\n173 -> 251  [label=\"spin2:0.77\"];\n173 -> 252  [label=\"spin3:0.23\"];\n173 -> 253  [label=\"spin3:0.77\"];\n173 -> 199  [label=\"stop:0.5\"];\n173 -> 15  [label=\"stop:0.5\"];\n177 -> 255  [label=\"spin1:0.77\"];\n177 -> 246  [label=\"spin1:0.23\"];\n177 -> 258  [label=\"spin2:0.23\"];\n177 -> 261  [label=\"spin2:0.77\"];\n177 -> 255  [label=\"spin3:0.23\"];\n177 -> 256  [label=\"spin3:0.77\"];\n177 -> 19  [label=\"stop:0.5\"];\n177 -> 203  [label=\"stop:0.5\"];\n55 -> 55  [label=\"spin1:1.0\"];\n55 -> 55  [label=\"spin2:1.0\"];\n55 -> 55  [label=\"spin3:1.0\"];\n55 -> 55  [label=\"stop:1.0\"];\n259 -> 285  [label=\"spin1:1.0\"];\n259 -> 285  [label=\"spin2:1.0\"];\n259 -> 285  [label=\"spin3:1.0\"];\n259 -> 103  [label=\"stop:0.5\"];\n259 -> 285  [label=\"stop:0.5\"];\n303 -> 303  [label=\"spin1:1.0\"];\n303 -> 303  [label=\"spin2:1.0\"];\n303 -> 303  [label=\"spin3:1.0\"];\n303 -> 303  [label=\"stop:1.0\"];\n192 -> 218  [label=\"spin1:1.0\"];\n192 -> 218  [label=\"spin2:1.0\"];\n192 -> 218  [label=\"spin3:1.0\"];\n192 -> 218  [label=\"stop:1.0\"];\n138 -> 138  [label=\"spin1:1.0\"];\n138 -> 138  [label=\"spin2:1.0\"];\n138 -> 138  [label=\"spin3:1.0\"];\n138 -> 138  [label=\"stop:1.0\"];\n126 -> 152  [label=\"spin1:1.0\"];\n126 -> 152  [label=\"spin2:1.0\"];\n126 -> 152  [label=\"spin3:1.0\"];\n126 -> 152  [label=\"stop:1.0\"];\n26 -> 97  [label=\"spin1:0.7\"];\n26 -> 106  [label=\"spin1:0.3\"];\n26 -> 103  [label=\"spin2:0.7\"];\n26 -> 106  [label=\"spin2:0.3\"];\n26 -> 105  [label=\"spin3:0.7\"];\n26 -> 106  [label=\"spin3:0.3\"];\n26 -> 26  [label=\"stop:0.5\"];\n26 -> 53  [label=\"stop:0.5\"];\n27 -> 54  [label=\"spin1:1.0\"];\n27 -> 54  [label=\"spin2:1.0\"];\n27 -> 54  [label=\"spin3:1.0\"];\n27 -> 54  [label=\"stop:1.0\"];\n72 -> 72  [label=\"spin1:1.0\"];\n72 -> 72  [label=\"spin2:1.0\"];\n72 -> 72  [label=\"spin3:1.0\"];\n72 -> 72  [label=\"stop:1.0\"];\n88 -> 175  [label=\"spin1:0.47\"];\n88 -> 184  [label=\"spin1:0.53\"];\n88 -> 163  [label=\"spin2:0.47\"];\n88 -> 166  [label=\"spin2:0.53\"];\n88 -> 165  [label=\"spin3:0.47\"];\n88 -> 166  [label=\"spin3:0.53\"];\n88 -> 114  [label=\"stop:0.5\"];\n88 -> 8  [label=\"stop:0.5\"];\n209 -> 235  [label=\"spin1:1.0\"];\n209 -> 235  [label=\"spin2:1.0\"];\n209 -> 235  [label=\"spin3:1.0\"];\n209 -> 235  [label=\"stop:1.0\"];\n221 -> 221  [label=\"spin1:1.0\"];\n221 -> 221  [label=\"spin2:1.0\"];\n221 -> 221  [label=\"spin3:1.0\"];\n221 -> 221  [label=\"stop:1.0\"];\n155 -> 155  [label=\"spin1:1.0\"];\n155 -> 155  [label=\"spin2:1.0\"];\n155 -> 155  [label=\"spin3:1.0\"];\n155 -> 155  [label=\"stop:1.0\"];\n56 -> 56  [label=\"spin1:1.0\"];\n56 -> 56  [label=\"spin2:1.0\"];\n56 -> 56  [label=\"spin3:1.0\"];\n56 -> 56  [label=\"stop:1.0\"];\n44 -> 71  [label=\"spin1:1.0\"];\n44 -> 71  [label=\"spin2:1.0\"];\n44 -> 71  [label=\"spin3:1.0\"];\n44 -> 71  [label=\"stop:1.0\"];\n110 -> 136  [label=\"spin1:1.0\"];\n110 -> 136  [label=\"spin2:1.0\"];\n110 -> 136  [label=\"spin3:1.0\"];\n110 -> 136  [label=\"stop:1.0\"];\n12 -> 92  [label=\"spin1:0.7\"];\n12 -> 101  [label=\"spin1:0.3\"];\n12 -> 92  [label=\"spin2:0.7\"];\n12 -> 95  [label=\"spin2:0.3\"];\n12 -> 93  [label=\"spin3:0.7\"];\n12 -> 94  [label=\"spin3:0.3\"];\n12 -> 12  [label=\"stop:0.5\"];\n12 -> 39  [label=\"stop:0.5\"];\n98 -> 167  [label=\"spin1:0.47\"];\n98 -> 176  [label=\"spin1:0.53\"];\n98 -> 179  [label=\"spin2:0.47\"];\n98 -> 182  [label=\"spin2:0.53\"];\n98 -> 177  [label=\"spin3:0.47\"];\n98 -> 178  [label=\"spin3:0.53\"];\n98 -> 18  [label=\"stop:0.5\"];\n98 -> 124  [label=\"stop:0.5\"];\n304 -> 304  [label=\"spin1:1.0\"];\n304 -> 304  [label=\"spin2:1.0\"];\n304 -> 304  [label=\"spin3:1.0\"];\n304 -> 304  [label=\"stop:1.0\"];\n193 -> 219  [label=\"spin1:1.0\"];\n193 -> 219  [label=\"spin2:1.0\"];\n193 -> 219  [label=\"spin3:1.0\"];\n193 -> 219  [label=\"stop:1.0\"];\n127 -> 153  [label=\"spin1:1.0\"];\n127 -> 153  [label=\"spin2:1.0\"];\n127 -> 153  [label=\"spin3:1.0\"];\n127 -> 153  [label=\"stop:1.0\"];\n261 -> 287  [label=\"spin1:1.0\"];\n261 -> 287  [label=\"spin2:1.0\"];\n261 -> 287  [label=\"spin3:1.0\"];\n261 -> 105  [label=\"stop:0.5\"];\n261 -> 287  [label=\"stop:0.5\"];\n139 -> 139  [label=\"spin1:1.0\"];\n139 -> 139  [label=\"spin2:1.0\"];\n139 -> 139  [label=\"spin3:1.0\"];\n139 -> 139  [label=\"stop:1.0\"];\n28 -> 55  [label=\"spin1:1.0\"];\n28 -> 55  [label=\"spin2:1.0\"];\n28 -> 55  [label=\"spin3:1.0\"];\n28 -> 55  [label=\"stop:1.0\"];\n73 -> 73  [label=\"spin1:1.0\"];\n73 -> 73  [label=\"spin2:1.0\"];\n73 -> 73  [label=\"spin3:1.0\"];\n73 -> 73  [label=\"stop:1.0\"];\n159 -> 246  [label=\"spin1:0.23\"];\n159 -> 255  [label=\"spin1:0.77\"];\n159 -> 243  [label=\"spin2:0.77\"];\n159 -> 240  [label=\"spin2:0.23\"];\n159 -> 237  [label=\"spin3:0.23\"];\n159 -> 238  [label=\"spin3:0.77\"];\n159 -> 1  [label=\"stop:0.5\"];\n159 -> 185  [label=\"stop:0.5\"];\n94 -> 172  [label=\"spin1:0.47\"];\n94 -> 181  [label=\"spin1:0.53\"];\n94 -> 172  [label=\"spin2:0.47\"];\n94 -> 175  [label=\"spin2:0.53\"];\n94 -> 171  [label=\"spin3:0.47\"];\n94 -> 172  [label=\"spin3:0.53\"];\n94 -> 120  [label=\"stop:0.5\"];\n94 -> 14  [label=\"stop:0.5\"];\n179 -> 257  [label=\"spin1:0.77\"];\n179 -> 248  [label=\"spin1:0.23\"];\n179 -> 257  [label=\"spin2:0.23\"];\n179 -> 260  [label=\"spin2:0.77\"];\n179 -> 258  [label=\"spin3:0.23\"];\n179 -> 259  [label=\"spin3:0.77\"];\n179 -> 21  [label=\"stop:0.5\"];\n179 -> 205  [label=\"stop:0.5\"];\n241 -> 267  [label=\"spin1:1.0\"];\n241 -> 267  [label=\"spin2:1.0\"];\n241 -> 267  [label=\"spin3:1.0\"];\n241 -> 267  [label=\"stop:0.5\"];\n241 -> 85  [label=\"stop:0.5\"];\n222 -> 222  [label=\"spin1:1.0\"];\n222 -> 222  [label=\"spin2:1.0\"];\n222 -> 222  [label=\"spin3:1.0\"];\n222 -> 222  [label=\"stop:1.0\"];\n210 -> 236  [label=\"spin1:1.0\"];\n210 -> 236  [label=\"spin2:1.0\"];\n210 -> 236  [label=\"spin3:1.0\"];\n210 -> 236  [label=\"stop:1.0\"];\n276 -> 302  [label=\"spin1:1.0\"];\n276 -> 302  [label=\"spin2:1.0\"];\n276 -> 302  [label=\"spin3:1.0\"];\n276 -> 302  [label=\"stop:1.0\"];\n111 -> 137  [label=\"spin1:1.0\"];\n111 -> 137  [label=\"spin2:1.0\"];\n111 -> 137  [label=\"spin3:1.0\"];\n111 -> 137  [label=\"stop:1.0\"];\n156 -> 156  [label=\"spin1:1.0\"];\n156 -> 156  [label=\"spin2:1.0\"];\n156 -> 156  [label=\"spin3:1.0\"];\n156 -> 156  [label=\"stop:1.0\"];\n45 -> 72  [label=\"spin1:1.0\"];\n45 -> 72  [label=\"spin2:1.0\"];\n45 -> 72  [label=\"spin3:1.0\"];\n45 -> 72  [label=\"stop:1.0\"];\n8 -> 97  [label=\"spin1:0.7\"];\n8 -> 106  [label=\"spin1:0.3\"];\n8 -> 85  [label=\"spin2:0.7\"];\n8 -> 88  [label=\"spin2:0.3\"];\n8 -> 87  [label=\"spin3:0.7\"];\n8 -> 88  [label=\"spin3:0.3\"];\n8 -> 8  [label=\"stop:0.5\"];\n8 -> 35  [label=\"stop:0.5\"];\n57 -> 57  [label=\"spin1:1.0\"];\n57 -> 57  [label=\"spin2:1.0\"];\n57 -> 57  [label=\"spin3:1.0\"];\n57 -> 57  [label=\"stop:1.0\"];\n175 -> 253  [label=\"spin1:0.23\"];\n175 -> 262  [label=\"spin1:0.77\"];\n175 -> 250  [label=\"spin2:0.23\"];\n175 -> 253  [label=\"spin2:0.77\"];\n175 -> 252  [label=\"spin3:0.23\"];\n175 -> 253  [label=\"spin3:0.77\"];\n175 -> 17  [label=\"stop:0.5\"];\n175 -> 201  [label=\"stop:0.5\"];\n305 -> 305  [label=\"spin1:1.0\"];\n305 -> 305  [label=\"spin2:1.0\"];\n305 -> 305  [label=\"spin3:1.0\"];\n305 -> 305  [label=\"stop:1.0\"];\n140 -> 140  [label=\"spin1:1.0\"];\n140 -> 140  [label=\"spin2:1.0\"];\n140 -> 140  [label=\"spin3:1.0\"];\n140 -> 140  [label=\"stop:1.0\"];\n260 -> 286  [label=\"spin1:1.0\"];\n260 -> 286  [label=\"spin2:1.0\"];\n260 -> 286  [label=\"spin3:1.0\"];\n260 -> 104  [label=\"stop:0.5\"];\n260 -> 286  [label=\"stop:0.5\"];\n194 -> 220  [label=\"spin1:1.0\"];\n194 -> 220  [label=\"spin2:1.0\"];\n194 -> 220  [label=\"spin3:1.0\"];\n194 -> 220  [label=\"stop:1.0\"];\n29 -> 56  [label=\"spin1:1.0\"];\n29 -> 56  [label=\"spin2:1.0\"];\n29 -> 56  [label=\"spin3:1.0\"];\n29 -> 56  [label=\"stop:1.0\"];\n74 -> 74  [label=\"spin1:1.0\"];\n74 -> 74  [label=\"spin2:1.0\"];\n74 -> 74  [label=\"spin3:1.0\"];\n74 -> 74  [label=\"stop:1.0\"];\n128 -> 154  [label=\"spin1:1.0\"];\n128 -> 154  [label=\"spin2:1.0\"];\n128 -> 154  [label=\"spin3:1.0\"];\n128 -> 154  [label=\"stop:1.0\"];\n93 -> 171  [label=\"spin1:0.47\"];\n93 -> 180  [label=\"spin1:0.53\"];\n93 -> 171  [label=\"spin2:0.47\"];\n93 -> 174  [label=\"spin2:0.53\"];\n93 -> 171  [label=\"spin3:0.47\"];\n93 -> 172  [label=\"spin3:0.53\"];\n93 -> 13  [label=\"stop:0.5\"];\n93 -> 119  [label=\"stop:0.5\"];\n277 -> 303  [label=\"spin1:1.0\"];\n277 -> 303  [label=\"spin2:1.0\"];\n277 -> 303  [label=\"spin3:1.0\"];\n277 -> 303  [label=\"stop:1.0\"];\n240 -> 266  [label=\"spin1:1.0\"];\n240 -> 266  [label=\"spin2:1.0\"];\n240 -> 266  [label=\"spin3:1.0\"];\n240 -> 266  [label=\"stop:0.5\"];\n240 -> 84  [label=\"stop:0.5\"];\n289 -> 289  [label=\"spin1:1.0\"];\n289 -> 289  [label=\"spin2:1.0\"];\n289 -> 289  [label=\"spin3:1.0\"];\n289 -> 289  [label=\"stop:1.0\"];\n223 -> 223  [label=\"spin1:1.0\"];\n223 -> 223  [label=\"spin2:1.0\"];\n223 -> 223  [label=\"spin3:1.0\"];\n223 -> 223  [label=\"stop:1.0\"];\n112 -> 138  [label=\"spin1:1.0\"];\n112 -> 138  [label=\"spin2:1.0\"];\n112 -> 138  [label=\"spin3:1.0\"];\n112 -> 138  [label=\"stop:1.0\"];\n157 -> 157  [label=\"spin1:1.0\"];\n157 -> 157  [label=\"spin2:1.0\"];\n157 -> 157  [label=\"spin3:1.0\"];\n157 -> 157  [label=\"stop:1.0\"];\n58 -> 58  [label=\"spin1:1.0\"];\n58 -> 58  [label=\"spin2:1.0\"];\n58 -> 58  [label=\"spin3:1.0\"];\n58 -> 58  [label=\"stop:1.0\"];\n46 -> 73  [label=\"spin1:1.0\"];\n46 -> 73  [label=\"spin2:1.0\"];\n46 -> 73  [label=\"spin3:1.0\"];\n46 -> 73  [label=\"stop:1.0\"];\n14 -> 94  [label=\"spin1:0.7\"];\n14 -> 103  [label=\"spin1:0.3\"];\n14 -> 94  [label=\"spin2:0.7\"];\n14 -> 97  [label=\"spin2:0.3\"];\n14 -> 93  [label=\"spin3:0.7\"];\n14 -> 94  [label=\"spin3:0.3\"];\n14 -> 14  [label=\"stop:0.5\"];\n14 -> 41  [label=\"stop:0.5\"];\n161 -> 248  [label=\"spin1:0.23\"];\n161 -> 257  [label=\"spin1:0.77\"];\n161 -> 242  [label=\"spin2:0.77\"];\n161 -> 239  [label=\"spin2:0.23\"];\n161 -> 240  [label=\"spin3:0.23\"];\n161 -> 241  [label=\"spin3:0.77\"];\n161 -> 3  [label=\"stop:0.5\"];\n161 -> 187  [label=\"stop:0.5\"];\n306 -> 306  [label=\"spin1:1.0\"];\n306 -> 306  [label=\"spin2:1.0\"];\n306 -> 306  [label=\"spin3:1.0\"];\n306 -> 306  [label=\"stop:1.0\"];\n96 -> 174  [label=\"spin1:0.47\"];\n96 -> 183  [label=\"spin1:0.53\"];\n96 -> 171  [label=\"spin2:0.47\"];\n96 -> 174  [label=\"spin2:0.53\"];\n96 -> 174  [label=\"spin3:0.47\"];\n96 -> 175  [label=\"spin3:0.53\"];\n96 -> 16  [label=\"stop:0.5\"];\n96 -> 122  [label=\"stop:0.5\"];\n100 -> 169  [label=\"spin1:0.47\"];\n100 -> 178  [label=\"spin1:0.53\"];\n100 -> 181  [label=\"spin2:0.47\"];\n100 -> 184  [label=\"spin2:0.53\"];\n100 -> 177  [label=\"spin3:0.47\"];\n100 -> 178  [label=\"spin3:0.53\"];\n100 -> 126  [label=\"stop:0.5\"];\n100 -> 20  [label=\"stop:0.5\"];\n195 -> 221  [label=\"spin1:1.0\"];\n195 -> 221  [label=\"spin2:1.0\"];\n195 -> 221  [label=\"spin3:1.0\"];\n195 -> 221  [label=\"stop:1.0\"];\n129 -> 155  [label=\"spin1:1.0\"];\n129 -> 155  [label=\"spin2:1.0\"];\n129 -> 155  [label=\"spin3:1.0\"];\n129 -> 155  [label=\"stop:1.0\"];\n141 -> 141  [label=\"spin1:1.0\"];\n141 -> 141  [label=\"spin2:1.0\"];\n141 -> 141  [label=\"spin3:1.0\"];\n141 -> 141  [label=\"stop:1.0\"];\n30 -> 57  [label=\"spin1:1.0\"];\n30 -> 57  [label=\"spin2:1.0\"];\n30 -> 57  [label=\"spin3:1.0\"];\n30 -> 57  [label=\"stop:1.0\"];\n75 -> 75  [label=\"spin1:1.0\"];\n75 -> 75  [label=\"spin2:1.0\"];\n75 -> 75  [label=\"spin3:1.0\"];\n75 -> 75  [label=\"stop:1.0\"];\n181 -> 259  [label=\"spin1:0.77\"];\n181 -> 250  [label=\"spin1:0.23\"];\n181 -> 259  [label=\"spin2:0.23\"];\n181 -> 262  [label=\"spin2:0.77\"];\n181 -> 258  [label=\"spin3:0.23\"];\n181 -> 259  [label=\"spin3:0.77\"];\n181 -> 23  [label=\"stop:0.5\"];\n181 -> 207  [label=\"stop:0.5\"];\n290 -> 290  [label=\"spin1:1.0\"];\n290 -> 290  [label=\"spin2:1.0\"];\n290 -> 290  [label=\"spin3:1.0\"];\n290 -> 290  [label=\"stop:1.0\"];\n224 -> 224  [label=\"spin1:1.0\"];\n224 -> 224  [label=\"spin2:1.0\"];\n224 -> 224  [label=\"spin3:1.0\"];\n224 -> 224  [label=\"stop:1.0\"];\n278 -> 304  [label=\"spin1:1.0\"];\n278 -> 304  [label=\"spin2:1.0\"];\n278 -> 304  [label=\"spin3:1.0\"];\n278 -> 304  [label=\"stop:1.0\"];\n113 -> 139  [label=\"spin1:1.0\"];\n113 -> 139  [label=\"spin2:1.0\"];\n113 -> 139  [label=\"spin3:1.0\"];\n113 -> 139  [label=\"stop:1.0\"];\n158 -> 158  [label=\"spin1:1.0\"];\n158 -> 158  [label=\"spin2:1.0\"];\n158 -> 158  [label=\"spin3:1.0\"];\n158 -> 158  [label=\"stop:1.0\"];\n47 -> 74  [label=\"spin1:1.0\"];\n47 -> 74  [label=\"spin2:1.0\"];\n47 -> 74  [label=\"spin3:1.0\"];\n47 -> 74  [label=\"stop:1.0\"];\n242 -> 268  [label=\"spin1:1.0\"];\n242 -> 268  [label=\"spin2:1.0\"];\n242 -> 268  [label=\"spin3:1.0\"];\n242 -> 268  [label=\"stop:0.5\"];\n242 -> 86  [label=\"stop:0.5\"];\n246 -> 272  [label=\"spin1:1.0\"];\n246 -> 272  [label=\"spin2:1.0\"];\n246 -> 272  [label=\"spin3:1.0\"];\n246 -> 90  [label=\"stop:0.5\"];\n246 -> 272  [label=\"stop:0.5\"];\n59 -> 59  [label=\"spin1:1.0\"];\n59 -> 59  [label=\"spin2:1.0\"];\n59 -> 59  [label=\"spin3:1.0\"];\n59 -> 59  [label=\"stop:1.0\"];\n13 -> 93  [label=\"spin1:0.7\"];\n13 -> 102  [label=\"spin1:0.3\"];\n13 -> 93  [label=\"spin2:0.7\"];\n13 -> 96  [label=\"spin2:0.3\"];\n13 -> 93  [label=\"spin3:0.7\"];\n13 -> 94  [label=\"spin3:0.3\"];\n13 -> 13  [label=\"stop:0.5\"];\n13 -> 40  [label=\"stop:0.5\"];\n307 -> 307  [label=\"spin1:1.0\"];\n307 -> 307  [label=\"spin2:1.0\"];\n307 -> 307  [label=\"spin3:1.0\"];\n307 -> 307  [label=\"stop:1.0\"];\n95 -> 173  [label=\"spin1:0.47\"];\n95 -> 182  [label=\"spin1:0.53\"];\n95 -> 170  [label=\"spin2:0.47\"];\n95 -> 173  [label=\"spin2:0.53\"];\n95 -> 174  [label=\"spin3:0.47\"];\n95 -> 175  [label=\"spin3:0.53\"];\n95 -> 121  [label=\"stop:0.5\"];\n95 -> 15  [label=\"stop:0.5\"];\n99 -> 168  [label=\"spin1:0.47\"];\n99 -> 177  [label=\"spin1:0.53\"];\n99 -> 180  [label=\"spin2:0.47\"];\n99 -> 183  [label=\"spin2:0.53\"];\n99 -> 177  [label=\"spin3:0.47\"];\n99 -> 178  [label=\"spin3:0.53\"];\n99 -> 125  [label=\"stop:0.5\"];\n99 -> 19  [label=\"stop:0.5\"];\n142 -> 142  [label=\"spin1:1.0\"];\n142 -> 142  [label=\"spin2:1.0\"];\n142 -> 142  [label=\"spin3:1.0\"];\n142 -> 142  [label=\"stop:1.0\"];\n130 -> 156  [label=\"spin1:1.0\"];\n130 -> 156  [label=\"spin2:1.0\"];\n130 -> 156  [label=\"spin3:1.0\"];\n130 -> 156  [label=\"stop:1.0\"];\n196 -> 222  [label=\"spin1:1.0\"];\n196 -> 222  [label=\"spin2:1.0\"];\n196 -> 222  [label=\"spin3:1.0\"];\n196 -> 222  [label=\"stop:1.0\"];\n76 -> 76  [label=\"spin1:1.0\"];\n76 -> 76  [label=\"spin2:1.0\"];\n76 -> 76  [label=\"spin3:1.0\"];\n76 -> 76  [label=\"stop:1.0\"];\n262 -> 288  [label=\"spin1:1.0\"];\n262 -> 288  [label=\"spin2:1.0\"];\n262 -> 288  [label=\"spin3:1.0\"];\n262 -> 106  [label=\"stop:0.5\"];\n262 -> 288  [label=\"stop:0.5\"];\n31 -> 58  [label=\"spin1:1.0\"];\n31 -> 58  [label=\"spin2:1.0\"];\n31 -> 58  [label=\"spin3:1.0\"];\n31 -> 58  [label=\"stop:1.0\"];\n160 -> 247  [label=\"spin1:0.23\"];\n160 -> 256  [label=\"spin1:0.77\"];\n160 -> 244  [label=\"spin2:0.77\"];\n160 -> 241  [label=\"spin2:0.23\"];\n160 -> 237  [label=\"spin3:0.23\"];\n160 -> 238  [label=\"spin3:0.77\"];\n160 -> 2  [label=\"stop:0.5\"];\n160 -> 186  [label=\"stop:0.5\"];\n279 -> 305  [label=\"spin1:1.0\"];\n279 -> 305  [label=\"spin2:1.0\"];\n279 -> 305  [label=\"spin3:1.0\"];\n279 -> 305  [label=\"stop:1.0\"];\n180 -> 258  [label=\"spin1:0.77\"];\n180 -> 249  [label=\"spin1:0.23\"];\n180 -> 258  [label=\"spin2:0.23\"];\n180 -> 261  [label=\"spin2:0.77\"];\n180 -> 258  [label=\"spin3:0.23\"];\n180 -> 259  [label=\"spin3:0.77\"];\n180 -> 22  [label=\"stop:0.5\"];\n180 -> 206  [label=\"stop:0.5\"];\n291 -> 291  [label=\"spin1:1.0\"];\n291 -> 291  [label=\"spin2:1.0\"];\n291 -> 291  [label=\"spin3:1.0\"];\n291 -> 291  [label=\"stop:1.0\"];\n225 -> 225  [label=\"spin1:1.0\"];\n225 -> 225  [label=\"spin2:1.0\"];\n225 -> 225  [label=\"spin3:1.0\"];\n225 -> 225  [label=\"stop:1.0\"];\n114 -> 140  [label=\"spin1:1.0\"];\n114 -> 140  [label=\"spin2:1.0\"];\n114 -> 140  [label=\"spin3:1.0\"];\n114 -> 140  [label=\"stop:1.0\"];\n60 -> 60  [label=\"spin1:1.0\"];\n60 -> 60  [label=\"spin2:1.0\"];\n60 -> 60  [label=\"spin3:1.0\"];\n60 -> 60  [label=\"stop:1.0\"];\n245 -> 271  [label=\"spin1:1.0\"];\n245 -> 271  [label=\"spin2:1.0\"];\n245 -> 271  [label=\"spin3:1.0\"];\n245 -> 89  [label=\"stop:0.5\"];\n245 -> 271  [label=\"stop:0.5\"];\n48 -> 75  [label=\"spin1:1.0\"];\n48 -> 75  [label=\"spin2:1.0\"];\n48 -> 75  [label=\"spin3:1.0\"];\n48 -> 75  [label=\"stop:1.0\"];\n__start0 [label=\"\", shape=none];\n__start0 -> 0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/MDPs/tcp.dot",
    "content": "digraph tcp {\n8 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n25 [label=\"ACK_plus_RST_p_ZERO_c_NEXT_c_0_p\"];\n107 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n19 [label=\"start\"];\n132 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n69 [label=\"TIMEOUT\"];\n36 [label=\"TIMEOUT\"];\n43 [label=\"RST_p_NEXT_c_ZERO_c_0_p\"];\n143 [label=\"TIMEOUT\"];\n16 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n11 [label=\"TIMEOUT\"];\n24 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n154 [label=\"ACK_plus_FIN_p_NEXT_c_CURRENT_c_0_p\"];\n90 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n44 [label=\"RST_p_ZERO_c_ZERO_c_0_p\"];\n27 [label=\"TIMEOUT\"];\n34 [label=\"ACK_plus_RST_p_ZERO_c_NEXT_c_0_p\"];\n60 [label=\"TIMEOUT\"];\n39 [label=\"ACK_plus_FIN_p_NEXT_c_CURRENT_c_0_p\"];\n112 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n35 [label=\"TIMEOUT\"];\n46 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n81 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n114 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n10 [label=\"TIMEOUT\"];\n22 [label=\"ACK_plus_SYN_p_FRESH_c_NEXT_c_0_p\"];\n109 [label=\"TIMEOUT\"];\n76 [label=\"TIMEOUT\"];\n150 [label=\"TIMEOUT\"];\n18 [label=\"TIMEOUT\"];\n155 [label=\"ACK_plus_FIN_p_NEXT_c_CURRENT_c_0_p\"];\n84 [label=\"TIMEOUT\"];\n64 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n1 [label=\"TIMEOUT\"];\n116 [label=\"crash\"];\n130 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n49 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n115 [label=\"RST_p_NEXT_c_ZERO_c_0_p\"];\n9 [label=\"TIMEOUT\"];\n138 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n29 [label=\"ACK_plus_SYN_p_FRESH_c_NEXT_c_0_p\"];\n140 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n100 [label=\"TIMEOUT\"];\n74 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n21 [label=\"ACK_plus_SYN_p_FRESH_c_NEXT_c_0_p\"];\n42 [label=\"TIMEOUT\"];\n108 [label=\"TIMEOUT\"];\n135 [label=\"ACK_plus_RST_p_ZERO_c_NEXT_c_0_p\"];\n32 [label=\"RST_p_NEXT_c_ZERO_c_0_p\"];\n149 [label=\"TIMEOUT\"];\n96 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n33 [label=\"TIMEOUT\"];\n0 [label=\"TIMEOUT\"];\n30 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n124 [label=\"TIMEOUT\"];\n41 [label=\"TIMEOUT\"];\n5 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n66 [label=\"TIMEOUT\"];\n71 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n38 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n40 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n13 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n152 [label=\"ACK_plus_SYN_p_FRESH_c_NEXT_c_0_p\"];\n153 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n57 [label=\"RST_p_ZERO_c_ZERO_c_0_p\"];\n78 [label=\"ACK_plus_SYN_p_FRESH_c_NEXT_c_0_p\"];\n82 [label=\"TIMEOUT\"];\n31 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n128 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n65 [label=\"TIMEOUT\"];\n12 [label=\"ACK_plus_SYN_p_FRESH_c_NEXT_c_0_p\"];\n58 [label=\"RST_p_NEXT_c_ZERO_c_0_p\"];\n123 [label=\"TIMEOUT\"];\n7 [label=\"TIMEOUT\"];\n54 [label=\"ACK_plus_RST_p_ZERO_c_NEXT_c_0_p\"];\n73 [label=\"TIMEOUT\"];\n37 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n47 [label=\"RST_p_NEXT_c_ZERO_c_0_p\"];\n98 [label=\"TIMEOUT\"];\n48 [label=\"TIMEOUT\"];\n101 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n106 [label=\"TIMEOUT\"];\n134 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n23 [label=\"TIMEOUT\"];\n89 [label=\"TIMEOUT\"];\n125 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n147 [label=\"TIMEOUT\"];\n92 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n3 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n59 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n97 [label=\"TIMEOUT\"];\n26 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n88 [label=\"RST_p_NEXT_c_ZERO_c_0_p\"];\n122 [label=\"TIMEOUT\"];\n17 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n6 [label=\"TIMEOUT\"];\n105 [label=\"TIMEOUT\"];\n50 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n72 [label=\"TIMEOUT\"];\n15 [label=\"RST_p_NEXT_c_ZERO_c_0_p\"];\n28 [label=\"ACK_plus_RST_p_ZERO_c_NEXT_c_0_p\"];\n111 [label=\"ACK_plus_RST_p_ZERO_c_NEXT_c_0_p\"];\n14 [label=\"TIMEOUT\"];\n75 [label=\"ACK_plus_RST_p_NEXT_c_CURRENT_c_0_p\"];\n113 [label=\"TIMEOUT\"];\n80 [label=\"TIMEOUT\"];\n77 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n133 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n51 [label=\"ACK_plus_FIN_p_NEXT_c_CURRENT_c_0_p\"];\n110 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n55 [label=\"TIMEOUT\"];\n146 [label=\"RST_p_ZERO_c_ZERO_c_0_p\"];\n121 [label=\"RST_p_ZERO_c_ZERO_c_0_p\"];\n118 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n129 [label=\"TIMEOUT\"];\n2 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n93 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n4 [label=\"ACK_plus_RST_p_ZERO_c_NEXT_c_0_p\"];\n126 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n137 [label=\"TIMEOUT\"];\n45 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n68 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n79 [label=\"TIMEOUT\"];\n63 [label=\"RST_p_ZERO_c_ZERO_c_0_p\"];\n142 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n87 [label=\"TIMEOUT\"];\n120 [label=\"TIMEOUT\"];\n117 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n139 [label=\"ACK_plus_RST_p_ZERO_c_NEXT_c_0_p\"];\n127 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n95 [label=\"TIMEOUT\"];\n62 [label=\"TIMEOUT\"];\n67 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n53 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n131 [label=\"ACK_plus_RST_p_ZERO_c_NEXT_c_0_p\"];\n145 [label=\"RST_p_ZERO_c_ZERO_c_0_p\"];\n103 [label=\"TIMEOUT\"];\n136 [label=\"TIMEOUT\"];\n70 [label=\"RST_p_ZERO_c_ZERO_c_0_p\"];\n83 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n144 [label=\"TIMEOUT\"];\n141 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n104 [label=\"RST_p_NEXT_c_ZERO_c_0_p\"];\n102 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n119 [label=\"TIMEOUT\"];\n20 [label=\"RST_p_ZERO_c_ZERO_c_0_p\"];\n91 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n148 [label=\"ACK_plus_SYN_p_FRESH_c_NEXT_c_0_p\"];\n86 [label=\"RST_p_ZERO_c_ZERO_c_0_p\"];\n94 [label=\"TIMEOUT\"];\n99 [label=\"ACK_p_NEXT_c_CURRENT_c_0_p\"];\n85 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n52 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n61 [label=\"TIMEOUT\"];\n151 [label=\"ACK_p_NEXT_c_NEXT_c_0_p\"];\n56 [label=\"ACK_plus_RST_p_NEXT_c_CURRENT_c_0_p\"];\n8 -> 9  [label=\"ACCEPT:1.0\"];\n8 -> 76  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n8 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n8 -> 74  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n8 -> 87  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n8 -> 56  [label=\"CLOSE:1.0\"];\n8 -> 76  [label=\"CLOSECONNECTION:1.0\"];\n8 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n8 -> 49  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n8 -> 76  [label=\"LISTEN:1.0\"];\n8 -> 76  [label=\"RCV:1.0\"];\n8 -> 87  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n8 -> 76  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n8 -> 8  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n25 -> 103  [label=\"ACCEPT:1.0\"];\n25 -> 146  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n25 -> 146  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n25 -> 72  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n25 -> 66  [label=\"CLOSE:1.0\"];\n25 -> 72  [label=\"CLOSECONNECTION:1.0\"];\n25 -> 146  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n25 -> 72  [label=\"LISTEN:1.0\"];\n25 -> 72  [label=\"RCV:1.0\"];\n25 -> 72  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n25 -> 152  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n25 -> 146  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n107 -> 69  [label=\"ACCEPT:1.0\"];\n107 -> 69  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n107 -> 102  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n107 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n107 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n107 -> 69  [label=\"CLOSE:1.0\"];\n107 -> 155  [label=\"CLOSECONNECTION:1.0\"];\n107 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n107 -> 140  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n107 -> 69  [label=\"LISTEN:1.0\"];\n107 -> 7  [label=\"RCV:1.0\"];\n107 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n107 -> 69  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n107 -> 107  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n19 -> 97  [label=\"ACCEPT:1.0\"];\n19 -> 70  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n19 -> 70  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n19 -> 97  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n19 -> 66  [label=\"CLOSE:1.0\"];\n19 -> 97  [label=\"CLOSECONNECTION:1.0\"];\n19 -> 70  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n19 -> 73  [label=\"LISTEN:1.0\"];\n19 -> 97  [label=\"RCV:1.0\"];\n19 -> 97  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n19 -> 34  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n19 -> 70  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n132 -> 9  [label=\"ACCEPT:1.0\"];\n132 -> 9  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n132 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n132 -> 45  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n132 -> 14  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n132 -> 56  [label=\"CLOSE:1.0\"];\n132 -> 120  [label=\"CLOSECONNECTION:1.0\"];\n132 -> 92  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n132 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n132 -> 9  [label=\"LISTEN:1.0\"];\n132 -> 9  [label=\"RCV:1.0\"];\n132 -> 14  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n132 -> 9  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n132 -> 132  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n69 -> 69  [label=\"ACCEPT:1.0\"];\n69 -> 69  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n69 -> 102  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n69 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n69 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n69 -> 69  [label=\"CLOSE:1.0\"];\n69 -> 155  [label=\"CLOSECONNECTION:1.0\"];\n69 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n69 -> 140  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n69 -> 69  [label=\"LISTEN:1.0\"];\n69 -> 7  [label=\"RCV:1.0\"];\n69 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n69 -> 69  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n69 -> 107  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n36 -> 98  [label=\"ACCEPT:1.0\"];\n36 -> 36  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n36 -> 85  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n36 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n36 -> 72  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n36 -> 56  [label=\"CLOSE:1.0\"];\n36 -> 36  [label=\"CLOSECONNECTION:1.0\"];\n36 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n36 -> 127  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n36 -> 36  [label=\"LISTEN:1.0\"];\n36 -> 36  [label=\"RCV:1.0\"];\n36 -> 72  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n36 -> 36  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n36 -> 16  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n43 -> 94  [label=\"ACCEPT:1.0\"];\n43 -> 20  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n43 -> 20  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n43 -> 94  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n43 -> 66  [label=\"CLOSE:1.0\"];\n43 -> 87  [label=\"CLOSECONNECTION:1.0\"];\n43 -> 20  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n43 -> 94  [label=\"LISTEN:1.0\"];\n43 -> 94  [label=\"RCV:1.0\"];\n43 -> 94  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n43 -> 78  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n43 -> 20  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n143 -> 143  [label=\"ACCEPT:1.0\"];\n143 -> 143  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n143 -> 143  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n143 -> 94  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n143 -> 56  [label=\"CLOSE:1.0\"];\n143 -> 109  [label=\"CLOSECONNECTION:1.0\"];\n143 -> 143  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n143 -> 143  [label=\"LISTEN:1.0\"];\n143 -> 143  [label=\"RCV:1.0\"];\n143 -> 94  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n143 -> 143  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n143 -> 30  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n16 -> 98  [label=\"ACCEPT:1.0\"];\n16 -> 36  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n16 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n16 -> 85  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n16 -> 72  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n16 -> 56  [label=\"CLOSE:1.0\"];\n16 -> 36  [label=\"CLOSECONNECTION:1.0\"];\n16 -> 127  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n16 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n16 -> 36  [label=\"LISTEN:1.0\"];\n16 -> 36  [label=\"RCV:1.0\"];\n16 -> 72  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n16 -> 36  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n16 -> 16  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n11 -> 11  [label=\"ACCEPT:1.0\"];\n11 -> 11  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n11 -> 90  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n11 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n11 -> 11  [label=\"CLOSE:1.0\"];\n11 -> 11  [label=\"CLOSECONNECTION:1.0\"];\n11 -> 90  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n11 -> 11  [label=\"LISTEN:1.0\"];\n11 -> 11  [label=\"RCV:1.0\"];\n11 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n11 -> 90  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n11 -> 90  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n24 -> 136  [label=\"ACCEPT:1.0\"];\n24 -> 136  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n24 -> 136  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n24 -> 103  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n24 -> 123  [label=\"CLOSE:1.0\"];\n24 -> 51  [label=\"CLOSECONNECTION:1.0\"];\n24 -> 136  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n24 -> 136  [label=\"LISTEN:1.0\"];\n24 -> 136  [label=\"RCV:1.0\"];\n24 -> 103  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n24 -> 136  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n24 -> 24  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n154 -> 18  [label=\"ACCEPT:1.0\"];\n154 -> 147  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n154 -> 147  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n154 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n154 -> 18  [label=\"CLOSE:1.0\"];\n154 -> 18  [label=\"CLOSECONNECTION:1.0\"];\n154 -> 147  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n154 -> 18  [label=\"LISTEN:1.0\"];\n154 -> 18  [label=\"RCV:1.0\"];\n154 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n154 -> 18  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n154 -> 99  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n90 -> 11  [label=\"ACCEPT:1.0\"];\n90 -> 11  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n90 -> 90  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n90 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n90 -> 11  [label=\"CLOSE:1.0\"];\n90 -> 11  [label=\"CLOSECONNECTION:1.0\"];\n90 -> 90  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n90 -> 11  [label=\"LISTEN:1.0\"];\n90 -> 11  [label=\"RCV:1.0\"];\n90 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n90 -> 90  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n90 -> 90  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n44 -> 66  [label=\"ACCEPT:1.0\"];\n44 -> 44  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n44 -> 44  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n44 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n44 -> 66  [label=\"CLOSE:1.0\"];\n44 -> 66  [label=\"CLOSECONNECTION:1.0\"];\n44 -> 44  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n44 -> 66  [label=\"LISTEN:1.0\"];\n44 -> 66  [label=\"RCV:1.0\"];\n44 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n44 -> 4  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n44 -> 44  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n27 -> 82  [label=\"ACCEPT:1.0\"];\n27 -> 106  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n27 -> 106  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n27 -> 73  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n27 -> 18  [label=\"CLOSE:1.0\"];\n27 -> 27  [label=\"CLOSECONNECTION:1.0\"];\n27 -> 106  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n27 -> 27  [label=\"LISTEN:1.0\"];\n27 -> 27  [label=\"RCV:1.0\"];\n27 -> 73  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n27 -> 27  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n27 -> 126  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n34 -> 97  [label=\"ACCEPT:1.0\"];\n34 -> 70  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n34 -> 70  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n34 -> 97  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n34 -> 66  [label=\"CLOSE:1.0\"];\n34 -> 97  [label=\"CLOSECONNECTION:1.0\"];\n34 -> 70  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n34 -> 73  [label=\"LISTEN:1.0\"];\n34 -> 97  [label=\"RCV:1.0\"];\n34 -> 97  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n34 -> 34  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n34 -> 70  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n60 -> 60  [label=\"ACCEPT:1.0\"];\n60 -> 60  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n60 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n60 -> 101  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n60 -> 94  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n60 -> 56  [label=\"CLOSE:1.0\"];\n60 -> 76  [label=\"CLOSECONNECTION:1.0\"];\n60 -> 52  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n60 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n60 -> 60  [label=\"LISTEN:1.0\"];\n60 -> 60  [label=\"RCV:1.0\"];\n60 -> 94  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n60 -> 60  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n60 -> 153  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n39 -> 89  [label=\"ACCEPT:1.0\"];\n39 -> 105  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n39 -> 32  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n39 -> 73  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n39 -> 35  [label=\"CLOSE:1.0\"];\n39 -> 122  [label=\"CLOSECONNECTION:1.0\"];\n39 -> 46  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n39 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n39 -> 122  [label=\"LISTEN:1.0\"];\n39 -> 122  [label=\"RCV:1.0\"];\n39 -> 73  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n39 -> 122  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n39 -> 67  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n112 -> 11  [label=\"ACCEPT:1.0\"];\n112 -> 11  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n112 -> 90  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n112 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n112 -> 11  [label=\"CLOSE:1.0\"];\n112 -> 11  [label=\"CLOSECONNECTION:1.0\"];\n112 -> 90  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n112 -> 11  [label=\"LISTEN:1.0\"];\n112 -> 11  [label=\"RCV:1.0\"];\n112 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n112 -> 90  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n112 -> 90  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n35 -> 35  [label=\"ACCEPT:1.0\"];\n35 -> 23  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n35 -> 47  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n35 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n35 -> 35  [label=\"CLOSE:1.0\"];\n35 -> 35  [label=\"CLOSECONNECTION:1.0\"];\n35 -> 112  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n35 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n35 -> 35  [label=\"LISTEN:1.0\"];\n35 -> 35  [label=\"RCV:1.0\"];\n35 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n35 -> 35  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n35 -> 96  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n46 -> 84  [label=\"ACCEPT:1.0\"];\n46 -> 41  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n46 -> 64  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n46 -> 73  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n46 -> 11  [label=\"CLOSE:1.0\"];\n46 -> 41  [label=\"CLOSECONNECTION:1.0\"];\n46 -> 64  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n46 -> 41  [label=\"LISTEN:1.0\"];\n46 -> 41  [label=\"RCV:1.0\"];\n46 -> 73  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n46 -> 64  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n46 -> 64  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n81 -> 113  [label=\"ACCEPT:1.0\"];\n81 -> 113  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n81 -> 113  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n81 -> 14  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n81 -> 56  [label=\"CLOSE:1.0\"];\n81 -> 61  [label=\"CLOSECONNECTION:1.0\"];\n81 -> 113  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n81 -> 113  [label=\"LISTEN:1.0\"];\n81 -> 113  [label=\"RCV:1.0\"];\n81 -> 14  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n81 -> 113  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n81 -> 81  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n114 -> 1  [label=\"ACCEPT:1.0\"];\n114 -> 61  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n114 -> 61  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n114 -> 72  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n114 -> 56  [label=\"CLOSE:1.0\"];\n114 -> 61  [label=\"CLOSECONNECTION:1.0\"];\n114 -> 61  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n114 -> 61  [label=\"LISTEN:1.0\"];\n114 -> 61  [label=\"RCV:1.0\"];\n114 -> 72  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n114 -> 61  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n114 -> 114  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n10 -> 10  [label=\"ACCEPT:1.0\"];\n10 -> 10  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n10 -> 101  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n10 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n10 -> 94  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n10 -> 56  [label=\"CLOSE:1.0\"];\n10 -> 95  [label=\"CLOSECONNECTION:1.0\"];\n10 -> 53  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n10 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n10 -> 10  [label=\"LISTEN:1.0\"];\n10 -> 10  [label=\"RCV:1.0\"];\n10 -> 94  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n10 -> 10  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n10 -> 142  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n22 -> 129  [label=\"ACCEPT:1.0\"];\n22 -> 9  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n22 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n22 -> 45  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n22 -> 103  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n22 -> 147  [label=\"CLOSE:1.0\"];\n22 -> 137  [label=\"CLOSECONNECTION:1.0\"];\n22 -> 92  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n22 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n22 -> 129  [label=\"LISTEN:1.0\"];\n22 -> 129  [label=\"RCV:1.0\"];\n22 -> 103  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n22 -> 28  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n22 -> 88  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n109 -> 113  [label=\"ACCEPT:1.0\"];\n109 -> 109  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n109 -> 109  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n109 -> 87  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n109 -> 56  [label=\"CLOSE:1.0\"];\n109 -> 109  [label=\"CLOSECONNECTION:1.0\"];\n109 -> 109  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n109 -> 109  [label=\"LISTEN:1.0\"];\n109 -> 109  [label=\"RCV:1.0\"];\n109 -> 87  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n109 -> 109  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n109 -> 38  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n76 -> 9  [label=\"ACCEPT:1.0\"];\n76 -> 76  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n76 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n76 -> 74  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n76 -> 87  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n76 -> 56  [label=\"CLOSE:1.0\"];\n76 -> 76  [label=\"CLOSECONNECTION:1.0\"];\n76 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n76 -> 49  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n76 -> 76  [label=\"LISTEN:1.0\"];\n76 -> 76  [label=\"RCV:1.0\"];\n76 -> 87  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n76 -> 76  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n76 -> 8  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n150 -> 150  [label=\"ACCEPT:1.0\"];\n150 -> 60  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n150 -> 101  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n150 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n150 -> 14  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n150 -> 147  [label=\"CLOSE:1.0\"];\n150 -> 79  [label=\"CLOSECONNECTION:1.0\"];\n150 -> 52  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n150 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n150 -> 150  [label=\"LISTEN:1.0\"];\n150 -> 150  [label=\"RCV:1.0\"];\n150 -> 14  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n150 -> 111  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n150 -> 115  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n18 -> 18  [label=\"ACCEPT:1.0\"];\n18 -> 147  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n18 -> 147  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n18 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n18 -> 18  [label=\"CLOSE:1.0\"];\n18 -> 18  [label=\"CLOSECONNECTION:1.0\"];\n18 -> 147  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n18 -> 18  [label=\"LISTEN:1.0\"];\n18 -> 18  [label=\"RCV:1.0\"];\n18 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n18 -> 18  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n18 -> 99  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n155 -> 35  [label=\"ACCEPT:1.0\"];\n155 -> 23  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n155 -> 47  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n155 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n155 -> 35  [label=\"CLOSE:1.0\"];\n155 -> 35  [label=\"CLOSECONNECTION:1.0\"];\n155 -> 112  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n155 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n155 -> 35  [label=\"LISTEN:1.0\"];\n155 -> 35  [label=\"RCV:1.0\"];\n155 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n155 -> 35  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n155 -> 96  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n84 -> 84  [label=\"ACCEPT:1.0\"];\n84 -> 84  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n84 -> 68  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n84 -> 0  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n84 -> 11  [label=\"CLOSE:1.0\"];\n84 -> 41  [label=\"CLOSECONNECTION:1.0\"];\n84 -> 68  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n84 -> 84  [label=\"LISTEN:1.0\"];\n84 -> 84  [label=\"RCV:1.0\"];\n84 -> 0  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n84 -> 68  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n84 -> 68  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n64 -> 84  [label=\"ACCEPT:1.0\"];\n64 -> 41  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n64 -> 64  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n64 -> 73  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n64 -> 11  [label=\"CLOSE:1.0\"];\n64 -> 41  [label=\"CLOSECONNECTION:1.0\"];\n64 -> 64  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n64 -> 41  [label=\"LISTEN:1.0\"];\n64 -> 41  [label=\"RCV:1.0\"];\n64 -> 73  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n64 -> 64  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n64 -> 64  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n1 -> 1  [label=\"ACCEPT:1.0\"];\n1 -> 1  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n1 -> 1  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n1 -> 103  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n1 -> 6  [label=\"CLOSE:1.0\"];\n1 -> 75  [label=\"CLOSECONNECTION:1.0\"];\n1 -> 1  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n1 -> 1  [label=\"LISTEN:1.0\"];\n1 -> 136  [label=\"RCV:1.0\"];\n1 -> 103  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n1 -> 1  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n1 -> 37  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n116 -> 97  [label=\"ACCEPT:1.0\"];\n116 -> 70  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n116 -> 70  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n116 -> 97  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n116 -> 66  [label=\"CLOSE:1.0\"];\n116 -> 97  [label=\"CLOSECONNECTION:1.0\"];\n116 -> 70  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n116 -> 73  [label=\"LISTEN:1.0\"];\n116 -> 97  [label=\"RCV:1.0\"];\n116 -> 97  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n116 -> 34  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n116 -> 70  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n130 -> 149  [label=\"ACCEPT:1.0\"];\n130 -> 149  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n130 -> 149  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n130 -> 14  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n130 -> 56  [label=\"CLOSE:1.0\"];\n130 -> 80  [label=\"CLOSECONNECTION:1.0\"];\n130 -> 149  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n130 -> 149  [label=\"LISTEN:1.0\"];\n130 -> 149  [label=\"RCV:1.0\"];\n130 -> 14  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n130 -> 149  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n130 -> 130  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n49 -> 149  [label=\"ACCEPT:1.0\"];\n49 -> 65  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n49 -> 65  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n49 -> 87  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n49 -> 56  [label=\"CLOSE:1.0\"];\n49 -> 65  [label=\"CLOSECONNECTION:1.0\"];\n49 -> 65  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n49 -> 65  [label=\"LISTEN:1.0\"];\n49 -> 65  [label=\"RCV:1.0\"];\n49 -> 87  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n49 -> 65  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n49 -> 110  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n115 -> 14  [label=\"ACCEPT:1.0\"];\n115 -> 63  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n115 -> 63  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n115 -> 14  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n115 -> 66  [label=\"CLOSE:1.0\"];\n115 -> 72  [label=\"CLOSECONNECTION:1.0\"];\n115 -> 63  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n115 -> 14  [label=\"LISTEN:1.0\"];\n115 -> 14  [label=\"RCV:1.0\"];\n115 -> 14  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n115 -> 29  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n115 -> 63  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n9 -> 9  [label=\"ACCEPT:1.0\"];\n9 -> 9  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n9 -> 45  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n9 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n9 -> 14  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n9 -> 56  [label=\"CLOSE:1.0\"];\n9 -> 120  [label=\"CLOSECONNECTION:1.0\"];\n9 -> 92  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n9 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n9 -> 9  [label=\"LISTEN:1.0\"];\n9 -> 9  [label=\"RCV:1.0\"];\n9 -> 14  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n9 -> 9  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n9 -> 132  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n138 -> 6  [label=\"ACCEPT:1.0\"];\n138 -> 6  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n138 -> 6  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n138 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n138 -> 6  [label=\"CLOSE:1.0\"];\n138 -> 56  [label=\"CLOSECONNECTION:1.0\"];\n138 -> 6  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n138 -> 6  [label=\"LISTEN:1.0\"];\n138 -> 123  [label=\"RCV:1.0\"];\n138 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n138 -> 6  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n138 -> 138  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n29 -> 150  [label=\"ACCEPT:1.0\"];\n29 -> 60  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n29 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n29 -> 101  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n29 -> 14  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n29 -> 147  [label=\"CLOSE:1.0\"];\n29 -> 79  [label=\"CLOSECONNECTION:1.0\"];\n29 -> 52  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n29 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n29 -> 150  [label=\"LISTEN:1.0\"];\n29 -> 150  [label=\"RCV:1.0\"];\n29 -> 14  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n29 -> 111  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n29 -> 115  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n140 -> 123  [label=\"ACCEPT:1.0\"];\n140 -> 123  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n140 -> 123  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n140 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n140 -> 123  [label=\"CLOSE:1.0\"];\n140 -> 154  [label=\"CLOSECONNECTION:1.0\"];\n140 -> 123  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n140 -> 123  [label=\"LISTEN:1.0\"];\n140 -> 123  [label=\"RCV:1.0\"];\n140 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n140 -> 123  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n140 -> 83  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n100 -> 100  [label=\"ACCEPT:1.0\"];\n100 -> 58  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n100 -> 58  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n100 -> 0  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n100 -> 147  [label=\"CLOSE:1.0\"];\n100 -> 106  [label=\"CLOSECONNECTION:1.0\"];\n100 -> 58  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n100 -> 100  [label=\"LISTEN:1.0\"];\n100 -> 100  [label=\"RCV:1.0\"];\n100 -> 0  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n100 -> 21  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n100 -> 58  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n74 -> 62  [label=\"ACCEPT:1.0\"];\n74 -> 95  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n74 -> 74  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n74 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n74 -> 87  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n74 -> 56  [label=\"CLOSE:1.0\"];\n74 -> 95  [label=\"CLOSECONNECTION:1.0\"];\n74 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n74 -> 59  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n74 -> 95  [label=\"LISTEN:1.0\"];\n74 -> 95  [label=\"RCV:1.0\"];\n74 -> 87  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n74 -> 95  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n74 -> 93  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n21 -> 55  [label=\"ACCEPT:1.0\"];\n21 -> 48  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n21 -> 31  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n21 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n21 -> 0  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n21 -> 147  [label=\"CLOSE:1.0\"];\n21 -> 137  [label=\"CLOSECONNECTION:1.0\"];\n21 -> 40  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n21 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n21 -> 55  [label=\"LISTEN:1.0\"];\n21 -> 55  [label=\"RCV:1.0\"];\n21 -> 0  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n21 -> 131  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n21 -> 58  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n42 -> 42  [label=\"ACCEPT:1.0\"];\n42 -> 42  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n42 -> 42  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n42 -> 94  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n42 -> 147  [label=\"CLOSE:1.0\"];\n42 -> 144  [label=\"CLOSECONNECTION:1.0\"];\n42 -> 42  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n42 -> 42  [label=\"LISTEN:1.0\"];\n42 -> 42  [label=\"RCV:1.0\"];\n42 -> 94  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n42 -> 135  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n42 -> 43  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n108 -> 108  [label=\"ACCEPT:1.0\"];\n108 -> 108  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n108 -> 58  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n108 -> 0  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n108 -> 23  [label=\"CLOSE:1.0\"];\n108 -> 105  [label=\"CLOSECONNECTION:1.0\"];\n108 -> 151  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n108 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n108 -> 108  [label=\"LISTEN:1.0\"];\n108 -> 108  [label=\"RCV:1.0\"];\n108 -> 0  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n108 -> 131  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n108 -> 58  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n135 -> 94  [label=\"ACCEPT:1.0\"];\n135 -> 20  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n135 -> 20  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n135 -> 94  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n135 -> 66  [label=\"CLOSE:1.0\"];\n135 -> 87  [label=\"CLOSECONNECTION:1.0\"];\n135 -> 20  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n135 -> 94  [label=\"LISTEN:1.0\"];\n135 -> 94  [label=\"RCV:1.0\"];\n135 -> 94  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n135 -> 78  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n135 -> 20  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n32 -> 0  [label=\"ACCEPT:1.0\"];\n32 -> 121  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n32 -> 121  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n32 -> 73  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n32 -> 66  [label=\"CLOSE:1.0\"];\n32 -> 73  [label=\"CLOSECONNECTION:1.0\"];\n32 -> 121  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n32 -> 73  [label=\"LISTEN:1.0\"];\n32 -> 73  [label=\"RCV:1.0\"];\n32 -> 73  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n32 -> 148  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n32 -> 121  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n149 -> 149  [label=\"ACCEPT:1.0\"];\n149 -> 149  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n149 -> 149  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n149 -> 14  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n149 -> 56  [label=\"CLOSE:1.0\"];\n149 -> 80  [label=\"CLOSECONNECTION:1.0\"];\n149 -> 149  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n149 -> 149  [label=\"LISTEN:1.0\"];\n149 -> 149  [label=\"RCV:1.0\"];\n149 -> 14  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n149 -> 149  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n149 -> 130  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n96 -> 35  [label=\"ACCEPT:1.0\"];\n96 -> 23  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n96 -> 47  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n96 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n96 -> 35  [label=\"CLOSE:1.0\"];\n96 -> 35  [label=\"CLOSECONNECTION:1.0\"];\n96 -> 112  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n96 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n96 -> 35  [label=\"LISTEN:1.0\"];\n96 -> 35  [label=\"RCV:1.0\"];\n96 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n96 -> 35  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n96 -> 96  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n33 -> 33  [label=\"ACCEPT:1.0\"];\n33 -> 33  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n33 -> 33  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n33 -> 94  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n33 -> 56  [label=\"CLOSE:1.0\"];\n33 -> 65  [label=\"CLOSECONNECTION:1.0\"];\n33 -> 33  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n33 -> 33  [label=\"LISTEN:1.0\"];\n33 -> 33  [label=\"RCV:1.0\"];\n33 -> 94  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n33 -> 33  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n33 -> 128  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n0 -> 0  [label=\"ACCEPT:1.0\"];\n0 -> 86  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n0 -> 86  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n0 -> 0  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n0 -> 66  [label=\"CLOSE:1.0\"];\n0 -> 73  [label=\"CLOSECONNECTION:1.0\"];\n0 -> 86  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n0 -> 0  [label=\"LISTEN:1.0\"];\n0 -> 0  [label=\"RCV:1.0\"];\n0 -> 0  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n0 -> 21  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n0 -> 86  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n30 -> 143  [label=\"ACCEPT:1.0\"];\n30 -> 143  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n30 -> 143  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n30 -> 94  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n30 -> 56  [label=\"CLOSE:1.0\"];\n30 -> 109  [label=\"CLOSECONNECTION:1.0\"];\n30 -> 143  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n30 -> 143  [label=\"LISTEN:1.0\"];\n30 -> 143  [label=\"RCV:1.0\"];\n30 -> 94  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n30 -> 143  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n30 -> 30  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n124 -> 124  [label=\"ACCEPT:1.0\"];\n124 -> 124  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n124 -> 102  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n124 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n124 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n124 -> 124  [label=\"CLOSE:1.0\"];\n124 -> 56  [label=\"CLOSECONNECTION:1.0\"];\n124 -> 17  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n124 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n124 -> 124  [label=\"LISTEN:1.0\"];\n124 -> 69  [label=\"RCV:1.0\"];\n124 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n124 -> 124  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n124 -> 77  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n41 -> 84  [label=\"ACCEPT:1.0\"];\n41 -> 41  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n41 -> 64  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n41 -> 73  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n41 -> 11  [label=\"CLOSE:1.0\"];\n41 -> 41  [label=\"CLOSECONNECTION:1.0\"];\n41 -> 64  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n41 -> 41  [label=\"LISTEN:1.0\"];\n41 -> 41  [label=\"RCV:1.0\"];\n41 -> 73  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n41 -> 64  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n41 -> 64  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n5 -> 119  [label=\"ACCEPT:1.0\"];\n5 -> 119  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n5 -> 133  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n5 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n5 -> 103  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n5 -> 69  [label=\"CLOSE:1.0\"];\n5 -> 39  [label=\"CLOSECONNECTION:1.0\"];\n5 -> 40  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n5 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n5 -> 119  [label=\"LISTEN:1.0\"];\n5 -> 119  [label=\"RCV:1.0\"];\n5 -> 103  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n5 -> 119  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n5 -> 5  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n66 -> 66  [label=\"ACCEPT:1.0\"];\n66 -> 44  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n66 -> 44  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n66 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n66 -> 66  [label=\"CLOSE:1.0\"];\n66 -> 66  [label=\"CLOSECONNECTION:1.0\"];\n66 -> 44  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n66 -> 66  [label=\"LISTEN:1.0\"];\n66 -> 66  [label=\"RCV:1.0\"];\n66 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n66 -> 4  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n66 -> 44  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n71 -> 89  [label=\"ACCEPT:1.0\"];\n71 -> 108  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n71 -> 58  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n71 -> 0  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n71 -> 35  [label=\"CLOSE:1.0\"];\n71 -> 122  [label=\"CLOSECONNECTION:1.0\"];\n71 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n71 -> 151  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n71 -> 89  [label=\"LISTEN:1.0\"];\n71 -> 89  [label=\"RCV:1.0\"];\n71 -> 0  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n71 -> 89  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n71 -> 71  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n38 -> 113  [label=\"ACCEPT:1.0\"];\n38 -> 109  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n38 -> 109  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n38 -> 87  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n38 -> 56  [label=\"CLOSE:1.0\"];\n38 -> 109  [label=\"CLOSECONNECTION:1.0\"];\n38 -> 109  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n38 -> 109  [label=\"LISTEN:1.0\"];\n38 -> 109  [label=\"RCV:1.0\"];\n38 -> 87  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n38 -> 109  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n38 -> 38  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n40 -> 136  [label=\"ACCEPT:1.0\"];\n40 -> 136  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n40 -> 136  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n40 -> 103  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n40 -> 123  [label=\"CLOSE:1.0\"];\n40 -> 51  [label=\"CLOSECONNECTION:1.0\"];\n40 -> 136  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n40 -> 136  [label=\"LISTEN:1.0\"];\n40 -> 136  [label=\"RCV:1.0\"];\n40 -> 103  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n40 -> 136  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n40 -> 24  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n13 -> 7  [label=\"ACCEPT:1.0\"];\n13 -> 7  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n13 -> 50  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n13 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n13 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n13 -> 69  [label=\"CLOSE:1.0\"];\n13 -> 155  [label=\"CLOSECONNECTION:1.0\"];\n13 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n13 -> 140  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n13 -> 7  [label=\"LISTEN:1.0\"];\n13 -> 7  [label=\"RCV:1.0\"];\n13 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n13 -> 7  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n13 -> 13  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n152 -> 129  [label=\"ACCEPT:1.0\"];\n152 -> 76  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n152 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n152 -> 74  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n152 -> 72  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n152 -> 147  [label=\"CLOSE:1.0\"];\n152 -> 79  [label=\"CLOSECONNECTION:1.0\"];\n152 -> 49  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n152 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n152 -> 79  [label=\"LISTEN:1.0\"];\n152 -> 79  [label=\"RCV:1.0\"];\n152 -> 72  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n152 -> 25  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n152 -> 15  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n153 -> 60  [label=\"ACCEPT:1.0\"];\n153 -> 60  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n153 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n153 -> 101  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n153 -> 94  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n153 -> 56  [label=\"CLOSE:1.0\"];\n153 -> 76  [label=\"CLOSECONNECTION:1.0\"];\n153 -> 52  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n153 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n153 -> 60  [label=\"LISTEN:1.0\"];\n153 -> 60  [label=\"RCV:1.0\"];\n153 -> 94  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n153 -> 60  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n153 -> 153  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n57 -> 14  [label=\"ACCEPT:1.0\"];\n57 -> 57  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n57 -> 57  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n57 -> 87  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n57 -> 66  [label=\"CLOSE:1.0\"];\n57 -> 87  [label=\"CLOSECONNECTION:1.0\"];\n57 -> 57  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n57 -> 87  [label=\"LISTEN:1.0\"];\n57 -> 87  [label=\"RCV:1.0\"];\n57 -> 87  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n57 -> 12  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n57 -> 57  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n78 -> 42  [label=\"ACCEPT:1.0\"];\n78 -> 42  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n78 -> 42  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n78 -> 94  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n78 -> 147  [label=\"CLOSE:1.0\"];\n78 -> 144  [label=\"CLOSECONNECTION:1.0\"];\n78 -> 42  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n78 -> 42  [label=\"LISTEN:1.0\"];\n78 -> 42  [label=\"RCV:1.0\"];\n78 -> 94  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n78 -> 135  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n78 -> 43  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n82 -> 82  [label=\"ACCEPT:1.0\"];\n82 -> 100  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n82 -> 100  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n82 -> 0  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n82 -> 18  [label=\"CLOSE:1.0\"];\n82 -> 27  [label=\"CLOSECONNECTION:1.0\"];\n82 -> 100  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n82 -> 82  [label=\"LISTEN:1.0\"];\n82 -> 82  [label=\"RCV:1.0\"];\n82 -> 0  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n82 -> 82  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n82 -> 3  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n31 -> 98  [label=\"ACCEPT:1.0\"];\n31 -> 98  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n31 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n31 -> 31  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n31 -> 103  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n31 -> 124  [label=\"CLOSE:1.0\"];\n31 -> 75  [label=\"CLOSECONNECTION:1.0\"];\n31 -> 125  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n31 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n31 -> 98  [label=\"LISTEN:1.0\"];\n31 -> 48  [label=\"RCV:1.0\"];\n31 -> 103  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n31 -> 98  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n31 -> 2  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n128 -> 33  [label=\"ACCEPT:1.0\"];\n128 -> 33  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n128 -> 33  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n128 -> 94  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n128 -> 56  [label=\"CLOSE:1.0\"];\n128 -> 65  [label=\"CLOSECONNECTION:1.0\"];\n128 -> 33  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n128 -> 33  [label=\"LISTEN:1.0\"];\n128 -> 33  [label=\"RCV:1.0\"];\n128 -> 94  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n128 -> 33  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n128 -> 128  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n65 -> 149  [label=\"ACCEPT:1.0\"];\n65 -> 65  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n65 -> 65  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n65 -> 87  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n65 -> 56  [label=\"CLOSE:1.0\"];\n65 -> 65  [label=\"CLOSECONNECTION:1.0\"];\n65 -> 65  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n65 -> 65  [label=\"LISTEN:1.0\"];\n65 -> 65  [label=\"RCV:1.0\"];\n65 -> 87  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n65 -> 65  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n65 -> 110  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n12 -> 150  [label=\"ACCEPT:1.0\"];\n12 -> 144  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n12 -> 144  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n12 -> 87  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n12 -> 147  [label=\"CLOSE:1.0\"];\n12 -> 144  [label=\"CLOSECONNECTION:1.0\"];\n12 -> 144  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n12 -> 144  [label=\"LISTEN:1.0\"];\n12 -> 144  [label=\"RCV:1.0\"];\n12 -> 87  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n12 -> 54  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n12 -> 104  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n58 -> 0  [label=\"ACCEPT:1.0\"];\n58 -> 86  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n58 -> 86  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n58 -> 0  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n58 -> 66  [label=\"CLOSE:1.0\"];\n58 -> 73  [label=\"CLOSECONNECTION:1.0\"];\n58 -> 86  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n58 -> 0  [label=\"LISTEN:1.0\"];\n58 -> 0  [label=\"RCV:1.0\"];\n58 -> 0  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n58 -> 21  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n58 -> 86  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n123 -> 123  [label=\"ACCEPT:1.0\"];\n123 -> 123  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n123 -> 123  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n123 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n123 -> 123  [label=\"CLOSE:1.0\"];\n123 -> 154  [label=\"CLOSECONNECTION:1.0\"];\n123 -> 123  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n123 -> 123  [label=\"LISTEN:1.0\"];\n123 -> 123  [label=\"RCV:1.0\"];\n123 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n123 -> 123  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n123 -> 83  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n7 -> 7  [label=\"ACCEPT:1.0\"];\n7 -> 7  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n7 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n7 -> 50  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n7 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n7 -> 69  [label=\"CLOSE:1.0\"];\n7 -> 155  [label=\"CLOSECONNECTION:1.0\"];\n7 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n7 -> 140  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n7 -> 7  [label=\"LISTEN:1.0\"];\n7 -> 7  [label=\"RCV:1.0\"];\n7 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n7 -> 7  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n7 -> 13  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n54 -> 14  [label=\"ACCEPT:1.0\"];\n54 -> 57  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n54 -> 57  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n54 -> 87  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n54 -> 66  [label=\"CLOSE:1.0\"];\n54 -> 87  [label=\"CLOSECONNECTION:1.0\"];\n54 -> 57  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n54 -> 87  [label=\"LISTEN:1.0\"];\n54 -> 87  [label=\"RCV:1.0\"];\n54 -> 87  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n54 -> 12  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n54 -> 57  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n73 -> 0  [label=\"ACCEPT:1.0\"];\n73 -> 121  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n73 -> 121  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n73 -> 73  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n73 -> 66  [label=\"CLOSE:1.0\"];\n73 -> 73  [label=\"CLOSECONNECTION:1.0\"];\n73 -> 121  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n73 -> 73  [label=\"LISTEN:1.0\"];\n73 -> 73  [label=\"RCV:1.0\"];\n73 -> 73  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n73 -> 148  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n73 -> 121  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n37 -> 1  [label=\"ACCEPT:1.0\"];\n37 -> 1  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n37 -> 1  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n37 -> 103  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n37 -> 6  [label=\"CLOSE:1.0\"];\n37 -> 75  [label=\"CLOSECONNECTION:1.0\"];\n37 -> 1  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n37 -> 1  [label=\"LISTEN:1.0\"];\n37 -> 136  [label=\"RCV:1.0\"];\n37 -> 103  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n37 -> 1  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n37 -> 37  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n47 -> 66  [label=\"ACCEPT:1.0\"];\n47 -> 44  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n47 -> 44  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n47 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n47 -> 66  [label=\"CLOSE:1.0\"];\n47 -> 66  [label=\"CLOSECONNECTION:1.0\"];\n47 -> 44  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n47 -> 66  [label=\"LISTEN:1.0\"];\n47 -> 66  [label=\"RCV:1.0\"];\n47 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n47 -> 4  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n47 -> 44  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n98 -> 98  [label=\"ACCEPT:1.0\"];\n98 -> 98  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n98 -> 31  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n98 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n98 -> 103  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n98 -> 124  [label=\"CLOSE:1.0\"];\n98 -> 75  [label=\"CLOSECONNECTION:1.0\"];\n98 -> 125  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n98 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n98 -> 98  [label=\"LISTEN:1.0\"];\n98 -> 48  [label=\"RCV:1.0\"];\n98 -> 103  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n98 -> 98  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n98 -> 2  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n48 -> 48  [label=\"ACCEPT:1.0\"];\n48 -> 48  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n48 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n48 -> 31  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n48 -> 103  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n48 -> 69  [label=\"CLOSE:1.0\"];\n48 -> 39  [label=\"CLOSECONNECTION:1.0\"];\n48 -> 40  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n48 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n48 -> 48  [label=\"LISTEN:1.0\"];\n48 -> 119  [label=\"RCV:1.0\"];\n48 -> 103  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n48 -> 48  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n48 -> 91  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n101 -> 10  [label=\"ACCEPT:1.0\"];\n101 -> 10  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n101 -> 101  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n101 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n101 -> 94  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n101 -> 56  [label=\"CLOSE:1.0\"];\n101 -> 95  [label=\"CLOSECONNECTION:1.0\"];\n101 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n101 -> 53  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n101 -> 10  [label=\"LISTEN:1.0\"];\n101 -> 10  [label=\"RCV:1.0\"];\n101 -> 94  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n101 -> 10  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n101 -> 142  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n106 -> 100  [label=\"ACCEPT:1.0\"];\n106 -> 32  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n106 -> 32  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n106 -> 73  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n106 -> 147  [label=\"CLOSE:1.0\"];\n106 -> 106  [label=\"CLOSECONNECTION:1.0\"];\n106 -> 32  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n106 -> 106  [label=\"LISTEN:1.0\"];\n106 -> 106  [label=\"RCV:1.0\"];\n106 -> 73  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n106 -> 148  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n106 -> 32  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n134 -> 136  [label=\"ACCEPT:1.0\"];\n134 -> 80  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n134 -> 80  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n134 -> 72  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n134 -> 56  [label=\"CLOSE:1.0\"];\n134 -> 80  [label=\"CLOSECONNECTION:1.0\"];\n134 -> 80  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n134 -> 80  [label=\"LISTEN:1.0\"];\n134 -> 80  [label=\"RCV:1.0\"];\n134 -> 72  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n134 -> 80  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n134 -> 141  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n23 -> 23  [label=\"ACCEPT:1.0\"];\n23 -> 23  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n23 -> 47  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n23 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n23 -> 23  [label=\"CLOSE:1.0\"];\n23 -> 23  [label=\"CLOSECONNECTION:1.0\"];\n23 -> 112  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n23 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n23 -> 23  [label=\"LISTEN:1.0\"];\n23 -> 23  [label=\"RCV:1.0\"];\n23 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n23 -> 4  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n23 -> 47  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n89 -> 89  [label=\"ACCEPT:1.0\"];\n89 -> 108  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n89 -> 58  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n89 -> 0  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n89 -> 35  [label=\"CLOSE:1.0\"];\n89 -> 122  [label=\"CLOSECONNECTION:1.0\"];\n89 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n89 -> 151  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n89 -> 89  [label=\"LISTEN:1.0\"];\n89 -> 89  [label=\"RCV:1.0\"];\n89 -> 0  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n89 -> 89  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n89 -> 71  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n125 -> 1  [label=\"ACCEPT:1.0\"];\n125 -> 1  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n125 -> 1  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n125 -> 103  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n125 -> 6  [label=\"CLOSE:1.0\"];\n125 -> 75  [label=\"CLOSECONNECTION:1.0\"];\n125 -> 1  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n125 -> 1  [label=\"LISTEN:1.0\"];\n125 -> 136  [label=\"RCV:1.0\"];\n125 -> 103  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n125 -> 1  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n125 -> 37  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n147 -> 147  [label=\"ACCEPT:1.0\"];\n147 -> 47  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n147 -> 47  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n147 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n147 -> 147  [label=\"CLOSE:1.0\"];\n147 -> 147  [label=\"CLOSECONNECTION:1.0\"];\n147 -> 47  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n147 -> 147  [label=\"LISTEN:1.0\"];\n147 -> 147  [label=\"RCV:1.0\"];\n147 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n147 -> 4  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n147 -> 47  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n92 -> 149  [label=\"ACCEPT:1.0\"];\n92 -> 149  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n92 -> 149  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n92 -> 14  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n92 -> 56  [label=\"CLOSE:1.0\"];\n92 -> 80  [label=\"CLOSECONNECTION:1.0\"];\n92 -> 149  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n92 -> 149  [label=\"LISTEN:1.0\"];\n92 -> 149  [label=\"RCV:1.0\"];\n92 -> 14  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n92 -> 149  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n92 -> 130  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n3 -> 82  [label=\"ACCEPT:1.0\"];\n3 -> 100  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n3 -> 100  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n3 -> 0  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n3 -> 18  [label=\"CLOSE:1.0\"];\n3 -> 27  [label=\"CLOSECONNECTION:1.0\"];\n3 -> 100  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n3 -> 82  [label=\"LISTEN:1.0\"];\n3 -> 82  [label=\"RCV:1.0\"];\n3 -> 0  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n3 -> 82  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n3 -> 3  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n59 -> 113  [label=\"ACCEPT:1.0\"];\n59 -> 109  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n59 -> 109  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n59 -> 87  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n59 -> 56  [label=\"CLOSE:1.0\"];\n59 -> 109  [label=\"CLOSECONNECTION:1.0\"];\n59 -> 109  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n59 -> 109  [label=\"LISTEN:1.0\"];\n59 -> 109  [label=\"RCV:1.0\"];\n59 -> 87  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n59 -> 109  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n59 -> 38  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n97 -> 97  [label=\"ACCEPT:1.0\"];\n97 -> 70  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n97 -> 70  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n97 -> 97  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n97 -> 66  [label=\"CLOSE:1.0\"];\n97 -> 97  [label=\"CLOSECONNECTION:1.0\"];\n97 -> 70  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n97 -> 73  [label=\"LISTEN:1.0\"];\n97 -> 97  [label=\"RCV:1.0\"];\n97 -> 97  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n97 -> 34  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n97 -> 70  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n26 -> 113  [label=\"ACCEPT:1.0\"];\n26 -> 113  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n26 -> 113  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n26 -> 14  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n26 -> 56  [label=\"CLOSE:1.0\"];\n26 -> 61  [label=\"CLOSECONNECTION:1.0\"];\n26 -> 113  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n26 -> 113  [label=\"LISTEN:1.0\"];\n26 -> 113  [label=\"RCV:1.0\"];\n26 -> 14  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n26 -> 113  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n26 -> 81  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n88 -> 103  [label=\"ACCEPT:1.0\"];\n88 -> 145  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n88 -> 145  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n88 -> 103  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n88 -> 66  [label=\"CLOSE:1.0\"];\n88 -> 73  [label=\"CLOSECONNECTION:1.0\"];\n88 -> 145  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n88 -> 103  [label=\"LISTEN:1.0\"];\n88 -> 103  [label=\"RCV:1.0\"];\n88 -> 103  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n88 -> 22  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n88 -> 145  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n122 -> 89  [label=\"ACCEPT:1.0\"];\n122 -> 105  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n122 -> 32  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n122 -> 73  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n122 -> 35  [label=\"CLOSE:1.0\"];\n122 -> 122  [label=\"CLOSECONNECTION:1.0\"];\n122 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n122 -> 46  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n122 -> 122  [label=\"LISTEN:1.0\"];\n122 -> 122  [label=\"RCV:1.0\"];\n122 -> 73  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n122 -> 122  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n122 -> 67  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n17 -> 6  [label=\"ACCEPT:1.0\"];\n17 -> 6  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n17 -> 6  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n17 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n17 -> 6  [label=\"CLOSE:1.0\"];\n17 -> 56  [label=\"CLOSECONNECTION:1.0\"];\n17 -> 6  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n17 -> 6  [label=\"LISTEN:1.0\"];\n17 -> 123  [label=\"RCV:1.0\"];\n17 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n17 -> 6  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n17 -> 138  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n6 -> 6  [label=\"ACCEPT:1.0\"];\n6 -> 6  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n6 -> 6  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n6 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n6 -> 6  [label=\"CLOSE:1.0\"];\n6 -> 56  [label=\"CLOSECONNECTION:1.0\"];\n6 -> 6  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n6 -> 6  [label=\"LISTEN:1.0\"];\n6 -> 123  [label=\"RCV:1.0\"];\n6 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n6 -> 6  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n6 -> 138  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n105 -> 108  [label=\"ACCEPT:1.0\"];\n105 -> 105  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n105 -> 32  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n105 -> 73  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n105 -> 23  [label=\"CLOSE:1.0\"];\n105 -> 105  [label=\"CLOSECONNECTION:1.0\"];\n105 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n105 -> 46  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n105 -> 105  [label=\"LISTEN:1.0\"];\n105 -> 105  [label=\"RCV:1.0\"];\n105 -> 73  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n105 -> 139  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n105 -> 32  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n50 -> 69  [label=\"ACCEPT:1.0\"];\n50 -> 69  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n50 -> 102  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n50 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n50 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n50 -> 69  [label=\"CLOSE:1.0\"];\n50 -> 155  [label=\"CLOSECONNECTION:1.0\"];\n50 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n50 -> 140  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n50 -> 69  [label=\"LISTEN:1.0\"];\n50 -> 7  [label=\"RCV:1.0\"];\n50 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n50 -> 69  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n50 -> 107  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n72 -> 103  [label=\"ACCEPT:1.0\"];\n72 -> 146  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n72 -> 146  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n72 -> 72  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n72 -> 66  [label=\"CLOSE:1.0\"];\n72 -> 72  [label=\"CLOSECONNECTION:1.0\"];\n72 -> 146  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n72 -> 72  [label=\"LISTEN:1.0\"];\n72 -> 72  [label=\"RCV:1.0\"];\n72 -> 72  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n72 -> 152  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n72 -> 146  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n15 -> 103  [label=\"ACCEPT:1.0\"];\n15 -> 146  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n15 -> 146  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n15 -> 72  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n15 -> 66  [label=\"CLOSE:1.0\"];\n15 -> 72  [label=\"CLOSECONNECTION:1.0\"];\n15 -> 146  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n15 -> 72  [label=\"LISTEN:1.0\"];\n15 -> 72  [label=\"RCV:1.0\"];\n15 -> 72  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n15 -> 152  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n15 -> 146  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n28 -> 103  [label=\"ACCEPT:1.0\"];\n28 -> 145  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n28 -> 145  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n28 -> 103  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n28 -> 66  [label=\"CLOSE:1.0\"];\n28 -> 73  [label=\"CLOSECONNECTION:1.0\"];\n28 -> 145  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n28 -> 103  [label=\"LISTEN:1.0\"];\n28 -> 103  [label=\"RCV:1.0\"];\n28 -> 103  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n28 -> 22  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n28 -> 145  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n111 -> 14  [label=\"ACCEPT:1.0\"];\n111 -> 63  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n111 -> 63  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n111 -> 14  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n111 -> 66  [label=\"CLOSE:1.0\"];\n111 -> 72  [label=\"CLOSECONNECTION:1.0\"];\n111 -> 63  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n111 -> 14  [label=\"LISTEN:1.0\"];\n111 -> 14  [label=\"RCV:1.0\"];\n111 -> 14  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n111 -> 29  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n111 -> 63  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n14 -> 14  [label=\"ACCEPT:1.0\"];\n14 -> 63  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n14 -> 63  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n14 -> 14  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n14 -> 66  [label=\"CLOSE:1.0\"];\n14 -> 72  [label=\"CLOSECONNECTION:1.0\"];\n14 -> 63  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n14 -> 14  [label=\"LISTEN:1.0\"];\n14 -> 14  [label=\"RCV:1.0\"];\n14 -> 14  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n14 -> 29  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n14 -> 63  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n75 -> 0  [label=\"ACCEPT:1.0\"];\n75 -> 121  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n75 -> 121  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n75 -> 73  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n75 -> 66  [label=\"CLOSE:1.0\"];\n75 -> 73  [label=\"CLOSECONNECTION:1.0\"];\n75 -> 121  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n75 -> 73  [label=\"LISTEN:1.0\"];\n75 -> 73  [label=\"RCV:1.0\"];\n75 -> 73  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n75 -> 148  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n75 -> 121  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n113 -> 113  [label=\"ACCEPT:1.0\"];\n113 -> 113  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n113 -> 113  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n113 -> 14  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n113 -> 56  [label=\"CLOSE:1.0\"];\n113 -> 61  [label=\"CLOSECONNECTION:1.0\"];\n113 -> 113  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n113 -> 113  [label=\"LISTEN:1.0\"];\n113 -> 113  [label=\"RCV:1.0\"];\n113 -> 14  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n113 -> 113  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n113 -> 81  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n80 -> 136  [label=\"ACCEPT:1.0\"];\n80 -> 80  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n80 -> 80  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n80 -> 72  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n80 -> 56  [label=\"CLOSE:1.0\"];\n80 -> 80  [label=\"CLOSECONNECTION:1.0\"];\n80 -> 80  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n80 -> 80  [label=\"LISTEN:1.0\"];\n80 -> 80  [label=\"RCV:1.0\"];\n80 -> 72  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n80 -> 80  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n80 -> 141  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n77 -> 124  [label=\"ACCEPT:1.0\"];\n77 -> 124  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n77 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n77 -> 102  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n77 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n77 -> 124  [label=\"CLOSE:1.0\"];\n77 -> 56  [label=\"CLOSECONNECTION:1.0\"];\n77 -> 17  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n77 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n77 -> 124  [label=\"LISTEN:1.0\"];\n77 -> 69  [label=\"RCV:1.0\"];\n77 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n77 -> 124  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n77 -> 77  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n133 -> 48  [label=\"ACCEPT:1.0\"];\n133 -> 48  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n133 -> 31  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n133 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n133 -> 103  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n133 -> 69  [label=\"CLOSE:1.0\"];\n133 -> 39  [label=\"CLOSECONNECTION:1.0\"];\n133 -> 40  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n133 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n133 -> 48  [label=\"LISTEN:1.0\"];\n133 -> 119  [label=\"RCV:1.0\"];\n133 -> 103  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n133 -> 48  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n133 -> 91  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n51 -> 82  [label=\"ACCEPT:1.0\"];\n51 -> 106  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n51 -> 106  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n51 -> 73  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n51 -> 18  [label=\"CLOSE:1.0\"];\n51 -> 27  [label=\"CLOSECONNECTION:1.0\"];\n51 -> 106  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n51 -> 27  [label=\"LISTEN:1.0\"];\n51 -> 27  [label=\"RCV:1.0\"];\n51 -> 73  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n51 -> 27  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n51 -> 126  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n110 -> 149  [label=\"ACCEPT:1.0\"];\n110 -> 65  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n110 -> 65  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n110 -> 87  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n110 -> 56  [label=\"CLOSE:1.0\"];\n110 -> 65  [label=\"CLOSECONNECTION:1.0\"];\n110 -> 65  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n110 -> 65  [label=\"LISTEN:1.0\"];\n110 -> 65  [label=\"RCV:1.0\"];\n110 -> 87  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n110 -> 65  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n110 -> 110  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n55 -> 55  [label=\"ACCEPT:1.0\"];\n55 -> 48  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n55 -> 31  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n55 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n55 -> 0  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n55 -> 147  [label=\"CLOSE:1.0\"];\n55 -> 137  [label=\"CLOSECONNECTION:1.0\"];\n55 -> 40  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n55 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n55 -> 55  [label=\"LISTEN:1.0\"];\n55 -> 55  [label=\"RCV:1.0\"];\n55 -> 0  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n55 -> 131  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n55 -> 58  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n146 -> 103  [label=\"ACCEPT:1.0\"];\n146 -> 146  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n146 -> 146  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n146 -> 72  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n146 -> 66  [label=\"CLOSE:1.0\"];\n146 -> 72  [label=\"CLOSECONNECTION:1.0\"];\n146 -> 146  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n146 -> 72  [label=\"LISTEN:1.0\"];\n146 -> 72  [label=\"RCV:1.0\"];\n146 -> 72  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n146 -> 152  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n146 -> 146  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n121 -> 0  [label=\"ACCEPT:1.0\"];\n121 -> 121  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n121 -> 121  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n121 -> 73  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n121 -> 66  [label=\"CLOSE:1.0\"];\n121 -> 73  [label=\"CLOSECONNECTION:1.0\"];\n121 -> 121  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n121 -> 73  [label=\"LISTEN:1.0\"];\n121 -> 73  [label=\"RCV:1.0\"];\n121 -> 73  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n121 -> 148  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n121 -> 121  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n118 -> 62  [label=\"ACCEPT:1.0\"];\n118 -> 62  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n118 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n118 -> 45  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n118 -> 14  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n118 -> 56  [label=\"CLOSE:1.0\"];\n118 -> 36  [label=\"CLOSECONNECTION:1.0\"];\n118 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n118 -> 26  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n118 -> 62  [label=\"LISTEN:1.0\"];\n118 -> 62  [label=\"RCV:1.0\"];\n118 -> 14  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n118 -> 62  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n118 -> 118  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n129 -> 129  [label=\"ACCEPT:1.0\"];\n129 -> 9  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n129 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n129 -> 45  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n129 -> 103  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n129 -> 147  [label=\"CLOSE:1.0\"];\n129 -> 137  [label=\"CLOSECONNECTION:1.0\"];\n129 -> 92  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n129 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n129 -> 129  [label=\"LISTEN:1.0\"];\n129 -> 129  [label=\"RCV:1.0\"];\n129 -> 103  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n129 -> 28  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n129 -> 88  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n2 -> 98  [label=\"ACCEPT:1.0\"];\n2 -> 98  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n2 -> 31  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n2 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n2 -> 103  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n2 -> 124  [label=\"CLOSE:1.0\"];\n2 -> 75  [label=\"CLOSECONNECTION:1.0\"];\n2 -> 125  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n2 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n2 -> 98  [label=\"LISTEN:1.0\"];\n2 -> 48  [label=\"RCV:1.0\"];\n2 -> 103  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n2 -> 98  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n2 -> 2  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n93 -> 62  [label=\"ACCEPT:1.0\"];\n93 -> 95  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n93 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n93 -> 74  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n93 -> 87  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n93 -> 56  [label=\"CLOSE:1.0\"];\n93 -> 95  [label=\"CLOSECONNECTION:1.0\"];\n93 -> 59  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n93 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n93 -> 95  [label=\"LISTEN:1.0\"];\n93 -> 95  [label=\"RCV:1.0\"];\n93 -> 87  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n93 -> 95  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n93 -> 93  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n4 -> 66  [label=\"ACCEPT:1.0\"];\n4 -> 44  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n4 -> 44  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n4 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n4 -> 66  [label=\"CLOSE:1.0\"];\n4 -> 66  [label=\"CLOSECONNECTION:1.0\"];\n4 -> 44  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n4 -> 66  [label=\"LISTEN:1.0\"];\n4 -> 66  [label=\"RCV:1.0\"];\n4 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n4 -> 4  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n4 -> 44  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n126 -> 82  [label=\"ACCEPT:1.0\"];\n126 -> 106  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n126 -> 106  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n126 -> 73  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n126 -> 18  [label=\"CLOSE:1.0\"];\n126 -> 27  [label=\"CLOSECONNECTION:1.0\"];\n126 -> 106  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n126 -> 27  [label=\"LISTEN:1.0\"];\n126 -> 27  [label=\"RCV:1.0\"];\n126 -> 73  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n126 -> 27  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n126 -> 126  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n137 -> 55  [label=\"ACCEPT:1.0\"];\n137 -> 120  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n137 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n137 -> 85  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n137 -> 73  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n137 -> 147  [label=\"CLOSE:1.0\"];\n137 -> 137  [label=\"CLOSECONNECTION:1.0\"];\n137 -> 134  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n137 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n137 -> 137  [label=\"LISTEN:1.0\"];\n137 -> 137  [label=\"RCV:1.0\"];\n137 -> 73  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n137 -> 139  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n137 -> 32  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n45 -> 62  [label=\"ACCEPT:1.0\"];\n45 -> 62  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n45 -> 45  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n45 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n45 -> 14  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n45 -> 56  [label=\"CLOSE:1.0\"];\n45 -> 36  [label=\"CLOSECONNECTION:1.0\"];\n45 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n45 -> 26  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n45 -> 62  [label=\"LISTEN:1.0\"];\n45 -> 62  [label=\"RCV:1.0\"];\n45 -> 14  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n45 -> 62  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n45 -> 118  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n68 -> 84  [label=\"ACCEPT:1.0\"];\n68 -> 84  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n68 -> 68  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n68 -> 0  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n68 -> 11  [label=\"CLOSE:1.0\"];\n68 -> 41  [label=\"CLOSECONNECTION:1.0\"];\n68 -> 68  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n68 -> 84  [label=\"LISTEN:1.0\"];\n68 -> 84  [label=\"RCV:1.0\"];\n68 -> 0  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n68 -> 68  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n68 -> 68  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n79 -> 129  [label=\"ACCEPT:1.0\"];\n79 -> 76  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n79 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n79 -> 74  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n79 -> 72  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n79 -> 147  [label=\"CLOSE:1.0\"];\n79 -> 79  [label=\"CLOSECONNECTION:1.0\"];\n79 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n79 -> 49  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n79 -> 79  [label=\"LISTEN:1.0\"];\n79 -> 79  [label=\"RCV:1.0\"];\n79 -> 72  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n79 -> 25  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n79 -> 15  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n63 -> 14  [label=\"ACCEPT:1.0\"];\n63 -> 63  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n63 -> 63  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n63 -> 14  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n63 -> 66  [label=\"CLOSE:1.0\"];\n63 -> 72  [label=\"CLOSECONNECTION:1.0\"];\n63 -> 63  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n63 -> 14  [label=\"LISTEN:1.0\"];\n63 -> 14  [label=\"RCV:1.0\"];\n63 -> 14  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n63 -> 29  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n63 -> 63  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n142 -> 10  [label=\"ACCEPT:1.0\"];\n142 -> 10  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n142 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n142 -> 101  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n142 -> 94  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n142 -> 56  [label=\"CLOSE:1.0\"];\n142 -> 95  [label=\"CLOSECONNECTION:1.0\"];\n142 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n142 -> 53  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n142 -> 10  [label=\"LISTEN:1.0\"];\n142 -> 10  [label=\"RCV:1.0\"];\n142 -> 94  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n142 -> 10  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n142 -> 142  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n87 -> 14  [label=\"ACCEPT:1.0\"];\n87 -> 57  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n87 -> 57  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n87 -> 87  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n87 -> 66  [label=\"CLOSE:1.0\"];\n87 -> 87  [label=\"CLOSECONNECTION:1.0\"];\n87 -> 57  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n87 -> 87  [label=\"LISTEN:1.0\"];\n87 -> 87  [label=\"RCV:1.0\"];\n87 -> 87  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n87 -> 12  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n87 -> 57  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n120 -> 48  [label=\"ACCEPT:1.0\"];\n120 -> 120  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n120 -> 85  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n120 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n120 -> 72  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n120 -> 56  [label=\"CLOSE:1.0\"];\n120 -> 120  [label=\"CLOSECONNECTION:1.0\"];\n120 -> 134  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n120 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n120 -> 120  [label=\"LISTEN:1.0\"];\n120 -> 120  [label=\"RCV:1.0\"];\n120 -> 72  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n120 -> 120  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n120 -> 117  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n117 -> 48  [label=\"ACCEPT:1.0\"];\n117 -> 120  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n117 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n117 -> 85  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n117 -> 72  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n117 -> 56  [label=\"CLOSE:1.0\"];\n117 -> 120  [label=\"CLOSECONNECTION:1.0\"];\n117 -> 134  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n117 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n117 -> 120  [label=\"LISTEN:1.0\"];\n117 -> 120  [label=\"RCV:1.0\"];\n117 -> 72  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n117 -> 120  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n117 -> 117  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n139 -> 0  [label=\"ACCEPT:1.0\"];\n139 -> 121  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n139 -> 121  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n139 -> 73  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n139 -> 66  [label=\"CLOSE:1.0\"];\n139 -> 73  [label=\"CLOSECONNECTION:1.0\"];\n139 -> 121  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n139 -> 73  [label=\"LISTEN:1.0\"];\n139 -> 73  [label=\"RCV:1.0\"];\n139 -> 73  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n139 -> 148  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n139 -> 121  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n127 -> 1  [label=\"ACCEPT:1.0\"];\n127 -> 61  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n127 -> 61  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n127 -> 72  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n127 -> 56  [label=\"CLOSE:1.0\"];\n127 -> 61  [label=\"CLOSECONNECTION:1.0\"];\n127 -> 61  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n127 -> 61  [label=\"LISTEN:1.0\"];\n127 -> 61  [label=\"RCV:1.0\"];\n127 -> 72  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n127 -> 61  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n127 -> 114  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n95 -> 62  [label=\"ACCEPT:1.0\"];\n95 -> 95  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n95 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n95 -> 74  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n95 -> 87  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n95 -> 56  [label=\"CLOSE:1.0\"];\n95 -> 95  [label=\"CLOSECONNECTION:1.0\"];\n95 -> 59  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n95 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n95 -> 95  [label=\"LISTEN:1.0\"];\n95 -> 95  [label=\"RCV:1.0\"];\n95 -> 87  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n95 -> 95  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n95 -> 93  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n62 -> 62  [label=\"ACCEPT:1.0\"];\n62 -> 62  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n62 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n62 -> 45  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n62 -> 14  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n62 -> 56  [label=\"CLOSE:1.0\"];\n62 -> 36  [label=\"CLOSECONNECTION:1.0\"];\n62 -> 26  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n62 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n62 -> 62  [label=\"LISTEN:1.0\"];\n62 -> 62  [label=\"RCV:1.0\"];\n62 -> 14  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n62 -> 62  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n62 -> 118  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n67 -> 89  [label=\"ACCEPT:1.0\"];\n67 -> 105  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n67 -> 32  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n67 -> 73  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n67 -> 35  [label=\"CLOSE:1.0\"];\n67 -> 122  [label=\"CLOSECONNECTION:1.0\"];\n67 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n67 -> 46  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n67 -> 122  [label=\"LISTEN:1.0\"];\n67 -> 122  [label=\"RCV:1.0\"];\n67 -> 73  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n67 -> 122  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n67 -> 67  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n53 -> 143  [label=\"ACCEPT:1.0\"];\n53 -> 143  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n53 -> 143  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n53 -> 94  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n53 -> 56  [label=\"CLOSE:1.0\"];\n53 -> 109  [label=\"CLOSECONNECTION:1.0\"];\n53 -> 143  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n53 -> 143  [label=\"LISTEN:1.0\"];\n53 -> 143  [label=\"RCV:1.0\"];\n53 -> 94  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n53 -> 143  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n53 -> 30  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n131 -> 0  [label=\"ACCEPT:1.0\"];\n131 -> 86  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n131 -> 86  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n131 -> 0  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n131 -> 66  [label=\"CLOSE:1.0\"];\n131 -> 73  [label=\"CLOSECONNECTION:1.0\"];\n131 -> 86  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n131 -> 0  [label=\"LISTEN:1.0\"];\n131 -> 0  [label=\"RCV:1.0\"];\n131 -> 0  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n131 -> 21  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n131 -> 86  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n145 -> 103  [label=\"ACCEPT:1.0\"];\n145 -> 145  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n145 -> 145  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n145 -> 103  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n145 -> 66  [label=\"CLOSE:1.0\"];\n145 -> 73  [label=\"CLOSECONNECTION:1.0\"];\n145 -> 145  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n145 -> 103  [label=\"LISTEN:1.0\"];\n145 -> 103  [label=\"RCV:1.0\"];\n145 -> 103  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n145 -> 22  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n145 -> 145  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n103 -> 103  [label=\"ACCEPT:1.0\"];\n103 -> 145  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n103 -> 145  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n103 -> 103  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n103 -> 66  [label=\"CLOSE:1.0\"];\n103 -> 73  [label=\"CLOSECONNECTION:1.0\"];\n103 -> 145  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n103 -> 103  [label=\"LISTEN:1.0\"];\n103 -> 103  [label=\"RCV:1.0\"];\n103 -> 103  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n103 -> 22  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n103 -> 145  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n136 -> 136  [label=\"ACCEPT:1.0\"];\n136 -> 136  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n136 -> 136  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n136 -> 103  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n136 -> 123  [label=\"CLOSE:1.0\"];\n136 -> 51  [label=\"CLOSECONNECTION:1.0\"];\n136 -> 136  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n136 -> 136  [label=\"LISTEN:1.0\"];\n136 -> 136  [label=\"RCV:1.0\"];\n136 -> 103  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n136 -> 136  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n136 -> 24  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n70 -> 97  [label=\"ACCEPT:1.0\"];\n70 -> 70  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n70 -> 70  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n70 -> 97  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n70 -> 66  [label=\"CLOSE:1.0\"];\n70 -> 97  [label=\"CLOSECONNECTION:1.0\"];\n70 -> 70  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n70 -> 73  [label=\"LISTEN:1.0\"];\n70 -> 97  [label=\"RCV:1.0\"];\n70 -> 97  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n70 -> 34  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n70 -> 70  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n83 -> 123  [label=\"ACCEPT:1.0\"];\n83 -> 123  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n83 -> 123  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n83 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n83 -> 123  [label=\"CLOSE:1.0\"];\n83 -> 154  [label=\"CLOSECONNECTION:1.0\"];\n83 -> 123  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n83 -> 123  [label=\"LISTEN:1.0\"];\n83 -> 123  [label=\"RCV:1.0\"];\n83 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n83 -> 123  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n83 -> 83  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n144 -> 150  [label=\"ACCEPT:1.0\"];\n144 -> 144  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n144 -> 144  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n144 -> 87  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n144 -> 147  [label=\"CLOSE:1.0\"];\n144 -> 144  [label=\"CLOSECONNECTION:1.0\"];\n144 -> 144  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n144 -> 144  [label=\"LISTEN:1.0\"];\n144 -> 144  [label=\"RCV:1.0\"];\n144 -> 87  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n144 -> 54  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n144 -> 104  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n141 -> 136  [label=\"ACCEPT:1.0\"];\n141 -> 80  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n141 -> 80  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n141 -> 72  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n141 -> 56  [label=\"CLOSE:1.0\"];\n141 -> 80  [label=\"CLOSECONNECTION:1.0\"];\n141 -> 80  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n141 -> 80  [label=\"LISTEN:1.0\"];\n141 -> 80  [label=\"RCV:1.0\"];\n141 -> 72  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n141 -> 80  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n141 -> 141  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n104 -> 14  [label=\"ACCEPT:1.0\"];\n104 -> 57  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n104 -> 57  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n104 -> 87  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n104 -> 66  [label=\"CLOSE:1.0\"];\n104 -> 87  [label=\"CLOSECONNECTION:1.0\"];\n104 -> 57  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n104 -> 87  [label=\"LISTEN:1.0\"];\n104 -> 87  [label=\"RCV:1.0\"];\n104 -> 87  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n104 -> 12  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n104 -> 57  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n102 -> 124  [label=\"ACCEPT:1.0\"];\n102 -> 124  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n102 -> 102  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n102 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n102 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n102 -> 124  [label=\"CLOSE:1.0\"];\n102 -> 56  [label=\"CLOSECONNECTION:1.0\"];\n102 -> 17  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n102 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n102 -> 124  [label=\"LISTEN:1.0\"];\n102 -> 69  [label=\"RCV:1.0\"];\n102 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n102 -> 124  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n102 -> 77  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n119 -> 119  [label=\"ACCEPT:1.0\"];\n119 -> 119  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n119 -> 133  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n119 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n119 -> 103  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n119 -> 69  [label=\"CLOSE:1.0\"];\n119 -> 39  [label=\"CLOSECONNECTION:1.0\"];\n119 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n119 -> 40  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n119 -> 119  [label=\"LISTEN:1.0\"];\n119 -> 119  [label=\"RCV:1.0\"];\n119 -> 103  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n119 -> 119  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n119 -> 5  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n20 -> 94  [label=\"ACCEPT:1.0\"];\n20 -> 20  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n20 -> 20  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n20 -> 94  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n20 -> 66  [label=\"CLOSE:1.0\"];\n20 -> 87  [label=\"CLOSECONNECTION:1.0\"];\n20 -> 20  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n20 -> 94  [label=\"LISTEN:1.0\"];\n20 -> 94  [label=\"RCV:1.0\"];\n20 -> 94  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n20 -> 78  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n20 -> 20  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n91 -> 48  [label=\"ACCEPT:1.0\"];\n91 -> 48  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n91 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n91 -> 31  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n91 -> 103  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n91 -> 69  [label=\"CLOSE:1.0\"];\n91 -> 39  [label=\"CLOSECONNECTION:1.0\"];\n91 -> 40  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n91 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n91 -> 48  [label=\"LISTEN:1.0\"];\n91 -> 119  [label=\"RCV:1.0\"];\n91 -> 103  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n91 -> 48  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n91 -> 91  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n148 -> 55  [label=\"ACCEPT:1.0\"];\n148 -> 120  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n148 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n148 -> 85  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n148 -> 73  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n148 -> 147  [label=\"CLOSE:1.0\"];\n148 -> 137  [label=\"CLOSECONNECTION:1.0\"];\n148 -> 134  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n148 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n148 -> 137  [label=\"LISTEN:1.0\"];\n148 -> 137  [label=\"RCV:1.0\"];\n148 -> 73  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n148 -> 139  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n148 -> 32  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n86 -> 0  [label=\"ACCEPT:1.0\"];\n86 -> 86  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n86 -> 86  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n86 -> 0  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n86 -> 66  [label=\"CLOSE:1.0\"];\n86 -> 73  [label=\"CLOSECONNECTION:1.0\"];\n86 -> 86  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n86 -> 0  [label=\"LISTEN:1.0\"];\n86 -> 0  [label=\"RCV:1.0\"];\n86 -> 0  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n86 -> 21  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n86 -> 86  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n94 -> 94  [label=\"ACCEPT:1.0\"];\n94 -> 20  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n94 -> 20  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n94 -> 94  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n94 -> 66  [label=\"CLOSE:1.0\"];\n94 -> 87  [label=\"CLOSECONNECTION:1.0\"];\n94 -> 20  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n94 -> 94  [label=\"LISTEN:1.0\"];\n94 -> 94  [label=\"RCV:1.0\"];\n94 -> 94  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n94 -> 78  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n94 -> 20  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n99 -> 18  [label=\"ACCEPT:1.0\"];\n99 -> 147  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n99 -> 147  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n99 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n99 -> 18  [label=\"CLOSE:1.0\"];\n99 -> 18  [label=\"CLOSECONNECTION:1.0\"];\n99 -> 147  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n99 -> 18  [label=\"LISTEN:1.0\"];\n99 -> 18  [label=\"RCV:1.0\"];\n99 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n99 -> 18  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n99 -> 99  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n85 -> 98  [label=\"ACCEPT:1.0\"];\n85 -> 36  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n85 -> 85  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.9\"];\n85 -> 116  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:0.1\"];\n85 -> 72  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n85 -> 56  [label=\"CLOSE:1.0\"];\n85 -> 36  [label=\"CLOSECONNECTION:1.0\"];\n85 -> 116  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.1\"];\n85 -> 127  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:0.9\"];\n85 -> 36  [label=\"LISTEN:1.0\"];\n85 -> 36  [label=\"RCV:1.0\"];\n85 -> 72  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n85 -> 36  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n85 -> 16  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n52 -> 33  [label=\"ACCEPT:1.0\"];\n52 -> 33  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n52 -> 33  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n52 -> 94  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n52 -> 56  [label=\"CLOSE:1.0\"];\n52 -> 65  [label=\"CLOSECONNECTION:1.0\"];\n52 -> 33  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n52 -> 33  [label=\"LISTEN:1.0\"];\n52 -> 33  [label=\"RCV:1.0\"];\n52 -> 94  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n52 -> 33  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n52 -> 128  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n61 -> 1  [label=\"ACCEPT:1.0\"];\n61 -> 61  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n61 -> 61  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n61 -> 72  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n61 -> 56  [label=\"CLOSE:1.0\"];\n61 -> 61  [label=\"CLOSECONNECTION:1.0\"];\n61 -> 61  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n61 -> 61  [label=\"LISTEN:1.0\"];\n61 -> 61  [label=\"RCV:1.0\"];\n61 -> 72  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n61 -> 61  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n61 -> 114  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n151 -> 84  [label=\"ACCEPT:1.0\"];\n151 -> 84  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n151 -> 68  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n151 -> 0  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n151 -> 11  [label=\"CLOSE:1.0\"];\n151 -> 41  [label=\"CLOSECONNECTION:1.0\"];\n151 -> 68  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n151 -> 84  [label=\"LISTEN:1.0\"];\n151 -> 84  [label=\"RCV:1.0\"];\n151 -> 0  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n151 -> 68  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n151 -> 68  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n56 -> 66  [label=\"ACCEPT:1.0\"];\n56 -> 44  [label=\"ACK_p_V_c_V_c_0_p:1.0\"];\n56 -> 44  [label=\"ACK_plus_PSH_p_V_c_V_c_1_p:1.0\"];\n56 -> 66  [label=\"ACK_plus_RST_p_V_c_V_c_0_p:1.0\"];\n56 -> 66  [label=\"CLOSE:1.0\"];\n56 -> 66  [label=\"CLOSECONNECTION:1.0\"];\n56 -> 44  [label=\"FIN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n56 -> 66  [label=\"LISTEN:1.0\"];\n56 -> 66  [label=\"RCV:1.0\"];\n56 -> 66  [label=\"RST_p_V_c_V_c_0_p:1.0\"];\n56 -> 4  [label=\"SYN_p_V_c_V_c_0_p:1.0\"];\n56 -> 44  [label=\"SYN_plus_ACK_p_V_c_V_c_0_p:1.0\"];\n__start0 [label=\"\", shape=none];\n__start0 -> 19  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/MQTT/ActiveMQ__two_client_will_retain.dot",
    "content": "digraph g {\n__start0 [label=\"\" shape=\"none\"];\n\n\ts0 [shape=\"circle\" label=\"s0\"];\n\ts1 [shape=\"circle\" label=\"s1\"];\n\ts2 [shape=\"circle\" label=\"s2\"];\n\ts3 [shape=\"circle\" label=\"s3\"];\n\ts4 [shape=\"circle\" label=\"s4\"];\n\ts5 [shape=\"circle\" label=\"s5\"];\n\ts6 [shape=\"circle\" label=\"s6\"];\n\ts7 [shape=\"circle\" label=\"s7\"];\n\ts8 [shape=\"circle\" label=\"s8\"];\n\ts9 [shape=\"circle\" label=\"s9\"];\n\ts10 [shape=\"circle\" label=\"s10\"];\n\ts11 [shape=\"circle\" label=\"s11\"];\n\ts12 [shape=\"circle\" label=\"s12\"];\n\ts13 [shape=\"circle\" label=\"s13\"];\n\ts14 [shape=\"circle\" label=\"s14\"];\n\ts15 [shape=\"circle\" label=\"s15\"];\n\ts16 [shape=\"circle\" label=\"s16\"];\n\ts17 [shape=\"circle\" label=\"s17\"];\n\ts0 -> s1 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnAck\"];\n\ts0 -> s3 [label=\"ConnectC1WithWill / c1_ConnAck__c2_ConnectionClosed\"];\n\ts0 -> s8 [label=\"ConnectC1WithWillRetain / c1_ConnAck__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts1 -> s0 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts1 -> s2 [label=\"ConnectC1WithWill / c1_ConnAck__Empty\"];\n\ts1 -> s6 [label=\"ConnectC1WithWillRetain / c1_ConnAck__Empty\"];\n\ts1 -> s1 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__Empty\"];\n\ts1 -> s1 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_PubAck\"];\n\ts1 -> s4 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_SubAck\"];\n\ts1 -> s1 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_UnSubAck\"];\n\ts1 -> s1 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts1 -> s1 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts2 -> s3 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts2 -> s1 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Empty\"];\n\ts2 -> s1 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Empty\"];\n\ts2 -> s2 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts2 -> s2 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts2 -> s5 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts2 -> s2 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts2 -> s1 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts2 -> s1 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts3 -> s2 [label=\"ConnectC2 / Empty__c2_ConnAck\"];\n\ts3 -> s0 [label=\"ConnectC1WithWill / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts3 -> s0 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts3 -> s3 [label=\"DeleteRetainedC1 / c1_PubAck__c2_ConnectionClosed\"];\n\ts3 -> s3 [label=\"DeleteRetainedC2 / Empty__c2_ConnectionClosed\"];\n\ts3 -> s3 [label=\"SubscribeC2 / Empty__c2_ConnectionClosed\"];\n\ts3 -> s3 [label=\"UnSubScribeC2 / Empty__c2_ConnectionClosed\"];\n\ts3 -> s0 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts3 -> s0 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts4 -> s0 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts4 -> s5 [label=\"ConnectC1WithWill / c1_ConnAck__Empty\"];\n\ts4 -> s9 [label=\"ConnectC1WithWillRetain / c1_ConnAck__Empty\"];\n\ts4 -> s4 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__Empty\"];\n\ts4 -> s4 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts4 -> s4 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_SubAck\"];\n\ts4 -> s1 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_UnSubAck\"];\n\ts4 -> s4 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts4 -> s4 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts5 -> s3 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts5 -> s4 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts5 -> s4 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts5 -> s5 [label=\"DeleteRetainedC1 / c1_PubAck__Pub(c2,my_topic,)\"];\n\ts5 -> s5 [label=\"DeleteRetainedC2 / Empty__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts5 -> s5 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts5 -> s2 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts5 -> s4 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts5 -> s4 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts6 -> s8 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts6 -> s7 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Empty\"];\n\ts6 -> s7 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Empty\"];\n\ts6 -> s6 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts6 -> s6 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts6 -> s9 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts6 -> s6 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts6 -> s7 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts6 -> s1 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts7 -> s12 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts7 -> s11 [label=\"ConnectC1WithWill / c1_ConnAck__Empty\"];\n\ts7 -> s17 [label=\"ConnectC1WithWillRetain / c1_ConnAck__Empty\"];\n\ts7 -> s7 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__Empty\"];\n\ts7 -> s1 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_PubAck\"];\n\ts7 -> s10 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts7 -> s7 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_UnSubAck\"];\n\ts7 -> s7 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts7 -> s7 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts8 -> s6 [label=\"ConnectC2 / Empty__c2_ConnAck\"];\n\ts8 -> s12 [label=\"ConnectC1WithWill / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts8 -> s12 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts8 -> s8 [label=\"DeleteRetainedC1 / c1_PubAck__c2_ConnectionClosed\"];\n\ts8 -> s8 [label=\"DeleteRetainedC2 / Empty__c2_ConnectionClosed\"];\n\ts8 -> s8 [label=\"SubscribeC2 / Empty__c2_ConnectionClosed\"];\n\ts8 -> s8 [label=\"UnSubScribeC2 / Empty__c2_ConnectionClosed\"];\n\ts8 -> s12 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts8 -> s0 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts9 -> s8 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts9 -> s10 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts9 -> s10 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts9 -> s9 [label=\"DeleteRetainedC1 / c1_PubAck__Pub(c2,my_topic,)\"];\n\ts9 -> s9 [label=\"DeleteRetainedC2 / Empty__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts9 -> s9 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts9 -> s6 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts9 -> s10 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts9 -> s4 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts10 -> s12 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts10 -> s13 [label=\"ConnectC1WithWill / c1_ConnAck__Empty\"];\n\ts10 -> s15 [label=\"ConnectC1WithWillRetain / c1_ConnAck__Empty\"];\n\ts10 -> s10 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__Empty\"];\n\ts10 -> s4 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts10 -> s10 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_SubAck\"];\n\ts10 -> s7 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_UnSubAck\"];\n\ts10 -> s10 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts10 -> s10 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts11 -> s14 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts11 -> s7 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Empty\"];\n\ts11 -> s7 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Empty\"];\n\ts11 -> s2 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts11 -> s2 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts11 -> s13 [label=\"SubscribeC2 / Empty__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts11 -> s11 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts11 -> s7 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts11 -> s7 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts12 -> s7 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnAck\"];\n\ts12 -> s14 [label=\"ConnectC1WithWill / c1_ConnAck__c2_ConnectionClosed\"];\n\ts12 -> s16 [label=\"ConnectC1WithWillRetain / c1_ConnAck__c2_ConnectionClosed\"];\n\ts12 -> s12 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts12 -> s12 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts12 -> s12 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts12 -> s12 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts12 -> s12 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts12 -> s12 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts13 -> s14 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts13 -> s10 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts13 -> s10 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts13 -> s5 [label=\"DeleteRetainedC1 / c1_PubAck__Pub(c2,my_topic,)\"];\n\ts13 -> s5 [label=\"DeleteRetainedC2 / Empty__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts13 -> s13 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts13 -> s11 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts13 -> s10 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts13 -> s10 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts14 -> s11 [label=\"ConnectC2 / Empty__c2_ConnAck\"];\n\ts14 -> s12 [label=\"ConnectC1WithWill / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts14 -> s12 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts14 -> s3 [label=\"DeleteRetainedC1 / c1_PubAck__c2_ConnectionClosed\"];\n\ts14 -> s14 [label=\"DeleteRetainedC2 / Empty__c2_ConnectionClosed\"];\n\ts14 -> s14 [label=\"SubscribeC2 / Empty__c2_ConnectionClosed\"];\n\ts14 -> s14 [label=\"UnSubScribeC2 / Empty__c2_ConnectionClosed\"];\n\ts14 -> s12 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts14 -> s12 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts15 -> s16 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts15 -> s10 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts15 -> s10 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts15 -> s9 [label=\"DeleteRetainedC1 / c1_PubAck__Pub(c2,my_topic,)\"];\n\ts15 -> s9 [label=\"DeleteRetainedC2 / Empty__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts15 -> s15 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts15 -> s17 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts15 -> s10 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts15 -> s10 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts16 -> s17 [label=\"ConnectC2 / Empty__c2_ConnAck\"];\n\ts16 -> s12 [label=\"ConnectC1WithWill / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts16 -> s12 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts16 -> s8 [label=\"DeleteRetainedC1 / c1_PubAck__c2_ConnectionClosed\"];\n\ts16 -> s16 [label=\"DeleteRetainedC2 / Empty__c2_ConnectionClosed\"];\n\ts16 -> s16 [label=\"SubscribeC2 / Empty__c2_ConnectionClosed\"];\n\ts16 -> s16 [label=\"UnSubScribeC2 / Empty__c2_ConnectionClosed\"];\n\ts16 -> s12 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts16 -> s12 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts17 -> s16 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts17 -> s7 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Empty\"];\n\ts17 -> s7 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Empty\"];\n\ts17 -> s6 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts17 -> s6 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts17 -> s15 [label=\"SubscribeC2 / Empty__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts17 -> s17 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts17 -> s7 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts17 -> s7 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\n__start0 -> s0;\n}\n"
  },
  {
    "path": "DotModels/MQTT/VerneMQ__two_client_will_retain.dot",
    "content": "digraph g {\n__start0 [label=\"\" shape=\"none\"];\n\n\ts0 [shape=\"circle\" label=\"s0\"];\n\ts1 [shape=\"circle\" label=\"s1\"];\n\ts2 [shape=\"circle\" label=\"s2\"];\n\ts3 [shape=\"circle\" label=\"s3\"];\n\ts4 [shape=\"circle\" label=\"s4\"];\n\ts5 [shape=\"circle\" label=\"s5\"];\n\ts6 [shape=\"circle\" label=\"s6\"];\n\ts7 [shape=\"circle\" label=\"s7\"];\n\ts8 [shape=\"circle\" label=\"s8\"];\n\ts9 [shape=\"circle\" label=\"s9\"];\n\ts10 [shape=\"circle\" label=\"s10\"];\n\ts11 [shape=\"circle\" label=\"s11\"];\n\ts12 [shape=\"circle\" label=\"s12\"];\n\ts13 [shape=\"circle\" label=\"s13\"];\n\ts14 [shape=\"circle\" label=\"s14\"];\n\ts15 [shape=\"circle\" label=\"s15\"];\n\ts16 [shape=\"circle\" label=\"s16\"];\n\ts0 -> s2 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnAck\"];\n\ts0 -> s1 [label=\"ConnectC1WithWill / c1_ConnAck__c2_ConnectionClosed\"];\n\ts0 -> s12 [label=\"ConnectC1WithWillRetain / c1_ConnAck__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts1 -> s3 [label=\"ConnectC2 / Empty__c2_ConnAck\"];\n\ts1 -> s0 [label=\"ConnectC1WithWill / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts1 -> s0 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts1 -> s1 [label=\"DeleteRetainedC1 / c1_PubAck__c2_ConnectionClosed\"];\n\ts1 -> s1 [label=\"DeleteRetainedC2 / Empty__c2_ConnectionClosed\"];\n\ts1 -> s1 [label=\"SubscribeC2 / Empty__c2_ConnectionClosed\"];\n\ts1 -> s1 [label=\"UnSubScribeC2 / Empty__c2_ConnectionClosed\"];\n\ts1 -> s0 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts1 -> s0 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts2 -> s0 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts2 -> s3 [label=\"ConnectC1WithWill / c1_ConnAck__Empty\"];\n\ts2 -> s4 [label=\"ConnectC1WithWillRetain / c1_ConnAck__Empty\"];\n\ts2 -> s2 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__Empty\"];\n\ts2 -> s2 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_PubAck\"];\n\ts2 -> s9 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_SubAck\"];\n\ts2 -> s2 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_UnSubAck\"];\n\ts2 -> s2 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts2 -> s2 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts3 -> s1 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts3 -> s2 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Empty\"];\n\ts3 -> s2 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Empty\"];\n\ts3 -> s3 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts3 -> s3 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts3 -> s7 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts3 -> s3 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts3 -> s2 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts3 -> s2 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts4 -> s12 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts4 -> s5 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Empty\"];\n\ts4 -> s5 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Empty\"];\n\ts4 -> s4 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts4 -> s4 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts4 -> s6 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts4 -> s4 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts4 -> s5 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts4 -> s2 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts5 -> s13 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts5 -> s8 [label=\"ConnectC1WithWill / c1_ConnAck__Empty\"];\n\ts5 -> s11 [label=\"ConnectC1WithWillRetain / c1_ConnAck__Empty\"];\n\ts5 -> s5 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__Empty\"];\n\ts5 -> s2 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_PubAck\"];\n\ts5 -> s10 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts5 -> s5 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_UnSubAck\"];\n\ts5 -> s5 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts5 -> s5 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts6 -> s12 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts6 -> s10 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts6 -> s10 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts6 -> s6 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts6 -> s6 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts6 -> s6 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts6 -> s4 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts6 -> s10 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts6 -> s9 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts7 -> s1 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts7 -> s9 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts7 -> s9 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts7 -> s7 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts7 -> s7 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts7 -> s7 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts7 -> s3 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts7 -> s9 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts7 -> s9 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts8 -> s15 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts8 -> s5 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Empty\"];\n\ts8 -> s5 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Empty\"];\n\ts8 -> s3 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts8 -> s3 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts8 -> s14 [label=\"SubscribeC2 / Empty__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts8 -> s8 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts8 -> s5 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts8 -> s5 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts9 -> s0 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts9 -> s7 [label=\"ConnectC1WithWill / c1_ConnAck__Empty\"];\n\ts9 -> s6 [label=\"ConnectC1WithWillRetain / c1_ConnAck__Empty\"];\n\ts9 -> s9 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__Empty\"];\n\ts9 -> s9 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_PubAck\"];\n\ts9 -> s9 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_SubAck\"];\n\ts9 -> s2 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_UnSubAck\"];\n\ts9 -> s9 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts9 -> s9 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts10 -> s13 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts10 -> s14 [label=\"ConnectC1WithWill / c1_ConnAck__Empty\"];\n\ts10 -> s14 [label=\"ConnectC1WithWillRetain / c1_ConnAck__Empty\"];\n\ts10 -> s10 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__Empty\"];\n\ts10 -> s9 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_PubAck\"];\n\ts10 -> s10 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts10 -> s5 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_UnSubAck\"];\n\ts10 -> s10 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts10 -> s10 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts11 -> s16 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts11 -> s5 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Empty\"];\n\ts11 -> s5 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Empty\"];\n\ts11 -> s4 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts11 -> s4 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts11 -> s14 [label=\"SubscribeC2 / Empty__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts11 -> s11 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts11 -> s5 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts11 -> s5 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts12 -> s4 [label=\"ConnectC2 / Empty__c2_ConnAck\"];\n\ts12 -> s13 [label=\"ConnectC1WithWill / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts12 -> s13 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts12 -> s12 [label=\"DeleteRetainedC1 / c1_PubAck__c2_ConnectionClosed\"];\n\ts12 -> s12 [label=\"DeleteRetainedC2 / Empty__c2_ConnectionClosed\"];\n\ts12 -> s12 [label=\"SubscribeC2 / Empty__c2_ConnectionClosed\"];\n\ts12 -> s12 [label=\"UnSubScribeC2 / Empty__c2_ConnectionClosed\"];\n\ts12 -> s13 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts12 -> s0 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts13 -> s5 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnAck\"];\n\ts13 -> s15 [label=\"ConnectC1WithWill / c1_ConnAck__c2_ConnectionClosed\"];\n\ts13 -> s16 [label=\"ConnectC1WithWillRetain / c1_ConnAck__c2_ConnectionClosed\"];\n\ts13 -> s13 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts13 -> s13 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts13 -> s13 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts13 -> s13 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts13 -> s13 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts13 -> s13 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts14 -> s15 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts14 -> s10 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts14 -> s10 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts14 -> s7 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts14 -> s7 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts14 -> s14 [label=\"SubscribeC2 / Empty__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts14 -> s8 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts14 -> s10 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts14 -> s10 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts15 -> s8 [label=\"ConnectC2 / Empty__c2_ConnAck\"];\n\ts15 -> s13 [label=\"ConnectC1WithWill / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts15 -> s13 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts15 -> s1 [label=\"DeleteRetainedC1 / c1_PubAck__c2_ConnectionClosed\"];\n\ts15 -> s15 [label=\"DeleteRetainedC2 / Empty__c2_ConnectionClosed\"];\n\ts15 -> s15 [label=\"SubscribeC2 / Empty__c2_ConnectionClosed\"];\n\ts15 -> s15 [label=\"UnSubScribeC2 / Empty__c2_ConnectionClosed\"];\n\ts15 -> s13 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts15 -> s13 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts16 -> s11 [label=\"ConnectC2 / Empty__c2_ConnAck\"];\n\ts16 -> s13 [label=\"ConnectC1WithWill / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts16 -> s13 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts16 -> s12 [label=\"DeleteRetainedC1 / c1_PubAck__c2_ConnectionClosed\"];\n\ts16 -> s16 [label=\"DeleteRetainedC2 / Empty__c2_ConnectionClosed\"];\n\ts16 -> s16 [label=\"SubscribeC2 / Empty__c2_ConnectionClosed\"];\n\ts16 -> s16 [label=\"UnSubScribeC2 / Empty__c2_ConnectionClosed\"];\n\ts16 -> s13 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts16 -> s13 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\n__start0 -> s0;\n}\n"
  },
  {
    "path": "DotModels/MQTT/emqtt__two_client_will_retain.dot",
    "content": "digraph g {\n__start0 [label=\"\" shape=\"none\"];\n\n\ts0 [shape=\"circle\" label=\"s0\"];\n\ts1 [shape=\"circle\" label=\"s1\"];\n\ts2 [shape=\"circle\" label=\"s2\"];\n\ts3 [shape=\"circle\" label=\"s3\"];\n\ts4 [shape=\"circle\" label=\"s4\"];\n\ts5 [shape=\"circle\" label=\"s5\"];\n\ts6 [shape=\"circle\" label=\"s6\"];\n\ts7 [shape=\"circle\" label=\"s7\"];\n\ts8 [shape=\"circle\" label=\"s8\"];\n\ts9 [shape=\"circle\" label=\"s9\"];\n\ts10 [shape=\"circle\" label=\"s10\"];\n\ts11 [shape=\"circle\" label=\"s11\"];\n\ts12 [shape=\"circle\" label=\"s12\"];\n\ts13 [shape=\"circle\" label=\"s13\"];\n\ts14 [shape=\"circle\" label=\"s14\"];\n\ts15 [shape=\"circle\" label=\"s15\"];\n\ts16 [shape=\"circle\" label=\"s16\"];\n\ts17 [shape=\"circle\" label=\"s17\"];\n\ts0 -> s2 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnAck\"];\n\ts0 -> s10 [label=\"ConnectC1WithWill / c1_ConnAck__c2_ConnectionClosed\"];\n\ts0 -> s1 [label=\"ConnectC1WithWillRetain / c1_ConnAck__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts1 -> s3 [label=\"ConnectC2 / Empty__c2_ConnAck\"];\n\ts1 -> s8 [label=\"ConnectC1WithWill / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts1 -> s8 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts1 -> s1 [label=\"DeleteRetainedC1 / c1_PubAck__c2_ConnectionClosed\"];\n\ts1 -> s1 [label=\"DeleteRetainedC2 / Empty__c2_ConnectionClosed\"];\n\ts1 -> s1 [label=\"SubscribeC2 / Empty__c2_ConnectionClosed\"];\n\ts1 -> s1 [label=\"UnSubScribeC2 / Empty__c2_ConnectionClosed\"];\n\ts1 -> s8 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts1 -> s0 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts2 -> s0 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts2 -> s7 [label=\"ConnectC1WithWill / c1_ConnAck__Empty\"];\n\ts2 -> s3 [label=\"ConnectC1WithWillRetain / c1_ConnAck__Empty\"];\n\ts2 -> s2 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__Empty\"];\n\ts2 -> s2 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_PubAck\"];\n\ts2 -> s5 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_SubAck\"];\n\ts2 -> s2 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_UnSubAck\"];\n\ts2 -> s2 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts2 -> s2 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts3 -> s1 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts3 -> s4 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Empty\"];\n\ts3 -> s4 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Empty\"];\n\ts3 -> s3 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts3 -> s3 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts3 -> s6 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts3 -> s3 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts3 -> s4 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts3 -> s2 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts4 -> s8 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts4 -> s14 [label=\"ConnectC1WithWill / c1_ConnAck__Empty\"];\n\ts4 -> s9 [label=\"ConnectC1WithWillRetain / c1_ConnAck__Empty\"];\n\ts4 -> s4 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__Empty\"];\n\ts4 -> s2 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_PubAck\"];\n\ts4 -> s11 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts4 -> s4 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_UnSubAck\"];\n\ts4 -> s4 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts4 -> s4 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts5 -> s0 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts5 -> s16 [label=\"ConnectC1WithWill / c1_ConnAck__Empty\"];\n\ts5 -> s6 [label=\"ConnectC1WithWillRetain / c1_ConnAck__Empty\"];\n\ts5 -> s5 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__Empty\"];\n\ts5 -> s5 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts5 -> s5 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_SubAck\"];\n\ts5 -> s2 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_UnSubAck\"];\n\ts5 -> s5 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts5 -> s5 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts6 -> s1 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts6 -> s11 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts6 -> s11 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts6 -> s6 [label=\"DeleteRetainedC1 / c1_PubAck__Pub(c2,my_topic,)\"];\n\ts6 -> s6 [label=\"DeleteRetainedC2 / Empty__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts6 -> s6 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts6 -> s3 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts6 -> s11 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts6 -> s5 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts7 -> s10 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts7 -> s2 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Empty\"];\n\ts7 -> s2 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Empty\"];\n\ts7 -> s7 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts7 -> s7 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts7 -> s16 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts7 -> s7 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts7 -> s2 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts7 -> s2 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts8 -> s4 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnAck\"];\n\ts8 -> s13 [label=\"ConnectC1WithWill / c1_ConnAck__c2_ConnectionClosed\"];\n\ts8 -> s15 [label=\"ConnectC1WithWillRetain / c1_ConnAck__c2_ConnectionClosed\"];\n\ts8 -> s8 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts8 -> s8 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts8 -> s8 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts8 -> s8 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts8 -> s8 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts8 -> s8 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts9 -> s15 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts9 -> s4 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Empty\"];\n\ts9 -> s4 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Empty\"];\n\ts9 -> s3 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts9 -> s3 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts9 -> s17 [label=\"SubscribeC2 / Empty__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts9 -> s9 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts9 -> s4 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts9 -> s4 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts10 -> s7 [label=\"ConnectC2 / Empty__c2_ConnAck\"];\n\ts10 -> s0 [label=\"ConnectC1WithWill / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts10 -> s0 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts10 -> s10 [label=\"DeleteRetainedC1 / c1_PubAck__c2_ConnectionClosed\"];\n\ts10 -> s10 [label=\"DeleteRetainedC2 / Empty__c2_ConnectionClosed\"];\n\ts10 -> s10 [label=\"SubscribeC2 / Empty__c2_ConnectionClosed\"];\n\ts10 -> s10 [label=\"UnSubScribeC2 / Empty__c2_ConnectionClosed\"];\n\ts10 -> s0 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts10 -> s0 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts11 -> s8 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts11 -> s12 [label=\"ConnectC1WithWill / c1_ConnAck__Empty\"];\n\ts11 -> s17 [label=\"ConnectC1WithWillRetain / c1_ConnAck__Empty\"];\n\ts11 -> s11 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__Empty\"];\n\ts11 -> s5 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts11 -> s11 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_SubAck\"];\n\ts11 -> s4 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_UnSubAck\"];\n\ts11 -> s11 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts11 -> s11 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts12 -> s13 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts12 -> s11 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts12 -> s11 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts12 -> s16 [label=\"DeleteRetainedC1 / c1_PubAck__Pub(c2,my_topic,)\"];\n\ts12 -> s16 [label=\"DeleteRetainedC2 / Empty__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts12 -> s12 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts12 -> s14 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts12 -> s11 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts12 -> s11 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts13 -> s14 [label=\"ConnectC2 / Empty__c2_ConnAck\"];\n\ts13 -> s8 [label=\"ConnectC1WithWill / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts13 -> s8 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts13 -> s10 [label=\"DeleteRetainedC1 / c1_PubAck__c2_ConnectionClosed\"];\n\ts13 -> s13 [label=\"DeleteRetainedC2 / Empty__c2_ConnectionClosed\"];\n\ts13 -> s13 [label=\"SubscribeC2 / Empty__c2_ConnectionClosed\"];\n\ts13 -> s13 [label=\"UnSubScribeC2 / Empty__c2_ConnectionClosed\"];\n\ts13 -> s8 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts13 -> s8 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts14 -> s13 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts14 -> s4 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Empty\"];\n\ts14 -> s4 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Empty\"];\n\ts14 -> s7 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts14 -> s7 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts14 -> s12 [label=\"SubscribeC2 / Empty__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts14 -> s14 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts14 -> s4 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts14 -> s4 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts15 -> s9 [label=\"ConnectC2 / Empty__c2_ConnAck\"];\n\ts15 -> s8 [label=\"ConnectC1WithWill / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts15 -> s8 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts15 -> s1 [label=\"DeleteRetainedC1 / c1_PubAck__c2_ConnectionClosed\"];\n\ts15 -> s15 [label=\"DeleteRetainedC2 / Empty__c2_ConnectionClosed\"];\n\ts15 -> s15 [label=\"SubscribeC2 / Empty__c2_ConnectionClosed\"];\n\ts15 -> s15 [label=\"UnSubScribeC2 / Empty__c2_ConnectionClosed\"];\n\ts15 -> s8 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts15 -> s8 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts16 -> s10 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts16 -> s5 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts16 -> s5 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts16 -> s16 [label=\"DeleteRetainedC1 / c1_PubAck__Pub(c2,my_topic,)\"];\n\ts16 -> s16 [label=\"DeleteRetainedC2 / Empty__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts16 -> s16 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts16 -> s7 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts16 -> s5 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts16 -> s5 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts17 -> s15 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts17 -> s11 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts17 -> s11 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts17 -> s6 [label=\"DeleteRetainedC1 / c1_PubAck__Pub(c2,my_topic,)\"];\n\ts17 -> s6 [label=\"DeleteRetainedC2 / Empty__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts17 -> s17 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts17 -> s9 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts17 -> s11 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts17 -> s11 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\n__start0 -> s0;\n}\n"
  },
  {
    "path": "DotModels/MQTT/hbmqtt__two_client_will_retain.dot",
    "content": "digraph g {\n__start0 [label=\"\" shape=\"none\"];\n\n\ts0 [shape=\"circle\" label=\"s0\"];\n\ts1 [shape=\"circle\" label=\"s1\"];\n\ts2 [shape=\"circle\" label=\"s2\"];\n\ts3 [shape=\"circle\" label=\"s3\"];\n\ts4 [shape=\"circle\" label=\"s4\"];\n\ts5 [shape=\"circle\" label=\"s5\"];\n\ts6 [shape=\"circle\" label=\"s6\"];\n\ts7 [shape=\"circle\" label=\"s7\"];\n\ts8 [shape=\"circle\" label=\"s8\"];\n\ts9 [shape=\"circle\" label=\"s9\"];\n\ts10 [shape=\"circle\" label=\"s10\"];\n\ts11 [shape=\"circle\" label=\"s11\"];\n\ts12 [shape=\"circle\" label=\"s12\"];\n\ts13 [shape=\"circle\" label=\"s13\"];\n\ts14 [shape=\"circle\" label=\"s14\"];\n\ts15 [shape=\"circle\" label=\"s15\"];\n\ts16 [shape=\"circle\" label=\"s16\"];\n\ts0 -> s3 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnAck\"];\n\ts0 -> s1 [label=\"ConnectC1WithWill / c1_ConnAck__c2_ConnectionClosed\"];\n\ts0 -> s10 [label=\"ConnectC1WithWillRetain / c1_ConnAck__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts1 -> s2 [label=\"ConnectC2 / Empty__c2_ConnAck\"];\n\ts1 -> s1 [label=\"ConnectC1WithWill / Empty__c2_ConnectionClosed\"];\n\ts1 -> s1 [label=\"ConnectC1WithWillRetain / Empty__c2_ConnectionClosed\"];\n\ts1 -> s1 [label=\"DeleteRetainedC1 / c1_PubAck__c2_ConnectionClosed\"];\n\ts1 -> s1 [label=\"DeleteRetainedC2 / Empty__c2_ConnectionClosed\"];\n\ts1 -> s1 [label=\"SubscribeC2 / Empty__c2_ConnectionClosed\"];\n\ts1 -> s1 [label=\"UnSubScribeC2 / Empty__c2_ConnectionClosed\"];\n\ts1 -> s0 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts1 -> s0 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts2 -> s2 [label=\"ConnectC2 / Empty__Empty\"];\n\ts2 -> s2 [label=\"ConnectC1WithWill / Empty__Empty\"];\n\ts2 -> s2 [label=\"ConnectC1WithWillRetain / Empty__Empty\"];\n\ts2 -> s2 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts2 -> s2 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts2 -> s7 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts2 -> s2 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts2 -> s3 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts2 -> s3 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts3 -> s3 [label=\"ConnectC2 / c1_ConnectionClosed__Empty\"];\n\ts3 -> s2 [label=\"ConnectC1WithWill / c1_ConnAck__Empty\"];\n\ts3 -> s4 [label=\"ConnectC1WithWillRetain / c1_ConnAck__Empty\"];\n\ts3 -> s3 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__Empty\"];\n\ts3 -> s3 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_PubAck\"];\n\ts3 -> s8 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_SubAck\"];\n\ts3 -> s3 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_UnSubAck\"];\n\ts3 -> s3 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts3 -> s3 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts4 -> s4 [label=\"ConnectC2 / Empty__Empty\"];\n\ts4 -> s4 [label=\"ConnectC1WithWill / Empty__Empty\"];\n\ts4 -> s4 [label=\"ConnectC1WithWillRetain / Empty__Empty\"];\n\ts4 -> s4 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts4 -> s4 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts4 -> s6 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts4 -> s4 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts4 -> s5 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts4 -> s3 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts5 -> s5 [label=\"ConnectC2 / c1_ConnectionClosed__Empty\"];\n\ts5 -> s15 [label=\"ConnectC1WithWill / c1_ConnAck__Empty\"];\n\ts5 -> s13 [label=\"ConnectC1WithWillRetain / c1_ConnAck__Empty\"];\n\ts5 -> s5 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__Empty\"];\n\ts5 -> s3 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_PubAck\"];\n\ts5 -> s9 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts5 -> s5 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_UnSubAck\"];\n\ts5 -> s5 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts5 -> s5 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts6 -> s6 [label=\"ConnectC2 / Empty__Empty\"];\n\ts6 -> s6 [label=\"ConnectC1WithWill / Empty__Empty\"];\n\ts6 -> s6 [label=\"ConnectC1WithWillRetain / Empty__Empty\"];\n\ts6 -> s6 [label=\"DeleteRetainedC1 / c1_PubAck__Pub(c2,my_topic,)\"];\n\ts6 -> s6 [label=\"DeleteRetainedC2 / Empty__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts6 -> s6 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts6 -> s4 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts6 -> s9 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts6 -> s8 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts7 -> s7 [label=\"ConnectC2 / Empty__Empty\"];\n\ts7 -> s7 [label=\"ConnectC1WithWill / Empty__Empty\"];\n\ts7 -> s7 [label=\"ConnectC1WithWillRetain / Empty__Empty\"];\n\ts7 -> s7 [label=\"DeleteRetainedC1 / c1_PubAck__Pub(c2,my_topic,)\"];\n\ts7 -> s7 [label=\"DeleteRetainedC2 / Empty__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts7 -> s7 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts7 -> s2 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts7 -> s8 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts7 -> s8 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts8 -> s8 [label=\"ConnectC2 / c1_ConnectionClosed__Empty\"];\n\ts8 -> s7 [label=\"ConnectC1WithWill / c1_ConnAck__Empty\"];\n\ts8 -> s6 [label=\"ConnectC1WithWillRetain / c1_ConnAck__Empty\"];\n\ts8 -> s8 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__Empty\"];\n\ts8 -> s8 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts8 -> s8 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_SubAck\"];\n\ts8 -> s3 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_UnSubAck\"];\n\ts8 -> s8 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts8 -> s8 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts9 -> s9 [label=\"ConnectC2 / c1_ConnectionClosed__Empty\"];\n\ts9 -> s12 [label=\"ConnectC1WithWill / c1_ConnAck__Empty\"];\n\ts9 -> s12 [label=\"ConnectC1WithWillRetain / c1_ConnAck__Empty\"];\n\ts9 -> s9 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__Empty\"];\n\ts9 -> s8 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts9 -> s9 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts9 -> s5 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_UnSubAck\"];\n\ts9 -> s9 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts9 -> s9 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts10 -> s4 [label=\"ConnectC2 / Empty__c2_ConnAck\"];\n\ts10 -> s10 [label=\"ConnectC1WithWill / Empty__c2_ConnectionClosed\"];\n\ts10 -> s10 [label=\"ConnectC1WithWillRetain / Empty__c2_ConnectionClosed\"];\n\ts10 -> s10 [label=\"DeleteRetainedC1 / c1_PubAck__c2_ConnectionClosed\"];\n\ts10 -> s10 [label=\"DeleteRetainedC2 / Empty__c2_ConnectionClosed\"];\n\ts10 -> s10 [label=\"SubscribeC2 / Empty__c2_ConnectionClosed\"];\n\ts10 -> s10 [label=\"UnSubScribeC2 / Empty__c2_ConnectionClosed\"];\n\ts10 -> s11 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts10 -> s0 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts11 -> s5 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnAck\"];\n\ts11 -> s16 [label=\"ConnectC1WithWill / c1_ConnAck__c2_ConnectionClosed\"];\n\ts11 -> s14 [label=\"ConnectC1WithWillRetain / c1_ConnAck__c2_ConnectionClosed\"];\n\ts11 -> s11 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts11 -> s11 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts11 -> s11 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts11 -> s11 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts11 -> s11 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts11 -> s11 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts12 -> s12 [label=\"ConnectC2 / Empty__Empty\"];\n\ts12 -> s12 [label=\"ConnectC1WithWill / Empty__Empty\"];\n\ts12 -> s12 [label=\"ConnectC1WithWillRetain / Empty__Empty\"];\n\ts12 -> s7 [label=\"DeleteRetainedC1 / c1_PubAck__Pub(c2,my_topic,)\"];\n\ts12 -> s7 [label=\"DeleteRetainedC2 / Empty__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts12 -> s12 [label=\"SubscribeC2 / Empty__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts12 -> s15 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts12 -> s9 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts12 -> s9 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts13 -> s13 [label=\"ConnectC2 / Empty__Empty\"];\n\ts13 -> s13 [label=\"ConnectC1WithWill / Empty__Empty\"];\n\ts13 -> s13 [label=\"ConnectC1WithWillRetain / Empty__Empty\"];\n\ts13 -> s4 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts13 -> s4 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts13 -> s12 [label=\"SubscribeC2 / Empty__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts13 -> s13 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts13 -> s5 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts13 -> s5 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts14 -> s13 [label=\"ConnectC2 / Empty__c2_ConnAck\"];\n\ts14 -> s14 [label=\"ConnectC1WithWill / Empty__c2_ConnectionClosed\"];\n\ts14 -> s14 [label=\"ConnectC1WithWillRetain / Empty__c2_ConnectionClosed\"];\n\ts14 -> s10 [label=\"DeleteRetainedC1 / c1_PubAck__c2_ConnectionClosed\"];\n\ts14 -> s14 [label=\"DeleteRetainedC2 / Empty__c2_ConnectionClosed\"];\n\ts14 -> s14 [label=\"SubscribeC2 / Empty__c2_ConnectionClosed\"];\n\ts14 -> s14 [label=\"UnSubScribeC2 / Empty__c2_ConnectionClosed\"];\n\ts14 -> s11 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts14 -> s11 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts15 -> s15 [label=\"ConnectC2 / Empty__Empty\"];\n\ts15 -> s15 [label=\"ConnectC1WithWill / Empty__Empty\"];\n\ts15 -> s15 [label=\"ConnectC1WithWillRetain / Empty__Empty\"];\n\ts15 -> s2 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts15 -> s2 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts15 -> s12 [label=\"SubscribeC2 / Empty__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts15 -> s15 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts15 -> s5 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts15 -> s5 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts16 -> s15 [label=\"ConnectC2 / Empty__c2_ConnAck\"];\n\ts16 -> s16 [label=\"ConnectC1WithWill / Empty__c2_ConnectionClosed\"];\n\ts16 -> s16 [label=\"ConnectC1WithWillRetain / Empty__c2_ConnectionClosed\"];\n\ts16 -> s1 [label=\"DeleteRetainedC1 / c1_PubAck__c2_ConnectionClosed\"];\n\ts16 -> s16 [label=\"DeleteRetainedC2 / Empty__c2_ConnectionClosed\"];\n\ts16 -> s16 [label=\"SubscribeC2 / Empty__c2_ConnectionClosed\"];\n\ts16 -> s16 [label=\"UnSubScribeC2 / Empty__c2_ConnectionClosed\"];\n\ts16 -> s11 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts16 -> s11 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\n__start0 -> s0;\n}\n"
  },
  {
    "path": "DotModels/MQTT/mosquitto__two_client_will_retain.dot",
    "content": "digraph g {\n__start0 [label=\"\" shape=\"none\"];\n\n\ts0 [shape=\"circle\" label=\"s0\"];\n\ts1 [shape=\"circle\" label=\"s1\"];\n\ts2 [shape=\"circle\" label=\"s2\"];\n\ts3 [shape=\"circle\" label=\"s3\"];\n\ts4 [shape=\"circle\" label=\"s4\"];\n\ts5 [shape=\"circle\" label=\"s5\"];\n\ts6 [shape=\"circle\" label=\"s6\"];\n\ts7 [shape=\"circle\" label=\"s7\"];\n\ts8 [shape=\"circle\" label=\"s8\"];\n\ts9 [shape=\"circle\" label=\"s9\"];\n\ts10 [shape=\"circle\" label=\"s10\"];\n\ts11 [shape=\"circle\" label=\"s11\"];\n\ts12 [shape=\"circle\" label=\"s12\"];\n\ts13 [shape=\"circle\" label=\"s13\"];\n\ts14 [shape=\"circle\" label=\"s14\"];\n\ts15 [shape=\"circle\" label=\"s15\"];\n\ts16 [shape=\"circle\" label=\"s16\"];\n\ts17 [shape=\"circle\" label=\"s17\"];\n\ts0 -> s1 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnAck\"];\n\ts0 -> s3 [label=\"ConnectC1WithWill / c1_ConnAck__c2_ConnectionClosed\"];\n\ts0 -> s7 [label=\"ConnectC1WithWillRetain / c1_ConnAck__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts0 -> s0 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts1 -> s0 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts1 -> s2 [label=\"ConnectC1WithWill / c1_ConnAck__Empty\"];\n\ts1 -> s6 [label=\"ConnectC1WithWillRetain / c1_ConnAck__Empty\"];\n\ts1 -> s1 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__Empty\"];\n\ts1 -> s1 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_PubAck\"];\n\ts1 -> s4 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_SubAck\"];\n\ts1 -> s1 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_UnSubAck\"];\n\ts1 -> s1 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts1 -> s1 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts2 -> s3 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts2 -> s1 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Empty\"];\n\ts2 -> s1 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Empty\"];\n\ts2 -> s2 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts2 -> s2 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts2 -> s14 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts2 -> s2 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts2 -> s1 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts2 -> s1 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts3 -> s2 [label=\"ConnectC2 / Empty__c2_ConnAck\"];\n\ts3 -> s0 [label=\"ConnectC1WithWill / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts3 -> s0 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts3 -> s3 [label=\"DeleteRetainedC1 / c1_PubAck__c2_ConnectionClosed\"];\n\ts3 -> s3 [label=\"DeleteRetainedC2 / Empty__c2_ConnectionClosed\"];\n\ts3 -> s3 [label=\"SubscribeC2 / Empty__c2_ConnectionClosed\"];\n\ts3 -> s3 [label=\"UnSubScribeC2 / Empty__c2_ConnectionClosed\"];\n\ts3 -> s0 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts3 -> s0 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts4 -> s0 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts4 -> s14 [label=\"ConnectC1WithWill / c1_ConnAck__Empty\"];\n\ts4 -> s5 [label=\"ConnectC1WithWillRetain / c1_ConnAck__Empty\"];\n\ts4 -> s4 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__Empty\"];\n\ts4 -> s4 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts4 -> s4 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_SubAck\"];\n\ts4 -> s1 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_UnSubAck\"];\n\ts4 -> s4 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts4 -> s4 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts5 -> s7 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts5 -> s12 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts5 -> s12 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts5 -> s5 [label=\"DeleteRetainedC1 / c1_PubAck__Pub(c2,my_topic,)\"];\n\ts5 -> s5 [label=\"DeleteRetainedC2 / Empty__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts5 -> s5 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts5 -> s6 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts5 -> s12 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts5 -> s4 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts6 -> s7 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts6 -> s9 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Empty\"];\n\ts6 -> s9 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Empty\"];\n\ts6 -> s6 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts6 -> s6 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts6 -> s5 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts6 -> s6 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts6 -> s9 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts6 -> s1 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts7 -> s6 [label=\"ConnectC2 / Empty__c2_ConnAck\"];\n\ts7 -> s8 [label=\"ConnectC1WithWill / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts7 -> s8 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts7 -> s7 [label=\"DeleteRetainedC1 / c1_PubAck__c2_ConnectionClosed\"];\n\ts7 -> s7 [label=\"DeleteRetainedC2 / Empty__c2_ConnectionClosed\"];\n\ts7 -> s7 [label=\"SubscribeC2 / Empty__c2_ConnectionClosed\"];\n\ts7 -> s7 [label=\"UnSubScribeC2 / Empty__c2_ConnectionClosed\"];\n\ts7 -> s8 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts7 -> s0 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts8 -> s9 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnAck\"];\n\ts8 -> s10 [label=\"ConnectC1WithWill / c1_ConnAck__c2_ConnectionClosed\"];\n\ts8 -> s16 [label=\"ConnectC1WithWillRetain / c1_ConnAck__c2_ConnectionClosed\"];\n\ts8 -> s8 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts8 -> s8 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts8 -> s8 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts8 -> s8 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts8 -> s8 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts8 -> s8 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts9 -> s8 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts9 -> s11 [label=\"ConnectC1WithWill / c1_ConnAck__Empty\"];\n\ts9 -> s17 [label=\"ConnectC1WithWillRetain / c1_ConnAck__Empty\"];\n\ts9 -> s9 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__Empty\"];\n\ts9 -> s1 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__c2_PubAck\"];\n\ts9 -> s12 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts9 -> s9 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_UnSubAck\"];\n\ts9 -> s9 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts9 -> s9 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts10 -> s11 [label=\"ConnectC2 / Empty__c2_ConnAck\"];\n\ts10 -> s8 [label=\"ConnectC1WithWill / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts10 -> s8 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts10 -> s3 [label=\"DeleteRetainedC1 / c1_PubAck__c2_ConnectionClosed\"];\n\ts10 -> s10 [label=\"DeleteRetainedC2 / Empty__c2_ConnectionClosed\"];\n\ts10 -> s10 [label=\"SubscribeC2 / Empty__c2_ConnectionClosed\"];\n\ts10 -> s10 [label=\"UnSubScribeC2 / Empty__c2_ConnectionClosed\"];\n\ts10 -> s8 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts10 -> s8 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts11 -> s10 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts11 -> s9 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Empty\"];\n\ts11 -> s9 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Empty\"];\n\ts11 -> s2 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts11 -> s2 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts11 -> s15 [label=\"SubscribeC2 / Empty__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts11 -> s11 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts11 -> s9 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts11 -> s9 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts12 -> s8 [label=\"ConnectC2 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts12 -> s15 [label=\"ConnectC1WithWill / c1_ConnAck__Empty\"];\n\ts12 -> s13 [label=\"ConnectC1WithWillRetain / c1_ConnAck__Empty\"];\n\ts12 -> s12 [label=\"DeleteRetainedC1 / c1_ConnectionClosed__Empty\"];\n\ts12 -> s4 [label=\"DeleteRetainedC2 / c1_ConnectionClosed__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts12 -> s12 [label=\"SubscribeC2 / c1_ConnectionClosed__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts12 -> s9 [label=\"UnSubScribeC2 / c1_ConnectionClosed__c2_UnSubAck\"];\n\ts12 -> s12 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts12 -> s12 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts13 -> s16 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts13 -> s12 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts13 -> s12 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts13 -> s5 [label=\"DeleteRetainedC1 / c1_PubAck__Pub(c2,my_topic,)\"];\n\ts13 -> s5 [label=\"DeleteRetainedC2 / Empty__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts13 -> s13 [label=\"SubscribeC2 / Empty__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts13 -> s17 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts13 -> s12 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts13 -> s12 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts14 -> s3 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts14 -> s4 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts14 -> s4 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts14 -> s14 [label=\"DeleteRetainedC1 / c1_PubAck__Pub(c2,my_topic,)\"];\n\ts14 -> s14 [label=\"DeleteRetainedC2 / Empty__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts14 -> s14 [label=\"SubscribeC2 / Empty__c2_SubAck\"];\n\ts14 -> s2 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts14 -> s4 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts14 -> s4 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts15 -> s10 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts15 -> s12 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts15 -> s12 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts15 -> s14 [label=\"DeleteRetainedC1 / c1_PubAck__Pub(c2,my_topic,)\"];\n\ts15 -> s14 [label=\"DeleteRetainedC2 / Empty__Pub(c2,my_topic,)__c2_PubAck\"];\n\ts15 -> s15 [label=\"SubscribeC2 / Empty__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts15 -> s11 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts15 -> s12 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Pub(c2,my_topic,bye)\"];\n\ts15 -> s12 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\ts16 -> s17 [label=\"ConnectC2 / Empty__c2_ConnAck\"];\n\ts16 -> s8 [label=\"ConnectC1WithWill / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts16 -> s8 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts16 -> s7 [label=\"DeleteRetainedC1 / c1_PubAck__c2_ConnectionClosed\"];\n\ts16 -> s16 [label=\"DeleteRetainedC2 / Empty__c2_ConnectionClosed\"];\n\ts16 -> s16 [label=\"SubscribeC2 / Empty__c2_ConnectionClosed\"];\n\ts16 -> s16 [label=\"UnSubScribeC2 / Empty__c2_ConnectionClosed\"];\n\ts16 -> s8 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts16 -> s8 [label=\"DisconnectC1 / c1_ConnectionClosed__c2_ConnectionClosed\"];\n\ts17 -> s16 [label=\"ConnectC2 / Empty__c2_ConnectionClosed\"];\n\ts17 -> s9 [label=\"ConnectC1WithWill / c1_ConnectionClosed__Empty\"];\n\ts17 -> s9 [label=\"ConnectC1WithWillRetain / c1_ConnectionClosed__Empty\"];\n\ts17 -> s6 [label=\"DeleteRetainedC1 / c1_PubAck__Empty\"];\n\ts17 -> s6 [label=\"DeleteRetainedC2 / Empty__c2_PubAck\"];\n\ts17 -> s13 [label=\"SubscribeC2 / Empty__c2_SubAck__Pub(c2,my_topic,bye)\"];\n\ts17 -> s17 [label=\"UnSubScribeC2 / Empty__c2_UnSubAck\"];\n\ts17 -> s9 [label=\"DisconnectTCPC1 / c1_ConnectionClosed__Empty\"];\n\ts17 -> s9 [label=\"DisconnectC1 / c1_ConnectionClosed__Empty\"];\n\n__start0 -> s0;\n}\n"
  },
  {
    "path": "DotModels/SimpleABC/simple_abc_dfa.dot",
    "content": "digraph simpleABCDfa {\ns0 [label=\"s0\"];\ns1 [label=\"s1\", shape=doublecircle];\ns0 -> s1 [label=\"a\"];\ns0 -> s0 [label=\"b\"];\ns0 -> s0 [label=\"c\"];\ns1 -> s1 [label=\"a\"];\ns1 -> s0 [label=\"b\"];\ns1 -> s0 [label=\"c\"];\n__start0 [shape=none, label=\"\"];\n__start0 -> s0 [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/SimpleABC/simple_abc_mealy.dot",
    "content": "digraph simpleABCmealy{\ns0 [label=\"s0\"];\ns0 -> s0 [label=\"a/1\"];\ns0 -> s0 [label=\"b/2\"];\ns0 -> s0 [label=\"c/3\"];\n__start0 [shape=none, label=\"\"];\n__start0 -> s0 [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/SimpleABC/simple_abc_moore.dot",
    "content": "digraph simpleABCmoore{\ns0 [label=\"s0|0\", shape=record, style=rounded];\ns1 [label=\"s1|1\", shape=record, style=rounded];\ns2 [label=\"s2|2\", shape=record, style=rounded];\ns3 [label=\"s3|3\", shape=record, style=rounded];\ns0 -> s1 [label=\"a\"];\ns0 -> s2 [label=\"b\"];\ns0 -> s3 [label=\"c\"];\ns1 -> s1 [label=\"a\"];\ns1 -> s2 [label=\"b\"];\ns1 -> s3 [label=\"c\"];\ns2 -> s1 [label=\"a\"];\ns2 -> s2 [label=\"b\"];\ns2 -> s3 [label=\"c\"];\ns3 -> s1 [label=\"a\"];\ns3 -> s2 [label=\"b\"];\ns3 -> s3 [label=\"c\"];\n__start0 [shape=none, label=\"\"];\n__start0 -> s0 [label=\"\"];\n}\n\n"
  },
  {
    "path": "DotModels/TCP/TCP_Linux_Client.dot",
    "content": "digraph \"TrainingDataAndAutomata/TCP_Linux_Client1.dot\" {\ns0 [label=s0];\ns1 [label=s1];\ns2 [label=s2];\ns3 [label=s3];\ns4 [label=s4];\ns5 [label=s5];\ns6 [label=s6];\ns7 [label=s7];\ns8 [label=s8];\ns9 [label=s9];\ns10 [label=s10];\ns11 [label=s11];\ns12 [label=s12];\ns13 [label=s13];\ns14 [label=s14];\ns0 -> s0  [label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns0 -> s0  [label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns0 -> s0  [label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns0 -> s0  [label=\"RST(V,V,0)/TIMEOUT\"];\ns0 -> s0  [label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns0 -> s0  [label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns0 -> s0  [label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns0 -> s0  [label=\"RCV/TIMEOUT\"];\ns0 -> s1  [label=\"CLOSE/TIMEOUT\"];\ns0 -> s2  [label=\"CONNECT/SYN(FRESH,ZERO,0)\"];\ns1 -> s1  [label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns1 -> s1  [label=\"CLOSE/TIMEOUT\"];\ns1 -> s1  [label=\"CONNECT/TIMEOUT\"];\ns1 -> s1  [label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns1 -> s1  [label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns1 -> s1  [label=\"RST(V,V,0)/TIMEOUT\"];\ns1 -> s1  [label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns1 -> s1  [label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns1 -> s1  [label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns1 -> s1  [label=\"RCV/TIMEOUT\"];\ns2 -> s1  [label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns2 -> s5  [label=\"CLOSE/TIMEOUT\"];\ns2 -> s2  [label=\"CONNECT/TIMEOUT\"];\ns2 -> s2  [label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns2 -> s2  [label=\"ACK(V,V,0)/TIMEOUT\"];\ns2 -> s2  [label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns2 -> s2  [label=\"RCV/TIMEOUT\"];\ns2 -> s4  [label=\"SYN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns2 -> s6  [label=\"RST(V,V,0)/TIMEOUT\"];\ns2 -> s3  [label=\"SYN(V,V,0)/ACK+SYN(CURRENT,NEXT,0)\"];\ns3 -> s1  [label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns3 -> s1  [label=\"RST(V,V,0)/TIMEOUT\"];\ns3 -> s8  [label=\"CLOSE/ACK+FIN(NEXT,CURRENT,0)\"];\ns3 -> s3  [label=\"CONNECT/TIMEOUT\"];\ns3 -> s3  [label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns3 -> s3  [label=\"SYN(V,V,0)/TIMEOUT\"];\ns3 -> s3  [label=\"RCV/TIMEOUT\"];\ns3 -> s7  [label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns3 -> s4  [label=\"ACK(V,V,0)/TIMEOUT\"];\ns3 -> s9  [label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns4 -> s1  [label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns4 -> s1  [label=\"RST(V,V,0)/TIMEOUT\"];\ns4 -> s8  [label=\"CLOSE/ACK+FIN(NEXT,CURRENT,0)\"];\ns4 -> s4  [label=\"CONNECT/TIMEOUT\"];\ns4 -> s4  [label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns4 -> s4  [label=\"ACK(V,V,0)/TIMEOUT\"];\ns4 -> s4  [label=\"SYN(V,V,0)/TIMEOUT\"];\ns4 -> s7  [label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns4 -> s9  [label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns4 -> s10  [label=\"RCV/TIMEOUT\"];\ns5 -> s1  [label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns5 -> s1  [label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns5 -> s1  [label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns5 -> s1  [label=\"RST(V,V,0)/TIMEOUT\"];\ns5 -> s1  [label=\"ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns5 -> s1  [label=\"FIN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns5 -> s1  [label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns5 -> s5  [label=\"CLOSE/TIMEOUT\"];\ns5 -> s5  [label=\"CONNECT/TIMEOUT\"];\ns5 -> s5  [label=\"RCV/TIMEOUT\"];\ns6 -> s6  [label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns6 -> s6  [label=\"CONNECT/TIMEOUT\"];\ns6 -> s6  [label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns6 -> s6  [label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns6 -> s6  [label=\"RST(V,V,0)/TIMEOUT\"];\ns6 -> s6  [label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns6 -> s6  [label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns6 -> s6  [label=\"RCV/TIMEOUT\"];\ns6 -> s1  [label=\"CLOSE/TIMEOUT\"];\ns6 -> s3  [label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns7 -> s1  [label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns7 -> s1  [label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns7 -> s1  [label=\"RST(V,V,0)/TIMEOUT\"];\ns7 -> s7  [label=\"CONNECT/TIMEOUT\"];\ns7 -> s7  [label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns7 -> s7  [label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns7 -> s7  [label=\"ACK(V,V,0)/TIMEOUT\"];\ns7 -> s7  [label=\"SYN(V,V,0)/TIMEOUT\"];\ns7 -> s11  [label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns7 -> s4  [label=\"RCV/TIMEOUT\"];\ns8 -> s1  [label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns8 -> s1  [label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns8 -> s1  [label=\"RST(V,V,0)/TIMEOUT\"];\ns8 -> s8  [label=\"CLOSE/TIMEOUT\"];\ns8 -> s8  [label=\"CONNECT/TIMEOUT\"];\ns8 -> s8  [label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns8 -> s8  [label=\"SYN(V,V,0)/TIMEOUT\"];\ns8 -> s8  [label=\"RCV/TIMEOUT\"];\ns8 -> s12  [label=\"ACK(V,V,0)/TIMEOUT\"];\ns8 -> s13  [label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns9 -> s1  [label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns9 -> s1  [label=\"RST(V,V,0)/TIMEOUT\"];\ns9 -> s14  [label=\"CLOSE/ACK+FIN(NEXT,CURRENT,0)\"];\ns9 -> s9  [label=\"CONNECT/TIMEOUT\"];\ns9 -> s9  [label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns9 -> s9  [label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns9 -> s9  [label=\"ACK(V,V,0)/TIMEOUT\"];\ns9 -> s9  [label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns9 -> s9  [label=\"SYN(V,V,0)/TIMEOUT\"];\ns9 -> s9  [label=\"RCV/TIMEOUT\"];\ns10 -> s1  [label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns10 -> s1  [label=\"RST(V,V,0)/TIMEOUT\"];\ns10 -> s8  [label=\"CLOSE/ACK+FIN(NEXT,CURRENT,0)\"];\ns10 -> s10  [label=\"CONNECT/TIMEOUT\"];\ns10 -> s10  [label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns10 -> s10  [label=\"ACK(V,V,0)/TIMEOUT\"];\ns10 -> s10  [label=\"SYN(V,V,0)/TIMEOUT\"];\ns10 -> s10  [label=\"RCV/TIMEOUT\"];\ns10 -> s4  [label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns10 -> s9  [label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns11 -> s1  [label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns11 -> s1  [label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns11 -> s1  [label=\"RST(V,V,0)/TIMEOUT\"];\ns11 -> s11  [label=\"CONNECT/TIMEOUT\"];\ns11 -> s11  [label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns11 -> s11  [label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns11 -> s11  [label=\"ACK(V,V,0)/TIMEOUT\"];\ns11 -> s11  [label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns11 -> s11  [label=\"SYN(V,V,0)/TIMEOUT\"];\ns11 -> s9  [label=\"RCV/TIMEOUT\"];\ns12 -> s1  [label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns12 -> s1  [label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns12 -> s1  [label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns12 -> s1  [label=\"RST(V,V,0)/TIMEOUT\"];\ns12 -> s1  [label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns12 -> s12  [label=\"CLOSE/TIMEOUT\"];\ns12 -> s12  [label=\"CONNECT/TIMEOUT\"];\ns12 -> s12  [label=\"ACK(V,V,0)/TIMEOUT\"];\ns12 -> s12  [label=\"RCV/TIMEOUT\"];\ns12 -> s13  [label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns13 -> s1  [label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns13 -> s1  [label=\"RST(V,V,0)/TIMEOUT\"];\ns13 -> s13  [label=\"CLOSE/TIMEOUT\"];\ns13 -> s13  [label=\"CONNECT/TIMEOUT\"];\ns13 -> s13  [label=\"ACK+PSH(V,V,1)/ACK(NEXT,CURRENT,0)\"];\ns13 -> s13  [label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns13 -> s13  [label=\"ACK(V,V,0)/TIMEOUT\"];\ns13 -> s13  [label=\"FIN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns13 -> s13  [label=\"SYN(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns13 -> s13  [label=\"RCV/TIMEOUT\"];\ns14 -> s1  [label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns14 -> s1  [label=\"RST(V,V,0)/TIMEOUT\"];\ns14 -> s14  [label=\"CLOSE/TIMEOUT\"];\ns14 -> s14  [label=\"CONNECT/TIMEOUT\"];\ns14 -> s14  [label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns14 -> s14  [label=\"SYN(V,V,0)/TIMEOUT\"];\ns14 -> s14  [label=\"RCV/TIMEOUT\"];\ns14 -> s5  [label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns14 -> s5  [label=\"ACK(V,V,0)/TIMEOUT\"];\ns14 -> s5  [label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/TCP/tcp_server_bsd_trans.dot",
    "content": "digraph G {\n__start0 [label=\"\" shape=\"none\"];\ns0 [shape=\"circle\" label=\"s0\"];\ns0 -> s0[label=\"CLOSECONNECTION/TIMEOUT\"];\ns0 -> s0[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns0 -> s0[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns0 -> s0[label=\"RST(V,V,0)/TIMEOUT\"];\ns0 -> s0[label=\"ACCEPT/TIMEOUT\"];\ns0 -> s0[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns0 -> s1[label=\"LISTEN/TIMEOUT\"];\ns0 -> s0[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns0 -> s0[label=\"RCV/TIMEOUT\"];\ns0 -> s0[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns0 -> s2[label=\"CLOSE/TIMEOUT\"];\ns0 -> s0[label=\"SEND/TIMEOUT\"];\ns0 -> s0[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns1 [shape=\"circle\" label=\"s1\"];\ns1 -> s1[label=\"CLOSECONNECTION/TIMEOUT\"];\ns1 -> s1[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns1 -> s1[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns1 -> s1[label=\"RST(V,V,0)/TIMEOUT\"];\ns1 -> s4[label=\"ACCEPT/TIMEOUT\"];\ns1 -> s1[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns1 -> s1[label=\"LISTEN/TIMEOUT\"];\ns1 -> s3[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns1 -> s1[label=\"RCV/TIMEOUT\"];\ns1 -> s1[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns1 -> s2[label=\"CLOSE/TIMEOUT\"];\ns1 -> s1[label=\"SEND/TIMEOUT\"];\ns1 -> s1[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns2 [shape=\"circle\" label=\"s2\"];\ns2 -> s2[label=\"CLOSECONNECTION/TIMEOUT\"];\ns2 -> s2[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns2 -> s2[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns2 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns2 -> s2[label=\"ACCEPT/TIMEOUT\"];\ns2 -> s2[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns2 -> s2[label=\"LISTEN/TIMEOUT\"];\ns2 -> s2[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns2 -> s2[label=\"RCV/TIMEOUT\"];\ns2 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns2 -> s2[label=\"CLOSE/TIMEOUT\"];\ns2 -> s2[label=\"SEND/TIMEOUT\"];\ns2 -> s2[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns3 [shape=\"circle\" label=\"s3\"];\ns3 -> s3[label=\"CLOSECONNECTION/TIMEOUT\"];\ns3 -> s8[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns3 -> s6[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns3 -> s1[label=\"RST(V,V,0)/TIMEOUT\"];\ns3 -> s9[label=\"ACCEPT/TIMEOUT\"];\ns3 -> s7[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns3 -> s3[label=\"LISTEN/TIMEOUT\"];\ns3 -> s3[label=\"SYN(V,V,0)/TIMEOUT\"];\ns3 -> s3[label=\"RCV/TIMEOUT\"];\ns3 -> s10[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns3 -> s5[label=\"CLOSE/TIMEOUT\"];\ns3 -> s3[label=\"SEND/TIMEOUT\"];\ns3 -> s8[label=\"ACK(V,V,0)/TIMEOUT\"];\ns4 [shape=\"circle\" label=\"s4\"];\ns4 -> s1[label=\"CLOSECONNECTION/TIMEOUT\"];\ns4 -> s4[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns4 -> s4[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns4 -> s4[label=\"RST(V,V,0)/TIMEOUT\"];\ns4 -> s4[label=\"ACCEPT/TIMEOUT\"];\ns4 -> s4[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns4 -> s4[label=\"LISTEN/TIMEOUT\"];\ns4 -> s9[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns4 -> s4[label=\"RCV/TIMEOUT\"];\ns4 -> s4[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns4 -> s2[label=\"CLOSE/TIMEOUT\"];\ns4 -> s4[label=\"SEND/TIMEOUT\"];\ns4 -> s4[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns5 [shape=\"circle\" label=\"s5\"];\ns5 -> s5[label=\"CLOSECONNECTION/TIMEOUT\"];\ns5 -> s2[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns5 -> s5[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns5 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns5 -> s5[label=\"ACCEPT/TIMEOUT\"];\ns5 -> s2[label=\"FIN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns5 -> s5[label=\"LISTEN/TIMEOUT\"];\ns5 -> s2[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns5 -> s5[label=\"RCV/TIMEOUT\"];\ns5 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns5 -> s5[label=\"CLOSE/TIMEOUT\"];\ns5 -> s5[label=\"SEND/TIMEOUT\"];\ns5 -> s2[label=\"ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns6 [shape=\"circle\" label=\"s6\"];\ns6 -> s6[label=\"CLOSECONNECTION/TIMEOUT\"];\ns6 -> s1[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns6 -> s6[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns6 -> s1[label=\"RST(V,V,0)/TIMEOUT\"];\ns6 -> s11[label=\"ACCEPT/TIMEOUT\"];\ns6 -> s1[label=\"FIN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns6 -> s6[label=\"LISTEN/TIMEOUT\"];\ns6 -> s3[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns6 -> s6[label=\"RCV/TIMEOUT\"];\ns6 -> s1[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns6 -> s5[label=\"CLOSE/TIMEOUT\"];\ns6 -> s6[label=\"SEND/TIMEOUT\"];\ns6 -> s1[label=\"ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns7 [shape=\"circle\" label=\"s7\"];\ns7 -> s7[label=\"CLOSECONNECTION/TIMEOUT\"];\ns7 -> s7[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns7 -> s12[label=\"SYN+ACK(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns7 -> s12[label=\"RST(V,V,0)/TIMEOUT\"];\ns7 -> s13[label=\"ACCEPT/TIMEOUT\"];\ns7 -> s7[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns7 -> s7[label=\"LISTEN/TIMEOUT\"];\ns7 -> s12[label=\"SYN(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns7 -> s7[label=\"RCV/TIMEOUT\"];\ns7 -> s12[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns7 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns7 -> s7[label=\"SEND/TIMEOUT\"];\ns7 -> s7[label=\"ACK(V,V,0)/TIMEOUT\"];\ns8 [shape=\"circle\" label=\"s8\"];\ns8 -> s8[label=\"CLOSECONNECTION/TIMEOUT\"];\ns8 -> s8[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns8 -> s12[label=\"SYN+ACK(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns8 -> s12[label=\"RST(V,V,0)/TIMEOUT\"];\ns8 -> s14[label=\"ACCEPT/TIMEOUT\"];\ns8 -> s7[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns8 -> s8[label=\"LISTEN/TIMEOUT\"];\ns8 -> s12[label=\"SYN(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns8 -> s8[label=\"RCV/TIMEOUT\"];\ns8 -> s12[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns8 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns8 -> s8[label=\"SEND/TIMEOUT\"];\ns8 -> s8[label=\"ACK(V,V,0)/TIMEOUT\"];\ns9 [shape=\"circle\" label=\"s9\"];\ns9 -> s3[label=\"CLOSECONNECTION/TIMEOUT\"];\ns9 -> s14[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns9 -> s11[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns9 -> s4[label=\"RST(V,V,0)/TIMEOUT\"];\ns9 -> s9[label=\"ACCEPT/TIMEOUT\"];\ns9 -> s13[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns9 -> s9[label=\"LISTEN/TIMEOUT\"];\ns9 -> s9[label=\"SYN(V,V,0)/TIMEOUT\"];\ns9 -> s9[label=\"RCV/TIMEOUT\"];\ns9 -> s15[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns9 -> s5[label=\"CLOSE/TIMEOUT\"];\ns9 -> s9[label=\"SEND/TIMEOUT\"];\ns9 -> s14[label=\"ACK(V,V,0)/TIMEOUT\"];\ns10 [shape=\"circle\" label=\"s10\"];\ns10 -> s10[label=\"CLOSECONNECTION/TIMEOUT\"];\ns10 -> s1[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns10 -> s1[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns10 -> s10[label=\"RST(V,V,0)/TIMEOUT\"];\ns10 -> s15[label=\"ACCEPT/TIMEOUT\"];\ns10 -> s1[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns10 -> s10[label=\"LISTEN/TIMEOUT\"];\ns10 -> s10[label=\"SYN(V,V,0)/TIMEOUT\"];\ns10 -> s10[label=\"RCV/TIMEOUT\"];\ns10 -> s10[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns10 -> s2[label=\"CLOSE/TIMEOUT\"];\ns10 -> s10[label=\"SEND/TIMEOUT\"];\ns10 -> s1[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns11 [shape=\"circle\" label=\"s11\"];\ns11 -> s6[label=\"CLOSECONNECTION/TIMEOUT\"];\ns11 -> s4[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns11 -> s11[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns11 -> s4[label=\"RST(V,V,0)/TIMEOUT\"];\ns11 -> s11[label=\"ACCEPT/TIMEOUT\"];\ns11 -> s4[label=\"FIN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns11 -> s11[label=\"LISTEN/TIMEOUT\"];\ns11 -> s9[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns11 -> s11[label=\"RCV/TIMEOUT\"];\ns11 -> s4[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns11 -> s5[label=\"CLOSE/TIMEOUT\"];\ns11 -> s11[label=\"SEND/TIMEOUT\"];\ns11 -> s4[label=\"ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns12 [shape=\"circle\" label=\"s12\"];\ns12 -> s12[label=\"CLOSECONNECTION/TIMEOUT\"];\ns12 -> s12[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns12 -> s12[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns12 -> s12[label=\"RST(V,V,0)/TIMEOUT\"];\ns12 -> s1[label=\"ACCEPT/TIMEOUT\"];\ns12 -> s12[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns12 -> s12[label=\"LISTEN/TIMEOUT\"];\ns12 -> s16[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns12 -> s12[label=\"RCV/TIMEOUT\"];\ns12 -> s12[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns12 -> s2[label=\"CLOSE/TIMEOUT\"];\ns12 -> s12[label=\"SEND/TIMEOUT\"];\ns12 -> s12[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns13 [shape=\"circle\" label=\"s13\"];\ns13 -> s18[label=\"CLOSECONNECTION/ACK+FIN(NEXT,CURRENT,0)\"];\ns13 -> s13[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns13 -> s19[label=\"SYN+ACK(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns13 -> s19[label=\"RST(V,V,0)/TIMEOUT\"];\ns13 -> s13[label=\"ACCEPT/TIMEOUT\"];\ns13 -> s13[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns13 -> s13[label=\"LISTEN/TIMEOUT\"];\ns13 -> s19[label=\"SYN(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns13 -> s13[label=\"RCV/TIMEOUT\"];\ns13 -> s19[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns13 -> s17[label=\"CLOSE/TIMEOUT\"];\ns13 -> s13[label=\"SEND/ACK+PSH(NEXT,CURRENT,1)\"];\ns13 -> s13[label=\"ACK(V,V,0)/TIMEOUT\"];\ns14 [shape=\"circle\" label=\"s14\"];\ns14 -> s21[label=\"CLOSECONNECTION/ACK+FIN(NEXT,CURRENT,0)\"];\ns14 -> s14[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns14 -> s19[label=\"SYN+ACK(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns14 -> s19[label=\"RST(V,V,0)/TIMEOUT\"];\ns14 -> s14[label=\"ACCEPT/TIMEOUT\"];\ns14 -> s13[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns14 -> s14[label=\"LISTEN/TIMEOUT\"];\ns14 -> s19[label=\"SYN(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns14 -> s14[label=\"RCV/TIMEOUT\"];\ns14 -> s19[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns14 -> s20[label=\"CLOSE/TIMEOUT\"];\ns14 -> s14[label=\"SEND/ACK+PSH(NEXT,CURRENT,1)\"];\ns14 -> s14[label=\"ACK(V,V,0)/TIMEOUT\"];\ns15 [shape=\"circle\" label=\"s15\"];\ns15 -> s10[label=\"CLOSECONNECTION/TIMEOUT\"];\ns15 -> s4[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns15 -> s4[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns15 -> s15[label=\"RST(V,V,0)/TIMEOUT\"];\ns15 -> s15[label=\"ACCEPT/TIMEOUT\"];\ns15 -> s4[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns15 -> s15[label=\"LISTEN/TIMEOUT\"];\ns15 -> s15[label=\"SYN(V,V,0)/TIMEOUT\"];\ns15 -> s15[label=\"RCV/TIMEOUT\"];\ns15 -> s15[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns15 -> s2[label=\"CLOSE/TIMEOUT\"];\ns15 -> s15[label=\"SEND/TIMEOUT\"];\ns15 -> s4[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns16 [shape=\"circle\" label=\"s16\"];\ns16 -> s16[label=\"CLOSECONNECTION/TIMEOUT\"];\ns16 -> s23[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns16 -> s22[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns16 -> s12[label=\"RST(V,V,0)/TIMEOUT\"];\ns16 -> s3[label=\"ACCEPT/TIMEOUT\"];\ns16 -> s24[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns16 -> s16[label=\"LISTEN/TIMEOUT\"];\ns16 -> s16[label=\"SYN(V,V,0)/TIMEOUT\"];\ns16 -> s16[label=\"RCV/TIMEOUT\"];\ns16 -> s25[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns16 -> s5[label=\"CLOSE/TIMEOUT\"];\ns16 -> s16[label=\"SEND/TIMEOUT\"];\ns16 -> s23[label=\"ACK(V,V,0)/TIMEOUT\"];\ns17 [shape=\"circle\" label=\"s17\"];\ns17 -> s26[label=\"CLOSECONNECTION/ACK+FIN(NEXT,CURRENT,0)\"];\ns17 -> s17[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns17 -> s2[label=\"SYN+ACK(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns17 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns17 -> s17[label=\"ACCEPT/TIMEOUT\"];\ns17 -> s17[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns17 -> s17[label=\"LISTEN/TIMEOUT\"];\ns17 -> s2[label=\"SYN(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns17 -> s17[label=\"RCV/TIMEOUT\"];\ns17 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns17 -> s17[label=\"CLOSE/TIMEOUT\"];\ns17 -> s17[label=\"SEND/ACK+PSH(NEXT,CURRENT,1)\"];\ns17 -> s17[label=\"ACK(V,V,0)/TIMEOUT\"];\ns18 [shape=\"circle\" label=\"s18\"];\ns18 -> s18[label=\"CLOSECONNECTION/TIMEOUT\"];\ns18 -> s1[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns18 -> s1[label=\"SYN+ACK(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns18 -> s1[label=\"RST(V,V,0)/TIMEOUT\"];\ns18 -> s27[label=\"ACCEPT/TIMEOUT\"];\ns18 -> s6[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns18 -> s18[label=\"LISTEN/TIMEOUT\"];\ns18 -> s1[label=\"SYN(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns18 -> s18[label=\"RCV/TIMEOUT\"];\ns18 -> s1[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns18 -> s26[label=\"CLOSE/TIMEOUT\"];\ns18 -> s18[label=\"SEND/TIMEOUT\"];\ns18 -> s6[label=\"ACK(V,V,0)/TIMEOUT\"];\ns19 [shape=\"circle\" label=\"s19\"];\ns19 -> s1[label=\"CLOSECONNECTION/TIMEOUT\"];\ns19 -> s19[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns19 -> s19[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns19 -> s19[label=\"RST(V,V,0)/TIMEOUT\"];\ns19 -> s19[label=\"ACCEPT/TIMEOUT\"];\ns19 -> s19[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns19 -> s19[label=\"LISTEN/TIMEOUT\"];\ns19 -> s28[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns19 -> s19[label=\"RCV/TIMEOUT\"];\ns19 -> s19[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns19 -> s2[label=\"CLOSE/TIMEOUT\"];\ns19 -> s19[label=\"SEND/TIMEOUT\"];\ns19 -> s19[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns20 [shape=\"circle\" label=\"s20\"];\ns20 -> s29[label=\"CLOSECONNECTION/ACK+FIN(NEXT,CURRENT,0)\"];\ns20 -> s20[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns20 -> s2[label=\"SYN+ACK(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns20 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns20 -> s20[label=\"ACCEPT/TIMEOUT\"];\ns20 -> s17[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns20 -> s20[label=\"LISTEN/TIMEOUT\"];\ns20 -> s2[label=\"SYN(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns20 -> s20[label=\"RCV/TIMEOUT\"];\ns20 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns20 -> s20[label=\"CLOSE/TIMEOUT\"];\ns20 -> s20[label=\"SEND/ACK+PSH(NEXT,CURRENT,1)\"];\ns20 -> s20[label=\"ACK(V,V,0)/TIMEOUT\"];\ns21 [shape=\"circle\" label=\"s21\"];\ns21 -> s21[label=\"CLOSECONNECTION/TIMEOUT\"];\ns21 -> s1[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns21 -> s1[label=\"SYN+ACK(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns21 -> s1[label=\"RST(V,V,0)/TIMEOUT\"];\ns21 -> s30[label=\"ACCEPT/TIMEOUT\"];\ns21 -> s31[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns21 -> s21[label=\"LISTEN/TIMEOUT\"];\ns21 -> s1[label=\"SYN(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns21 -> s21[label=\"RCV/TIMEOUT\"];\ns21 -> s1[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns21 -> s29[label=\"CLOSE/TIMEOUT\"];\ns21 -> s21[label=\"SEND/TIMEOUT\"];\ns21 -> s21[label=\"ACK(V,V,0)/TIMEOUT\"];\ns22 [shape=\"circle\" label=\"s22\"];\ns22 -> s22[label=\"CLOSECONNECTION/TIMEOUT\"];\ns22 -> s12[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns22 -> s22[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns22 -> s12[label=\"RST(V,V,0)/TIMEOUT\"];\ns22 -> s6[label=\"ACCEPT/TIMEOUT\"];\ns22 -> s12[label=\"FIN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns22 -> s22[label=\"LISTEN/TIMEOUT\"];\ns22 -> s16[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns22 -> s22[label=\"RCV/TIMEOUT\"];\ns22 -> s12[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns22 -> s5[label=\"CLOSE/TIMEOUT\"];\ns22 -> s22[label=\"SEND/TIMEOUT\"];\ns22 -> s12[label=\"ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns23 [shape=\"circle\" label=\"s23\"];\ns23 -> s23[label=\"CLOSECONNECTION/TIMEOUT\"];\ns23 -> s23[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns23 -> s32[label=\"SYN+ACK(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns23 -> s32[label=\"RST(V,V,0)/TIMEOUT\"];\ns23 -> s8[label=\"ACCEPT/TIMEOUT\"];\ns23 -> s24[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns23 -> s23[label=\"LISTEN/TIMEOUT\"];\ns23 -> s32[label=\"SYN(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns23 -> s23[label=\"RCV/TIMEOUT\"];\ns23 -> s32[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns23 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns23 -> s23[label=\"SEND/TIMEOUT\"];\ns23 -> s23[label=\"ACK(V,V,0)/TIMEOUT\"];\ns24 [shape=\"circle\" label=\"s24\"];\ns24 -> s24[label=\"CLOSECONNECTION/TIMEOUT\"];\ns24 -> s24[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns24 -> s32[label=\"SYN+ACK(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns24 -> s32[label=\"RST(V,V,0)/TIMEOUT\"];\ns24 -> s7[label=\"ACCEPT/TIMEOUT\"];\ns24 -> s24[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns24 -> s24[label=\"LISTEN/TIMEOUT\"];\ns24 -> s32[label=\"SYN(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns24 -> s24[label=\"RCV/TIMEOUT\"];\ns24 -> s32[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns24 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns24 -> s24[label=\"SEND/TIMEOUT\"];\ns24 -> s24[label=\"ACK(V,V,0)/TIMEOUT\"];\ns25 [shape=\"circle\" label=\"s25\"];\ns25 -> s25[label=\"CLOSECONNECTION/TIMEOUT\"];\ns25 -> s12[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns25 -> s12[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns25 -> s25[label=\"RST(V,V,0)/TIMEOUT\"];\ns25 -> s10[label=\"ACCEPT/TIMEOUT\"];\ns25 -> s12[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns25 -> s25[label=\"LISTEN/TIMEOUT\"];\ns25 -> s25[label=\"SYN(V,V,0)/TIMEOUT\"];\ns25 -> s25[label=\"RCV/TIMEOUT\"];\ns25 -> s25[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns25 -> s2[label=\"CLOSE/TIMEOUT\"];\ns25 -> s25[label=\"SEND/TIMEOUT\"];\ns25 -> s12[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns26 [shape=\"circle\" label=\"s26\"];\ns26 -> s26[label=\"CLOSECONNECTION/TIMEOUT\"];\ns26 -> s2[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns26 -> s2[label=\"SYN+ACK(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns26 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns26 -> s26[label=\"ACCEPT/TIMEOUT\"];\ns26 -> s5[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns26 -> s26[label=\"LISTEN/TIMEOUT\"];\ns26 -> s2[label=\"SYN(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns26 -> s26[label=\"RCV/TIMEOUT\"];\ns26 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns26 -> s26[label=\"CLOSE/TIMEOUT\"];\ns26 -> s26[label=\"SEND/TIMEOUT\"];\ns26 -> s5[label=\"ACK(V,V,0)/TIMEOUT\"];\ns27 [shape=\"circle\" label=\"s27\"];\ns27 -> s18[label=\"CLOSECONNECTION/TIMEOUT\"];\ns27 -> s4[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns27 -> s4[label=\"SYN+ACK(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns27 -> s4[label=\"RST(V,V,0)/TIMEOUT\"];\ns27 -> s27[label=\"ACCEPT/TIMEOUT\"];\ns27 -> s11[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns27 -> s27[label=\"LISTEN/TIMEOUT\"];\ns27 -> s4[label=\"SYN(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns27 -> s27[label=\"RCV/TIMEOUT\"];\ns27 -> s4[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns27 -> s26[label=\"CLOSE/TIMEOUT\"];\ns27 -> s27[label=\"SEND/TIMEOUT\"];\ns27 -> s11[label=\"ACK(V,V,0)/TIMEOUT\"];\ns28 [shape=\"circle\" label=\"s28\"];\ns28 -> s3[label=\"CLOSECONNECTION/TIMEOUT\"];\ns28 -> s34[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns28 -> s36[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns28 -> s19[label=\"RST(V,V,0)/TIMEOUT\"];\ns28 -> s28[label=\"ACCEPT/TIMEOUT\"];\ns28 -> s33[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns28 -> s28[label=\"LISTEN/TIMEOUT\"];\ns28 -> s28[label=\"SYN(V,V,0)/TIMEOUT\"];\ns28 -> s28[label=\"RCV/TIMEOUT\"];\ns28 -> s35[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns28 -> s5[label=\"CLOSE/TIMEOUT\"];\ns28 -> s28[label=\"SEND/TIMEOUT\"];\ns28 -> s34[label=\"ACK(V,V,0)/TIMEOUT\"];\ns29 [shape=\"circle\" label=\"s29\"];\ns29 -> s29[label=\"CLOSECONNECTION/TIMEOUT\"];\ns29 -> s2[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns29 -> s2[label=\"SYN+ACK(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns29 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns29 -> s29[label=\"ACCEPT/TIMEOUT\"];\ns29 -> s37[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns29 -> s29[label=\"LISTEN/TIMEOUT\"];\ns29 -> s2[label=\"SYN(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns29 -> s29[label=\"RCV/TIMEOUT\"];\ns29 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns29 -> s29[label=\"CLOSE/TIMEOUT\"];\ns29 -> s29[label=\"SEND/TIMEOUT\"];\ns29 -> s29[label=\"ACK(V,V,0)/TIMEOUT\"];\ns30 [shape=\"circle\" label=\"s30\"];\ns30 -> s21[label=\"CLOSECONNECTION/TIMEOUT\"];\ns30 -> s4[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns30 -> s4[label=\"SYN+ACK(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns30 -> s4[label=\"RST(V,V,0)/TIMEOUT\"];\ns30 -> s30[label=\"ACCEPT/TIMEOUT\"];\ns30 -> s38[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns30 -> s30[label=\"LISTEN/TIMEOUT\"];\ns30 -> s4[label=\"SYN(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns30 -> s30[label=\"RCV/TIMEOUT\"];\ns30 -> s4[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns30 -> s29[label=\"CLOSE/TIMEOUT\"];\ns30 -> s30[label=\"SEND/TIMEOUT\"];\ns30 -> s30[label=\"ACK(V,V,0)/TIMEOUT\"];\ns31 [shape=\"circle\" label=\"s31\"];\ns31 -> s31[label=\"CLOSECONNECTION/TIMEOUT\"];\ns31 -> s31[label=\"ACK+PSH(V,V,1)/ACK(NEXT,CURRENT,0)\"];\ns31 -> s31[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns31 -> s39[label=\"RST(V,V,0)/TIMEOUT\"];\ns31 -> s38[label=\"ACCEPT/TIMEOUT\"];\ns31 -> s31[label=\"FIN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns31 -> s31[label=\"LISTEN/TIMEOUT\"];\ns31 -> s31[label=\"SYN(V,V,0)/TIMEOUT\"];\ns31 -> s31[label=\"RCV/TIMEOUT\"];\ns31 -> s39[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns31 -> s37[label=\"CLOSE/TIMEOUT\"];\ns31 -> s31[label=\"SEND/TIMEOUT\"];\ns31 -> s31[label=\"ACK(V,V,0)/TIMEOUT\"];\ns32 [shape=\"circle\" label=\"s32\"];\ns32 -> s32[label=\"CLOSECONNECTION/TIMEOUT\"];\ns32 -> s32[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns32 -> s32[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns32 -> s32[label=\"RST(V,V,0)/TIMEOUT\"];\ns32 -> s12[label=\"ACCEPT/TIMEOUT\"];\ns32 -> s32[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns32 -> s32[label=\"LISTEN/TIMEOUT\"];\ns32 -> s40[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns32 -> s32[label=\"RCV/TIMEOUT\"];\ns32 -> s32[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns32 -> s2[label=\"CLOSE/TIMEOUT\"];\ns32 -> s32[label=\"SEND/TIMEOUT\"];\ns32 -> s32[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns33 [shape=\"circle\" label=\"s33\"];\ns33 -> s7[label=\"CLOSECONNECTION/TIMEOUT\"];\ns33 -> s33[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns33 -> s41[label=\"SYN+ACK(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns33 -> s41[label=\"RST(V,V,0)/TIMEOUT\"];\ns33 -> s33[label=\"ACCEPT/TIMEOUT\"];\ns33 -> s33[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns33 -> s33[label=\"LISTEN/TIMEOUT\"];\ns33 -> s41[label=\"SYN(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns33 -> s33[label=\"RCV/TIMEOUT\"];\ns33 -> s41[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns33 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns33 -> s33[label=\"SEND/TIMEOUT\"];\ns33 -> s33[label=\"ACK(V,V,0)/TIMEOUT\"];\ns34 [shape=\"circle\" label=\"s34\"];\ns34 -> s8[label=\"CLOSECONNECTION/TIMEOUT\"];\ns34 -> s34[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns34 -> s41[label=\"SYN+ACK(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns34 -> s41[label=\"RST(V,V,0)/TIMEOUT\"];\ns34 -> s34[label=\"ACCEPT/TIMEOUT\"];\ns34 -> s33[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns34 -> s34[label=\"LISTEN/TIMEOUT\"];\ns34 -> s41[label=\"SYN(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns34 -> s34[label=\"RCV/TIMEOUT\"];\ns34 -> s41[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns34 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns34 -> s34[label=\"SEND/TIMEOUT\"];\ns34 -> s34[label=\"ACK(V,V,0)/TIMEOUT\"];\ns35 [shape=\"circle\" label=\"s35\"];\ns35 -> s10[label=\"CLOSECONNECTION/TIMEOUT\"];\ns35 -> s19[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns35 -> s19[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns35 -> s35[label=\"RST(V,V,0)/TIMEOUT\"];\ns35 -> s35[label=\"ACCEPT/TIMEOUT\"];\ns35 -> s19[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns35 -> s35[label=\"LISTEN/TIMEOUT\"];\ns35 -> s35[label=\"SYN(V,V,0)/TIMEOUT\"];\ns35 -> s35[label=\"RCV/TIMEOUT\"];\ns35 -> s35[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns35 -> s2[label=\"CLOSE/TIMEOUT\"];\ns35 -> s35[label=\"SEND/TIMEOUT\"];\ns35 -> s19[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns36 [shape=\"circle\" label=\"s36\"];\ns36 -> s6[label=\"CLOSECONNECTION/TIMEOUT\"];\ns36 -> s19[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns36 -> s36[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns36 -> s19[label=\"RST(V,V,0)/TIMEOUT\"];\ns36 -> s36[label=\"ACCEPT/TIMEOUT\"];\ns36 -> s19[label=\"FIN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns36 -> s36[label=\"LISTEN/TIMEOUT\"];\ns36 -> s28[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns36 -> s36[label=\"RCV/TIMEOUT\"];\ns36 -> s19[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns36 -> s5[label=\"CLOSE/TIMEOUT\"];\ns36 -> s36[label=\"SEND/TIMEOUT\"];\ns36 -> s19[label=\"ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns37 [shape=\"circle\" label=\"s37\"];\ns37 -> s37[label=\"CLOSECONNECTION/TIMEOUT\"];\ns37 -> s37[label=\"ACK+PSH(V,V,1)/ACK(NEXT,CURRENT,0)\"];\ns37 -> s37[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns37 -> s42[label=\"RST(V,V,0)/TIMEOUT\"];\ns37 -> s37[label=\"ACCEPT/TIMEOUT\"];\ns37 -> s37[label=\"FIN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns37 -> s37[label=\"LISTEN/TIMEOUT\"];\ns37 -> s37[label=\"SYN(V,V,0)/TIMEOUT\"];\ns37 -> s37[label=\"RCV/TIMEOUT\"];\ns37 -> s42[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns37 -> s37[label=\"CLOSE/TIMEOUT\"];\ns37 -> s37[label=\"SEND/TIMEOUT\"];\ns37 -> s37[label=\"ACK(V,V,0)/TIMEOUT\"];\ns38 [shape=\"circle\" label=\"s38\"];\ns38 -> s31[label=\"CLOSECONNECTION/TIMEOUT\"];\ns38 -> s38[label=\"ACK+PSH(V,V,1)/ACK(NEXT,CURRENT,0)\"];\ns38 -> s38[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns38 -> s43[label=\"RST(V,V,0)/TIMEOUT\"];\ns38 -> s38[label=\"ACCEPT/TIMEOUT\"];\ns38 -> s38[label=\"FIN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns38 -> s38[label=\"LISTEN/TIMEOUT\"];\ns38 -> s38[label=\"SYN(V,V,0)/TIMEOUT\"];\ns38 -> s38[label=\"RCV/TIMEOUT\"];\ns38 -> s43[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns38 -> s37[label=\"CLOSE/TIMEOUT\"];\ns38 -> s38[label=\"SEND/TIMEOUT\"];\ns38 -> s38[label=\"ACK(V,V,0)/TIMEOUT\"];\ns39 [shape=\"circle\" label=\"s39\"];\ns39 -> s39[label=\"CLOSECONNECTION/TIMEOUT\"];\ns39 -> s39[label=\"ACK+PSH(V,V,1)/ACK(FRESH,FRESH,0)\"];\ns39 -> s39[label=\"SYN+ACK(V,V,0)/ACK(FRESH,FRESH,0)\"];\ns39 -> s39[label=\"RST(V,V,0)/TIMEOUT\"];\ns39 -> s43[label=\"ACCEPT/TIMEOUT\"];\ns39 -> s39[label=\"FIN+ACK(V,V,0)/ACK(FRESH,FRESH,0)\"];\ns39 -> s39[label=\"LISTEN/TIMEOUT\"];\ns39 -> s3[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns39 -> s39[label=\"RCV/TIMEOUT\"];\ns39 -> s39[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns39 -> s42[label=\"CLOSE/TIMEOUT\"];\ns39 -> s39[label=\"SEND/TIMEOUT\"];\ns39 -> s39[label=\"ACK(V,V,0)/ACK(FRESH,FRESH,0)\"];\ns40 [shape=\"circle\" label=\"s40\"];\ns40 -> s40[label=\"CLOSECONNECTION/TIMEOUT\"];\ns40 -> s32[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns40 -> s44[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns40 -> s32[label=\"RST(V,V,0)/TIMEOUT\"];\ns40 -> s16[label=\"ACCEPT/TIMEOUT\"];\ns40 -> s32[label=\"FIN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns40 -> s40[label=\"LISTEN/TIMEOUT\"];\ns40 -> s40[label=\"SYN(V,V,0)/TIMEOUT\"];\ns40 -> s40[label=\"RCV/TIMEOUT\"];\ns40 -> s45[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns40 -> s5[label=\"CLOSE/TIMEOUT\"];\ns40 -> s40[label=\"SEND/TIMEOUT\"];\ns40 -> s32[label=\"ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns41 [shape=\"circle\" label=\"s41\"];\ns41 -> s12[label=\"CLOSECONNECTION/TIMEOUT\"];\ns41 -> s41[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns41 -> s41[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns41 -> s41[label=\"RST(V,V,0)/TIMEOUT\"];\ns41 -> s41[label=\"ACCEPT/TIMEOUT\"];\ns41 -> s41[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns41 -> s41[label=\"LISTEN/TIMEOUT\"];\ns41 -> s46[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns41 -> s41[label=\"RCV/TIMEOUT\"];\ns41 -> s41[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns41 -> s2[label=\"CLOSE/TIMEOUT\"];\ns41 -> s41[label=\"SEND/TIMEOUT\"];\ns41 -> s41[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns42 [shape=\"circle\" label=\"s42\"];\ns42 -> s42[label=\"CLOSECONNECTION/TIMEOUT\"];\ns42 -> s42[label=\"ACK+PSH(V,V,1)/ACK(FRESH,FRESH,0)\"];\ns42 -> s42[label=\"SYN+ACK(V,V,0)/ACK(FRESH,FRESH,0)\"];\ns42 -> s42[label=\"RST(V,V,0)/TIMEOUT\"];\ns42 -> s42[label=\"ACCEPT/TIMEOUT\"];\ns42 -> s42[label=\"FIN+ACK(V,V,0)/ACK(FRESH,FRESH,0)\"];\ns42 -> s42[label=\"LISTEN/TIMEOUT\"];\ns42 -> s2[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns42 -> s42[label=\"RCV/TIMEOUT\"];\ns42 -> s42[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns42 -> s42[label=\"CLOSE/TIMEOUT\"];\ns42 -> s42[label=\"SEND/TIMEOUT\"];\ns42 -> s42[label=\"ACK(V,V,0)/ACK(FRESH,FRESH,0)\"];\ns43 [shape=\"circle\" label=\"s43\"];\ns43 -> s39[label=\"CLOSECONNECTION/TIMEOUT\"];\ns43 -> s43[label=\"ACK+PSH(V,V,1)/ACK(FRESH,FRESH,0)\"];\ns43 -> s43[label=\"SYN+ACK(V,V,0)/ACK(FRESH,FRESH,0)\"];\ns43 -> s43[label=\"RST(V,V,0)/TIMEOUT\"];\ns43 -> s43[label=\"ACCEPT/TIMEOUT\"];\ns43 -> s43[label=\"FIN+ACK(V,V,0)/ACK(FRESH,FRESH,0)\"];\ns43 -> s43[label=\"LISTEN/TIMEOUT\"];\ns43 -> s9[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns43 -> s43[label=\"RCV/TIMEOUT\"];\ns43 -> s43[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns43 -> s42[label=\"CLOSE/TIMEOUT\"];\ns43 -> s43[label=\"SEND/TIMEOUT\"];\ns43 -> s43[label=\"ACK(V,V,0)/ACK(FRESH,FRESH,0)\"];\ns44 [shape=\"circle\" label=\"s44\"];\ns44 -> s44[label=\"CLOSECONNECTION/TIMEOUT\"];\ns44 -> s32[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns44 -> s44[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns44 -> s32[label=\"RST(V,V,0)/TIMEOUT\"];\ns44 -> s22[label=\"ACCEPT/TIMEOUT\"];\ns44 -> s32[label=\"FIN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns44 -> s44[label=\"LISTEN/TIMEOUT\"];\ns44 -> s40[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns44 -> s44[label=\"RCV/TIMEOUT\"];\ns44 -> s32[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns44 -> s5[label=\"CLOSE/TIMEOUT\"];\ns44 -> s44[label=\"SEND/TIMEOUT\"];\ns44 -> s32[label=\"ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns45 [shape=\"circle\" label=\"s45\"];\ns45 -> s45[label=\"CLOSECONNECTION/TIMEOUT\"];\ns45 -> s32[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns45 -> s32[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns45 -> s45[label=\"RST(V,V,0)/TIMEOUT\"];\ns45 -> s25[label=\"ACCEPT/TIMEOUT\"];\ns45 -> s32[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns45 -> s45[label=\"LISTEN/TIMEOUT\"];\ns45 -> s45[label=\"SYN(V,V,0)/TIMEOUT\"];\ns45 -> s45[label=\"RCV/TIMEOUT\"];\ns45 -> s45[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns45 -> s2[label=\"CLOSE/TIMEOUT\"];\ns45 -> s45[label=\"SEND/TIMEOUT\"];\ns45 -> s32[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns46 [shape=\"circle\" label=\"s46\"];\ns46 -> s16[label=\"CLOSECONNECTION/TIMEOUT\"];\ns46 -> s48[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns46 -> s49[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns46 -> s41[label=\"RST(V,V,0)/TIMEOUT\"];\ns46 -> s46[label=\"ACCEPT/TIMEOUT\"];\ns46 -> s50[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns46 -> s46[label=\"LISTEN/TIMEOUT\"];\ns46 -> s46[label=\"SYN(V,V,0)/TIMEOUT\"];\ns46 -> s46[label=\"RCV/TIMEOUT\"];\ns46 -> s47[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns46 -> s5[label=\"CLOSE/TIMEOUT\"];\ns46 -> s46[label=\"SEND/TIMEOUT\"];\ns46 -> s48[label=\"ACK(V,V,0)/TIMEOUT\"];\ns47 [shape=\"circle\" label=\"s47\"];\ns47 -> s25[label=\"CLOSECONNECTION/TIMEOUT\"];\ns47 -> s41[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns47 -> s41[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns47 -> s47[label=\"RST(V,V,0)/TIMEOUT\"];\ns47 -> s47[label=\"ACCEPT/TIMEOUT\"];\ns47 -> s41[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns47 -> s47[label=\"LISTEN/TIMEOUT\"];\ns47 -> s47[label=\"SYN(V,V,0)/TIMEOUT\"];\ns47 -> s47[label=\"RCV/TIMEOUT\"];\ns47 -> s47[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns47 -> s2[label=\"CLOSE/TIMEOUT\"];\ns47 -> s47[label=\"SEND/TIMEOUT\"];\ns47 -> s41[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns48 [shape=\"circle\" label=\"s48\"];\ns48 -> s23[label=\"CLOSECONNECTION/TIMEOUT\"];\ns48 -> s48[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns48 -> s51[label=\"SYN+ACK(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns48 -> s51[label=\"RST(V,V,0)/TIMEOUT\"];\ns48 -> s48[label=\"ACCEPT/TIMEOUT\"];\ns48 -> s50[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns48 -> s48[label=\"LISTEN/TIMEOUT\"];\ns48 -> s51[label=\"SYN(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns48 -> s48[label=\"RCV/TIMEOUT\"];\ns48 -> s51[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns48 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns48 -> s48[label=\"SEND/TIMEOUT\"];\ns48 -> s48[label=\"ACK(V,V,0)/TIMEOUT\"];\ns49 [shape=\"circle\" label=\"s49\"];\ns49 -> s22[label=\"CLOSECONNECTION/TIMEOUT\"];\ns49 -> s41[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns49 -> s49[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns49 -> s41[label=\"RST(V,V,0)/TIMEOUT\"];\ns49 -> s49[label=\"ACCEPT/TIMEOUT\"];\ns49 -> s41[label=\"FIN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns49 -> s49[label=\"LISTEN/TIMEOUT\"];\ns49 -> s46[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns49 -> s49[label=\"RCV/TIMEOUT\"];\ns49 -> s41[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns49 -> s5[label=\"CLOSE/TIMEOUT\"];\ns49 -> s49[label=\"SEND/TIMEOUT\"];\ns49 -> s41[label=\"ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns50 [shape=\"circle\" label=\"s50\"];\ns50 -> s24[label=\"CLOSECONNECTION/TIMEOUT\"];\ns50 -> s50[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns50 -> s51[label=\"SYN+ACK(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns50 -> s51[label=\"RST(V,V,0)/TIMEOUT\"];\ns50 -> s50[label=\"ACCEPT/TIMEOUT\"];\ns50 -> s50[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns50 -> s50[label=\"LISTEN/TIMEOUT\"];\ns50 -> s51[label=\"SYN(V,V,0)/ACK+RST(NEXT,CURRENT,0)\"];\ns50 -> s50[label=\"RCV/TIMEOUT\"];\ns50 -> s51[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns50 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns50 -> s50[label=\"SEND/TIMEOUT\"];\ns50 -> s50[label=\"ACK(V,V,0)/TIMEOUT\"];\ns51 [shape=\"circle\" label=\"s51\"];\ns51 -> s32[label=\"CLOSECONNECTION/TIMEOUT\"];\ns51 -> s51[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns51 -> s51[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns51 -> s51[label=\"RST(V,V,0)/TIMEOUT\"];\ns51 -> s51[label=\"ACCEPT/TIMEOUT\"];\ns51 -> s51[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns51 -> s51[label=\"LISTEN/TIMEOUT\"];\ns51 -> s52[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns51 -> s51[label=\"RCV/TIMEOUT\"];\ns51 -> s51[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns51 -> s2[label=\"CLOSE/TIMEOUT\"];\ns51 -> s51[label=\"SEND/TIMEOUT\"];\ns51 -> s51[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns52 [shape=\"circle\" label=\"s52\"];\ns52 -> s40[label=\"CLOSECONNECTION/TIMEOUT\"];\ns52 -> s51[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns52 -> s53[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns52 -> s51[label=\"RST(V,V,0)/TIMEOUT\"];\ns52 -> s52[label=\"ACCEPT/TIMEOUT\"];\ns52 -> s51[label=\"FIN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns52 -> s52[label=\"LISTEN/TIMEOUT\"];\ns52 -> s52[label=\"SYN(V,V,0)/TIMEOUT\"];\ns52 -> s52[label=\"RCV/TIMEOUT\"];\ns52 -> s54[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns52 -> s5[label=\"CLOSE/TIMEOUT\"];\ns52 -> s52[label=\"SEND/TIMEOUT\"];\ns52 -> s51[label=\"ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns53 [shape=\"circle\" label=\"s53\"];\ns53 -> s44[label=\"CLOSECONNECTION/TIMEOUT\"];\ns53 -> s51[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns53 -> s53[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns53 -> s51[label=\"RST(V,V,0)/TIMEOUT\"];\ns53 -> s53[label=\"ACCEPT/TIMEOUT\"];\ns53 -> s51[label=\"FIN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns53 -> s53[label=\"LISTEN/TIMEOUT\"];\ns53 -> s52[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns53 -> s53[label=\"RCV/TIMEOUT\"];\ns53 -> s51[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns53 -> s5[label=\"CLOSE/TIMEOUT\"];\ns53 -> s53[label=\"SEND/TIMEOUT\"];\ns53 -> s51[label=\"ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns54 [shape=\"circle\" label=\"s54\"];\ns54 -> s45[label=\"CLOSECONNECTION/TIMEOUT\"];\ns54 -> s51[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns54 -> s51[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns54 -> s54[label=\"RST(V,V,0)/TIMEOUT\"];\ns54 -> s54[label=\"ACCEPT/TIMEOUT\"];\ns54 -> s51[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns54 -> s54[label=\"LISTEN/TIMEOUT\"];\ns54 -> s54[label=\"SYN(V,V,0)/TIMEOUT\"];\ns54 -> s54[label=\"RCV/TIMEOUT\"];\ns54 -> s54[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns54 -> s2[label=\"CLOSE/TIMEOUT\"];\ns54 -> s54[label=\"SEND/TIMEOUT\"];\ns54 -> s51[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\n__start0 -> s0;\n}\n"
  },
  {
    "path": "DotModels/TCP/tcp_server_ubuntu_trans.dot",
    "content": "digraph G {\n__start0 [label=\"\" shape=\"none\"];\ns0 [shape=\"circle\" label=\"s0\"];\ns0 -> s0[label=\"CLOSECONNECTION/TIMEOUT\"];\ns0 -> s0[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns0 -> s0[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns0 -> s0[label=\"RST(V,V,0)/TIMEOUT\"];\ns0 -> s0[label=\"ACCEPT/TIMEOUT\"];\ns0 -> s0[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns0 -> s1[label=\"LISTEN/TIMEOUT\"];\ns0 -> s0[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns0 -> s0[label=\"RCV/TIMEOUT\"];\ns0 -> s0[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns0 -> s2[label=\"CLOSE/TIMEOUT\"];\ns0 -> s0[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns1 [shape=\"circle\" label=\"s1\"];\ns1 -> s1[label=\"CLOSECONNECTION/TIMEOUT\"];\ns1 -> s1[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns1 -> s1[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns1 -> s1[label=\"RST(V,V,0)/TIMEOUT\"];\ns1 -> s4[label=\"ACCEPT/TIMEOUT\"];\ns1 -> s1[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns1 -> s1[label=\"LISTEN/TIMEOUT\"];\ns1 -> s3[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns1 -> s1[label=\"RCV/TIMEOUT\"];\ns1 -> s1[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns1 -> s2[label=\"CLOSE/TIMEOUT\"];\ns1 -> s1[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns2 [shape=\"circle\" label=\"s2\"];\ns2 -> s2[label=\"CLOSECONNECTION/TIMEOUT\"];\ns2 -> s2[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns2 -> s2[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns2 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns2 -> s2[label=\"ACCEPT/TIMEOUT\"];\ns2 -> s2[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns2 -> s2[label=\"LISTEN/TIMEOUT\"];\ns2 -> s2[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns2 -> s2[label=\"RCV/TIMEOUT\"];\ns2 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns2 -> s2[label=\"CLOSE/TIMEOUT\"];\ns2 -> s2[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns3 [shape=\"circle\" label=\"s3\"];\ns3 -> s3[label=\"CLOSECONNECTION/TIMEOUT\"];\ns3 -> s5[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns3 -> s1[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns3 -> s1[label=\"RST(V,V,0)/TIMEOUT\"];\ns3 -> s9[label=\"ACCEPT/TIMEOUT\"];\ns3 -> s7[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns3 -> s3[label=\"LISTEN/TIMEOUT\"];\ns3 -> s1[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns3 -> s3[label=\"RCV/TIMEOUT\"];\ns3 -> s1[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns3 -> s8[label=\"CLOSE/TIMEOUT\"];\ns3 -> s6[label=\"ACK(V,V,0)/TIMEOUT\"];\ns4 [shape=\"circle\" label=\"s4\"];\ns4 -> s1[label=\"CLOSECONNECTION/TIMEOUT\"];\ns4 -> s4[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns4 -> s4[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns4 -> s4[label=\"RST(V,V,0)/TIMEOUT\"];\ns4 -> s4[label=\"ACCEPT/TIMEOUT\"];\ns4 -> s4[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns4 -> s4[label=\"LISTEN/TIMEOUT\"];\ns4 -> s9[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns4 -> s4[label=\"RCV/TIMEOUT\"];\ns4 -> s4[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns4 -> s2[label=\"CLOSE/TIMEOUT\"];\ns4 -> s4[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns5 [shape=\"circle\" label=\"s5\"];\ns5 -> s5[label=\"CLOSECONNECTION/TIMEOUT\"];\ns5 -> s5[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns5 -> s5[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns5 -> s12[label=\"RST(V,V,0)/TIMEOUT\"];\ns5 -> s11[label=\"ACCEPT/TIMEOUT\"];\ns5 -> s10[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns5 -> s5[label=\"LISTEN/TIMEOUT\"];\ns5 -> s5[label=\"SYN(V,V,0)/TIMEOUT\"];\ns5 -> s5[label=\"RCV/TIMEOUT\"];\ns5 -> s12[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns5 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns5 -> s5[label=\"ACK(V,V,0)/TIMEOUT\"];\ns6 [shape=\"circle\" label=\"s6\"];\ns6 -> s6[label=\"CLOSECONNECTION/TIMEOUT\"];\ns6 -> s5[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns6 -> s6[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns6 -> s12[label=\"RST(V,V,0)/TIMEOUT\"];\ns6 -> s13[label=\"ACCEPT/TIMEOUT\"];\ns6 -> s7[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns6 -> s6[label=\"LISTEN/TIMEOUT\"];\ns6 -> s6[label=\"SYN(V,V,0)/TIMEOUT\"];\ns6 -> s6[label=\"RCV/TIMEOUT\"];\ns6 -> s12[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns6 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns6 -> s6[label=\"ACK(V,V,0)/TIMEOUT\"];\ns7 [shape=\"circle\" label=\"s7\"];\ns7 -> s7[label=\"CLOSECONNECTION/TIMEOUT\"];\ns7 -> s7[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns7 -> s7[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns7 -> s12[label=\"RST(V,V,0)/TIMEOUT\"];\ns7 -> s14[label=\"ACCEPT/TIMEOUT\"];\ns7 -> s7[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns7 -> s7[label=\"LISTEN/TIMEOUT\"];\ns7 -> s7[label=\"SYN(V,V,0)/TIMEOUT\"];\ns7 -> s7[label=\"RCV/TIMEOUT\"];\ns7 -> s12[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns7 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns7 -> s7[label=\"ACK(V,V,0)/TIMEOUT\"];\ns8 [shape=\"circle\" label=\"s8\"];\ns8 -> s8[label=\"CLOSECONNECTION/TIMEOUT\"];\ns8 -> s2[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns8 -> s2[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns8 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns8 -> s8[label=\"ACCEPT/TIMEOUT\"];\ns8 -> s2[label=\"FIN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns8 -> s8[label=\"LISTEN/TIMEOUT\"];\ns8 -> s2[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns8 -> s8[label=\"RCV/TIMEOUT\"];\ns8 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns8 -> s8[label=\"CLOSE/TIMEOUT\"];\ns8 -> s2[label=\"ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns9 [shape=\"circle\" label=\"s9\"];\ns9 -> s3[label=\"CLOSECONNECTION/TIMEOUT\"];\ns9 -> s11[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns9 -> s4[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns9 -> s4[label=\"RST(V,V,0)/TIMEOUT\"];\ns9 -> s9[label=\"ACCEPT/TIMEOUT\"];\ns9 -> s14[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns9 -> s9[label=\"LISTEN/TIMEOUT\"];\ns9 -> s4[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns9 -> s9[label=\"RCV/TIMEOUT\"];\ns9 -> s4[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns9 -> s8[label=\"CLOSE/TIMEOUT\"];\ns9 -> s13[label=\"ACK(V,V,0)/TIMEOUT\"];\ns10 [shape=\"circle\" label=\"s10\"];\ns10 -> s10[label=\"CLOSECONNECTION/TIMEOUT\"];\ns10 -> s10[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns10 -> s10[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns10 -> s12[label=\"RST(V,V,0)/TIMEOUT\"];\ns10 -> s15[label=\"ACCEPT/TIMEOUT\"];\ns10 -> s10[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns10 -> s10[label=\"LISTEN/TIMEOUT\"];\ns10 -> s10[label=\"SYN(V,V,0)/TIMEOUT\"];\ns10 -> s10[label=\"RCV/TIMEOUT\"];\ns10 -> s12[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns10 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns10 -> s10[label=\"ACK(V,V,0)/TIMEOUT\"];\ns11 [shape=\"circle\" label=\"s11\"];\ns11 -> s1[label=\"CLOSECONNECTION/ACK+RST(NEXT,CURRENT,0)\"];\ns11 -> s11[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns11 -> s11[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns11 -> s17[label=\"RST(V,V,0)/TIMEOUT\"];\ns11 -> s11[label=\"ACCEPT/TIMEOUT\"];\ns11 -> s15[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns11 -> s11[label=\"LISTEN/TIMEOUT\"];\ns11 -> s11[label=\"SYN(V,V,0)/TIMEOUT\"];\ns11 -> s13[label=\"RCV/TIMEOUT\"];\ns11 -> s17[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns11 -> s16[label=\"CLOSE/TIMEOUT\"];\ns11 -> s11[label=\"ACK(V,V,0)/TIMEOUT\"];\ns12 [shape=\"circle\" label=\"s12\"];\ns12 -> s12[label=\"CLOSECONNECTION/TIMEOUT\"];\ns12 -> s12[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns12 -> s12[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns12 -> s12[label=\"RST(V,V,0)/TIMEOUT\"];\ns12 -> s17[label=\"ACCEPT/TIMEOUT\"];\ns12 -> s12[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns12 -> s12[label=\"LISTEN/TIMEOUT\"];\ns12 -> s18[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns12 -> s12[label=\"RCV/TIMEOUT\"];\ns12 -> s12[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns12 -> s2[label=\"CLOSE/TIMEOUT\"];\ns12 -> s12[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns13 [shape=\"circle\" label=\"s13\"];\ns13 -> s19[label=\"CLOSECONNECTION/ACK+FIN(NEXT,CURRENT,0)\"];\ns13 -> s11[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns13 -> s13[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns13 -> s17[label=\"RST(V,V,0)/TIMEOUT\"];\ns13 -> s13[label=\"ACCEPT/TIMEOUT\"];\ns13 -> s14[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns13 -> s13[label=\"LISTEN/TIMEOUT\"];\ns13 -> s13[label=\"SYN(V,V,0)/TIMEOUT\"];\ns13 -> s20[label=\"RCV/TIMEOUT\"];\ns13 -> s17[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns13 -> s21[label=\"CLOSE/TIMEOUT\"];\ns13 -> s13[label=\"ACK(V,V,0)/TIMEOUT\"];\ns14 [shape=\"circle\" label=\"s14\"];\ns14 -> s23[label=\"CLOSECONNECTION/ACK+FIN(NEXT,CURRENT,0)\"];\ns14 -> s14[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns14 -> s14[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns14 -> s17[label=\"RST(V,V,0)/TIMEOUT\"];\ns14 -> s14[label=\"ACCEPT/TIMEOUT\"];\ns14 -> s14[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns14 -> s14[label=\"LISTEN/TIMEOUT\"];\ns14 -> s14[label=\"SYN(V,V,0)/TIMEOUT\"];\ns14 -> s14[label=\"RCV/TIMEOUT\"];\ns14 -> s17[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns14 -> s22[label=\"CLOSE/TIMEOUT\"];\ns14 -> s14[label=\"ACK(V,V,0)/TIMEOUT\"];\ns15 [shape=\"circle\" label=\"s15\"];\ns15 -> s1[label=\"CLOSECONNECTION/ACK+RST(NEXT,CURRENT,0)\"];\ns15 -> s15[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns15 -> s15[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns15 -> s17[label=\"RST(V,V,0)/TIMEOUT\"];\ns15 -> s15[label=\"ACCEPT/TIMEOUT\"];\ns15 -> s15[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns15 -> s15[label=\"LISTEN/TIMEOUT\"];\ns15 -> s15[label=\"SYN(V,V,0)/TIMEOUT\"];\ns15 -> s14[label=\"RCV/TIMEOUT\"];\ns15 -> s17[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns15 -> s24[label=\"CLOSE/TIMEOUT\"];\ns15 -> s15[label=\"ACK(V,V,0)/TIMEOUT\"];\ns16 [shape=\"circle\" label=\"s16\"];\ns16 -> s2[label=\"CLOSECONNECTION/ACK+RST(NEXT,CURRENT,0)\"];\ns16 -> s16[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns16 -> s16[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns16 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns16 -> s16[label=\"ACCEPT/TIMEOUT\"];\ns16 -> s24[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns16 -> s16[label=\"LISTEN/TIMEOUT\"];\ns16 -> s16[label=\"SYN(V,V,0)/TIMEOUT\"];\ns16 -> s21[label=\"RCV/TIMEOUT\"];\ns16 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns16 -> s16[label=\"CLOSE/TIMEOUT\"];\ns16 -> s16[label=\"ACK(V,V,0)/TIMEOUT\"];\ns17 [shape=\"circle\" label=\"s17\"];\ns17 -> s1[label=\"CLOSECONNECTION/TIMEOUT\"];\ns17 -> s17[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns17 -> s17[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns17 -> s17[label=\"RST(V,V,0)/TIMEOUT\"];\ns17 -> s17[label=\"ACCEPT/TIMEOUT\"];\ns17 -> s17[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns17 -> s17[label=\"LISTEN/TIMEOUT\"];\ns17 -> s25[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns17 -> s17[label=\"RCV/TIMEOUT\"];\ns17 -> s17[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns17 -> s2[label=\"CLOSE/TIMEOUT\"];\ns17 -> s17[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns18 [shape=\"circle\" label=\"s18\"];\ns18 -> s18[label=\"CLOSECONNECTION/TIMEOUT\"];\ns18 -> s28[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns18 -> s12[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns18 -> s12[label=\"RST(V,V,0)/TIMEOUT\"];\ns18 -> s25[label=\"ACCEPT/TIMEOUT\"];\ns18 -> s26[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns18 -> s18[label=\"LISTEN/TIMEOUT\"];\ns18 -> s12[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns18 -> s18[label=\"RCV/TIMEOUT\"];\ns18 -> s12[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns18 -> s8[label=\"CLOSE/TIMEOUT\"];\ns18 -> s27[label=\"ACK(V,V,0)/TIMEOUT\"];\ns19 [shape=\"circle\" label=\"s19\"];\ns19 -> s19[label=\"CLOSECONNECTION/TIMEOUT\"];\ns19 -> s1[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns19 -> s19[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns19 -> s1[label=\"RST(V,V,0)/TIMEOUT\"];\ns19 -> s31[label=\"ACCEPT/TIMEOUT\"];\ns19 -> s32[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns19 -> s19[label=\"LISTEN/TIMEOUT\"];\ns19 -> s19[label=\"SYN(V,V,0)/TIMEOUT\"];\ns19 -> s19[label=\"RCV/TIMEOUT\"];\ns19 -> s1[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns19 -> s29[label=\"CLOSE/TIMEOUT\"];\ns19 -> s30[label=\"ACK(V,V,0)/TIMEOUT\"];\ns20 [shape=\"circle\" label=\"s20\"];\ns20 -> s19[label=\"CLOSECONNECTION/ACK+FIN(NEXT,CURRENT,0)\"];\ns20 -> s13[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns20 -> s20[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns20 -> s17[label=\"RST(V,V,0)/TIMEOUT\"];\ns20 -> s20[label=\"ACCEPT/TIMEOUT\"];\ns20 -> s14[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns20 -> s20[label=\"LISTEN/TIMEOUT\"];\ns20 -> s20[label=\"SYN(V,V,0)/TIMEOUT\"];\ns20 -> s20[label=\"RCV/TIMEOUT\"];\ns20 -> s17[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns20 -> s21[label=\"CLOSE/TIMEOUT\"];\ns20 -> s20[label=\"ACK(V,V,0)/TIMEOUT\"];\ns21 [shape=\"circle\" label=\"s21\"];\ns21 -> s29[label=\"CLOSECONNECTION/ACK+FIN(NEXT,CURRENT,0)\"];\ns21 -> s16[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns21 -> s21[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns21 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns21 -> s21[label=\"ACCEPT/TIMEOUT\"];\ns21 -> s22[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns21 -> s21[label=\"LISTEN/TIMEOUT\"];\ns21 -> s21[label=\"SYN(V,V,0)/TIMEOUT\"];\ns21 -> s33[label=\"RCV/TIMEOUT\"];\ns21 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns21 -> s21[label=\"CLOSE/TIMEOUT\"];\ns21 -> s21[label=\"ACK(V,V,0)/TIMEOUT\"];\ns22 [shape=\"circle\" label=\"s22\"];\ns22 -> s34[label=\"CLOSECONNECTION/ACK+FIN(NEXT,CURRENT,0)\"];\ns22 -> s22[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns22 -> s22[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns22 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns22 -> s22[label=\"ACCEPT/TIMEOUT\"];\ns22 -> s22[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns22 -> s22[label=\"LISTEN/TIMEOUT\"];\ns22 -> s22[label=\"SYN(V,V,0)/TIMEOUT\"];\ns22 -> s22[label=\"RCV/TIMEOUT\"];\ns22 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns22 -> s22[label=\"CLOSE/TIMEOUT\"];\ns22 -> s22[label=\"ACK(V,V,0)/TIMEOUT\"];\ns23 [shape=\"circle\" label=\"s23\"];\ns23 -> s23[label=\"CLOSECONNECTION/TIMEOUT\"];\ns23 -> s35[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns23 -> s23[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns23 -> s1[label=\"RST(V,V,0)/TIMEOUT\"];\ns23 -> s36[label=\"ACCEPT/TIMEOUT\"];\ns23 -> s35[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns23 -> s23[label=\"LISTEN/TIMEOUT\"];\ns23 -> s23[label=\"SYN(V,V,0)/TIMEOUT\"];\ns23 -> s23[label=\"RCV/TIMEOUT\"];\ns23 -> s1[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns23 -> s34[label=\"CLOSE/TIMEOUT\"];\ns23 -> s35[label=\"ACK(V,V,0)/TIMEOUT\"];\ns24 [shape=\"circle\" label=\"s24\"];\ns24 -> s2[label=\"CLOSECONNECTION/ACK+RST(NEXT,CURRENT,0)\"];\ns24 -> s24[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns24 -> s24[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns24 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns24 -> s24[label=\"ACCEPT/TIMEOUT\"];\ns24 -> s24[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns24 -> s24[label=\"LISTEN/TIMEOUT\"];\ns24 -> s24[label=\"SYN(V,V,0)/TIMEOUT\"];\ns24 -> s22[label=\"RCV/TIMEOUT\"];\ns24 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns24 -> s24[label=\"CLOSE/TIMEOUT\"];\ns24 -> s24[label=\"ACK(V,V,0)/TIMEOUT\"];\ns25 [shape=\"circle\" label=\"s25\"];\ns25 -> s3[label=\"CLOSECONNECTION/TIMEOUT\"];\ns25 -> s37[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns25 -> s17[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns25 -> s17[label=\"RST(V,V,0)/TIMEOUT\"];\ns25 -> s25[label=\"ACCEPT/TIMEOUT\"];\ns25 -> s38[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns25 -> s25[label=\"LISTEN/TIMEOUT\"];\ns25 -> s17[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns25 -> s25[label=\"RCV/TIMEOUT\"];\ns25 -> s17[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns25 -> s8[label=\"CLOSE/TIMEOUT\"];\ns25 -> s39[label=\"ACK(V,V,0)/TIMEOUT\"];\ns26 [shape=\"circle\" label=\"s26\"];\ns26 -> s26[label=\"CLOSECONNECTION/TIMEOUT\"];\ns26 -> s26[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns26 -> s26[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns26 -> s40[label=\"RST(V,V,0)/TIMEOUT\"];\ns26 -> s38[label=\"ACCEPT/TIMEOUT\"];\ns26 -> s26[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns26 -> s26[label=\"LISTEN/TIMEOUT\"];\ns26 -> s26[label=\"SYN(V,V,0)/TIMEOUT\"];\ns26 -> s26[label=\"RCV/TIMEOUT\"];\ns26 -> s40[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns26 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns26 -> s26[label=\"ACK(V,V,0)/TIMEOUT\"];\ns27 [shape=\"circle\" label=\"s27\"];\ns27 -> s27[label=\"CLOSECONNECTION/TIMEOUT\"];\ns27 -> s28[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns27 -> s27[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns27 -> s40[label=\"RST(V,V,0)/TIMEOUT\"];\ns27 -> s39[label=\"ACCEPT/TIMEOUT\"];\ns27 -> s26[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns27 -> s27[label=\"LISTEN/TIMEOUT\"];\ns27 -> s27[label=\"SYN(V,V,0)/TIMEOUT\"];\ns27 -> s27[label=\"RCV/TIMEOUT\"];\ns27 -> s40[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns27 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns27 -> s27[label=\"ACK(V,V,0)/TIMEOUT\"];\ns28 [shape=\"circle\" label=\"s28\"];\ns28 -> s28[label=\"CLOSECONNECTION/TIMEOUT\"];\ns28 -> s28[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns28 -> s28[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns28 -> s40[label=\"RST(V,V,0)/TIMEOUT\"];\ns28 -> s37[label=\"ACCEPT/TIMEOUT\"];\ns28 -> s41[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns28 -> s28[label=\"LISTEN/TIMEOUT\"];\ns28 -> s28[label=\"SYN(V,V,0)/TIMEOUT\"];\ns28 -> s28[label=\"RCV/TIMEOUT\"];\ns28 -> s40[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns28 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns28 -> s28[label=\"ACK(V,V,0)/TIMEOUT\"];\ns29 [shape=\"circle\" label=\"s29\"];\ns29 -> s29[label=\"CLOSECONNECTION/TIMEOUT\"];\ns29 -> s2[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns29 -> s29[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns29 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns29 -> s29[label=\"ACCEPT/TIMEOUT\"];\ns29 -> s43[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns29 -> s29[label=\"LISTEN/TIMEOUT\"];\ns29 -> s29[label=\"SYN(V,V,0)/TIMEOUT\"];\ns29 -> s29[label=\"RCV/TIMEOUT\"];\ns29 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns29 -> s29[label=\"CLOSE/TIMEOUT\"];\ns29 -> s42[label=\"ACK(V,V,0)/TIMEOUT\"];\ns30 [shape=\"circle\" label=\"s30\"];\ns30 -> s30[label=\"CLOSECONNECTION/TIMEOUT\"];\ns30 -> s1[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns30 -> s1[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns30 -> s1[label=\"RST(V,V,0)/TIMEOUT\"];\ns30 -> s44[label=\"ACCEPT/TIMEOUT\"];\ns30 -> s32[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns30 -> s30[label=\"LISTEN/TIMEOUT\"];\ns30 -> s1[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns30 -> s30[label=\"RCV/TIMEOUT\"];\ns30 -> s1[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns30 -> s42[label=\"CLOSE/TIMEOUT\"];\ns30 -> s30[label=\"ACK(V,V,0)/TIMEOUT\"];\ns31 [shape=\"circle\" label=\"s31\"];\ns31 -> s19[label=\"CLOSECONNECTION/TIMEOUT\"];\ns31 -> s4[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns31 -> s31[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns31 -> s4[label=\"RST(V,V,0)/TIMEOUT\"];\ns31 -> s31[label=\"ACCEPT/TIMEOUT\"];\ns31 -> s45[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns31 -> s31[label=\"LISTEN/TIMEOUT\"];\ns31 -> s31[label=\"SYN(V,V,0)/TIMEOUT\"];\ns31 -> s31[label=\"RCV/TIMEOUT\"];\ns31 -> s4[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns31 -> s29[label=\"CLOSE/TIMEOUT\"];\ns31 -> s44[label=\"ACK(V,V,0)/TIMEOUT\"];\ns32 [shape=\"circle\" label=\"s32\"];\ns32 -> s32[label=\"CLOSECONNECTION/TIMEOUT\"];\ns32 -> s32[label=\"ACK+PSH(V,V,1)/ACK(NEXT,CURRENT,0)\"];\ns32 -> s32[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns32 -> s1[label=\"RST(V,V,0)/TIMEOUT\"];\ns32 -> s45[label=\"ACCEPT/TIMEOUT\"];\ns32 -> s32[label=\"FIN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns32 -> s32[label=\"LISTEN/TIMEOUT\"];\ns32 -> s32[label=\"SYN(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns32 -> s32[label=\"RCV/TIMEOUT\"];\ns32 -> s1[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns32 -> s43[label=\"CLOSE/TIMEOUT\"];\ns32 -> s32[label=\"ACK(V,V,0)/TIMEOUT\"];\ns33 [shape=\"circle\" label=\"s33\"];\ns33 -> s29[label=\"CLOSECONNECTION/ACK+FIN(NEXT,CURRENT,0)\"];\ns33 -> s21[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns33 -> s33[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns33 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns33 -> s33[label=\"ACCEPT/TIMEOUT\"];\ns33 -> s22[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns33 -> s33[label=\"LISTEN/TIMEOUT\"];\ns33 -> s33[label=\"SYN(V,V,0)/TIMEOUT\"];\ns33 -> s33[label=\"RCV/TIMEOUT\"];\ns33 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns33 -> s21[label=\"CLOSE/TIMEOUT\"];\ns33 -> s33[label=\"ACK(V,V,0)/TIMEOUT\"];\ns34 [shape=\"circle\" label=\"s34\"];\ns34 -> s34[label=\"CLOSECONNECTION/TIMEOUT\"];\ns34 -> s8[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns34 -> s34[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns34 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns34 -> s34[label=\"ACCEPT/TIMEOUT\"];\ns34 -> s8[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns34 -> s34[label=\"LISTEN/TIMEOUT\"];\ns34 -> s34[label=\"SYN(V,V,0)/TIMEOUT\"];\ns34 -> s34[label=\"RCV/TIMEOUT\"];\ns34 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns34 -> s34[label=\"CLOSE/TIMEOUT\"];\ns34 -> s8[label=\"ACK(V,V,0)/TIMEOUT\"];\ns35 [shape=\"circle\" label=\"s35\"];\ns35 -> s35[label=\"CLOSECONNECTION/TIMEOUT\"];\ns35 -> s1[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns35 -> s1[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns35 -> s1[label=\"RST(V,V,0)/TIMEOUT\"];\ns35 -> s46[label=\"ACCEPT/TIMEOUT\"];\ns35 -> s1[label=\"FIN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns35 -> s35[label=\"LISTEN/TIMEOUT\"];\ns35 -> s3[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns35 -> s35[label=\"RCV/TIMEOUT\"];\ns35 -> s1[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns35 -> s8[label=\"CLOSE/TIMEOUT\"];\ns35 -> s1[label=\"ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns36 [shape=\"circle\" label=\"s36\"];\ns36 -> s23[label=\"CLOSECONNECTION/TIMEOUT\"];\ns36 -> s46[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns36 -> s36[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns36 -> s4[label=\"RST(V,V,0)/TIMEOUT\"];\ns36 -> s36[label=\"ACCEPT/TIMEOUT\"];\ns36 -> s46[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns36 -> s36[label=\"LISTEN/TIMEOUT\"];\ns36 -> s36[label=\"SYN(V,V,0)/TIMEOUT\"];\ns36 -> s36[label=\"RCV/TIMEOUT\"];\ns36 -> s4[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns36 -> s34[label=\"CLOSE/TIMEOUT\"];\ns36 -> s46[label=\"ACK(V,V,0)/TIMEOUT\"];\ns37 [shape=\"circle\" label=\"s37\"];\ns37 -> s5[label=\"CLOSECONNECTION/TIMEOUT\"];\ns37 -> s37[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns37 -> s37[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns37 -> s48[label=\"RST(V,V,0)/TIMEOUT\"];\ns37 -> s37[label=\"ACCEPT/TIMEOUT\"];\ns37 -> s47[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns37 -> s37[label=\"LISTEN/TIMEOUT\"];\ns37 -> s37[label=\"SYN(V,V,0)/TIMEOUT\"];\ns37 -> s37[label=\"RCV/TIMEOUT\"];\ns37 -> s48[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns37 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns37 -> s37[label=\"ACK(V,V,0)/TIMEOUT\"];\ns38 [shape=\"circle\" label=\"s38\"];\ns38 -> s7[label=\"CLOSECONNECTION/TIMEOUT\"];\ns38 -> s38[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns38 -> s38[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns38 -> s48[label=\"RST(V,V,0)/TIMEOUT\"];\ns38 -> s38[label=\"ACCEPT/TIMEOUT\"];\ns38 -> s38[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns38 -> s38[label=\"LISTEN/TIMEOUT\"];\ns38 -> s38[label=\"SYN(V,V,0)/TIMEOUT\"];\ns38 -> s38[label=\"RCV/TIMEOUT\"];\ns38 -> s48[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns38 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns38 -> s38[label=\"ACK(V,V,0)/TIMEOUT\"];\ns39 [shape=\"circle\" label=\"s39\"];\ns39 -> s6[label=\"CLOSECONNECTION/TIMEOUT\"];\ns39 -> s37[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns39 -> s39[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns39 -> s48[label=\"RST(V,V,0)/TIMEOUT\"];\ns39 -> s39[label=\"ACCEPT/TIMEOUT\"];\ns39 -> s38[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns39 -> s39[label=\"LISTEN/TIMEOUT\"];\ns39 -> s39[label=\"SYN(V,V,0)/TIMEOUT\"];\ns39 -> s39[label=\"RCV/TIMEOUT\"];\ns39 -> s48[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns39 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns39 -> s39[label=\"ACK(V,V,0)/TIMEOUT\"];\ns40 [shape=\"circle\" label=\"s40\"];\ns40 -> s40[label=\"CLOSECONNECTION/TIMEOUT\"];\ns40 -> s40[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns40 -> s40[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns40 -> s40[label=\"RST(V,V,0)/TIMEOUT\"];\ns40 -> s48[label=\"ACCEPT/TIMEOUT\"];\ns40 -> s40[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns40 -> s40[label=\"LISTEN/TIMEOUT\"];\ns40 -> s49[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns40 -> s40[label=\"RCV/TIMEOUT\"];\ns40 -> s40[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns40 -> s2[label=\"CLOSE/TIMEOUT\"];\ns40 -> s40[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns41 [shape=\"circle\" label=\"s41\"];\ns41 -> s41[label=\"CLOSECONNECTION/TIMEOUT\"];\ns41 -> s41[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns41 -> s41[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns41 -> s40[label=\"RST(V,V,0)/TIMEOUT\"];\ns41 -> s47[label=\"ACCEPT/TIMEOUT\"];\ns41 -> s41[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns41 -> s41[label=\"LISTEN/TIMEOUT\"];\ns41 -> s41[label=\"SYN(V,V,0)/TIMEOUT\"];\ns41 -> s41[label=\"RCV/TIMEOUT\"];\ns41 -> s40[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns41 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns41 -> s41[label=\"ACK(V,V,0)/TIMEOUT\"];\ns42 [shape=\"circle\" label=\"s42\"];\ns42 -> s42[label=\"CLOSECONNECTION/TIMEOUT\"];\ns42 -> s2[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns42 -> s2[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns42 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns42 -> s42[label=\"ACCEPT/TIMEOUT\"];\ns42 -> s43[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns42 -> s42[label=\"LISTEN/TIMEOUT\"];\ns42 -> s2[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns42 -> s42[label=\"RCV/TIMEOUT\"];\ns42 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns42 -> s42[label=\"CLOSE/TIMEOUT\"];\ns42 -> s42[label=\"ACK(V,V,0)/TIMEOUT\"];\ns43 [shape=\"circle\" label=\"s43\"];\ns43 -> s43[label=\"CLOSECONNECTION/TIMEOUT\"];\ns43 -> s43[label=\"ACK+PSH(V,V,1)/ACK(NEXT,CURRENT,0)\"];\ns43 -> s43[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns43 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns43 -> s43[label=\"ACCEPT/TIMEOUT\"];\ns43 -> s43[label=\"FIN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns43 -> s43[label=\"LISTEN/TIMEOUT\"];\ns43 -> s43[label=\"SYN(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns43 -> s43[label=\"RCV/TIMEOUT\"];\ns43 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns43 -> s43[label=\"CLOSE/TIMEOUT\"];\ns43 -> s43[label=\"ACK(V,V,0)/TIMEOUT\"];\ns44 [shape=\"circle\" label=\"s44\"];\ns44 -> s30[label=\"CLOSECONNECTION/TIMEOUT\"];\ns44 -> s4[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns44 -> s4[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns44 -> s4[label=\"RST(V,V,0)/TIMEOUT\"];\ns44 -> s44[label=\"ACCEPT/TIMEOUT\"];\ns44 -> s45[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns44 -> s44[label=\"LISTEN/TIMEOUT\"];\ns44 -> s4[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns44 -> s44[label=\"RCV/TIMEOUT\"];\ns44 -> s4[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns44 -> s42[label=\"CLOSE/TIMEOUT\"];\ns44 -> s44[label=\"ACK(V,V,0)/TIMEOUT\"];\ns45 [shape=\"circle\" label=\"s45\"];\ns45 -> s32[label=\"CLOSECONNECTION/TIMEOUT\"];\ns45 -> s45[label=\"ACK+PSH(V,V,1)/ACK(NEXT,CURRENT,0)\"];\ns45 -> s45[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns45 -> s4[label=\"RST(V,V,0)/TIMEOUT\"];\ns45 -> s45[label=\"ACCEPT/TIMEOUT\"];\ns45 -> s45[label=\"FIN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns45 -> s45[label=\"LISTEN/TIMEOUT\"];\ns45 -> s45[label=\"SYN(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns45 -> s45[label=\"RCV/TIMEOUT\"];\ns45 -> s4[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns45 -> s43[label=\"CLOSE/TIMEOUT\"];\ns45 -> s45[label=\"ACK(V,V,0)/TIMEOUT\"];\ns46 [shape=\"circle\" label=\"s46\"];\ns46 -> s35[label=\"CLOSECONNECTION/TIMEOUT\"];\ns46 -> s4[label=\"ACK+PSH(V,V,1)/RST(NEXT,ZERO,0)\"];\ns46 -> s4[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns46 -> s4[label=\"RST(V,V,0)/TIMEOUT\"];\ns46 -> s46[label=\"ACCEPT/TIMEOUT\"];\ns46 -> s4[label=\"FIN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns46 -> s46[label=\"LISTEN/TIMEOUT\"];\ns46 -> s9[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns46 -> s46[label=\"RCV/TIMEOUT\"];\ns46 -> s4[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns46 -> s8[label=\"CLOSE/TIMEOUT\"];\ns46 -> s4[label=\"ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns47 [shape=\"circle\" label=\"s47\"];\ns47 -> s10[label=\"CLOSECONNECTION/TIMEOUT\"];\ns47 -> s47[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns47 -> s47[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns47 -> s48[label=\"RST(V,V,0)/TIMEOUT\"];\ns47 -> s47[label=\"ACCEPT/TIMEOUT\"];\ns47 -> s47[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns47 -> s47[label=\"LISTEN/TIMEOUT\"];\ns47 -> s47[label=\"SYN(V,V,0)/TIMEOUT\"];\ns47 -> s47[label=\"RCV/TIMEOUT\"];\ns47 -> s48[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns47 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns47 -> s47[label=\"ACK(V,V,0)/TIMEOUT\"];\ns48 [shape=\"circle\" label=\"s48\"];\ns48 -> s12[label=\"CLOSECONNECTION/TIMEOUT\"];\ns48 -> s48[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns48 -> s48[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns48 -> s48[label=\"RST(V,V,0)/TIMEOUT\"];\ns48 -> s48[label=\"ACCEPT/TIMEOUT\"];\ns48 -> s48[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns48 -> s48[label=\"LISTEN/TIMEOUT\"];\ns48 -> s50[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns48 -> s48[label=\"RCV/TIMEOUT\"];\ns48 -> s48[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns48 -> s2[label=\"CLOSE/TIMEOUT\"];\ns48 -> s48[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns49 [shape=\"circle\" label=\"s49\"];\ns49 -> s49[label=\"CLOSECONNECTION/TIMEOUT\"];\ns49 -> s49[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns49 -> s40[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns49 -> s40[label=\"RST(V,V,0)/TIMEOUT\"];\ns49 -> s50[label=\"ACCEPT/TIMEOUT\"];\ns49 -> s49[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns49 -> s49[label=\"LISTEN/TIMEOUT\"];\ns49 -> s40[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns49 -> s49[label=\"RCV/TIMEOUT\"];\ns49 -> s40[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns49 -> s8[label=\"CLOSE/TIMEOUT\"];\ns49 -> s49[label=\"ACK(V,V,0)/TIMEOUT\"];\ns50 [shape=\"circle\" label=\"s50\"];\ns50 -> s18[label=\"CLOSECONNECTION/TIMEOUT\"];\ns50 -> s52[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns50 -> s48[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns50 -> s48[label=\"RST(V,V,0)/TIMEOUT\"];\ns50 -> s50[label=\"ACCEPT/TIMEOUT\"];\ns50 -> s53[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns50 -> s50[label=\"LISTEN/TIMEOUT\"];\ns50 -> s48[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns50 -> s50[label=\"RCV/TIMEOUT\"];\ns50 -> s48[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns50 -> s8[label=\"CLOSE/TIMEOUT\"];\ns50 -> s51[label=\"ACK(V,V,0)/TIMEOUT\"];\ns51 [shape=\"circle\" label=\"s51\"];\ns51 -> s27[label=\"CLOSECONNECTION/TIMEOUT\"];\ns51 -> s52[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns51 -> s51[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns51 -> s54[label=\"RST(V,V,0)/TIMEOUT\"];\ns51 -> s51[label=\"ACCEPT/TIMEOUT\"];\ns51 -> s53[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns51 -> s51[label=\"LISTEN/TIMEOUT\"];\ns51 -> s51[label=\"SYN(V,V,0)/TIMEOUT\"];\ns51 -> s51[label=\"RCV/TIMEOUT\"];\ns51 -> s54[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns51 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns51 -> s51[label=\"ACK(V,V,0)/TIMEOUT\"];\ns52 [shape=\"circle\" label=\"s52\"];\ns52 -> s28[label=\"CLOSECONNECTION/TIMEOUT\"];\ns52 -> s52[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns52 -> s52[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns52 -> s54[label=\"RST(V,V,0)/TIMEOUT\"];\ns52 -> s52[label=\"ACCEPT/TIMEOUT\"];\ns52 -> s55[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns52 -> s52[label=\"LISTEN/TIMEOUT\"];\ns52 -> s52[label=\"SYN(V,V,0)/TIMEOUT\"];\ns52 -> s52[label=\"RCV/TIMEOUT\"];\ns52 -> s54[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns52 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns52 -> s52[label=\"ACK(V,V,0)/TIMEOUT\"];\ns53 [shape=\"circle\" label=\"s53\"];\ns53 -> s26[label=\"CLOSECONNECTION/TIMEOUT\"];\ns53 -> s53[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns53 -> s53[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns53 -> s54[label=\"RST(V,V,0)/TIMEOUT\"];\ns53 -> s53[label=\"ACCEPT/TIMEOUT\"];\ns53 -> s53[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns53 -> s53[label=\"LISTEN/TIMEOUT\"];\ns53 -> s53[label=\"SYN(V,V,0)/TIMEOUT\"];\ns53 -> s53[label=\"RCV/TIMEOUT\"];\ns53 -> s54[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns53 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns53 -> s53[label=\"ACK(V,V,0)/TIMEOUT\"];\ns54 [shape=\"circle\" label=\"s54\"];\ns54 -> s40[label=\"CLOSECONNECTION/TIMEOUT\"];\ns54 -> s54[label=\"ACK+PSH(V,V,1)/RST(ZERO,ZERO,0)\"];\ns54 -> s54[label=\"SYN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns54 -> s54[label=\"RST(V,V,0)/TIMEOUT\"];\ns54 -> s54[label=\"ACCEPT/TIMEOUT\"];\ns54 -> s54[label=\"FIN+ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns54 -> s54[label=\"LISTEN/TIMEOUT\"];\ns54 -> s56[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns54 -> s54[label=\"RCV/TIMEOUT\"];\ns54 -> s54[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns54 -> s2[label=\"CLOSE/TIMEOUT\"];\ns54 -> s54[label=\"ACK(V,V,0)/RST(ZERO,ZERO,0)\"];\ns55 [shape=\"circle\" label=\"s55\"];\ns55 -> s41[label=\"CLOSECONNECTION/TIMEOUT\"];\ns55 -> s55[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns55 -> s55[label=\"SYN+ACK(V,V,0)/ACK(NEXT,CURRENT,0)\"];\ns55 -> s54[label=\"RST(V,V,0)/TIMEOUT\"];\ns55 -> s55[label=\"ACCEPT/TIMEOUT\"];\ns55 -> s55[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns55 -> s55[label=\"LISTEN/TIMEOUT\"];\ns55 -> s55[label=\"SYN(V,V,0)/TIMEOUT\"];\ns55 -> s55[label=\"RCV/TIMEOUT\"];\ns55 -> s54[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns55 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns55 -> s55[label=\"ACK(V,V,0)/TIMEOUT\"];\ns56 [shape=\"circle\" label=\"s56\"];\ns56 -> s49[label=\"CLOSECONNECTION/TIMEOUT\"];\ns56 -> s56[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns56 -> s54[label=\"SYN+ACK(V,V,0)/RST(NEXT,ZERO,0)\"];\ns56 -> s54[label=\"RST(V,V,0)/TIMEOUT\"];\ns56 -> s56[label=\"ACCEPT/TIMEOUT\"];\ns56 -> s56[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns56 -> s56[label=\"LISTEN/TIMEOUT\"];\ns56 -> s54[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns56 -> s56[label=\"RCV/TIMEOUT\"];\ns56 -> s54[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns56 -> s8[label=\"CLOSE/TIMEOUT\"];\ns56 -> s56[label=\"ACK(V,V,0)/TIMEOUT\"];\n__start0 -> s0;\n}\n"
  },
  {
    "path": "DotModels/TCP/tcp_server_windows_trans.dot",
    "content": "digraph G {\n__start0 [label=\"\" shape=\"none\"];\ns0 [shape=\"circle\" label=\"s0\"];\ns0 -> s0[label=\"CLOSECONNECTION/TIMEOUT\"];\ns0 -> s0[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns0 -> s0[label=\"SYN+ACK(V,V,0)/TIMEOUT\"];\ns0 -> s0[label=\"RST(V,V,0)/TIMEOUT\"];\ns0 -> s0[label=\"ACCEPT/TIMEOUT\"];\ns0 -> s0[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns0 -> s1[label=\"LISTEN/TIMEOUT\"];\ns0 -> s0[label=\"SYN(V,V,0)/TIMEOUT\"];\ns0 -> s0[label=\"RCV/TIMEOUT\"];\ns0 -> s0[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns0 -> s2[label=\"CLOSE/TIMEOUT\"];\ns0 -> s0[label=\"SEND/TIMEOUT\"];\ns0 -> s0[label=\"ACK(V,V,0)/TIMEOUT\"];\ns1 [shape=\"circle\" label=\"s1\"];\ns1 -> s1[label=\"CLOSECONNECTION/TIMEOUT\"];\ns1 -> s1[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns1 -> s1[label=\"SYN+ACK(V,V,0)/TIMEOUT\"];\ns1 -> s1[label=\"RST(V,V,0)/TIMEOUT\"];\ns1 -> s3[label=\"ACCEPT/TIMEOUT\"];\ns1 -> s1[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns1 -> s1[label=\"LISTEN/TIMEOUT\"];\ns1 -> s4[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns1 -> s1[label=\"RCV/TIMEOUT\"];\ns1 -> s1[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns1 -> s2[label=\"CLOSE/TIMEOUT\"];\ns1 -> s1[label=\"SEND/TIMEOUT\"];\ns1 -> s1[label=\"ACK(V,V,0)/TIMEOUT\"];\ns2 [shape=\"circle\" label=\"s2\"];\ns2 -> s2[label=\"CLOSECONNECTION/TIMEOUT\"];\ns2 -> s2[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns2 -> s2[label=\"SYN+ACK(V,V,0)/TIMEOUT\"];\ns2 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns2 -> s2[label=\"ACCEPT/TIMEOUT\"];\ns2 -> s2[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns2 -> s2[label=\"LISTEN/TIMEOUT\"];\ns2 -> s2[label=\"SYN(V,V,0)/TIMEOUT\"];\ns2 -> s2[label=\"RCV/TIMEOUT\"];\ns2 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns2 -> s2[label=\"CLOSE/TIMEOUT\"];\ns2 -> s2[label=\"SEND/TIMEOUT\"];\ns2 -> s2[label=\"ACK(V,V,0)/TIMEOUT\"];\ns3 [shape=\"circle\" label=\"s3\"];\ns3 -> s1[label=\"CLOSECONNECTION/TIMEOUT\"];\ns3 -> s3[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns3 -> s3[label=\"SYN+ACK(V,V,0)/TIMEOUT\"];\ns3 -> s3[label=\"RST(V,V,0)/TIMEOUT\"];\ns3 -> s3[label=\"ACCEPT/TIMEOUT\"];\ns3 -> s3[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns3 -> s3[label=\"LISTEN/TIMEOUT\"];\ns3 -> s5[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns3 -> s3[label=\"RCV/TIMEOUT\"];\ns3 -> s3[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns3 -> s2[label=\"CLOSE/TIMEOUT\"];\ns3 -> s3[label=\"SEND/TIMEOUT\"];\ns3 -> s3[label=\"ACK(V,V,0)/TIMEOUT\"];\ns4 [shape=\"circle\" label=\"s4\"];\ns4 -> s4[label=\"CLOSECONNECTION/TIMEOUT\"];\ns4 -> s7[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns4 -> s4[label=\"SYN+ACK(V,V,0)/TIMEOUT\"];\ns4 -> s1[label=\"RST(V,V,0)/TIMEOUT\"];\ns4 -> s5[label=\"ACCEPT/TIMEOUT\"];\ns4 -> s9[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns4 -> s4[label=\"LISTEN/TIMEOUT\"];\ns4 -> s1[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns4 -> s4[label=\"RCV/TIMEOUT\"];\ns4 -> s1[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns4 -> s8[label=\"CLOSE/TIMEOUT\"];\ns4 -> s4[label=\"SEND/TIMEOUT\"];\ns4 -> s6[label=\"ACK(V,V,0)/TIMEOUT\"];\ns5 [shape=\"circle\" label=\"s5\"];\ns5 -> s4[label=\"CLOSECONNECTION/TIMEOUT\"];\ns5 -> s12[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns5 -> s5[label=\"SYN+ACK(V,V,0)/TIMEOUT\"];\ns5 -> s3[label=\"RST(V,V,0)/TIMEOUT\"];\ns5 -> s5[label=\"ACCEPT/TIMEOUT\"];\ns5 -> s10[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns5 -> s5[label=\"LISTEN/TIMEOUT\"];\ns5 -> s3[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns5 -> s5[label=\"RCV/TIMEOUT\"];\ns5 -> s3[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns5 -> s8[label=\"CLOSE/TIMEOUT\"];\ns5 -> s5[label=\"SEND/TIMEOUT\"];\ns5 -> s11[label=\"ACK(V,V,0)/TIMEOUT\"];\ns6 [shape=\"circle\" label=\"s6\"];\ns6 -> s6[label=\"CLOSECONNECTION/TIMEOUT\"];\ns6 -> s7[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns6 -> s13[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns6 -> s13[label=\"RST(V,V,0)/TIMEOUT\"];\ns6 -> s11[label=\"ACCEPT/TIMEOUT\"];\ns6 -> s9[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns6 -> s6[label=\"LISTEN/TIMEOUT\"];\ns6 -> s13[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns6 -> s6[label=\"RCV/TIMEOUT\"];\ns6 -> s13[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns6 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns6 -> s6[label=\"SEND/TIMEOUT\"];\ns6 -> s6[label=\"ACK(V,V,0)/TIMEOUT\"];\ns7 [shape=\"circle\" label=\"s7\"];\ns7 -> s7[label=\"CLOSECONNECTION/TIMEOUT\"];\ns7 -> s7[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns7 -> s13[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns7 -> s13[label=\"RST(V,V,0)/TIMEOUT\"];\ns7 -> s12[label=\"ACCEPT/TIMEOUT\"];\ns7 -> s14[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns7 -> s7[label=\"LISTEN/TIMEOUT\"];\ns7 -> s13[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns7 -> s7[label=\"RCV/TIMEOUT\"];\ns7 -> s13[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns7 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns7 -> s7[label=\"SEND/TIMEOUT\"];\ns7 -> s7[label=\"ACK(V,V,0)/TIMEOUT\"];\ns8 [shape=\"circle\" label=\"s8\"];\ns8 -> s8[label=\"CLOSECONNECTION/TIMEOUT\"];\ns8 -> s2[label=\"ACK+PSH(V,V,1)/RST(NEXT,CURRENT,0)\"];\ns8 -> s8[label=\"SYN+ACK(V,V,0)/TIMEOUT\"];\ns8 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns8 -> s8[label=\"ACCEPT/TIMEOUT\"];\ns8 -> s2[label=\"FIN+ACK(V,V,0)/RST(NEXT,CURRENT,0)\"];\ns8 -> s8[label=\"LISTEN/TIMEOUT\"];\ns8 -> s2[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns8 -> s8[label=\"RCV/TIMEOUT\"];\ns8 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns8 -> s8[label=\"CLOSE/TIMEOUT\"];\ns8 -> s8[label=\"SEND/TIMEOUT\"];\ns8 -> s2[label=\"ACK(V,V,0)/RST(NEXT,CURRENT,0)\"];\ns9 [shape=\"circle\" label=\"s9\"];\ns9 -> s9[label=\"CLOSECONNECTION/TIMEOUT\"];\ns9 -> s9[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns9 -> s13[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns9 -> s13[label=\"RST(V,V,0)/TIMEOUT\"];\ns9 -> s10[label=\"ACCEPT/TIMEOUT\"];\ns9 -> s9[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns9 -> s9[label=\"LISTEN/TIMEOUT\"];\ns9 -> s13[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns9 -> s9[label=\"RCV/TIMEOUT\"];\ns9 -> s13[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns9 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns9 -> s9[label=\"SEND/TIMEOUT\"];\ns9 -> s9[label=\"ACK(V,V,0)/TIMEOUT\"];\ns10 [shape=\"circle\" label=\"s10\"];\ns10 -> s15[label=\"CLOSECONNECTION/ACK+FIN(NEXT,CURRENT,0)\"];\ns10 -> s10[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns10 -> s17[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns10 -> s17[label=\"RST(V,V,0)/TIMEOUT\"];\ns10 -> s10[label=\"ACCEPT/TIMEOUT\"];\ns10 -> s10[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns10 -> s10[label=\"LISTEN/TIMEOUT\"];\ns10 -> s17[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns10 -> s10[label=\"RCV/TIMEOUT\"];\ns10 -> s17[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns10 -> s16[label=\"CLOSE/TIMEOUT\"];\ns10 -> s10[label=\"SEND/ACK+PSH(NEXT,CURRENT,1)\"];\ns10 -> s10[label=\"ACK(V,V,0)/TIMEOUT\"];\ns11 [shape=\"circle\" label=\"s11\"];\ns11 -> s19[label=\"CLOSECONNECTION/ACK+FIN(NEXT,CURRENT,0)\"];\ns11 -> s12[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns11 -> s17[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns11 -> s17[label=\"RST(V,V,0)/TIMEOUT\"];\ns11 -> s11[label=\"ACCEPT/TIMEOUT\"];\ns11 -> s10[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns11 -> s11[label=\"LISTEN/TIMEOUT\"];\ns11 -> s17[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns11 -> s18[label=\"RCV/TIMEOUT\"];\ns11 -> s17[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns11 -> s20[label=\"CLOSE/TIMEOUT\"];\ns11 -> s11[label=\"SEND/ACK+PSH(NEXT,CURRENT,1)\"];\ns11 -> s11[label=\"ACK(V,V,0)/TIMEOUT\"];\ns12 [shape=\"circle\" label=\"s12\"];\ns12 -> s1[label=\"CLOSECONNECTION/ACK+RST(NEXT,CURRENT,0)\"];\ns12 -> s12[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns12 -> s17[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns12 -> s17[label=\"RST(V,V,0)/TIMEOUT\"];\ns12 -> s12[label=\"ACCEPT/TIMEOUT\"];\ns12 -> s22[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns12 -> s12[label=\"LISTEN/TIMEOUT\"];\ns12 -> s17[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns12 -> s11[label=\"RCV/TIMEOUT\"];\ns12 -> s17[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns12 -> s21[label=\"CLOSE/TIMEOUT\"];\ns12 -> s12[label=\"SEND/ACK+PSH(NEXT,CURRENT,1)\"];\ns12 -> s12[label=\"ACK(V,V,0)/TIMEOUT\"];\ns13 [shape=\"circle\" label=\"s13\"];\ns13 -> s13[label=\"CLOSECONNECTION/TIMEOUT\"];\ns13 -> s13[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns13 -> s13[label=\"SYN+ACK(V,V,0)/TIMEOUT\"];\ns13 -> s13[label=\"RST(V,V,0)/TIMEOUT\"];\ns13 -> s17[label=\"ACCEPT/TIMEOUT\"];\ns13 -> s13[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns13 -> s13[label=\"LISTEN/TIMEOUT\"];\ns13 -> s13[label=\"SYN(V,V,0)/TIMEOUT\"];\ns13 -> s13[label=\"RCV/TIMEOUT\"];\ns13 -> s13[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns13 -> s2[label=\"CLOSE/TIMEOUT\"];\ns13 -> s13[label=\"SEND/TIMEOUT\"];\ns13 -> s13[label=\"ACK(V,V,0)/TIMEOUT\"];\ns14 [shape=\"circle\" label=\"s14\"];\ns14 -> s14[label=\"CLOSECONNECTION/TIMEOUT\"];\ns14 -> s14[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns14 -> s13[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns14 -> s13[label=\"RST(V,V,0)/TIMEOUT\"];\ns14 -> s22[label=\"ACCEPT/TIMEOUT\"];\ns14 -> s14[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns14 -> s14[label=\"LISTEN/TIMEOUT\"];\ns14 -> s13[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns14 -> s14[label=\"RCV/TIMEOUT\"];\ns14 -> s13[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns14 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns14 -> s14[label=\"SEND/TIMEOUT\"];\ns14 -> s14[label=\"ACK(V,V,0)/TIMEOUT\"];\ns15 [shape=\"circle\" label=\"s15\"];\ns15 -> s15[label=\"CLOSECONNECTION/TIMEOUT\"];\ns15 -> s1[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns15 -> s1[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns15 -> s1[label=\"RST(V,V,0)/TIMEOUT\"];\ns15 -> s24[label=\"ACCEPT/TIMEOUT\"];\ns15 -> s1[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns15 -> s15[label=\"LISTEN/TIMEOUT\"];\ns15 -> s1[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns15 -> s15[label=\"RCV/TIMEOUT\"];\ns15 -> s1[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns15 -> s23[label=\"CLOSE/TIMEOUT\"];\ns15 -> s15[label=\"SEND/TIMEOUT\"];\ns15 -> s1[label=\"ACK(V,V,0)/TIMEOUT\"];\ns16 [shape=\"circle\" label=\"s16\"];\ns16 -> s23[label=\"CLOSECONNECTION/ACK+FIN(NEXT,CURRENT,0)\"];\ns16 -> s16[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns16 -> s2[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns16 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns16 -> s16[label=\"ACCEPT/TIMEOUT\"];\ns16 -> s16[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns16 -> s16[label=\"LISTEN/TIMEOUT\"];\ns16 -> s2[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns16 -> s16[label=\"RCV/TIMEOUT\"];\ns16 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns16 -> s16[label=\"CLOSE/TIMEOUT\"];\ns16 -> s16[label=\"SEND/ACK+PSH(NEXT,CURRENT,1)\"];\ns16 -> s16[label=\"ACK(V,V,0)/TIMEOUT\"];\ns17 [shape=\"circle\" label=\"s17\"];\ns17 -> s1[label=\"CLOSECONNECTION/TIMEOUT\"];\ns17 -> s17[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns17 -> s17[label=\"SYN+ACK(V,V,0)/TIMEOUT\"];\ns17 -> s17[label=\"RST(V,V,0)/TIMEOUT\"];\ns17 -> s17[label=\"ACCEPT/TIMEOUT\"];\ns17 -> s17[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns17 -> s17[label=\"LISTEN/TIMEOUT\"];\ns17 -> s25[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns17 -> s17[label=\"RCV/TIMEOUT\"];\ns17 -> s17[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns17 -> s2[label=\"CLOSE/TIMEOUT\"];\ns17 -> s17[label=\"SEND/TIMEOUT\"];\ns17 -> s17[label=\"ACK(V,V,0)/TIMEOUT\"];\ns18 [shape=\"circle\" label=\"s18\"];\ns18 -> s1[label=\"CLOSECONNECTION/ACK+RST(NEXT,CURRENT,0)\"];\ns18 -> s11[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns18 -> s17[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns18 -> s17[label=\"RST(V,V,0)/TIMEOUT\"];\ns18 -> s18[label=\"ACCEPT/TIMEOUT\"];\ns18 -> s10[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns18 -> s18[label=\"LISTEN/TIMEOUT\"];\ns18 -> s17[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns18 -> s18[label=\"RCV/TIMEOUT\"];\ns18 -> s17[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns18 -> s20[label=\"CLOSE/TIMEOUT\"];\ns18 -> s18[label=\"SEND/ACK+PSH(NEXT,CURRENT,1)\"];\ns18 -> s18[label=\"ACK(V,V,0)/TIMEOUT\"];\ns19 [shape=\"circle\" label=\"s19\"];\ns19 -> s19[label=\"CLOSECONNECTION/TIMEOUT\"];\ns19 -> s1[label=\"ACK+PSH(V,V,1)/ACK+RST(NEXT,NEXT,0)\"];\ns19 -> s1[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns19 -> s1[label=\"RST(V,V,0)/TIMEOUT\"];\ns19 -> s28[label=\"ACCEPT/TIMEOUT\"];\ns19 -> s27[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns19 -> s19[label=\"LISTEN/TIMEOUT\"];\ns19 -> s1[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns19 -> s19[label=\"RCV/TIMEOUT\"];\ns19 -> s1[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns19 -> s26[label=\"CLOSE/TIMEOUT\"];\ns19 -> s19[label=\"SEND/TIMEOUT\"];\ns19 -> s19[label=\"ACK(V,V,0)/TIMEOUT\"];\ns20 [shape=\"circle\" label=\"s20\"];\ns20 -> s26[label=\"CLOSECONNECTION/ACK+FIN(NEXT,CURRENT,0)\"];\ns20 -> s21[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns20 -> s2[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns20 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns20 -> s20[label=\"ACCEPT/TIMEOUT\"];\ns20 -> s16[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns20 -> s20[label=\"LISTEN/TIMEOUT\"];\ns20 -> s2[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns20 -> s29[label=\"RCV/TIMEOUT\"];\ns20 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns20 -> s20[label=\"CLOSE/TIMEOUT\"];\ns20 -> s20[label=\"SEND/ACK+PSH(NEXT,CURRENT,1)\"];\ns20 -> s20[label=\"ACK(V,V,0)/TIMEOUT\"];\ns21 [shape=\"circle\" label=\"s21\"];\ns21 -> s2[label=\"CLOSECONNECTION/ACK+RST(NEXT,CURRENT,0)\"];\ns21 -> s21[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns21 -> s2[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns21 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns21 -> s21[label=\"ACCEPT/TIMEOUT\"];\ns21 -> s30[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns21 -> s21[label=\"LISTEN/TIMEOUT\"];\ns21 -> s2[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns21 -> s20[label=\"RCV/TIMEOUT\"];\ns21 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns21 -> s21[label=\"CLOSE/TIMEOUT\"];\ns21 -> s21[label=\"SEND/ACK+PSH(NEXT,CURRENT,1)\"];\ns21 -> s21[label=\"ACK(V,V,0)/TIMEOUT\"];\ns22 [shape=\"circle\" label=\"s22\"];\ns22 -> s1[label=\"CLOSECONNECTION/ACK+RST(NEXT,CURRENT,0)\"];\ns22 -> s22[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns22 -> s17[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns22 -> s17[label=\"RST(V,V,0)/TIMEOUT\"];\ns22 -> s22[label=\"ACCEPT/TIMEOUT\"];\ns22 -> s22[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns22 -> s22[label=\"LISTEN/TIMEOUT\"];\ns22 -> s17[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns22 -> s10[label=\"RCV/TIMEOUT\"];\ns22 -> s17[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns22 -> s30[label=\"CLOSE/TIMEOUT\"];\ns22 -> s22[label=\"SEND/ACK+PSH(NEXT,CURRENT,1)\"];\ns22 -> s22[label=\"ACK(V,V,0)/TIMEOUT\"];\ns23 [shape=\"circle\" label=\"s23\"];\ns23 -> s23[label=\"CLOSECONNECTION/TIMEOUT\"];\ns23 -> s2[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns23 -> s2[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns23 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns23 -> s23[label=\"ACCEPT/TIMEOUT\"];\ns23 -> s2[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns23 -> s23[label=\"LISTEN/TIMEOUT\"];\ns23 -> s2[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns23 -> s23[label=\"RCV/TIMEOUT\"];\ns23 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns23 -> s23[label=\"CLOSE/TIMEOUT\"];\ns23 -> s23[label=\"SEND/TIMEOUT\"];\ns23 -> s2[label=\"ACK(V,V,0)/TIMEOUT\"];\ns24 [shape=\"circle\" label=\"s24\"];\ns24 -> s15[label=\"CLOSECONNECTION/TIMEOUT\"];\ns24 -> s3[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns24 -> s3[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns24 -> s3[label=\"RST(V,V,0)/TIMEOUT\"];\ns24 -> s24[label=\"ACCEPT/TIMEOUT\"];\ns24 -> s3[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns24 -> s24[label=\"LISTEN/TIMEOUT\"];\ns24 -> s3[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns24 -> s24[label=\"RCV/TIMEOUT\"];\ns24 -> s3[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns24 -> s23[label=\"CLOSE/TIMEOUT\"];\ns24 -> s24[label=\"SEND/TIMEOUT\"];\ns24 -> s3[label=\"ACK(V,V,0)/TIMEOUT\"];\ns25 [shape=\"circle\" label=\"s25\"];\ns25 -> s4[label=\"CLOSECONNECTION/TIMEOUT\"];\ns25 -> s33[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns25 -> s25[label=\"SYN+ACK(V,V,0)/TIMEOUT\"];\ns25 -> s17[label=\"RST(V,V,0)/TIMEOUT\"];\ns25 -> s25[label=\"ACCEPT/TIMEOUT\"];\ns25 -> s31[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns25 -> s25[label=\"LISTEN/TIMEOUT\"];\ns25 -> s17[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns25 -> s25[label=\"RCV/TIMEOUT\"];\ns25 -> s17[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns25 -> s8[label=\"CLOSE/TIMEOUT\"];\ns25 -> s25[label=\"SEND/TIMEOUT\"];\ns25 -> s32[label=\"ACK(V,V,0)/TIMEOUT\"];\ns26 [shape=\"circle\" label=\"s26\"];\ns26 -> s26[label=\"CLOSECONNECTION/TIMEOUT\"];\ns26 -> s2[label=\"ACK+PSH(V,V,1)/ACK+RST(NEXT,NEXT,0)\"];\ns26 -> s2[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns26 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns26 -> s26[label=\"ACCEPT/TIMEOUT\"];\ns26 -> s34[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns26 -> s26[label=\"LISTEN/TIMEOUT\"];\ns26 -> s2[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns26 -> s26[label=\"RCV/TIMEOUT\"];\ns26 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns26 -> s26[label=\"CLOSE/TIMEOUT\"];\ns26 -> s26[label=\"SEND/TIMEOUT\"];\ns26 -> s26[label=\"ACK(V,V,0)/TIMEOUT\"];\ns27 [shape=\"circle\" label=\"s27\"];\ns27 -> s27[label=\"CLOSECONNECTION/TIMEOUT\"];\ns27 -> s27[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns27 -> s27[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns27 -> s1[label=\"RST(V,V,0)/TIMEOUT\"];\ns27 -> s35[label=\"ACCEPT/TIMEOUT\"];\ns27 -> s27[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns27 -> s27[label=\"LISTEN/TIMEOUT\"];\ns27 -> s4[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns27 -> s27[label=\"RCV/TIMEOUT\"];\ns27 -> s1[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns27 -> s34[label=\"CLOSE/TIMEOUT\"];\ns27 -> s27[label=\"SEND/TIMEOUT\"];\ns27 -> s27[label=\"ACK(V,V,0)/TIMEOUT\"];\ns28 [shape=\"circle\" label=\"s28\"];\ns28 -> s19[label=\"CLOSECONNECTION/TIMEOUT\"];\ns28 -> s3[label=\"ACK+PSH(V,V,1)/ACK+RST(NEXT,NEXT,0)\"];\ns28 -> s3[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns28 -> s3[label=\"RST(V,V,0)/TIMEOUT\"];\ns28 -> s28[label=\"ACCEPT/TIMEOUT\"];\ns28 -> s35[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns28 -> s28[label=\"LISTEN/TIMEOUT\"];\ns28 -> s3[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns28 -> s28[label=\"RCV/TIMEOUT\"];\ns28 -> s3[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns28 -> s26[label=\"CLOSE/TIMEOUT\"];\ns28 -> s28[label=\"SEND/TIMEOUT\"];\ns28 -> s28[label=\"ACK(V,V,0)/TIMEOUT\"];\ns29 [shape=\"circle\" label=\"s29\"];\ns29 -> s2[label=\"CLOSECONNECTION/ACK+RST(NEXT,CURRENT,0)\"];\ns29 -> s20[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns29 -> s2[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns29 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns29 -> s29[label=\"ACCEPT/TIMEOUT\"];\ns29 -> s16[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns29 -> s29[label=\"LISTEN/TIMEOUT\"];\ns29 -> s2[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns29 -> s29[label=\"RCV/TIMEOUT\"];\ns29 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns29 -> s20[label=\"CLOSE/TIMEOUT\"];\ns29 -> s29[label=\"SEND/ACK+PSH(NEXT,CURRENT,1)\"];\ns29 -> s29[label=\"ACK(V,V,0)/TIMEOUT\"];\ns30 [shape=\"circle\" label=\"s30\"];\ns30 -> s2[label=\"CLOSECONNECTION/ACK+RST(NEXT,CURRENT,0)\"];\ns30 -> s30[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns30 -> s2[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns30 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns30 -> s30[label=\"ACCEPT/TIMEOUT\"];\ns30 -> s30[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns30 -> s30[label=\"LISTEN/TIMEOUT\"];\ns30 -> s2[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns30 -> s16[label=\"RCV/TIMEOUT\"];\ns30 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns30 -> s30[label=\"CLOSE/TIMEOUT\"];\ns30 -> s30[label=\"SEND/ACK+PSH(NEXT,CURRENT,1)\"];\ns30 -> s30[label=\"ACK(V,V,0)/TIMEOUT\"];\ns31 [shape=\"circle\" label=\"s31\"];\ns31 -> s9[label=\"CLOSECONNECTION/TIMEOUT\"];\ns31 -> s31[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns31 -> s36[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns31 -> s36[label=\"RST(V,V,0)/TIMEOUT\"];\ns31 -> s31[label=\"ACCEPT/TIMEOUT\"];\ns31 -> s31[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns31 -> s31[label=\"LISTEN/TIMEOUT\"];\ns31 -> s36[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns31 -> s31[label=\"RCV/TIMEOUT\"];\ns31 -> s36[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns31 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns31 -> s31[label=\"SEND/TIMEOUT\"];\ns31 -> s31[label=\"ACK(V,V,0)/TIMEOUT\"];\ns32 [shape=\"circle\" label=\"s32\"];\ns32 -> s6[label=\"CLOSECONNECTION/TIMEOUT\"];\ns32 -> s33[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns32 -> s36[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns32 -> s36[label=\"RST(V,V,0)/TIMEOUT\"];\ns32 -> s32[label=\"ACCEPT/TIMEOUT\"];\ns32 -> s31[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns32 -> s32[label=\"LISTEN/TIMEOUT\"];\ns32 -> s36[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns32 -> s32[label=\"RCV/TIMEOUT\"];\ns32 -> s36[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns32 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns32 -> s32[label=\"SEND/TIMEOUT\"];\ns32 -> s32[label=\"ACK(V,V,0)/TIMEOUT\"];\ns33 [shape=\"circle\" label=\"s33\"];\ns33 -> s7[label=\"CLOSECONNECTION/TIMEOUT\"];\ns33 -> s33[label=\"ACK+PSH(V,V,1)/ACK(NEXT,NEXT,0)\"];\ns33 -> s36[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns33 -> s36[label=\"RST(V,V,0)/TIMEOUT\"];\ns33 -> s33[label=\"ACCEPT/TIMEOUT\"];\ns33 -> s37[label=\"FIN+ACK(V,V,0)/ACK(NEXT,NEXT,0)\"];\ns33 -> s33[label=\"LISTEN/TIMEOUT\"];\ns33 -> s36[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns33 -> s33[label=\"RCV/TIMEOUT\"];\ns33 -> s36[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns33 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns33 -> s33[label=\"SEND/TIMEOUT\"];\ns33 -> s33[label=\"ACK(V,V,0)/TIMEOUT\"];\ns34 [shape=\"circle\" label=\"s34\"];\ns34 -> s34[label=\"CLOSECONNECTION/TIMEOUT\"];\ns34 -> s34[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns34 -> s34[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns34 -> s2[label=\"RST(V,V,0)/TIMEOUT\"];\ns34 -> s34[label=\"ACCEPT/TIMEOUT\"];\ns34 -> s34[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns34 -> s34[label=\"LISTEN/TIMEOUT\"];\ns34 -> s34[label=\"SYN(V,V,0)/TIMEOUT\"];\ns34 -> s34[label=\"RCV/TIMEOUT\"];\ns34 -> s2[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns34 -> s34[label=\"CLOSE/TIMEOUT\"];\ns34 -> s34[label=\"SEND/TIMEOUT\"];\ns34 -> s34[label=\"ACK(V,V,0)/TIMEOUT\"];\ns35 [shape=\"circle\" label=\"s35\"];\ns35 -> s27[label=\"CLOSECONNECTION/TIMEOUT\"];\ns35 -> s35[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns35 -> s35[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns35 -> s3[label=\"RST(V,V,0)/TIMEOUT\"];\ns35 -> s35[label=\"ACCEPT/TIMEOUT\"];\ns35 -> s35[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns35 -> s35[label=\"LISTEN/TIMEOUT\"];\ns35 -> s5[label=\"SYN(V,V,0)/ACK+SYN(FRESH,NEXT,0)\"];\ns35 -> s35[label=\"RCV/TIMEOUT\"];\ns35 -> s3[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns35 -> s34[label=\"CLOSE/TIMEOUT\"];\ns35 -> s35[label=\"SEND/TIMEOUT\"];\ns35 -> s35[label=\"ACK(V,V,0)/TIMEOUT\"];\ns36 [shape=\"circle\" label=\"s36\"];\ns36 -> s13[label=\"CLOSECONNECTION/TIMEOUT\"];\ns36 -> s36[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns36 -> s36[label=\"SYN+ACK(V,V,0)/TIMEOUT\"];\ns36 -> s36[label=\"RST(V,V,0)/TIMEOUT\"];\ns36 -> s36[label=\"ACCEPT/TIMEOUT\"];\ns36 -> s36[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns36 -> s36[label=\"LISTEN/TIMEOUT\"];\ns36 -> s36[label=\"SYN(V,V,0)/TIMEOUT\"];\ns36 -> s36[label=\"RCV/TIMEOUT\"];\ns36 -> s36[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns36 -> s2[label=\"CLOSE/TIMEOUT\"];\ns36 -> s36[label=\"SEND/TIMEOUT\"];\ns36 -> s36[label=\"ACK(V,V,0)/TIMEOUT\"];\ns37 [shape=\"circle\" label=\"s37\"];\ns37 -> s14[label=\"CLOSECONNECTION/TIMEOUT\"];\ns37 -> s37[label=\"ACK+PSH(V,V,1)/TIMEOUT\"];\ns37 -> s36[label=\"SYN+ACK(V,V,0)/RST(NEXT,FRESH,0)\"];\ns37 -> s36[label=\"RST(V,V,0)/TIMEOUT\"];\ns37 -> s37[label=\"ACCEPT/TIMEOUT\"];\ns37 -> s37[label=\"FIN+ACK(V,V,0)/TIMEOUT\"];\ns37 -> s37[label=\"LISTEN/TIMEOUT\"];\ns37 -> s36[label=\"SYN(V,V,0)/ACK+RST(ZERO,NEXT,0)\"];\ns37 -> s37[label=\"RCV/TIMEOUT\"];\ns37 -> s36[label=\"ACK+RST(V,V,0)/TIMEOUT\"];\ns37 -> s2[label=\"CLOSE/ACK+RST(NEXT,CURRENT,0)\"];\ns37 -> s37[label=\"SEND/TIMEOUT\"];\ns37 -> s37[label=\"ACK(V,V,0)/TIMEOUT\"];\n__start0 -> s0;\n}\n"
  },
  {
    "path": "DotModels/TLS/JSSE_1.8.0_25_server_regular.dot",
    "content": "digraph g {\n__start0 [shape=\"none\", label=\"\"];\ns0 [shape=\"circle\", label=\"0\"];\ns1 [shape=\"circle\", label=\"1\"];\ns2 [shape=\"circle\", label=\"2\"];\ns3 [shape=\"circle\", label=\"3\"];\ns4 [shape=\"circle\", label=\"4\"];\ns5 [shape=\"circle\", label=\"5\"];\ns6 [shape=\"circle\", label=\"6\"];\ns7 [shape=\"circle\", label=\"7\"];\ns8 [shape=\"circle\", label=\"8\"];\ns8 -> s3  [label=<ClientKeyExchange<br />Empty>];\ns8 -> s2  [label=<EmptyCertificate | ChangeCipherSpec | ApplicationData | ApplicationDataEmpty<br />Alert Fatal (Unexpected message) / ConnectionClosed>];\ns8 -> s2  [label=<Finished<br />Alert Fatal (Handshake failure) / ConnectionClosed>];\ns8 -> s8  [label=<ClientHelloRSA<br />ServerHello / Certificate / ServerHelloDone>];\ns8 -> s8  [label=<HeartbeatRequest<br />Empty>];\ns3 -> s3  [label=<HeartbeatRequest<br />Empty>];\ns3 -> s2  [label=<ClientKeyExchange<br />Alert Fatal (Internal error) / ConnectionClosed>];\ns3 -> s2  [label=<EmptyCertificate | ApplicationData | ApplicationDataEmpty<br />Alert Fatal (Unexpected message) / ConnectionClosed>];\ns3 -> s6  [label=<Finished<br />ChangeCipherSpec / Finished>];\ns3 -> s5  [label=<ChangeCipherSpec<br />Empty>];\ns3 -> s4  [label=<ClientHelloRSA<br />ServerHello / Certificate / ServerHelloDone>];\ns2 -> s2  [label=<ClientHelloRSA | ClientKeyExchange | EmptyCertificate | ChangeCipherSpec | Finished | ApplicationData | ApplicationDataEmpty | HeartbeatRequest<br />ConnectionClosed>];\ns1 -> s3  [label=<ClientKeyExchange<br />Empty>];\ns1 -> s2  [label=<Finished<br />ChangeCipherSpecDecryption failed>];\ns1 -> s2  [label=<ClientHelloRSA | EmptyCertificate | ChangeCipherSpec | ApplicationData | ApplicationDataEmpty<br />Alert Fatal (Unexpected message) / ConnectionClosed>];\ns1 -> s1  [label=<HeartbeatRequest<br />Empty>];\ns0 -> s2  [label=<Finished<br />Alert Fatal (Internal error) / ConnectionClosed>];\ns0 -> s2  [label=<ClientKeyExchange | EmptyCertificate | ChangeCipherSpec | ApplicationData | ApplicationDataEmpty | HeartbeatRequest<br />Alert Fatal (Unexpected message) / ConnectionClosed>];\ns0 -> s1  [label=<ClientHelloRSA<br />ServerHello / Certificate / ServerHelloDone>];\ns7 -> s2  [label=<ChangeCipherSpec | ApplicationData | ApplicationDataEmpty | HeartbeatRequest<br />Alert Fatal (Bad record MAC) / ConnectionClosed>];\ns7 -> s2  [label=<ClientHelloRSA | ClientKeyExchange | EmptyCertificate | Finished<br />Alert Fatal (Handshake failure) / ConnectionClosed>];\ns6 -> s2  [label=<Finished<br />Alert Fatal (Internal error) / ConnectionClosed>];\ns6 -> s2  [label=<ClientHelloRSA<br />Alert Fatal (Handshake failure) / ConnectionClosed>];\ns6 -> s2  [label=<ClientKeyExchange | EmptyCertificate | ChangeCipherSpec<br />Alert Fatal (Unexpected message) / ConnectionClosed>];\ns6 -> s6  [label=<ApplicationData<br />ApplicationData>];\ns6 -> s6  [label=<ApplicationDataEmpty | HeartbeatRequest<br />Empty>];\ns5 -> s2  [label=<ClientKeyExchange<br />Alert Fatal (Internal error) / ConnectionClosed>];\ns5 -> s2  [label=<EmptyCertificate | ChangeCipherSpec | ApplicationData | ApplicationDataEmpty<br />Alert Fatal (Unexpected message) / ConnectionClosed>];\ns5 -> s8  [label=<ClientHelloRSA<br />ServerHello / Certificate / ServerHelloDone>];\ns5 -> s6  [label=<Finished<br />ChangeCipherSpec / Finished>];\ns5 -> s5  [label=<HeartbeatRequest<br />Empty>];\ns4 -> s3  [label=<ClientKeyExchange<br />Empty>];\ns4 -> s2  [label=<EmptyCertificate | ApplicationData | ApplicationDataEmpty<br />Alert Fatal (Unexpected message) / ConnectionClosed>];\ns4 -> s2  [label=<Finished<br />Alert Fatal (Handshake failure) / ConnectionClosed>];\ns4 -> s7  [label=<ChangeCipherSpec<br />Empty>];\ns4 -> s4  [label=<ClientHelloRSA<br />ServerHello / Certificate / ServerHelloDone>];\ns4 -> s4  [label=<HeartbeatRequest<br />Empty>];\n__start0 -> s0  [label=<HeartbeatRequest<br />Empty>];\n}\n"
  },
  {
    "path": "DotModels/TLS/NSS_3.17.4_server_regular.dot",
    "content": "digraph {\n0 [label=\"s0\"]\n1 [label=\"s1\"]\n2 [label=\"s2\"]\n3 [label=\"s3\"]\n4 [label=\"s4\"]\n5 [label=\"s5\"]\n6 [label=\"s6\"]\n7 [label=\"s7\"]\n7 -> 6 [label=\"ApplicationData/Empty\"]\n7 -> 6 [label=\"ApplicationDataEmpty/Empty\"]\n7 -> 6 [label=\"ChangeCipherSpec/Empty\"]\n7 -> 1 [label=\"ClientHelloRSA/ServerHello Certificate & CertificateRequest & ServerHelloDone\"]\n7 -> 5 [label=\"ClientKeyExchange/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n7 -> 5 [label=\"EmptyCertificate/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n7 -> 5 [label=\"Finished/ConnectionClosed\"]\n7 -> 6 [label=\"HeartbeatRequest/Empty\"]\n0 -> 5 [label=\"ApplicationData/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n0 -> 5 [label=\"ApplicationDataEmpty/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n0 -> 5 [label=\"ChangeCipherSpec/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n0 -> 5 [label=\"ClientHelloRSA/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n0 -> 5 [label=\"ClientKeyExchange/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n0 -> 5 [label=\"EmptyCertificate/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n0 -> 4 [label=\"Finished/ChangeCipherSpec & Finished\"]\n0 -> 5 [label=\"HeartbeatRequest/ConnectionClosed\"]\n1 -> 5 [label=\"ApplicationData/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n1 -> 5 [label=\"ApplicationDataEmpty/Empty\"]\n1 -> 5 [label=\"ChangeCipherSpec/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n1 -> 5 [label=\"ClientHelloRSA/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n1 -> 5 [label=\"ClientKeyExchange/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n1 -> 2 [label=\"EmptyCertificate/Empty\"]\n1 -> 5 [label=\"Finished/ConnectionClosed\"]\n1 -> 5 [label=\"HeartbeatRequest/ConnectionClosed\"]\n2 -> 5 [label=\"ApplicationData/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n2 -> 5 [label=\"ApplicationDataEmpty/Empty\"]\n2 -> 5 [label=\"ChangeCipherSpec/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n2 -> 5 [label=\"ClientHelloRSA/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n2 -> 3 [label=\"ClientKeyExchange/Empty\"]\n2 -> 5 [label=\"EmptyCertificate/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n2 -> 5 [label=\"Finished/ConnectionClosed\"]\n2 -> 5 [label=\"HeartbeatRequest/ConnectionClosed\"]\n3 -> 5 [label=\"ApplicationData/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n3 -> 5 [label=\"ApplicationDataEmpty/Empty\"]\n3 -> 0 [label=\"ChangeCipherSpec/Empty\"]\n3 -> 5 [label=\"ClientHelloRSA/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n3 -> 5 [label=\"ClientKeyExchange/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n3 -> 5 [label=\"EmptyCertificate/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n3 -> 5 [label=\"Finished/ConnectionClosed\"]\n3 -> 5 [label=\"HeartbeatRequest/ConnectionClosed\"]\n4 -> 5 [label=\"ApplicationData/ApplicationData & Alert Warning (Close notify) & ConnectionClosed\"]\n4 -> 4 [label=\"ApplicationDataEmpty/Empty\"]\n4 -> 5 [label=\"ChangeCipherSpec/Alert Fatal (Unexpected message)Alert Warning (Close notify) & ConnectionClosed\"]\n4 -> 5 [label=\"ClientHelloRSA/Alert Fatal (Handshake failure)Alert Warning (No renegotiation)Alert Warning (Close notify) & ConnectionClosed\"]\n4 -> 5 [label=\"ClientKeyExchange/Alert Fatal (Unexpected message)Alert Warning (Close notify) & ConnectionClosed\"]\n4 -> 5 [label=\"EmptyCertificate/Alert Fatal (Unexpected message)Alert Warning (Close notify) & ConnectionClosed\"]\n4 -> 5 [label=\"Finished/Alert Fatal (Unexpected message)Alert Warning (Close notify) & ConnectionClosed\"]\n4 -> 5 [label=\"HeartbeatRequest/Alert Warning (Close notify) & ConnectionClosed\"]\n5 -> 5 [label=\"ApplicationData/ConnectionClosed\"]\n5 -> 5 [label=\"ApplicationDataEmpty/ConnectionClosed\"]\n5 -> 5 [label=\"ChangeCipherSpec/ConnectionClosed\"]\n5 -> 5 [label=\"ClientHelloRSA/ConnectionClosed\"]\n5 -> 5 [label=\"ClientKeyExchange/ConnectionClosed\"]\n5 -> 5 [label=\"EmptyCertificate/ConnectionClosed\"]\n5 -> 5 [label=\"Finished/ConnectionClosed\"]\n5 -> 5 [label=\"HeartbeatRequest/ConnectionClosed\"]\n6 -> 6 [label=\"ApplicationData/Empty\"]\n6 -> 6 [label=\"ApplicationDataEmpty/Empty\"]\n6 -> 6 [label=\"ChangeCipherSpec/Empty\"]\n6 -> 6 [label=\"ClientHelloRSA/Empty\"]\n6 -> 6 [label=\"ClientKeyExchange/Empty\"]\n6 -> 6 [label=\"EmptyCertificate/Empty\"]\n6 -> 6 [label=\"Finished/Empty\"]\n6 -> 6 [label=\"HeartbeatRequest/Empty\"]\n__start0 [label=\"\", shape=none];\n__start0 -> 7  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/TLS/OpenSSL_1.0.2_server_regular.dot",
    "content": "digraph {\n6 [label=\"s6\"]\n0 [label=\"s0\"]\n1 [label=\"s1\"]\n2 [label=\"s2\"]\n3 [label=\"s3\"]\n4 [label=\"s4\"]\n5 [label=\"s5\"]\n6 -> 4 [label=\"ApplicationData/ConnectionClosed\"]\n6 -> 5 [label=\"ApplicationDataEmpty/Empty\"]\n6 -> 4 [label=\"ChangeCipherSpec/Empty\"]\n6 -> 1 [label=\"ClientHelloRSA/ServerHello & Certificate & ServerHelloDone\"]\n6 -> 4 [label=\"ClientKeyExchange/ConnectionClosed\"]\n6 -> 4 [label=\"EmptyCertificate/ConnectionClosed\"]\n6 -> 4 [label=\"Finished/ConnectionClosed\"]\n0 -> 4 [label=\"ApplicationData/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n0 -> 0 [label=\"ApplicationDataEmpty/Empty\"]\n0 -> 4 [label=\"ChangeCipherSpec/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n0 -> 4 [label=\"ClientHelloRSA/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n0 -> 4 [label=\"ClientKeyExchange/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n0 -> 4 [label=\"EmptyCertificate/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n0 -> 3 [label=\"Finished/ChangeCipherSpec & Finished\"]\n1 -> 4 [label=\"ApplicationData/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n1 -> 1 [label=\"ApplicationDataEmpty/Empty\"]\n1 -> 4 [label=\"ChangeCipherSpec/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n1 -> 4 [label=\"ClientHelloRSA/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n1 -> 2 [label=\"ClientKeyExchange/Empty\"]\n1 -> 4 [label=\"EmptyCertificate/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n1 -> 4 [label=\"Finished/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n2 -> 4 [label=\"ApplicationData/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n2 -> 2 [label=\"ApplicationDataEmpty/Empty\"]\n2 -> 0 [label=\"ChangeCipherSpec/Empty\"]\n2 -> 4 [label=\"ClientHelloRSA/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n2 -> 4 [label=\"ClientKeyExchange/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n2 -> 4 [label=\"EmptyCertificate/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n2 -> 4 [label=\"Finished/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n3 -> 4 [label=\"ApplicationData/ApplicationData & ConnectionClosed\"]\n3 -> 3 [label=\"ApplicationDataEmpty/Empty\"]\n3 -> 4 [label=\"ChangeCipherSpec/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n3 -> 4 [label=\"ClientHelloRSA/Alert Fatal (Handshake failure) & ConnectionClosed\"]\n3 -> 4 [label=\"ClientKeyExchange/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n3 -> 4 [label=\"EmptyCertificate/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n3 -> 4 [label=\"Finished/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n4 -> 4 [label=\"ApplicationData/ConnectionClosed\"]\n4 -> 4 [label=\"ApplicationDataEmpty/ConnectionClosed\"]\n4 -> 4 [label=\"ChangeCipherSpec/ConnectionClosed\"]\n4 -> 4 [label=\"ClientHelloRSA/ConnectionClosed\"]\n4 -> 4 [label=\"ClientKeyExchange/ConnectionClosed\"]\n4 -> 4 [label=\"EmptyCertificate/ConnectionClosed\"]\n4 -> 4 [label=\"Finished/ConnectionClosed\"]\n5 -> 4 [label=\"ApplicationData/ConnectionClosed\"]\n5 -> 4 [label=\"ApplicationDataEmpty/Empty\"]\n5 -> 4 [label=\"ChangeCipherSpec/ConnectionClosed\"]\n5 -> 4 [label=\"ClientHelloRSA/ConnectionClosed\"]\n5 -> 4 [label=\"ClientKeyExchange/ConnectionClosed\"]\n5 -> 4 [label=\"EmptyCertificate/ConnectionClosed\"]\n5 -> 4 [label=\"Finished/ConnectionClosed\"]\n__start0 [label=\"\", shape=none];\n__start0 -> 6  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/TLS/RSA_BSAFE_C_4.0.4_server_regular.dot",
    "content": "digraph {\n6 [label=\"s6\"]\n0 [label=\"s0\"]\n1 [label=\"s1\"]\n2 [label=\"s2\"]\n3 [label=\"s3\"]\n4 [label=\"s4\"]\n5 [label=\"s5\"]\n7 [label=\"s7\"]\n8 [label=\"s8\"]\n6 -> 8 [label=\"ApplicationData/Alert Warning (Close notify)\"]\n6 -> 5 [label=\"ApplicationDataEmpty/Empty\"]\n6 -> 4 [label=\"ChangeCipherSpec/Empty\"]\n6 -> 1 [label=\"ClientHelloRSA/ServerHello & Certificate & ServerHelloDone\"]\n6 -> 8 [label=\"ClientKeyExchange/Alert Warning (Close notify)\"]\n6 -> 8 [label=\"EmptyCertificate/Alert Warning (Close notify)\"]\n6 -> 8 [label=\"Finished/Alert Warning (Close notify)\"]\n6 -> 8 [label=\"HeartbeatRequest/Alert Warning (Close notify)\"]\n0 -> 8 [label=\"ApplicationData/Alert Fatal (Unexpected message)\"]\n0 -> 2 [label=\"ApplicationDataEmpty/Empty\"]\n0 -> 8 [label=\"ChangeCipherSpec/Alert Fatal (Bad record MAC)\"]\n0 -> 8 [label=\"ClientHelloRSA/Alert Fatal (Bad record MAC)\"]\n0 -> 8 [label=\"ClientKeyExchange/Alert Fatal (Unexpected message)\"]\n0 -> 8 [label=\"EmptyCertificate/Alert Fatal (Bad record MAC)\"]\n0 -> 7 [label=\"Finished/ChangeCipherSpec & Finished\"]\n0 -> 8 [label=\"HeartbeatRequest/Alert Fatal (Unexpected message)\"]\n1 -> 8 [label=\"ApplicationData/Alert Fatal (Unexpected message)\"]\n1 -> 1 [label=\"ApplicationDataEmpty/Empty\"]\n1 -> 8 [label=\"ChangeCipherSpec/Alert Fatal (Illegal parameter)\"]\n1 -> 8 [label=\"ClientHelloRSA/Alert Fatal (Unexpected message)\"]\n1 -> 3 [label=\"ClientKeyExchange/Empty\"]\n1 -> 8 [label=\"EmptyCertificate/Alert Fatal (Unexpected message)\"]\n1 -> 8 [label=\"Finished/Alert Fatal (Unexpected message)\"]\n1 -> 8 [label=\"HeartbeatRequest/Alert Fatal (Unexpected message)\"]\n2 -> 8 [label=\"ApplicationData/Alert Fatal (Unexpected message)\"]\n2 -> 2 [label=\"ApplicationDataEmpty/Empty\"]\n2 -> 8 [label=\"ChangeCipherSpec/Alert Fatal (Unexpected message)\"]\n2 -> 8 [label=\"ClientHelloRSA/Alert Fatal (Unexpected message)\"]\n2 -> 8 [label=\"ClientKeyExchange/Alert Fatal (Unexpected message)\"]\n2 -> 8 [label=\"EmptyCertificate/Alert Fatal (Unexpected message)\"]\n2 -> 7 [label=\"Finished/ChangeCipherSpec & Finished\"]\n2 -> 8 [label=\"HeartbeatRequest/Alert Fatal (Unexpected message)\"]\n3 -> 8 [label=\"ApplicationData/Alert Fatal (Unexpected message)\"]\n3 -> 3 [label=\"ApplicationDataEmpty/Empty\"]\n3 -> 0 [label=\"ChangeCipherSpec/Empty\"]\n3 -> 8 [label=\"ClientHelloRSA/Alert Fatal (Unexpected message)\"]\n3 -> 8 [label=\"ClientKeyExchange/Alert Fatal (Unexpected message)\"]\n3 -> 8 [label=\"EmptyCertificate/Alert Fatal (Unexpected message)\"]\n3 -> 8 [label=\"Finished/Alert Fatal (Unexpected message)\"]\n3 -> 8 [label=\"HeartbeatRequest/Alert Fatal (Unexpected message)\"]\n4 -> 8 [label=\"ApplicationData/Alert Warning (Close notify)\"]\n4 -> 8 [label=\"ApplicationDataEmpty/Alert Warning (Close notify)\"]\n4 -> 8 [label=\"ChangeCipherSpec/Alert Warning (Close notify)\"]\n4 -> 8 [label=\"ClientHelloRSA/Alert Warning (Close notify)\"]\n4 -> 8 [label=\"ClientKeyExchange/Alert Warning (Close notify)\"]\n4 -> 8 [label=\"EmptyCertificate/Alert Warning (Close notify)\"]\n4 -> 8 [label=\"Finished/Alert Warning (Close notify)\"]\n4 -> 8 [label=\"HeartbeatRequest/Alert Warning (Close notify)\"]\n5 -> 8 [label=\"ApplicationData/Alert Warning (Close notify)\"]\n5 -> 4 [label=\"ApplicationDataEmpty/Empty\"]\n5 -> 8 [label=\"ChangeCipherSpec/Alert Warning (Close notify)\"]\n5 -> 8 [label=\"ClientHelloRSA/Alert Warning (Close notify)\"]\n5 -> 8 [label=\"ClientKeyExchange/Alert Warning (Close notify)\"]\n5 -> 8 [label=\"EmptyCertificate/Alert Warning (Close notify)\"]\n5 -> 8 [label=\"Finished/Alert Warning (Close notify)\"]\n5 -> 8 [label=\"HeartbeatRequest/Alert Warning (Close notify)\"]\n7 -> 8 [label=\"ApplicationData/ApplicationDataAlert Warning (Close notify)\"]\n7 -> 7 [label=\"ApplicationDataEmpty/Empty\"]\n7 -> 8 [label=\"ChangeCipherSpec/Alert Fatal (Illegal parameter)Alert Warning (Close notify)\"]\n7 -> 8 [label=\"ClientHelloRSA/Alert Fatal (Internal error)\"]\n7 -> 8 [label=\"ClientKeyExchange/Alert Fatal (Unexpected message)\"]\n7 -> 8 [label=\"EmptyCertificate/Alert Fatal (Unexpected message)\"]\n7 -> 8 [label=\"Finished/Alert Fatal (Unexpected message)\"]\n7 -> 8 [label=\"HeartbeatRequest/Alert Fatal (Unexpected message)Alert Warning (Close notify)\"]\n8 -> 8 [label=\"ApplicationData/Empty\"]\n8 -> 8 [label=\"ApplicationDataEmpty/Empty\"]\n8 -> 8 [label=\"ChangeCipherSpec/Empty\"]\n8 -> 8 [label=\"ClientHelloRSA/Empty\"]\n8 -> 8 [label=\"ClientKeyExchange/Empty\"]\n8 -> 8 [label=\"EmptyCertificate/Empty\"]\n8 -> 8 [label=\"Finished/Empty\"]\n8 -> 8 [label=\"HeartbeatRequest/Empty\"]\n__start0 [label=\"\", shape=none];\n__start0 -> 6  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/TLS/miTLS_0.1.3_server_regular.dot",
    "content": "digraph {\n2 [label=\"s2\"]\n0 [label=\"s0\"]\n1 [label=\"s1\"]\n3 [label=\"s3\"]\n4 [label=\"s4\"]\n5 [label=\"s5\"]\n2 -> 5 [label=\"ApplicationData/ConnectionClosed\"]\n2 -> 5 [label=\"ApplicationDataEmpty/Alert Fatal (Illegal parameter) & ConnectionClosed\"]\n2 -> 5 [label=\"ChangeCipherSpec/ConnectionClosed\"]\n2 -> 1 [label=\"ClientHelloRSA/ServerHello & Certificate & ServerHelloDone\"]\n2 -> 5 [label=\"ClientKeyExchange/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n2 -> 5 [label=\"EmptyCertificate/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n2 -> 5 [label=\"Finished/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n2 -> 5 [label=\"HeartbeatRequest/ConnectionClosed\"]\n0 -> 5 [label=\"ApplicationData/ApplicationDataApplicationDataApplicationDataApplicationDataApplicationDataApplicationData & ConnectionClosed\"]\n0 -> 0 [label=\"ApplicationDataEmpty/Empty\"]\n0 -> 5 [label=\"ChangeCipherSpec/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n0 -> 5 [label=\"ClientHelloRSA/Alert Fatal (Handshake failure) & ConnectionClosed\"]\n0 -> 5 [label=\"ClientKeyExchange/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n0 -> 5 [label=\"EmptyCertificate/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n0 -> 5 [label=\"Finished/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n0 -> 5 [label=\"HeartbeatRequest/ConnectionClosed\"]\n1 -> 5 [label=\"ApplicationData/ConnectionClosed\"]\n1 -> 5 [label=\"ApplicationDataEmpty/Alert Fatal (Illegal parameter) & ConnectionClosed\"]\n1 -> 5 [label=\"ChangeCipherSpec/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n1 -> 5 [label=\"ClientHelloRSA/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n1 -> 3 [label=\"ClientKeyExchange/Empty\"]\n1 -> 5 [label=\"EmptyCertificate/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n1 -> 5 [label=\"Finished/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n1 -> 5 [label=\"HeartbeatRequest/ConnectionClosed\"]\n3 -> 5 [label=\"ApplicationData/ConnectionClosed\"]\n3 -> 5 [label=\"ApplicationDataEmpty/Alert Fatal (Illegal parameter) & ConnectionClosed\"]\n3 -> 4 [label=\"ChangeCipherSpec/Empty\"]\n3 -> 5 [label=\"ClientHelloRSA/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n3 -> 5 [label=\"ClientKeyExchange/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n3 -> 5 [label=\"EmptyCertificate/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n3 -> 5 [label=\"Finished/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n3 -> 5 [label=\"HeartbeatRequest/ConnectionClosed\"]\n4 -> 5 [label=\"ApplicationData/ConnectionClosed\"]\n4 -> 5 [label=\"ApplicationDataEmpty/ConnectionClosed\"]\n4 -> 5 [label=\"ChangeCipherSpec/ConnectionClosed\"]\n4 -> 5 [label=\"ClientHelloRSA/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n4 -> 5 [label=\"ClientKeyExchange/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n4 -> 5 [label=\"EmptyCertificate/Alert Fatal (Unexpected message) & ConnectionClosed\"]\n4 -> 0 [label=\"Finished/ChangeCipherSpec & Finished\"]\n4 -> 5 [label=\"HeartbeatRequest/ConnectionClosed\"]\n5 -> 5 [label=\"ApplicationData/ConnectionClosed\"]\n5 -> 5 [label=\"ApplicationDataEmpty/ConnectionClosed\"]\n5 -> 5 [label=\"ChangeCipherSpec/ConnectionClosed\"]\n5 -> 5 [label=\"ClientHelloRSA/ConnectionClosed\"]\n5 -> 5 [label=\"ClientKeyExchange/ConnectionClosed\"]\n5 -> 5 [label=\"EmptyCertificate/ConnectionClosed\"]\n5 -> 5 [label=\"Finished/ConnectionClosed\"]\n5 -> 5 [label=\"HeartbeatRequest/ConnectionClosed\"]\n__start0 [label=\"\", shape=none];\n__start0 -> 2 [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/arithmetics.dot",
    "content": "digraph learnedModel {\ns0 [label=\"s0\", shape=circle];\ns1 [label=\"s1\", shape=doublecircle];\ns0 -> s1  [label=\"1\"];\ns0 -> s0  [label=\"( / push(()\"];\ns1 -> s0  [label=\"+\"];\ns1 -> s1  [label=\") / pop(()\"];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}"
  },
  {
    "path": "DotModels/car_alarm.dot",
    "content": "digraph car_alarm {\nq1_locked_closed [label=\"N\"];\nq2_locked_open [label=\"A\"];\nq3_locked_closed [label=\"A\"];\nq5_unlocked_closed [label=\"N\"];\nq6_unlocked_open [label=\"N\"];\nq7_locked_open [label=\"N\"];\nq1_locked_closed -> q2_locked_open  [label=\"d\"];\nq1_locked_closed -> q5_unlocked_closed  [label=\"l\"];\nq2_locked_open -> q3_locked_closed  [label=\"d\"];\nq2_locked_open -> q6_unlocked_open  [label=\"l\"];\nq3_locked_closed -> q2_locked_open  [label=\"d\"];\nq3_locked_closed -> q5_unlocked_closed  [label=\"l\"];\nq5_unlocked_closed -> q6_unlocked_open  [label=\"d\"];\nq5_unlocked_closed -> q1_locked_closed  [label=\"l\"];\nq6_unlocked_open -> q5_unlocked_closed  [label=\"d\"];\nq6_unlocked_open -> q7_locked_open  [label=\"l\"];\nq7_locked_open -> q1_locked_closed  [label=\"d\"];\nq7_locked_open -> q6_unlocked_open  [label=\"l\"];\n__start0 [label=\"\", shape=none];\n__start0 -> q1_locked_closed  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/coffee_mealy.dot",
    "content": "digraph coffee_mealy {\ns0 [label=\"s0\"];\ns1 [label=\"s1\"];\ns0 -> s1  [label=\"coin/ beep\"];\ns0 -> s0  [label=\"button/ init\"];\ns1 -> s1  [label=\"coin/ beep\"];\ns1 -> s0  [label=\"button/ coffee\"];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/coffee_moore.dot",
    "content": "digraph g {\n        __start0 [label=\"\" shape=\"none\"];\n        __start0 -> A;\n    \tA [shape=\"record\", style=\"rounded\", label=\"{ A | init }\"];\n    \tB [shape=\"record\", style=\"rounded\", label=\"{ B | beep }\"];\n    \tC [shape=\"doublecircle\", style=\"rounded\", label=\"{ C | coffee }\"];\n    \tA -> B [label=\"coin\"];\n    \tA -> A [label=\"button\"];\n    \tB -> C [label=\"button\"];\n    \tB -> B [label=\"coin\"];\n    \tC -> B [label=\"coin\"];\n    \tC -> A [label=\"button\"];\n    }\n"
  },
  {
    "path": "DotModels/five_clients_mqtt_abstracted_onfsm.dot",
    "content": "digraph g {\n\n\ts0 [shape=\"circle\" label=\"0\"];\n\ts1 [shape=\"circle\" label=\"1\"];\n\ts2 [shape=\"circle\" label=\"2\"];\n\ts3 [shape=\"circle\" label=\"3\"];\n\ts4 [shape=\"circle\" label=\"4\"];\n\ts5 [shape=\"circle\" label=\"5\"];\n\ts6 [shape=\"circle\" label=\"6\"];\n\ts7 [shape=\"circle\" label=\"7\"];\n\ts8 [shape=\"circle\" label=\"8\"];\n\ts9 [shape=\"circle\" label=\"9\"];\n\ts10 [shape=\"circle\" label=\"10\"];\n\ts11 [shape=\"circle\" label=\"11\"];\n\ts12 [shape=\"circle\" label=\"12\"];\n\ts13 [shape=\"circle\" label=\"13\"];\n\ts14 [shape=\"circle\" label=\"14\"];\n\ts15 [shape=\"circle\" label=\"15\"];\n\ts16 [shape=\"circle\" label=\"16\"];\n\ts17 [shape=\"circle\" label=\"17\"];\n\ts18 [shape=\"circle\" label=\"18\"];\n\ts19 [shape=\"circle\" label=\"19\"];\n\ts20 [shape=\"circle\" label=\"20\"];\n\ts21 [shape=\"circle\" label=\"21\"];\n\ts22 [shape=\"circle\" label=\"22\"];\n\ts23 [shape=\"circle\" label=\"23\"];\n\ts24 [shape=\"circle\" label=\"24\"];\n\ts25 [shape=\"circle\" label=\"25\"];\n\ts26 [shape=\"circle\" label=\"26\"];\n\ts27 [shape=\"circle\" label=\"27\"];\n\ts28 [shape=\"circle\" label=\"28\"];\n\ts29 [shape=\"circle\" label=\"29\"];\n\ts30 [shape=\"circle\" label=\"30\"];\n\ts31 [shape=\"circle\" label=\"31\"];\n\ts32 [shape=\"circle\" label=\"32\"];\n\ts33 [shape=\"circle\" label=\"33\"];\n\ts34 [shape=\"circle\" label=\"34\"];\n\ts35 [shape=\"circle\" label=\"35\"];\n\ts36 [shape=\"circle\" label=\"36\"];\n\ts37 [shape=\"circle\" label=\"37\"];\n\ts38 [shape=\"circle\" label=\"38\"];\n\ts39 [shape=\"circle\" label=\"39\"];\n\ts40 [shape=\"circle\" label=\"40\"];\n\ts41 [shape=\"circle\" label=\"41\"];\n\ts42 [shape=\"circle\" label=\"42\"];\n\ts43 [shape=\"circle\" label=\"43\"];\n\ts44 [shape=\"circle\" label=\"44\"];\n\ts45 [shape=\"circle\" label=\"45\"];\n\ts46 [shape=\"circle\" label=\"46\"];\n\ts47 [shape=\"circle\" label=\"47\"];\n\ts48 [shape=\"circle\" label=\"48\"];\n\ts49 [shape=\"circle\" label=\"49\"];\n\ts50 [shape=\"circle\" label=\"50\"];\n\ts51 [shape=\"circle\" label=\"51\"];\n\ts52 [shape=\"circle\" label=\"52\"];\n\ts53 [shape=\"circle\" label=\"53\"];\n\ts54 [shape=\"circle\" label=\"54\"];\n\ts55 [shape=\"circle\" label=\"55\"];\n\ts56 [shape=\"circle\" label=\"56\"];\n\ts57 [shape=\"circle\" label=\"57\"];\n\ts58 [shape=\"circle\" label=\"58\"];\n\ts59 [shape=\"circle\" label=\"59\"];\n\ts60 [shape=\"circle\" label=\"60\"];\n\ts61 [shape=\"circle\" label=\"61\"];\n\ts62 [shape=\"circle\" label=\"62\"];\n\ts63 [shape=\"circle\" label=\"63\"];\n\ts64 [shape=\"circle\" label=\"64\"];\n\ts65 [shape=\"circle\" label=\"65\"];\n\ts66 [shape=\"circle\" label=\"66\"];\n\ts67 [shape=\"circle\" label=\"67\"];\n\ts68 [shape=\"circle\" label=\"68\"];\n\ts69 [shape=\"circle\" label=\"69\"];\n\ts70 [shape=\"circle\" label=\"70\"];\n\ts71 [shape=\"circle\" label=\"71\"];\n\ts72 [shape=\"circle\" label=\"72\"];\n\ts73 [shape=\"circle\" label=\"73\"];\n\ts74 [shape=\"circle\" label=\"74\"];\n\ts75 [shape=\"circle\" label=\"75\"];\n\ts76 [shape=\"circle\" label=\"76\"];\n\ts77 [shape=\"circle\" label=\"77\"];\n\ts78 [shape=\"circle\" label=\"78\"];\n\ts79 [shape=\"circle\" label=\"79\"];\n\ts80 [shape=\"circle\" label=\"80\"];\n\ts81 [shape=\"circle\" label=\"81\"];\n\ts82 [shape=\"circle\" label=\"82\"];\n\ts83 [shape=\"circle\" label=\"83\"];\n\ts84 [shape=\"circle\" label=\"84\"];\n\ts85 [shape=\"circle\" label=\"85\"];\n\ts86 [shape=\"circle\" label=\"86\"];\n\ts87 [shape=\"circle\" label=\"87\"];\n\ts88 [shape=\"circle\" label=\"88\"];\n\ts89 [shape=\"circle\" label=\"89\"];\n\ts90 [shape=\"circle\" label=\"90\"];\n\ts91 [shape=\"circle\" label=\"91\"];\n\ts92 [shape=\"circle\" label=\"92\"];\n\ts93 [shape=\"circle\" label=\"93\"];\n\ts94 [shape=\"circle\" label=\"94\"];\n\ts95 [shape=\"circle\" label=\"95\"];\n\ts96 [shape=\"circle\" label=\"96\"];\n\ts97 [shape=\"circle\" label=\"97\"];\n\ts98 [shape=\"circle\" label=\"98\"];\n\ts99 [shape=\"circle\" label=\"99\"];\n\ts100 [shape=\"circle\" label=\"100\"];\n\ts101 [shape=\"circle\" label=\"101\"];\n\ts102 [shape=\"circle\" label=\"102\"];\n\ts103 [shape=\"circle\" label=\"103\"];\n\ts104 [shape=\"circle\" label=\"104\"];\n\ts105 [shape=\"circle\" label=\"105\"];\n\ts106 [shape=\"circle\" label=\"106\"];\n\ts107 [shape=\"circle\" label=\"107\"];\n\ts108 [shape=\"circle\" label=\"108\"];\n\ts109 [shape=\"circle\" label=\"109\"];\n\ts110 [shape=\"circle\" label=\"110\"];\n\ts111 [shape=\"circle\" label=\"111\"];\n\ts112 [shape=\"circle\" label=\"112\"];\n\ts113 [shape=\"circle\" label=\"113\"];\n\ts114 [shape=\"circle\" label=\"114\"];\n\ts115 [shape=\"circle\" label=\"115\"];\n\ts116 [shape=\"circle\" label=\"116\"];\n\ts117 [shape=\"circle\" label=\"117\"];\n\ts118 [shape=\"circle\" label=\"118\"];\n\ts119 [shape=\"circle\" label=\"119\"];\n\ts120 [shape=\"circle\" label=\"120\"];\n\ts121 [shape=\"circle\" label=\"121\"];\n\ts122 [shape=\"circle\" label=\"122\"];\n\ts123 [shape=\"circle\" label=\"123\"];\n\ts124 [shape=\"circle\" label=\"124\"];\n\ts125 [shape=\"circle\" label=\"125\"];\n\ts126 [shape=\"circle\" label=\"126\"];\n\ts127 [shape=\"circle\" label=\"127\"];\n\ts128 [shape=\"circle\" label=\"128\"];\n\ts129 [shape=\"circle\" label=\"129\"];\n\ts130 [shape=\"circle\" label=\"130\"];\n\ts131 [shape=\"circle\" label=\"131\"];\n\ts132 [shape=\"circle\" label=\"132\"];\n\ts133 [shape=\"circle\" label=\"133\"];\n\ts134 [shape=\"circle\" label=\"134\"];\n\ts135 [shape=\"circle\" label=\"135\"];\n\ts136 [shape=\"circle\" label=\"136\"];\n\ts137 [shape=\"circle\" label=\"137\"];\n\ts138 [shape=\"circle\" label=\"138\"];\n\ts139 [shape=\"circle\" label=\"139\"];\n\ts140 [shape=\"circle\" label=\"140\"];\n\ts141 [shape=\"circle\" label=\"141\"];\n\ts142 [shape=\"circle\" label=\"142\"];\n\ts143 [shape=\"circle\" label=\"143\"];\n\ts144 [shape=\"circle\" label=\"144\"];\n\ts145 [shape=\"circle\" label=\"145\"];\n\ts146 [shape=\"circle\" label=\"146\"];\n\ts147 [shape=\"circle\" label=\"147\"];\n\ts148 [shape=\"circle\" label=\"148\"];\n\ts149 [shape=\"circle\" label=\"149\"];\n\ts150 [shape=\"circle\" label=\"150\"];\n\ts151 [shape=\"circle\" label=\"151\"];\n\ts152 [shape=\"circle\" label=\"152\"];\n\ts153 [shape=\"circle\" label=\"153\"];\n\ts154 [shape=\"circle\" label=\"154\"];\n\ts155 [shape=\"circle\" label=\"155\"];\n\ts156 [shape=\"circle\" label=\"156\"];\n\ts157 [shape=\"circle\" label=\"157\"];\n\ts158 [shape=\"circle\" label=\"158\"];\n\ts159 [shape=\"circle\" label=\"159\"];\n\ts160 [shape=\"circle\" label=\"160\"];\n\ts161 [shape=\"circle\" label=\"161\"];\n\ts162 [shape=\"circle\" label=\"162\"];\n\ts163 [shape=\"circle\" label=\"163\"];\n\ts164 [shape=\"circle\" label=\"164\"];\n\ts165 [shape=\"circle\" label=\"165\"];\n\ts166 [shape=\"circle\" label=\"166\"];\n\ts167 [shape=\"circle\" label=\"167\"];\n\ts168 [shape=\"circle\" label=\"168\"];\n\ts169 [shape=\"circle\" label=\"169\"];\n\ts170 [shape=\"circle\" label=\"170\"];\n\ts171 [shape=\"circle\" label=\"171\"];\n\ts172 [shape=\"circle\" label=\"172\"];\n\ts173 [shape=\"circle\" label=\"173\"];\n\ts174 [shape=\"circle\" label=\"174\"];\n\ts175 [shape=\"circle\" label=\"175\"];\n\ts176 [shape=\"circle\" label=\"176\"];\n\ts177 [shape=\"circle\" label=\"177\"];\n\ts178 [shape=\"circle\" label=\"178\"];\n\ts179 [shape=\"circle\" label=\"179\"];\n\ts180 [shape=\"circle\" label=\"180\"];\n\ts181 [shape=\"circle\" label=\"181\"];\n\ts182 [shape=\"circle\" label=\"182\"];\n\ts183 [shape=\"circle\" label=\"183\"];\n\ts184 [shape=\"circle\" label=\"184\"];\n\ts185 [shape=\"circle\" label=\"185\"];\n\ts186 [shape=\"circle\" label=\"186\"];\n\ts187 [shape=\"circle\" label=\"187\"];\n\ts188 [shape=\"circle\" label=\"188\"];\n\ts189 [shape=\"circle\" label=\"189\"];\n\ts190 [shape=\"circle\" label=\"190\"];\n\ts191 [shape=\"circle\" label=\"191\"];\n\ts192 [shape=\"circle\" label=\"192\"];\n\ts193 [shape=\"circle\" label=\"193\"];\n\ts194 [shape=\"circle\" label=\"194\"];\n\ts195 [shape=\"circle\" label=\"195\"];\n\ts196 [shape=\"circle\" label=\"196\"];\n\ts197 [shape=\"circle\" label=\"197\"];\n\ts198 [shape=\"circle\" label=\"198\"];\n\ts199 [shape=\"circle\" label=\"199\"];\n\ts200 [shape=\"circle\" label=\"200\"];\n\ts201 [shape=\"circle\" label=\"201\"];\n\ts202 [shape=\"circle\" label=\"202\"];\n\ts203 [shape=\"circle\" label=\"203\"];\n\ts204 [shape=\"circle\" label=\"204\"];\n\ts205 [shape=\"circle\" label=\"205\"];\n\ts206 [shape=\"circle\" label=\"206\"];\n\ts207 [shape=\"circle\" label=\"207\"];\n\ts208 [shape=\"circle\" label=\"208\"];\n\ts209 [shape=\"circle\" label=\"209\"];\n\ts210 [shape=\"circle\" label=\"210\"];\n\ts211 [shape=\"circle\" label=\"211\"];\n\ts212 [shape=\"circle\" label=\"212\"];\n\ts213 [shape=\"circle\" label=\"213\"];\n\ts214 [shape=\"circle\" label=\"214\"];\n\ts215 [shape=\"circle\" label=\"215\"];\n\ts216 [shape=\"circle\" label=\"216\"];\n\ts217 [shape=\"circle\" label=\"217\"];\n\ts218 [shape=\"circle\" label=\"218\"];\n\ts219 [shape=\"circle\" label=\"219\"];\n\ts220 [shape=\"circle\" label=\"220\"];\n\ts221 [shape=\"circle\" label=\"221\"];\n\ts222 [shape=\"circle\" label=\"222\"];\n\ts223 [shape=\"circle\" label=\"223\"];\n\ts224 [shape=\"circle\" label=\"224\"];\n\ts225 [shape=\"circle\" label=\"225\"];\n\ts226 [shape=\"circle\" label=\"226\"];\n\ts227 [shape=\"circle\" label=\"227\"];\n\ts228 [shape=\"circle\" label=\"228\"];\n\ts229 [shape=\"circle\" label=\"229\"];\n\ts230 [shape=\"circle\" label=\"230\"];\n\ts231 [shape=\"circle\" label=\"231\"];\n\ts232 [shape=\"circle\" label=\"232\"];\n\ts233 [shape=\"circle\" label=\"233\"];\n\ts234 [shape=\"circle\" label=\"234\"];\n\ts235 [shape=\"circle\" label=\"235\"];\n\ts236 [shape=\"circle\" label=\"236\"];\n\ts237 [shape=\"circle\" label=\"237\"];\n\ts238 [shape=\"circle\" label=\"238\"];\n\ts239 [shape=\"circle\" label=\"239\"];\n\ts240 [shape=\"circle\" label=\"240\"];\n\ts241 [shape=\"circle\" label=\"241\"];\n\ts242 [shape=\"circle\" label=\"242\"];\n\ts0 -> s1 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONNACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s2 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONNACK__c2_CONCLOSED\"];\n\ts0 -> s3 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONNACK\"];\n\ts0 -> s4 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s5 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s0 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s0 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s0 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s0 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s0 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s0 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s0 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s0 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s0 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s0 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s0 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s0 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s0 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s0 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s0 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s0 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s0 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s0 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s0 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts0 -> s0 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s0 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s6 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONNACK__c2_CONCLOSED\"];\n\ts1 -> s7 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONNACK\"];\n\ts1 -> s8 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s9 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s0 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s1 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s1 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s1 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s1 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s10 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_SUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s1 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s1 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s1 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s1 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s1 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_UNSUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s1 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s1 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s1 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s1 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s1 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s1 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s1 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s1 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts1 -> s1 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts2 -> s6 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONNACK__c1_Empty__c2_CONCLOSED\"];\n\ts2 -> s0 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts2 -> s11 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONNACK\"];\n\ts2 -> s12 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts2 -> s13 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts2 -> s2 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts2 -> s0 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts2 -> s2 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts2 -> s2 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts2 -> s2 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts2 -> s2 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts2 -> s14 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_SUBACK__c2_CONCLOSED\"];\n\ts2 -> s2 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts2 -> s2 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts2 -> s2 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts2 -> s2 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts2 -> s2 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts2 -> s2 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts2 -> s2 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts2 -> s2 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts2 -> s2 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts2 -> s2 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_PUBACK__c2_CONCLOSED\"];\n\ts2 -> s2 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts2 -> s2 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts2 -> s2 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts3 -> s7 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONNACK__c1_CONCLOSED__c2_Empty\"];\n\ts3 -> s11 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONNACK__c2_Empty\"];\n\ts3 -> s0 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts3 -> s15 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts3 -> s16 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts3 -> s3 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts3 -> s3 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts3 -> s0 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts3 -> s3 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts3 -> s3 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts3 -> s3 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts3 -> s3 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts3 -> s17 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_SUBACK\"];\n\ts3 -> s3 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts3 -> s3 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts3 -> s3 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts3 -> s3 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts3 -> s3 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts3 -> s3 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts3 -> s3 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts3 -> s3 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts3 -> s3 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts3 -> s3 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_PUBACK\"];\n\ts3 -> s3 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts3 -> s3 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts4 -> s8 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONNACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s12 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONNACK__c2_CONCLOSED\"];\n\ts4 -> s15 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONNACK\"];\n\ts4 -> s0 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s18 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s4 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s4 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s4 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s0 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s4 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s4 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s4 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s4 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s19 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s4 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s4 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s4 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s4 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s4 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s4 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s4 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s4 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s4 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s4 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts4 -> s4 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s9 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONNACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s13 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONNACK__c2_CONCLOSED\"];\n\ts5 -> s16 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONNACK\"];\n\ts5 -> s18 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s0 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s5 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s5 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s5 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s5 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s0 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s5 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s5 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s5 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s5 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s20 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s5 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s5 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s5 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s5 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s5 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s5 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s5 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s5 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s5 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts5 -> s5 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts6 -> s2 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts6 -> s1 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts6 -> s21 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts6 -> s22 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts6 -> s23 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts6 -> s2 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts6 -> s1 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts6 -> s6 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts6 -> s6 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts6 -> s6 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts6 -> s24 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts6 -> s25 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts6 -> s6 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts6 -> s6 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts6 -> s6 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts6 -> s6 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts6 -> s6 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts6 -> s6 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts6 -> s6 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts6 -> s6 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts6 -> s6 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts6 -> s6 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_PUBACK__c2_CONCLOSED\"];\n\ts6 -> s6 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts6 -> s6 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts6 -> s6 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts7 -> s3 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts7 -> s21 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts7 -> s1 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts7 -> s26 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts7 -> s27 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts7 -> s3 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts7 -> s7 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts7 -> s1 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts7 -> s7 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts7 -> s7 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts7 -> s28 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts7 -> s7 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts7 -> s29 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts7 -> s7 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts7 -> s7 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts7 -> s7 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts7 -> s7 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts7 -> s7 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts7 -> s7 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts7 -> s7 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts7 -> s7 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts7 -> s7 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts7 -> s7 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_PUBACK\"];\n\ts7 -> s7 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts7 -> s7 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts8 -> s4 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s22 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONNACK__c2_CONCLOSED\"];\n\ts8 -> s26 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONNACK\"];\n\ts8 -> s1 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s30 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s4 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s8 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s8 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s1 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s8 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s31 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s8 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s8 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s32 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s8 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s8 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s8 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s8 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s8 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s8 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s8 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_PUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s8 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s8 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s8 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts8 -> s8 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s5 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s23 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONNACK__c2_CONCLOSED\"];\n\ts9 -> s27 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONNACK\"];\n\ts9 -> s30 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s1 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s5 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s9 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s9 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s9 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s1 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s33 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s9 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s9 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s9 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s34 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s9 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s9 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s9 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s9 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s9 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s9 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_PUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s9 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s9 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s9 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts9 -> s9 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s0 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s24 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONNACK__c2_CONCLOSED\"];\n\ts10 -> s28 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONNACK\"];\n\ts10 -> s31 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s33 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s0 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s10 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s10 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s10 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s10 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s10 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_SUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s10 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s10 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s10 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s10 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s1 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_UNSUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s10 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s10 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s10 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s10 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s10 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s10 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s10 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s10 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts10 -> s10 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts11 -> s21 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts11 -> s3 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts11 -> s2 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts11 -> s35 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts11 -> s36 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts11 -> s11 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts11 -> s3 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts11 -> s2 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts11 -> s11 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts11 -> s11 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts11 -> s11 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts11 -> s37 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts11 -> s38 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts11 -> s11 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts11 -> s11 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts11 -> s11 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts11 -> s11 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts11 -> s11 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts11 -> s11 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts11 -> s11 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts11 -> s11 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts11 -> s11 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_PUBACK__c2_Empty\"];\n\ts11 -> s11 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_PUBACK\"];\n\ts11 -> s11 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts11 -> s11 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts12 -> s22 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONNACK__c1_Empty__c2_CONCLOSED\"];\n\ts12 -> s4 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts12 -> s35 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONNACK\"];\n\ts12 -> s2 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts12 -> s39 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts12 -> s12 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts12 -> s4 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts12 -> s12 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts12 -> s2 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts12 -> s12 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts12 -> s12 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts12 -> s40 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_SUBACK__c2_CONCLOSED\"];\n\ts12 -> s12 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts12 -> s41 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts12 -> s12 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts12 -> s12 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts12 -> s12 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts12 -> s12 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts12 -> s12 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts12 -> s12 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts12 -> s12 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts12 -> s12 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_PUBACK__c2_CONCLOSED\"];\n\ts12 -> s12 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts12 -> s12 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts12 -> s12 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts13 -> s23 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONNACK__c1_Empty__c2_CONCLOSED\"];\n\ts13 -> s5 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts13 -> s36 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONNACK\"];\n\ts13 -> s39 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts13 -> s2 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts13 -> s13 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts13 -> s5 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts13 -> s13 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts13 -> s13 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts13 -> s2 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts13 -> s13 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts13 -> s42 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_CONCLOSED\"];\n\ts13 -> s13 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts13 -> s13 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts13 -> s43 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts13 -> s13 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts13 -> s13 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts13 -> s13 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts13 -> s13 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts13 -> s13 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts13 -> s13 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts13 -> s13 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_PUBACK__c2_CONCLOSED\"];\n\ts13 -> s13 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts13 -> s13 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts13 -> s13 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts14 -> s25 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONNACK__c1_Empty__c2_CONCLOSED\"];\n\ts14 -> s0 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts14 -> s37 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONNACK\"];\n\ts14 -> s40 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts14 -> s42 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts14 -> s14 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts14 -> s0 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts14 -> s14 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts14 -> s14 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts14 -> s14 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts14 -> s14 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts14 -> s14 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_SUBACK__c2_CONCLOSED\"];\n\ts14 -> s14 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts14 -> s14 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts14 -> s14 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts14 -> s14 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts14 -> s2 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts14 -> s14 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts14 -> s14 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts14 -> s14 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts14 -> s14 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts14 -> s14 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts14 -> s14 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts14 -> s14 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts14 -> s14 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts15 -> s26 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONNACK__c1_CONCLOSED__c2_Empty\"];\n\ts15 -> s35 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONNACK__c2_Empty\"];\n\ts15 -> s4 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts15 -> s3 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts15 -> s44 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts15 -> s15 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts15 -> s15 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts15 -> s4 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts15 -> s3 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts15 -> s15 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts15 -> s15 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts15 -> s15 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts15 -> s45 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_SUBACK\"];\n\ts15 -> s46 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts15 -> s15 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts15 -> s15 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts15 -> s15 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts15 -> s15 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts15 -> s15 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts15 -> s15 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts15 -> s15 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts15 -> s15 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts15 -> s15 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_PUBACK\"];\n\ts15 -> s15 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts15 -> s15 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts16 -> s27 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONNACK__c1_CONCLOSED__c2_Empty\"];\n\ts16 -> s36 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONNACK__c2_Empty\"];\n\ts16 -> s5 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts16 -> s44 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts16 -> s3 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts16 -> s16 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts16 -> s16 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts16 -> s5 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts16 -> s16 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts16 -> s3 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts16 -> s16 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts16 -> s16 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts16 -> s47 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_SUBACK\"];\n\ts16 -> s16 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts16 -> s48 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts16 -> s16 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts16 -> s16 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts16 -> s16 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts16 -> s16 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts16 -> s16 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts16 -> s16 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts16 -> s16 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts16 -> s16 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_PUBACK\"];\n\ts16 -> s16 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts16 -> s16 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts17 -> s29 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONNACK__c1_CONCLOSED__c2_Empty\"];\n\ts17 -> s38 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONNACK__c2_Empty\"];\n\ts17 -> s0 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts17 -> s45 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts17 -> s47 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts17 -> s17 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts17 -> s17 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts17 -> s0 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts17 -> s17 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts17 -> s17 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts17 -> s17 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts17 -> s17 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts17 -> s17 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_SUBACK\"];\n\ts17 -> s17 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts17 -> s17 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts17 -> s17 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts17 -> s17 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts17 -> s3 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts17 -> s17 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts17 -> s17 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts17 -> s17 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts17 -> s17 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts17 -> s17 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts17 -> s17 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts17 -> s17 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts18 -> s30 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s39 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONNACK__c2_CONCLOSED\"];\n\ts18 -> s44 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONNACK\"];\n\ts18 -> s5 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s4 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s18 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s18 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s18 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s5 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s4 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s18 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s18 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s18 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s49 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s50 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s18 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s18 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s18 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s18 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s18 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s18 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s18 [label=\"c1_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s18 [label=\"c2_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s18 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts18 -> s18 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s32 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONNACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s41 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONNACK__c2_CONCLOSED\"];\n\ts19 -> s46 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONNACK\"];\n\ts19 -> s0 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s49 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s19 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s19 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s19 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s0 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s19 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s19 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s19 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s19 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s19 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s19 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s19 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s19 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s19 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s4 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s19 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s19 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s19 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s19 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s19 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts19 -> s19 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s34 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONNACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s43 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONNACK__c2_CONCLOSED\"];\n\ts20 -> s48 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONNACK\"];\n\ts20 -> s50 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s0 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s20 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s20 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s20 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s20 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s0 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s20 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s20 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s20 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s20 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s20 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s20 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s20 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s20 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s20 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s5 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s20 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s20 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s20 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s20 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts20 -> s20 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts21 -> s11 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts21 -> s7 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts21 -> s6 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts21 -> s51 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts21 -> s52 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts21 -> s11 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts21 -> s7 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts21 -> s6 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts21 -> s21 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts21 -> s21 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts21 -> s53 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts21 -> s54 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts21 -> s55 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts21 -> s21 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts21 -> s21 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts21 -> s21 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts21 -> s21 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts21 -> s21 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts21 -> s21 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts21 -> s21 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts21 -> s21 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBACK__c1_Empty__c2_Empty\"];\n\ts21 -> s21 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_PUBACK__c2_Empty\"];\n\ts21 -> s21 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_PUBACK\"];\n\ts21 -> s21 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts21 -> s21 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts22 -> s12 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts22 -> s8 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts22 -> s51 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts22 -> s6 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts22 -> s56 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts22 -> s12 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts22 -> s8 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts22 -> s22 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts22 -> s6 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts22 -> s22 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts22 -> s57 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts22 -> s58 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts22 -> s22 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts22 -> s59 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts22 -> s22 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts22 -> s22 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts22 -> s22 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts22 -> s22 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts22 -> s22 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts22 -> s22 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts22 -> s22 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_PUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts22 -> s22 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_PUBACK__c2_CONCLOSED\"];\n\ts22 -> s22 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts22 -> s22 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts22 -> s22 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts23 -> s13 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts23 -> s9 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts23 -> s52 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts23 -> s56 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts23 -> s6 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts23 -> s13 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts23 -> s9 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts23 -> s23 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts23 -> s23 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts23 -> s6 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts23 -> s60 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts23 -> s61 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts23 -> s23 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts23 -> s23 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts23 -> s62 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts23 -> s23 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts23 -> s23 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts23 -> s23 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts23 -> s23 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts23 -> s23 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts23 -> s23 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_PUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts23 -> s23 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_PUBACK__c2_CONCLOSED\"];\n\ts23 -> s23 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts23 -> s23 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts23 -> s23 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts24 -> s2 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts24 -> s10 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts24 -> s53 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts24 -> s57 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts24 -> s60 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts24 -> s2 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts24 -> s10 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts24 -> s24 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts24 -> s24 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts24 -> s24 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts24 -> s24 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts24 -> s63 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts24 -> s24 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts24 -> s24 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts24 -> s24 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts24 -> s6 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts24 -> s24 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts24 -> s24 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts24 -> s24 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts24 -> s24 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts24 -> s24 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts24 -> s24 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBLISH__c1_PUBACK__c2_CONCLOSED\"];\n\ts24 -> s24 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts24 -> s24 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts24 -> s24 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts25 -> s14 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts25 -> s1 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts25 -> s54 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts25 -> s58 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts25 -> s61 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts25 -> s14 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts25 -> s1 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts25 -> s25 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts25 -> s25 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts25 -> s25 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts25 -> s63 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts25 -> s25 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts25 -> s25 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts25 -> s25 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts25 -> s25 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts25 -> s25 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts25 -> s6 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts25 -> s25 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts25 -> s25 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts25 -> s25 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts25 -> s25 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBACK__c1_PUBLISH__c2_CONCLOSED\"];\n\ts25 -> s25 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts25 -> s25 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts25 -> s25 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts25 -> s25 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts26 -> s15 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts26 -> s51 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts26 -> s8 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts26 -> s7 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts26 -> s64 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts26 -> s15 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts26 -> s26 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts26 -> s8 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts26 -> s7 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts26 -> s26 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts26 -> s65 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts26 -> s26 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts26 -> s66 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts26 -> s67 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts26 -> s26 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts26 -> s26 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts26 -> s26 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts26 -> s26 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts26 -> s26 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts26 -> s26 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts26 -> s26 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_PUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts26 -> s26 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts26 -> s26 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_PUBACK\"];\n\ts26 -> s26 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts26 -> s26 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts27 -> s16 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts27 -> s52 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts27 -> s9 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts27 -> s64 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts27 -> s7 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts27 -> s16 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts27 -> s27 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts27 -> s9 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts27 -> s27 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts27 -> s7 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts27 -> s68 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts27 -> s27 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts27 -> s69 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts27 -> s27 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts27 -> s70 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts27 -> s27 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts27 -> s27 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts27 -> s27 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts27 -> s27 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts27 -> s27 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts27 -> s27 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_PUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts27 -> s27 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts27 -> s27 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_PUBACK\"];\n\ts27 -> s27 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts27 -> s27 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts28 -> s3 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts28 -> s53 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts28 -> s10 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts28 -> s65 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts28 -> s68 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts28 -> s3 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts28 -> s28 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts28 -> s10 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts28 -> s28 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts28 -> s28 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts28 -> s28 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts28 -> s28 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts28 -> s71 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts28 -> s28 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts28 -> s28 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts28 -> s7 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts28 -> s28 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts28 -> s28 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts28 -> s28 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts28 -> s28 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts28 -> s28 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts28 -> s28 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts28 -> s28 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBLISH__c1_CONCLOSED__c2_PUBACK\"];\n\ts28 -> s28 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts28 -> s28 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts29 -> s17 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts29 -> s55 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts29 -> s1 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts29 -> s66 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts29 -> s69 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts29 -> s17 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts29 -> s29 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts29 -> s1 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts29 -> s29 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts29 -> s29 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts29 -> s71 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts29 -> s29 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts29 -> s29 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts29 -> s29 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts29 -> s29 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts29 -> s29 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts29 -> s29 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts29 -> s7 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts29 -> s29 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts29 -> s29 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts29 -> s29 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBACK__c1_CONCLOSED__c2_PUBLISH\"];\n\ts29 -> s29 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts29 -> s29 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts29 -> s29 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts29 -> s29 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts30 -> s18 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s56 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_CONCLOSED\"];\n\ts30 -> s64 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONNACK\"];\n\ts30 -> s9 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s8 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s18 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s30 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s30 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s9 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s8 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s72 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s30 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s30 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s73 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s74 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s30 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s30 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s30 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s30 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s30 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s30 [label=\"c0_publish / c3_Empty__c4_Empty__c0_PUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s30 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s30 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s30 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts30 -> s30 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s4 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s57 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONNACK__c2_CONCLOSED\"];\n\ts31 -> s65 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONNACK\"];\n\ts31 -> s10 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s72 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s4 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s31 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s31 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s10 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s31 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s31 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s31 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s31 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s75 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s31 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s8 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s31 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s31 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s31 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s31 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s31 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s31 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s31 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s31 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts31 -> s31 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s19 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s59 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONNACK__c2_CONCLOSED\"];\n\ts32 -> s67 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONNACK\"];\n\ts32 -> s1 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s73 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s19 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s32 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s32 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s1 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s32 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s75 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s32 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s32 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s32 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s32 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s32 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s32 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s32 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s8 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s32 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s32 [label=\"c0_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s32 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s32 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s32 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts32 -> s32 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s5 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s60 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONNACK__c2_CONCLOSED\"];\n\ts33 -> s68 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONNACK\"];\n\ts33 -> s72 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s10 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s5 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s33 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s33 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s33 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s10 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s33 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s33 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s33 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s33 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s76 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s9 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s33 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s33 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s33 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s33 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s33 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s33 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s33 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s33 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts33 -> s33 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s20 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s62 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONNACK__c2_CONCLOSED\"];\n\ts34 -> s70 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONNACK\"];\n\ts34 -> s74 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s1 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s20 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s34 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s34 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s34 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s1 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s76 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s34 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s34 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s34 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s34 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s34 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s34 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s34 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s34 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s9 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s34 [label=\"c0_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s34 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s34 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s34 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts34 -> s34 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts35 -> s51 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts35 -> s15 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts35 -> s12 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts35 -> s11 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts35 -> s77 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts35 -> s35 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts35 -> s15 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts35 -> s12 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts35 -> s11 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts35 -> s35 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts35 -> s35 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts35 -> s78 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts35 -> s79 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts35 -> s80 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts35 -> s35 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts35 -> s35 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts35 -> s35 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts35 -> s35 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts35 -> s35 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts35 -> s35 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts35 -> s35 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts35 -> s35 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_PUBACK__c2_Empty\"];\n\ts35 -> s35 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_PUBACK\"];\n\ts35 -> s35 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts35 -> s35 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts36 -> s52 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts36 -> s16 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts36 -> s13 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts36 -> s77 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts36 -> s11 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts36 -> s36 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts36 -> s16 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts36 -> s13 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts36 -> s36 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts36 -> s11 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts36 -> s36 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts36 -> s81 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts36 -> s82 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts36 -> s36 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts36 -> s83 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts36 -> s36 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts36 -> s36 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts36 -> s36 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts36 -> s36 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts36 -> s36 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts36 -> s36 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts36 -> s36 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_PUBACK__c2_Empty\"];\n\ts36 -> s36 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_PUBACK\"];\n\ts36 -> s36 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts36 -> s36 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts37 -> s54 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts37 -> s3 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts37 -> s14 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts37 -> s78 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts37 -> s81 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts37 -> s37 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts37 -> s3 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts37 -> s14 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts37 -> s37 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts37 -> s37 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts37 -> s37 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts37 -> s37 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts37 -> s84 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts37 -> s37 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts37 -> s37 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts37 -> s37 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts37 -> s11 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts37 -> s37 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts37 -> s37 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts37 -> s37 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts37 -> s37 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts37 -> s37 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts37 -> s37 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_PUBLISH__c2_PUBACK\"];\n\ts37 -> s37 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts37 -> s37 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts38 -> s55 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts38 -> s17 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts38 -> s2 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts38 -> s79 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts38 -> s82 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts38 -> s38 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts38 -> s17 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts38 -> s2 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts38 -> s38 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts38 -> s38 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts38 -> s38 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts38 -> s84 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts38 -> s38 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts38 -> s38 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts38 -> s38 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts38 -> s38 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts38 -> s38 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts38 -> s11 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts38 -> s38 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts38 -> s38 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts38 -> s38 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts38 -> s38 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_PUBACK__c2_PUBLISH\"];\n\ts38 -> s38 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts38 -> s38 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts38 -> s38 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts39 -> s56 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_CONCLOSED\"];\n\ts39 -> s18 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts39 -> s77 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONNACK\"];\n\ts39 -> s13 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts39 -> s12 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts39 -> s39 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts39 -> s18 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts39 -> s39 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts39 -> s13 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts39 -> s12 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts39 -> s39 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts39 -> s85 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_CONCLOSED\"];\n\ts39 -> s39 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts39 -> s86 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts39 -> s87 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts39 -> s39 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts39 -> s39 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts39 -> s39 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts39 -> s39 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts39 -> s39 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts39 -> s39 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts39 -> s39 [label=\"c1_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_PUBACK__c2_CONCLOSED\"];\n\ts39 -> s39 [label=\"c2_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts39 -> s39 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts39 -> s39 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts40 -> s58 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONNACK__c1_Empty__c2_CONCLOSED\"];\n\ts40 -> s4 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts40 -> s78 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONNACK\"];\n\ts40 -> s14 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts40 -> s85 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts40 -> s40 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts40 -> s4 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts40 -> s40 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts40 -> s14 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts40 -> s40 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts40 -> s40 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts40 -> s40 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_SUBACK__c2_CONCLOSED\"];\n\ts40 -> s40 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts40 -> s88 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts40 -> s40 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts40 -> s40 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts40 -> s12 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts40 -> s40 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts40 -> s40 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts40 -> s40 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts40 -> s40 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts40 -> s40 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts40 -> s40 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts40 -> s40 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_PUBLISH__c2_CONCLOSED\"];\n\ts40 -> s40 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts41 -> s59 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONNACK__c1_Empty__c2_CONCLOSED\"];\n\ts41 -> s19 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts41 -> s80 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONNACK\"];\n\ts41 -> s2 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts41 -> s86 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts41 -> s41 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts41 -> s19 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts41 -> s41 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts41 -> s2 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts41 -> s41 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts41 -> s41 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts41 -> s88 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_SUBACK__c2_CONCLOSED\"];\n\ts41 -> s41 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts41 -> s41 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts41 -> s41 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts41 -> s41 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts41 -> s41 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts41 -> s41 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts41 -> s12 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts41 -> s41 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts41 -> s41 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts41 -> s41 [label=\"c1_publish / c3_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_PUBACK__c2_CONCLOSED\"];\n\ts41 -> s41 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts41 -> s41 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts41 -> s41 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts42 -> s61 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONNACK__c1_Empty__c2_CONCLOSED\"];\n\ts42 -> s5 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts42 -> s81 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONNACK\"];\n\ts42 -> s85 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts42 -> s14 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts42 -> s42 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts42 -> s5 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts42 -> s42 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts42 -> s42 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts42 -> s14 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts42 -> s42 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts42 -> s42 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_CONCLOSED\"];\n\ts42 -> s42 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts42 -> s42 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts42 -> s89 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts42 -> s42 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts42 -> s13 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts42 -> s42 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts42 -> s42 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts42 -> s42 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts42 -> s42 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts42 -> s42 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts42 -> s42 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts42 -> s42 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts42 -> s42 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_CONCLOSED__c1_PUBLISH__c2_CONCLOSED\"];\n\ts43 -> s62 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONNACK__c1_Empty__c2_CONCLOSED\"];\n\ts43 -> s20 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts43 -> s83 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONNACK\"];\n\ts43 -> s87 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts43 -> s2 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts43 -> s43 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts43 -> s20 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts43 -> s43 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts43 -> s43 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts43 -> s2 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts43 -> s43 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts43 -> s89 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_CONCLOSED\"];\n\ts43 -> s43 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts43 -> s43 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts43 -> s43 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts43 -> s43 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts43 -> s43 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts43 -> s43 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts43 -> s43 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts43 -> s13 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts43 -> s43 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts43 -> s43 [label=\"c1_publish / c3_CONCLOSED__c4_PUBLISH__c0_CONCLOSED__c1_PUBACK__c2_CONCLOSED\"];\n\ts43 -> s43 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts43 -> s43 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts43 -> s43 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts44 -> s64 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_CONCLOSED__c2_Empty\"];\n\ts44 -> s77 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONNACK__c2_Empty\"];\n\ts44 -> s18 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts44 -> s16 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts44 -> s15 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts44 -> s44 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts44 -> s44 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts44 -> s18 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts44 -> s16 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts44 -> s15 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts44 -> s44 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts44 -> s44 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts44 -> s90 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_SUBACK\"];\n\ts44 -> s91 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts44 -> s92 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts44 -> s44 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts44 -> s44 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts44 -> s44 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts44 -> s44 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts44 -> s44 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts44 -> s44 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts44 -> s44 [label=\"c1_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts44 -> s44 [label=\"c2_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_PUBACK\"];\n\ts44 -> s44 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts44 -> s44 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts45 -> s66 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONNACK__c1_CONCLOSED__c2_Empty\"];\n\ts45 -> s79 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONNACK__c2_Empty\"];\n\ts45 -> s4 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts45 -> s17 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts45 -> s90 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts45 -> s45 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts45 -> s45 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts45 -> s4 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts45 -> s17 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts45 -> s45 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts45 -> s45 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts45 -> s45 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts45 -> s45 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_SUBACK\"];\n\ts45 -> s93 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts45 -> s45 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts45 -> s45 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts45 -> s45 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts45 -> s15 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts45 -> s45 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts45 -> s45 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts45 -> s45 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts45 -> s45 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts45 -> s45 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts45 -> s45 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_PUBLISH\"];\n\ts45 -> s45 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts46 -> s67 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONNACK__c1_CONCLOSED__c2_Empty\"];\n\ts46 -> s80 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONNACK__c2_Empty\"];\n\ts46 -> s19 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts46 -> s3 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts46 -> s91 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts46 -> s46 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts46 -> s46 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts46 -> s19 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts46 -> s3 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts46 -> s46 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts46 -> s46 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts46 -> s46 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts46 -> s93 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_SUBACK\"];\n\ts46 -> s46 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts46 -> s46 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts46 -> s46 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts46 -> s46 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts46 -> s46 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts46 -> s15 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts46 -> s46 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts46 -> s46 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts46 -> s46 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts46 -> s46 [label=\"c2_publish / c3_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_PUBACK\"];\n\ts46 -> s46 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts46 -> s46 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts47 -> s69 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONNACK__c1_CONCLOSED__c2_Empty\"];\n\ts47 -> s82 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONNACK__c2_Empty\"];\n\ts47 -> s5 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts47 -> s90 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts47 -> s17 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts47 -> s47 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts47 -> s47 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts47 -> s5 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts47 -> s47 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts47 -> s17 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts47 -> s47 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts47 -> s47 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts47 -> s47 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_SUBACK\"];\n\ts47 -> s47 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts47 -> s94 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts47 -> s47 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts47 -> s47 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts47 -> s16 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts47 -> s47 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts47 -> s47 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts47 -> s47 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts47 -> s47 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts47 -> s47 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts47 -> s47 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts47 -> s47 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_PUBLISH\"];\n\ts48 -> s70 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONNACK__c1_CONCLOSED__c2_Empty\"];\n\ts48 -> s83 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONNACK__c2_Empty\"];\n\ts48 -> s20 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts48 -> s92 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts48 -> s3 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts48 -> s48 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts48 -> s48 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts48 -> s20 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts48 -> s48 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts48 -> s3 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts48 -> s48 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts48 -> s48 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts48 -> s94 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_SUBACK\"];\n\ts48 -> s48 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts48 -> s48 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts48 -> s48 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts48 -> s48 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts48 -> s48 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts48 -> s48 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts48 -> s16 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts48 -> s48 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts48 -> s48 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts48 -> s48 [label=\"c2_publish / c3_CONCLOSED__c4_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_PUBACK\"];\n\ts48 -> s48 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts48 -> s48 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts49 -> s73 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s86 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONNACK__c2_CONCLOSED\"];\n\ts49 -> s91 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONNACK\"];\n\ts49 -> s5 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s19 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s49 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s49 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s49 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s5 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s19 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s49 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s49 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s49 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s49 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s95 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s49 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s49 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s49 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s18 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s49 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s49 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s49 [label=\"c1_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s49 [label=\"c2_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s49 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts49 -> s49 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s74 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s87 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONNACK__c2_CONCLOSED\"];\n\ts50 -> s92 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONNACK\"];\n\ts50 -> s20 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s4 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s50 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s50 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s50 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s20 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s4 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s50 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s50 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s50 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s95 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s50 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s50 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s50 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s50 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s50 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s18 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s50 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s50 [label=\"c1_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s50 [label=\"c2_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s50 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts50 -> s50 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts51 -> s35 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts51 -> s26 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts51 -> s22 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts51 -> s21 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts51 -> s96 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts51 -> s35 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts51 -> s26 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts51 -> s22 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts51 -> s21 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts51 -> s51 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts51 -> s97 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts51 -> s98 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts51 -> s99 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts51 -> s100 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts51 -> s51 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts51 -> s51 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts51 -> s51 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts51 -> s51 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts51 -> s51 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts51 -> s51 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts51 -> s51 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_PUBACK__c1_Empty__c2_Empty\"];\n\ts51 -> s51 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_PUBACK__c2_Empty\"];\n\ts51 -> s51 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_PUBACK\"];\n\ts51 -> s51 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts51 -> s51 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts52 -> s36 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts52 -> s27 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts52 -> s23 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts52 -> s96 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts52 -> s21 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts52 -> s36 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts52 -> s27 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts52 -> s23 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts52 -> s52 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts52 -> s21 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts52 -> s101 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts52 -> s102 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts52 -> s103 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts52 -> s52 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts52 -> s104 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts52 -> s52 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts52 -> s52 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts52 -> s52 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts52 -> s52 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts52 -> s52 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts52 -> s52 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_PUBACK__c1_Empty__c2_Empty\"];\n\ts52 -> s52 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_PUBACK__c2_Empty\"];\n\ts52 -> s52 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_PUBACK\"];\n\ts52 -> s52 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts52 -> s52 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts53 -> s11 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts53 -> s28 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts53 -> s24 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts53 -> s97 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts53 -> s101 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts53 -> s11 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts53 -> s28 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts53 -> s24 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts53 -> s53 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts53 -> s53 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts53 -> s53 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts53 -> s105 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts53 -> s106 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts53 -> s53 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts53 -> s53 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts53 -> s21 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts53 -> s53 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts53 -> s53 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts53 -> s53 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts53 -> s53 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts53 -> s53 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_Empty__c2_Empty\"];\n\ts53 -> s53 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBLISH__c1_PUBACK__c2_Empty\"];\n\ts53 -> s53 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBLISH__c1_Empty__c2_PUBACK\"];\n\ts53 -> s53 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts53 -> s53 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts54 -> s37 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts54 -> s7 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts54 -> s25 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts54 -> s98 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts54 -> s102 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts54 -> s37 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts54 -> s7 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts54 -> s25 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts54 -> s54 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts54 -> s54 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts54 -> s105 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts54 -> s54 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts54 -> s107 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts54 -> s54 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts54 -> s54 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts54 -> s54 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts54 -> s21 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts54 -> s54 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts54 -> s54 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts54 -> s54 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts54 -> s54 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBACK__c1_PUBLISH__c2_Empty\"];\n\ts54 -> s54 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts54 -> s54 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_PUBLISH__c2_PUBACK\"];\n\ts54 -> s54 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts54 -> s54 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts55 -> s38 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts55 -> s29 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts55 -> s6 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts55 -> s99 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts55 -> s103 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts55 -> s38 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts55 -> s29 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts55 -> s6 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts55 -> s55 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts55 -> s55 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts55 -> s106 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts55 -> s107 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts55 -> s55 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts55 -> s55 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts55 -> s55 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts55 -> s55 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts55 -> s55 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts55 -> s21 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts55 -> s55 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts55 -> s55 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts55 -> s55 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBACK__c1_Empty__c2_PUBLISH\"];\n\ts55 -> s55 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_PUBACK__c2_PUBLISH\"];\n\ts55 -> s55 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts55 -> s55 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts55 -> s55 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts56 -> s39 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts56 -> s30 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts56 -> s96 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts56 -> s23 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts56 -> s22 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts56 -> s39 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts56 -> s30 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts56 -> s56 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts56 -> s23 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts56 -> s22 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts56 -> s108 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts56 -> s109 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts56 -> s56 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts56 -> s110 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts56 -> s111 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts56 -> s56 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts56 -> s56 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts56 -> s56 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts56 -> s56 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts56 -> s56 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts56 -> s56 [label=\"c0_publish / c3_Empty__c4_Empty__c0_PUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts56 -> s56 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_PUBACK__c2_CONCLOSED\"];\n\ts56 -> s56 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts56 -> s56 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts56 -> s56 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts57 -> s12 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts57 -> s31 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts57 -> s97 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts57 -> s24 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts57 -> s108 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts57 -> s12 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts57 -> s31 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts57 -> s57 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts57 -> s24 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts57 -> s57 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts57 -> s57 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts57 -> s112 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts57 -> s57 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts57 -> s113 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts57 -> s57 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts57 -> s22 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts57 -> s57 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts57 -> s57 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts57 -> s57 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts57 -> s57 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts57 -> s57 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts57 -> s57 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_PUBLISH__c1_PUBACK__c2_CONCLOSED\"];\n\ts57 -> s57 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts57 -> s57 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts57 -> s57 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts58 -> s40 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts58 -> s8 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts58 -> s98 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts58 -> s25 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts58 -> s109 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts58 -> s40 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts58 -> s8 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts58 -> s58 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts58 -> s25 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts58 -> s58 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts58 -> s112 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts58 -> s58 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts58 -> s58 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts58 -> s114 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts58 -> s58 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts58 -> s58 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts58 -> s22 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts58 -> s58 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts58 -> s58 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts58 -> s58 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts58 -> s58 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_PUBACK__c1_PUBLISH__c2_CONCLOSED\"];\n\ts58 -> s58 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts58 -> s58 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts58 -> s58 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_Empty__c1_PUBLISH__c2_CONCLOSED\"];\n\ts58 -> s58 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts59 -> s41 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts59 -> s32 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts59 -> s100 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts59 -> s6 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts59 -> s110 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts59 -> s41 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts59 -> s32 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts59 -> s59 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts59 -> s6 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts59 -> s59 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts59 -> s113 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts59 -> s114 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts59 -> s59 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts59 -> s59 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts59 -> s59 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts59 -> s59 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts59 -> s59 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts59 -> s59 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts59 -> s22 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts59 -> s59 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts59 -> s59 [label=\"c0_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts59 -> s59 [label=\"c1_publish / c3_PUBLISH__c4_CONCLOSED__c0_Empty__c1_PUBACK__c2_CONCLOSED\"];\n\ts59 -> s59 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts59 -> s59 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts59 -> s59 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts60 -> s13 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts60 -> s33 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts60 -> s101 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts60 -> s108 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts60 -> s24 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts60 -> s13 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts60 -> s33 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts60 -> s60 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts60 -> s60 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts60 -> s24 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts60 -> s60 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts60 -> s115 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts60 -> s60 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts60 -> s60 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts60 -> s116 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts60 -> s23 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts60 -> s60 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts60 -> s60 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts60 -> s60 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts60 -> s60 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts60 -> s60 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_PUBACK_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts60 -> s60 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_PUBLISH__c1_PUBACK__c2_CONCLOSED\"];\n\ts60 -> s60 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts60 -> s60 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts60 -> s60 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts61 -> s42 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts61 -> s9 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts61 -> s102 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts61 -> s109 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts61 -> s25 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts61 -> s42 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts61 -> s9 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts61 -> s61 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts61 -> s61 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts61 -> s25 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts61 -> s115 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts61 -> s61 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts61 -> s61 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts61 -> s61 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts61 -> s117 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts61 -> s61 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts61 -> s23 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts61 -> s61 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts61 -> s61 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts61 -> s61 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts61 -> s61 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_PUBACK__c1_PUBLISH__c2_CONCLOSED\"];\n\ts61 -> s61 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts61 -> s61 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts61 -> s61 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts61 -> s61 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_Empty__c1_PUBLISH__c2_CONCLOSED\"];\n\ts62 -> s43 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts62 -> s34 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts62 -> s104 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts62 -> s111 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts62 -> s6 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts62 -> s43 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts62 -> s34 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts62 -> s62 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts62 -> s62 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts62 -> s6 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts62 -> s116 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts62 -> s117 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts62 -> s62 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts62 -> s62 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts62 -> s62 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts62 -> s62 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts62 -> s62 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts62 -> s62 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts62 -> s62 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts62 -> s23 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts62 -> s62 [label=\"c0_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts62 -> s62 [label=\"c1_publish / c3_CONCLOSED__c4_PUBLISH__c0_Empty__c1_PUBACK__c2_CONCLOSED\"];\n\ts62 -> s62 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts62 -> s62 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts62 -> s62 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts63 -> s14 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts63 -> s10 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts63 -> s105 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts63 -> s112 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts63 -> s115 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts63 -> s14 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts63 -> s10 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts63 -> s63 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts63 -> s63 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts63 -> s63 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts63 -> s63 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts63 -> s63 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts63 -> s63 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts63 -> s63 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts63 -> s63 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts63 -> s25 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts63 -> s24 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts63 -> s63 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts63 -> s63 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts63 -> s63 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts63 -> s63 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts63 -> s63 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts63 -> s63 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts63 -> s63 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts63 -> s63 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts64 -> s44 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts64 -> s96 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts64 -> s30 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts64 -> s27 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts64 -> s26 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts64 -> s44 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts64 -> s64 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts64 -> s30 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts64 -> s27 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts64 -> s26 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts64 -> s118 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts64 -> s64 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts64 -> s119 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts64 -> s120 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts64 -> s121 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts64 -> s64 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts64 -> s64 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts64 -> s64 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts64 -> s64 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts64 -> s64 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts64 -> s64 [label=\"c0_publish / c3_Empty__c4_Empty__c0_PUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts64 -> s64 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts64 -> s64 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_PUBACK\"];\n\ts64 -> s64 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts64 -> s64 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts65 -> s15 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts65 -> s97 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts65 -> s31 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts65 -> s28 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts65 -> s118 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts65 -> s15 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts65 -> s65 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts65 -> s31 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts65 -> s28 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts65 -> s65 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts65 -> s65 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts65 -> s65 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts65 -> s122 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts65 -> s123 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts65 -> s65 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts65 -> s26 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts65 -> s65 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts65 -> s65 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts65 -> s65 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts65 -> s65 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts65 -> s65 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts65 -> s65 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts65 -> s65 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_PUBLISH__c1_CONCLOSED__c2_PUBACK\"];\n\ts65 -> s65 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts65 -> s65 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts66 -> s45 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts66 -> s99 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts66 -> s8 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts66 -> s29 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts66 -> s119 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts66 -> s45 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts66 -> s66 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts66 -> s8 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts66 -> s29 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts66 -> s66 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts66 -> s122 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts66 -> s66 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts66 -> s66 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts66 -> s124 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts66 -> s66 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts66 -> s66 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts66 -> s66 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts66 -> s26 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts66 -> s66 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts66 -> s66 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts66 -> s66 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_PUBACK__c1_CONCLOSED__c2_PUBLISH\"];\n\ts66 -> s66 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts66 -> s66 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts66 -> s66 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_PUBLISH\"];\n\ts66 -> s66 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts67 -> s46 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts67 -> s100 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts67 -> s32 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts67 -> s7 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts67 -> s120 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts67 -> s46 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts67 -> s67 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts67 -> s32 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts67 -> s7 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts67 -> s67 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts67 -> s123 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts67 -> s67 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts67 -> s124 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts67 -> s67 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts67 -> s67 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts67 -> s67 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts67 -> s67 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts67 -> s67 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts67 -> s26 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts67 -> s67 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts67 -> s67 [label=\"c0_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts67 -> s67 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts67 -> s67 [label=\"c2_publish / c3_PUBLISH__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_PUBACK\"];\n\ts67 -> s67 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts67 -> s67 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts68 -> s16 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts68 -> s101 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts68 -> s33 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts68 -> s118 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts68 -> s28 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts68 -> s16 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts68 -> s68 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts68 -> s33 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts68 -> s68 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts68 -> s28 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts68 -> s68 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts68 -> s68 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts68 -> s125 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts68 -> s68 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts68 -> s126 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts68 -> s27 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts68 -> s68 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts68 -> s68 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts68 -> s68 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts68 -> s68 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts68 -> s68 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts68 -> s68 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts68 -> s68 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_PUBLISH__c1_CONCLOSED__c2_PUBACK\"];\n\ts68 -> s68 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts68 -> s68 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts69 -> s47 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts69 -> s103 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts69 -> s9 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts69 -> s119 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts69 -> s29 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts69 -> s47 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts69 -> s69 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts69 -> s9 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts69 -> s69 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts69 -> s29 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts69 -> s125 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts69 -> s69 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts69 -> s69 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts69 -> s69 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts69 -> s127 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts69 -> s69 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts69 -> s69 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts69 -> s27 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts69 -> s69 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts69 -> s69 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts69 -> s69 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_PUBACK__c1_CONCLOSED__c2_PUBLISH\"];\n\ts69 -> s69 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts69 -> s69 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts69 -> s69 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts69 -> s69 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_Empty__c1_CONCLOSED__c2_PUBLISH\"];\n\ts70 -> s48 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts70 -> s104 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts70 -> s34 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts70 -> s121 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts70 -> s7 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts70 -> s48 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts70 -> s70 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts70 -> s34 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts70 -> s70 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts70 -> s7 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts70 -> s126 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts70 -> s70 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts70 -> s127 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts70 -> s70 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts70 -> s70 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts70 -> s70 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts70 -> s70 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts70 -> s70 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts70 -> s70 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts70 -> s27 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts70 -> s70 [label=\"c0_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts70 -> s70 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts70 -> s70 [label=\"c2_publish / c3_CONCLOSED__c4_PUBLISH__c0_Empty__c1_CONCLOSED__c2_PUBACK\"];\n\ts70 -> s70 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts70 -> s70 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts71 -> s17 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts71 -> s106 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts71 -> s10 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts71 -> s122 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts71 -> s125 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts71 -> s17 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts71 -> s71 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts71 -> s10 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts71 -> s71 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts71 -> s71 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts71 -> s71 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts71 -> s71 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts71 -> s71 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts71 -> s71 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts71 -> s71 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts71 -> s29 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts71 -> s71 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts71 -> s28 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts71 -> s71 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts71 -> s71 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts71 -> s71 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts71 -> s71 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts71 -> s71 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBLISH__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts71 -> s71 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts71 -> s71 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts72 -> s18 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s108 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_CONCLOSED\"];\n\ts72 -> s118 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONNACK\"];\n\ts72 -> s33 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s31 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s18 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s72 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s72 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s33 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s31 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s72 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s72 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s72 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s128 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s129 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s30 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s72 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s72 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s72 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s72 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s72 [label=\"c0_publish / c3_Empty__c4_Empty__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s72 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s72 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s72 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts72 -> s72 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s49 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s110 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_CONCLOSED\"];\n\ts73 -> s120 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONNACK\"];\n\ts73 -> s9 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s32 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s49 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s73 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s73 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s9 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s32 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s128 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s73 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s73 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s73 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s130 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s73 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s73 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s73 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s30 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s73 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s73 [label=\"c0_publish / c3_PUBLISH__c4_Empty__c0_PUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s73 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s73 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s73 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts73 -> s73 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s50 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s111 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_CONCLOSED\"];\n\ts74 -> s121 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONNACK\"];\n\ts74 -> s34 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s8 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s50 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s74 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s74 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s34 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s8 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s129 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s74 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s74 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s130 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s74 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s74 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s74 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s74 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s74 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s30 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s74 [label=\"c0_publish / c3_Empty__c4_PUBLISH__c0_PUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s74 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s74 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s74 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts74 -> s74 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s19 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s113 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONNACK__c2_CONCLOSED\"];\n\ts75 -> s123 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONNACK\"];\n\ts75 -> s10 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s128 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s19 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s75 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s75 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s10 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s75 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s75 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s75 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s75 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s75 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s75 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s32 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s75 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s75 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s31 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s75 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s75 [label=\"c0_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s75 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s75 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s75 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts75 -> s75 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s20 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s116 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONNACK__c2_CONCLOSED\"];\n\ts76 -> s126 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONNACK\"];\n\ts76 -> s129 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s10 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s20 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s76 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s76 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s76 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s10 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s76 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s76 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s76 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s76 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s76 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s34 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s76 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s76 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s76 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s33 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s76 [label=\"c0_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s76 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s76 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s76 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts76 -> s76 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts77 -> s96 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts77 -> s44 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts77 -> s39 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts77 -> s36 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts77 -> s35 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts77 -> s77 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts77 -> s44 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts77 -> s39 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts77 -> s36 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts77 -> s35 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts77 -> s77 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts77 -> s131 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts77 -> s132 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts77 -> s133 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts77 -> s134 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts77 -> s77 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts77 -> s77 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts77 -> s77 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts77 -> s77 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts77 -> s77 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts77 -> s77 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts77 -> s77 [label=\"c1_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_PUBACK__c2_Empty\"];\n\ts77 -> s77 [label=\"c2_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_PUBACK\"];\n\ts77 -> s77 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts77 -> s77 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts78 -> s98 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts78 -> s15 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts78 -> s40 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts78 -> s37 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts78 -> s131 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts78 -> s78 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts78 -> s15 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts78 -> s40 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts78 -> s37 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts78 -> s78 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts78 -> s78 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts78 -> s78 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts78 -> s135 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts78 -> s136 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts78 -> s78 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts78 -> s78 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts78 -> s35 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts78 -> s78 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts78 -> s78 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts78 -> s78 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts78 -> s78 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts78 -> s78 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts78 -> s78 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_PUBLISH__c2_PUBACK\"];\n\ts78 -> s78 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_PUBLISH__c2_Empty\"];\n\ts78 -> s78 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts79 -> s99 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts79 -> s45 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts79 -> s12 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts79 -> s38 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts79 -> s132 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts79 -> s79 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts79 -> s45 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts79 -> s12 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts79 -> s38 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts79 -> s79 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts79 -> s79 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts79 -> s135 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts79 -> s79 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts79 -> s137 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts79 -> s79 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts79 -> s79 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts79 -> s79 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts79 -> s35 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts79 -> s79 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts79 -> s79 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts79 -> s79 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts79 -> s79 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_PUBACK__c2_PUBLISH\"];\n\ts79 -> s79 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts79 -> s79 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_PUBLISH\"];\n\ts79 -> s79 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts80 -> s100 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts80 -> s46 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts80 -> s41 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts80 -> s11 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts80 -> s133 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts80 -> s80 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts80 -> s46 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts80 -> s41 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts80 -> s11 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts80 -> s80 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts80 -> s80 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts80 -> s136 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts80 -> s137 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts80 -> s80 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts80 -> s80 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts80 -> s80 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts80 -> s80 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts80 -> s80 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts80 -> s35 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts80 -> s80 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts80 -> s80 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts80 -> s80 [label=\"c1_publish / c3_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_PUBACK__c2_Empty\"];\n\ts80 -> s80 [label=\"c2_publish / c3_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_PUBACK\"];\n\ts80 -> s80 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts80 -> s80 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts81 -> s102 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts81 -> s16 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts81 -> s42 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts81 -> s131 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts81 -> s37 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts81 -> s81 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts81 -> s16 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts81 -> s42 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts81 -> s81 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts81 -> s37 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts81 -> s81 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts81 -> s81 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts81 -> s138 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts81 -> s81 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts81 -> s139 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts81 -> s81 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts81 -> s36 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts81 -> s81 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts81 -> s81 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts81 -> s81 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts81 -> s81 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts81 -> s81 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts81 -> s81 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_PUBLISH__c2_PUBACK\"];\n\ts81 -> s81 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts81 -> s81 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_CONCLOSED__c1_PUBLISH__c2_Empty\"];\n\ts82 -> s103 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts82 -> s47 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts82 -> s13 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts82 -> s132 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts82 -> s38 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts82 -> s82 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts82 -> s47 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts82 -> s13 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts82 -> s82 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts82 -> s38 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts82 -> s82 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts82 -> s138 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts82 -> s82 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts82 -> s82 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts82 -> s140 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts82 -> s82 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts82 -> s82 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts82 -> s36 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts82 -> s82 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts82 -> s82 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts82 -> s82 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts82 -> s82 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_PUBACK__c2_PUBLISH\"];\n\ts82 -> s82 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts82 -> s82 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts82 -> s82 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_CONCLOSED__c1_Empty__c2_PUBLISH\"];\n\ts83 -> s104 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts83 -> s48 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts83 -> s43 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts83 -> s134 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts83 -> s11 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts83 -> s83 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts83 -> s48 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts83 -> s43 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts83 -> s83 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts83 -> s11 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts83 -> s83 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts83 -> s139 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts83 -> s140 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts83 -> s83 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts83 -> s83 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts83 -> s83 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts83 -> s83 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts83 -> s83 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts83 -> s83 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts83 -> s36 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts83 -> s83 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts83 -> s83 [label=\"c1_publish / c3_CONCLOSED__c4_PUBLISH__c0_CONCLOSED__c1_PUBACK__c2_Empty\"];\n\ts83 -> s83 [label=\"c2_publish / c3_CONCLOSED__c4_PUBLISH__c0_CONCLOSED__c1_Empty__c2_PUBACK\"];\n\ts83 -> s83 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts83 -> s83 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts84 -> s107 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts84 -> s17 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts84 -> s14 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts84 -> s135 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts84 -> s138 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts84 -> s84 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts84 -> s17 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts84 -> s14 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts84 -> s84 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts84 -> s84 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts84 -> s84 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts84 -> s84 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts84 -> s84 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts84 -> s84 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts84 -> s84 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts84 -> s84 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts84 -> s38 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts84 -> s37 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts84 -> s84 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts84 -> s84 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts84 -> s84 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts84 -> s84 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts84 -> s84 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts84 -> s84 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts84 -> s84 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts85 -> s109 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_CONCLOSED\"];\n\ts85 -> s18 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts85 -> s131 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONNACK\"];\n\ts85 -> s42 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts85 -> s40 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts85 -> s85 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts85 -> s18 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts85 -> s85 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts85 -> s42 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts85 -> s40 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts85 -> s85 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts85 -> s85 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_CONCLOSED\"];\n\ts85 -> s85 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts85 -> s141 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts85 -> s142 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts85 -> s85 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts85 -> s39 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts85 -> s85 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts85 -> s85 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts85 -> s85 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts85 -> s85 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts85 -> s85 [label=\"c1_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts85 -> s85 [label=\"c2_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts85 -> s85 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_CONCLOSED__c1_PUBLISH__c2_CONCLOSED\"];\n\ts85 -> s85 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_CONCLOSED__c1_PUBLISH__c2_CONCLOSED\"];\n\ts86 -> s110 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_CONCLOSED\"];\n\ts86 -> s49 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts86 -> s133 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONNACK\"];\n\ts86 -> s13 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts86 -> s41 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts86 -> s86 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts86 -> s49 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts86 -> s86 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts86 -> s13 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts86 -> s41 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts86 -> s86 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts86 -> s141 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_CONCLOSED\"];\n\ts86 -> s86 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts86 -> s86 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts86 -> s143 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts86 -> s86 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts86 -> s86 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts86 -> s86 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts86 -> s39 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts86 -> s86 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts86 -> s86 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts86 -> s86 [label=\"c1_publish / c3_PUBLISH__c4_Empty__c0_CONCLOSED__c1_PUBACK__c2_CONCLOSED\"];\n\ts86 -> s86 [label=\"c2_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts86 -> s86 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts86 -> s86 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts87 -> s111 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_CONCLOSED\"];\n\ts87 -> s50 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts87 -> s134 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONNACK\"];\n\ts87 -> s43 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts87 -> s12 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts87 -> s87 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts87 -> s50 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts87 -> s87 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts87 -> s43 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts87 -> s12 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts87 -> s87 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts87 -> s142 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_CONCLOSED\"];\n\ts87 -> s87 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts87 -> s143 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts87 -> s87 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts87 -> s87 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts87 -> s87 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts87 -> s87 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts87 -> s87 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts87 -> s39 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts87 -> s87 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts87 -> s87 [label=\"c1_publish / c3_Empty__c4_PUBLISH__c0_CONCLOSED__c1_PUBACK__c2_CONCLOSED\"];\n\ts87 -> s87 [label=\"c2_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts87 -> s87 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts87 -> s87 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts88 -> s114 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONNACK__c1_Empty__c2_CONCLOSED\"];\n\ts88 -> s19 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts88 -> s136 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONNACK\"];\n\ts88 -> s14 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts88 -> s141 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts88 -> s88 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts88 -> s19 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts88 -> s88 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts88 -> s14 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts88 -> s88 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts88 -> s88 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts88 -> s88 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_SUBACK__c2_CONCLOSED\"];\n\ts88 -> s88 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts88 -> s88 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts88 -> s88 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts88 -> s88 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts88 -> s41 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts88 -> s88 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts88 -> s40 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts88 -> s88 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts88 -> s88 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts88 -> s88 [label=\"c1_publish / c3_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts88 -> s88 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts88 -> s88 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_PUBLISH__c2_CONCLOSED\"];\n\ts88 -> s88 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts89 -> s117 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONNACK__c1_Empty__c2_CONCLOSED\"];\n\ts89 -> s20 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts89 -> s139 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONNACK\"];\n\ts89 -> s142 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts89 -> s14 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts89 -> s89 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts89 -> s20 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts89 -> s89 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts89 -> s89 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts89 -> s14 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts89 -> s89 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts89 -> s89 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_CONCLOSED\"];\n\ts89 -> s89 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts89 -> s89 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts89 -> s89 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts89 -> s89 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts89 -> s43 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts89 -> s89 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts89 -> s89 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts89 -> s42 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts89 -> s89 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts89 -> s89 [label=\"c1_publish / c3_CONCLOSED__c4_PUBLISH__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts89 -> s89 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts89 -> s89 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts89 -> s89 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_CONCLOSED\"];\n\ts90 -> s119 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_CONCLOSED__c2_Empty\"];\n\ts90 -> s132 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONNACK__c2_Empty\"];\n\ts90 -> s18 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts90 -> s47 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts90 -> s45 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts90 -> s90 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts90 -> s90 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts90 -> s18 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts90 -> s47 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts90 -> s45 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts90 -> s90 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts90 -> s90 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts90 -> s90 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_SUBACK\"];\n\ts90 -> s144 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts90 -> s145 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts90 -> s90 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts90 -> s90 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts90 -> s44 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts90 -> s90 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts90 -> s90 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts90 -> s90 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts90 -> s90 [label=\"c1_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts90 -> s90 [label=\"c2_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts90 -> s90 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_PUBLISH\"];\n\ts90 -> s90 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_PUBLISH\"];\n\ts91 -> s120 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_CONCLOSED__c2_Empty\"];\n\ts91 -> s133 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONNACK__c2_Empty\"];\n\ts91 -> s49 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts91 -> s16 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts91 -> s46 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts91 -> s91 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts91 -> s91 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts91 -> s49 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts91 -> s16 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts91 -> s46 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts91 -> s91 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts91 -> s91 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts91 -> s144 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_SUBACK\"];\n\ts91 -> s91 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts91 -> s146 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts91 -> s91 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts91 -> s91 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts91 -> s91 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts91 -> s44 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts91 -> s91 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts91 -> s91 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts91 -> s91 [label=\"c1_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts91 -> s91 [label=\"c2_publish / c3_PUBLISH__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_PUBACK\"];\n\ts91 -> s91 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts91 -> s91 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts92 -> s121 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_CONCLOSED__c2_Empty\"];\n\ts92 -> s134 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONNACK__c2_Empty\"];\n\ts92 -> s50 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts92 -> s48 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts92 -> s15 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts92 -> s92 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts92 -> s92 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts92 -> s50 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts92 -> s48 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts92 -> s15 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts92 -> s92 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts92 -> s92 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts92 -> s145 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_SUBACK\"];\n\ts92 -> s146 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts92 -> s92 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts92 -> s92 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts92 -> s92 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts92 -> s92 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts92 -> s92 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts92 -> s44 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts92 -> s92 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts92 -> s92 [label=\"c1_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts92 -> s92 [label=\"c2_publish / c3_Empty__c4_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_PUBACK\"];\n\ts92 -> s92 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts92 -> s92 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts93 -> s124 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONNACK__c1_CONCLOSED__c2_Empty\"];\n\ts93 -> s137 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONNACK__c2_Empty\"];\n\ts93 -> s19 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts93 -> s17 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts93 -> s144 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts93 -> s93 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts93 -> s93 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts93 -> s19 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts93 -> s17 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts93 -> s93 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts93 -> s93 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts93 -> s93 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts93 -> s93 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_SUBACK\"];\n\ts93 -> s93 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts93 -> s93 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts93 -> s93 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts93 -> s93 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts93 -> s46 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts93 -> s45 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts93 -> s93 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts93 -> s93 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts93 -> s93 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts93 -> s93 [label=\"c2_publish / c3_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts93 -> s93 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_PUBLISH\"];\n\ts93 -> s93 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts94 -> s127 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONNACK__c1_CONCLOSED__c2_Empty\"];\n\ts94 -> s140 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONNACK__c2_Empty\"];\n\ts94 -> s20 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts94 -> s145 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts94 -> s17 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts94 -> s94 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts94 -> s94 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts94 -> s20 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts94 -> s94 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts94 -> s17 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts94 -> s94 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts94 -> s94 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts94 -> s94 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_SUBACK\"];\n\ts94 -> s94 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts94 -> s94 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts94 -> s94 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts94 -> s94 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts94 -> s48 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts94 -> s94 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts94 -> s47 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts94 -> s94 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts94 -> s94 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts94 -> s94 [label=\"c2_publish / c3_CONCLOSED__c4_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts94 -> s94 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts94 -> s94 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_PUBLISH\"];\n\ts95 -> s130 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s143 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONNACK__c2_CONCLOSED\"];\n\ts95 -> s146 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONNACK\"];\n\ts95 -> s20 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s19 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s95 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s95 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s95 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s20 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s19 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s95 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s95 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s95 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s95 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s95 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s95 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s95 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s95 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s50 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s49 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s95 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s95 [label=\"c1_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s95 [label=\"c2_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s95 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts95 -> s95 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts96 -> s77 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts96 -> s64 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts96 -> s56 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts96 -> s52 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts96 -> s51 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts96 -> s77 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts96 -> s64 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts96 -> s56 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts96 -> s52 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts96 -> s51 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts96 -> s147 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts96 -> s148 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts96 -> s149 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts96 -> s150 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts96 -> s151 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts96 -> s96 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts96 -> s96 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts96 -> s96 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts96 -> s96 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts96 -> s96 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts96 -> s96 [label=\"c0_publish / c3_Empty__c4_Empty__c0_PUBACK__c1_Empty__c2_Empty\"];\n\ts96 -> s96 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_PUBACK__c2_Empty\"];\n\ts96 -> s96 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_PUBACK\"];\n\ts96 -> s96 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts96 -> s96 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts97 -> s35 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts97 -> s65 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts97 -> s57 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts97 -> s53 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts97 -> s147 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts97 -> s35 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts97 -> s65 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts97 -> s57 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts97 -> s53 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts97 -> s97 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts97 -> s97 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts97 -> s152 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts97 -> s153 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts97 -> s154 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts97 -> s97 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts97 -> s51 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts97 -> s97 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts97 -> s97 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts97 -> s97 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts97 -> s97 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts97 -> s97 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_Empty__c2_Empty\"];\n\ts97 -> s97 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_PUBLISH__c1_PUBACK__c2_Empty\"];\n\ts97 -> s97 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_PUBLISH__c1_Empty__c2_PUBACK\"];\n\ts97 -> s97 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_PUBLISH__c1_Empty__c2_Empty\"];\n\ts97 -> s97 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts98 -> s78 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts98 -> s26 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts98 -> s58 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts98 -> s54 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts98 -> s148 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts98 -> s78 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts98 -> s26 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts98 -> s58 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts98 -> s54 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts98 -> s98 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts98 -> s152 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts98 -> s98 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts98 -> s155 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts98 -> s156 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts98 -> s98 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts98 -> s98 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts98 -> s51 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts98 -> s98 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts98 -> s98 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts98 -> s98 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts98 -> s98 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_PUBACK__c1_PUBLISH__c2_Empty\"];\n\ts98 -> s98 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts98 -> s98 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_PUBLISH__c2_PUBACK\"];\n\ts98 -> s98 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_Empty__c1_PUBLISH__c2_Empty\"];\n\ts98 -> s98 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts99 -> s79 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts99 -> s66 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts99 -> s22 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts99 -> s55 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts99 -> s149 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts99 -> s79 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts99 -> s66 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts99 -> s22 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts99 -> s55 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts99 -> s99 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts99 -> s153 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts99 -> s155 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts99 -> s99 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts99 -> s157 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts99 -> s99 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts99 -> s99 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts99 -> s99 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts99 -> s51 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts99 -> s99 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts99 -> s99 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts99 -> s99 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_PUBACK__c1_Empty__c2_PUBLISH\"];\n\ts99 -> s99 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_PUBACK__c2_PUBLISH\"];\n\ts99 -> s99 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts99 -> s99 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_PUBLISH\"];\n\ts99 -> s99 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts100 -> s80 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts100 -> s67 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts100 -> s59 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts100 -> s21 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts100 -> s150 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts100 -> s80 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts100 -> s67 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts100 -> s59 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts100 -> s21 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts100 -> s100 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts100 -> s154 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts100 -> s156 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts100 -> s157 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts100 -> s100 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts100 -> s100 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts100 -> s100 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts100 -> s100 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts100 -> s100 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts100 -> s51 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts100 -> s100 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts100 -> s100 [label=\"c0_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBACK__c1_Empty__c2_Empty\"];\n\ts100 -> s100 [label=\"c1_publish / c3_PUBLISH__c4_CONCLOSED__c0_Empty__c1_PUBACK__c2_Empty\"];\n\ts100 -> s100 [label=\"c2_publish / c3_PUBLISH__c4_CONCLOSED__c0_Empty__c1_Empty__c2_PUBACK\"];\n\ts100 -> s100 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts100 -> s100 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts101 -> s36 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts101 -> s68 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts101 -> s60 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts101 -> s147 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts101 -> s53 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts101 -> s36 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts101 -> s68 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts101 -> s60 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts101 -> s101 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts101 -> s53 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts101 -> s101 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts101 -> s158 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts101 -> s159 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts101 -> s101 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts101 -> s160 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts101 -> s52 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts101 -> s101 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts101 -> s101 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts101 -> s101 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts101 -> s101 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts101 -> s101 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_PUBACK_PUBLISH__c1_Empty__c2_Empty\"];\n\ts101 -> s101 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_PUBLISH__c1_PUBACK__c2_Empty\"];\n\ts101 -> s101 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_PUBLISH__c1_Empty__c2_PUBACK\"];\n\ts101 -> s101 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts101 -> s101 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_PUBLISH__c1_Empty__c2_Empty\"];\n\ts102 -> s81 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts102 -> s27 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts102 -> s61 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts102 -> s148 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts102 -> s54 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts102 -> s81 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts102 -> s27 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts102 -> s61 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts102 -> s102 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts102 -> s54 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts102 -> s158 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts102 -> s102 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts102 -> s161 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts102 -> s102 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts102 -> s162 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts102 -> s102 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts102 -> s52 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts102 -> s102 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts102 -> s102 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts102 -> s102 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts102 -> s102 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_PUBACK__c1_PUBLISH__c2_Empty\"];\n\ts102 -> s102 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts102 -> s102 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_PUBLISH__c2_PUBACK\"];\n\ts102 -> s102 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts102 -> s102 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_Empty__c1_PUBLISH__c2_Empty\"];\n\ts103 -> s82 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts103 -> s69 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts103 -> s23 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts103 -> s149 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts103 -> s55 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts103 -> s82 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts103 -> s69 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts103 -> s23 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts103 -> s103 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts103 -> s55 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts103 -> s159 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts103 -> s161 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts103 -> s103 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts103 -> s103 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts103 -> s163 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts103 -> s103 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts103 -> s103 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts103 -> s52 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts103 -> s103 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts103 -> s103 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts103 -> s103 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_PUBACK__c1_Empty__c2_PUBLISH\"];\n\ts103 -> s103 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_PUBACK__c2_PUBLISH\"];\n\ts103 -> s103 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts103 -> s103 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts103 -> s103 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_Empty__c1_Empty__c2_PUBLISH\"];\n\ts104 -> s83 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts104 -> s70 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts104 -> s62 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts104 -> s151 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts104 -> s21 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts104 -> s83 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts104 -> s70 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts104 -> s62 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts104 -> s104 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts104 -> s21 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts104 -> s160 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts104 -> s162 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts104 -> s163 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts104 -> s104 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts104 -> s104 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts104 -> s104 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts104 -> s104 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts104 -> s104 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts104 -> s104 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts104 -> s52 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts104 -> s104 [label=\"c0_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBACK__c1_Empty__c2_Empty\"];\n\ts104 -> s104 [label=\"c1_publish / c3_CONCLOSED__c4_PUBLISH__c0_Empty__c1_PUBACK__c2_Empty\"];\n\ts104 -> s104 [label=\"c2_publish / c3_CONCLOSED__c4_PUBLISH__c0_Empty__c1_Empty__c2_PUBACK\"];\n\ts104 -> s104 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts104 -> s104 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_Empty__c1_Empty__c2_Empty\"];\n\ts105 -> s37 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts105 -> s28 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts105 -> s63 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts105 -> s152 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts105 -> s158 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts105 -> s37 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts105 -> s28 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts105 -> s63 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts105 -> s105 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts105 -> s105 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts105 -> s105 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts105 -> s105 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts105 -> s164 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts105 -> s105 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts105 -> s105 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts105 -> s54 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts105 -> s53 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts105 -> s105 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts105 -> s105 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts105 -> s105 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts105 -> s105 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts105 -> s105 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts105 -> s105 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBLISH__c1_PUBLISH__c2_PUBACK\"];\n\ts105 -> s105 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts105 -> s105 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts106 -> s38 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts106 -> s71 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts106 -> s24 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts106 -> s153 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts106 -> s159 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts106 -> s38 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts106 -> s71 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts106 -> s24 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts106 -> s106 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts106 -> s106 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts106 -> s106 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts106 -> s164 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts106 -> s106 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts106 -> s106 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts106 -> s106 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts106 -> s55 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts106 -> s106 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts106 -> s53 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts106 -> s106 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts106 -> s106 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts106 -> s106 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts106 -> s106 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBLISH__c1_PUBACK__c2_PUBLISH\"];\n\ts106 -> s106 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBLISH__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts106 -> s106 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts106 -> s106 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts107 -> s84 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts107 -> s29 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts107 -> s25 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts107 -> s155 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts107 -> s161 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts107 -> s84 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts107 -> s29 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts107 -> s25 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts107 -> s107 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts107 -> s107 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts107 -> s164 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts107 -> s107 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts107 -> s107 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts107 -> s107 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts107 -> s107 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts107 -> s107 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts107 -> s55 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts107 -> s54 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts107 -> s107 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts107 -> s107 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts107 -> s107 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBACK__c1_PUBLISH__c2_PUBLISH\"];\n\ts107 -> s107 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts107 -> s107 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts107 -> s107 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts107 -> s107 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts108 -> s39 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts108 -> s72 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts108 -> s147 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts108 -> s60 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts108 -> s57 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts108 -> s39 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts108 -> s72 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts108 -> s108 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts108 -> s60 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts108 -> s57 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts108 -> s108 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts108 -> s165 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts108 -> s108 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts108 -> s166 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts108 -> s167 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts108 -> s56 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts108 -> s108 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts108 -> s108 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts108 -> s108 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts108 -> s108 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts108 -> s108 [label=\"c0_publish / c3_Empty__c4_Empty__c0_PUBACK_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts108 -> s108 [label=\"c1_publish / c3_Empty__c4_Empty__c0_PUBLISH__c1_PUBACK__c2_CONCLOSED\"];\n\ts108 -> s108 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts108 -> s108 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts108 -> s108 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts109 -> s85 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts109 -> s30 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts109 -> s148 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts109 -> s61 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts109 -> s58 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts109 -> s85 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts109 -> s30 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts109 -> s109 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts109 -> s61 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts109 -> s58 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts109 -> s165 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts109 -> s109 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts109 -> s109 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts109 -> s168 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts109 -> s169 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts109 -> s109 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts109 -> s56 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts109 -> s109 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts109 -> s109 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts109 -> s109 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts109 -> s109 [label=\"c0_publish / c3_Empty__c4_Empty__c0_PUBACK__c1_PUBLISH__c2_CONCLOSED\"];\n\ts109 -> s109 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts109 -> s109 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts109 -> s109 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_Empty__c1_PUBLISH__c2_CONCLOSED\"];\n\ts109 -> s109 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_Empty__c1_PUBLISH__c2_CONCLOSED\"];\n\ts110 -> s86 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts110 -> s73 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts110 -> s150 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts110 -> s23 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts110 -> s59 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts110 -> s86 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts110 -> s73 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts110 -> s110 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts110 -> s23 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts110 -> s59 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts110 -> s166 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts110 -> s168 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts110 -> s110 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts110 -> s110 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts110 -> s170 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts110 -> s110 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts110 -> s110 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts110 -> s110 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts110 -> s56 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts110 -> s110 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts110 -> s110 [label=\"c0_publish / c3_PUBLISH__c4_Empty__c0_PUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts110 -> s110 [label=\"c1_publish / c3_PUBLISH__c4_Empty__c0_Empty__c1_PUBACK__c2_CONCLOSED\"];\n\ts110 -> s110 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts110 -> s110 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts110 -> s110 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts111 -> s87 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts111 -> s74 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts111 -> s151 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts111 -> s62 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts111 -> s22 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts111 -> s87 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts111 -> s74 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts111 -> s111 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts111 -> s62 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts111 -> s22 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts111 -> s167 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts111 -> s169 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts111 -> s111 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts111 -> s170 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts111 -> s111 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts111 -> s111 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts111 -> s111 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts111 -> s111 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts111 -> s111 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts111 -> s56 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts111 -> s111 [label=\"c0_publish / c3_Empty__c4_PUBLISH__c0_PUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts111 -> s111 [label=\"c1_publish / c3_Empty__c4_PUBLISH__c0_Empty__c1_PUBACK__c2_CONCLOSED\"];\n\ts111 -> s111 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts111 -> s111 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts111 -> s111 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts112 -> s40 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts112 -> s31 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts112 -> s152 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts112 -> s63 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts112 -> s165 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts112 -> s40 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts112 -> s31 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts112 -> s112 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts112 -> s63 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts112 -> s112 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts112 -> s112 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts112 -> s112 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts112 -> s112 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts112 -> s171 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts112 -> s112 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts112 -> s58 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts112 -> s57 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts112 -> s112 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts112 -> s112 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts112 -> s112 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts112 -> s112 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts112 -> s112 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts112 -> s112 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts112 -> s112 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts112 -> s112 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts113 -> s41 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts113 -> s75 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts113 -> s154 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts113 -> s24 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts113 -> s166 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts113 -> s41 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts113 -> s75 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts113 -> s113 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts113 -> s24 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts113 -> s113 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts113 -> s113 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts113 -> s171 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts113 -> s113 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts113 -> s113 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts113 -> s113 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts113 -> s59 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts113 -> s113 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts113 -> s113 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts113 -> s57 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts113 -> s113 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts113 -> s113 [label=\"c0_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts113 -> s113 [label=\"c1_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_PUBACK__c2_CONCLOSED\"];\n\ts113 -> s113 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts113 -> s113 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts113 -> s113 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts114 -> s88 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts114 -> s32 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts114 -> s156 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts114 -> s25 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts114 -> s168 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts114 -> s88 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts114 -> s32 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts114 -> s114 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts114 -> s25 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts114 -> s114 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts114 -> s171 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts114 -> s114 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts114 -> s114 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts114 -> s114 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts114 -> s114 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts114 -> s114 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts114 -> s59 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts114 -> s114 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts114 -> s58 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts114 -> s114 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts114 -> s114 [label=\"c0_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBACK__c1_PUBLISH__c2_CONCLOSED\"];\n\ts114 -> s114 [label=\"c1_publish / c3_PUBLISH__c4_CONCLOSED__c0_Empty__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts114 -> s114 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts114 -> s114 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_Empty__c1_PUBLISH__c2_CONCLOSED\"];\n\ts114 -> s114 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts115 -> s42 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts115 -> s33 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts115 -> s158 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts115 -> s165 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts115 -> s63 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts115 -> s42 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts115 -> s33 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts115 -> s115 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts115 -> s115 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts115 -> s63 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts115 -> s115 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts115 -> s115 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts115 -> s115 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts115 -> s115 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts115 -> s172 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts115 -> s61 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts115 -> s60 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts115 -> s115 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts115 -> s115 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts115 -> s115 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts115 -> s115 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts115 -> s115 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts115 -> s115 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts115 -> s115 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts115 -> s115 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts116 -> s43 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts116 -> s76 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts116 -> s160 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts116 -> s167 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts116 -> s24 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts116 -> s43 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts116 -> s76 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts116 -> s116 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts116 -> s116 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts116 -> s24 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts116 -> s116 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts116 -> s172 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts116 -> s116 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts116 -> s116 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts116 -> s116 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts116 -> s62 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts116 -> s116 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts116 -> s116 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts116 -> s116 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts116 -> s60 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts116 -> s116 [label=\"c0_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts116 -> s116 [label=\"c1_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBLISH__c1_PUBACK__c2_CONCLOSED\"];\n\ts116 -> s116 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts116 -> s116 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts116 -> s116 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts117 -> s89 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts117 -> s34 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts117 -> s162 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts117 -> s169 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts117 -> s25 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts117 -> s89 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts117 -> s34 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts117 -> s117 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts117 -> s117 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts117 -> s25 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts117 -> s172 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts117 -> s117 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts117 -> s117 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts117 -> s117 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts117 -> s117 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts117 -> s117 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts117 -> s62 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts117 -> s117 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts117 -> s117 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts117 -> s61 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts117 -> s117 [label=\"c0_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBACK__c1_PUBLISH__c2_CONCLOSED\"];\n\ts117 -> s117 [label=\"c1_publish / c3_CONCLOSED__c4_PUBLISH__c0_Empty__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts117 -> s117 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts117 -> s117 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts117 -> s117 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_Empty__c1_PUBLISH__c2_CONCLOSED\"];\n\ts118 -> s44 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts118 -> s147 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts118 -> s72 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts118 -> s68 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts118 -> s65 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts118 -> s44 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts118 -> s118 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts118 -> s72 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts118 -> s68 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts118 -> s65 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts118 -> s118 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts118 -> s118 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts118 -> s173 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts118 -> s174 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts118 -> s175 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts118 -> s64 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts118 -> s118 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts118 -> s118 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts118 -> s118 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts118 -> s118 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts118 -> s118 [label=\"c0_publish / c3_Empty__c4_Empty__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts118 -> s118 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts118 -> s118 [label=\"c2_publish / c3_Empty__c4_Empty__c0_PUBLISH__c1_CONCLOSED__c2_PUBACK\"];\n\ts118 -> s118 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts118 -> s118 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts119 -> s90 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts119 -> s149 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts119 -> s30 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts119 -> s69 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts119 -> s66 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts119 -> s90 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts119 -> s119 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts119 -> s30 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts119 -> s69 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts119 -> s66 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts119 -> s173 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts119 -> s119 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts119 -> s119 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts119 -> s176 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts119 -> s177 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts119 -> s119 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts119 -> s119 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts119 -> s64 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts119 -> s119 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts119 -> s119 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts119 -> s119 [label=\"c0_publish / c3_Empty__c4_Empty__c0_PUBACK__c1_CONCLOSED__c2_PUBLISH\"];\n\ts119 -> s119 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts119 -> s119 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts119 -> s119 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_PUBLISH\"];\n\ts119 -> s119 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_Empty__c1_CONCLOSED__c2_PUBLISH\"];\n\ts120 -> s91 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts120 -> s150 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts120 -> s73 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts120 -> s27 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts120 -> s67 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts120 -> s91 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts120 -> s120 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts120 -> s73 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts120 -> s27 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts120 -> s67 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts120 -> s174 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts120 -> s120 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts120 -> s176 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts120 -> s120 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts120 -> s178 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts120 -> s120 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts120 -> s120 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts120 -> s120 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts120 -> s64 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts120 -> s120 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts120 -> s120 [label=\"c0_publish / c3_PUBLISH__c4_Empty__c0_PUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts120 -> s120 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts120 -> s120 [label=\"c2_publish / c3_PUBLISH__c4_Empty__c0_Empty__c1_CONCLOSED__c2_PUBACK\"];\n\ts120 -> s120 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts120 -> s120 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts121 -> s92 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts121 -> s151 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts121 -> s74 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts121 -> s70 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts121 -> s26 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts121 -> s92 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts121 -> s121 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts121 -> s74 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts121 -> s70 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts121 -> s26 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts121 -> s175 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts121 -> s121 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts121 -> s177 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts121 -> s178 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts121 -> s121 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts121 -> s121 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts121 -> s121 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts121 -> s121 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts121 -> s121 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts121 -> s64 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts121 -> s121 [label=\"c0_publish / c3_Empty__c4_PUBLISH__c0_PUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts121 -> s121 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts121 -> s121 [label=\"c2_publish / c3_Empty__c4_PUBLISH__c0_Empty__c1_CONCLOSED__c2_PUBACK\"];\n\ts121 -> s121 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts121 -> s121 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts122 -> s45 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts122 -> s153 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts122 -> s31 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts122 -> s71 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts122 -> s173 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts122 -> s45 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts122 -> s122 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts122 -> s31 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts122 -> s71 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts122 -> s122 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts122 -> s122 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts122 -> s122 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts122 -> s122 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts122 -> s179 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts122 -> s122 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts122 -> s66 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts122 -> s122 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts122 -> s65 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts122 -> s122 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts122 -> s122 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts122 -> s122 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts122 -> s122 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts122 -> s122 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_PUBLISH__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts122 -> s122 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts122 -> s122 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts123 -> s46 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts123 -> s154 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts123 -> s75 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts123 -> s28 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts123 -> s174 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts123 -> s46 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts123 -> s123 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts123 -> s75 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts123 -> s28 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts123 -> s123 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts123 -> s123 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts123 -> s123 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts123 -> s179 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts123 -> s123 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts123 -> s123 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts123 -> s67 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts123 -> s123 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts123 -> s123 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts123 -> s65 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts123 -> s123 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts123 -> s123 [label=\"c0_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts123 -> s123 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts123 -> s123 [label=\"c2_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_CONCLOSED__c2_PUBACK\"];\n\ts123 -> s123 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts123 -> s123 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts124 -> s93 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts124 -> s157 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts124 -> s32 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts124 -> s29 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts124 -> s176 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts124 -> s93 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts124 -> s124 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts124 -> s32 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts124 -> s29 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts124 -> s124 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts124 -> s179 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts124 -> s124 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts124 -> s124 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts124 -> s124 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts124 -> s124 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts124 -> s124 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts124 -> s124 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts124 -> s67 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts124 -> s66 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts124 -> s124 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts124 -> s124 [label=\"c0_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBACK__c1_CONCLOSED__c2_PUBLISH\"];\n\ts124 -> s124 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts124 -> s124 [label=\"c2_publish / c3_PUBLISH__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts124 -> s124 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_PUBLISH\"];\n\ts124 -> s124 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts125 -> s47 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts125 -> s159 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts125 -> s33 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts125 -> s173 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts125 -> s71 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts125 -> s47 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts125 -> s125 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts125 -> s33 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts125 -> s125 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts125 -> s71 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts125 -> s125 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts125 -> s125 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts125 -> s125 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts125 -> s125 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts125 -> s180 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts125 -> s69 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts125 -> s125 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts125 -> s68 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts125 -> s125 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts125 -> s125 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts125 -> s125 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts125 -> s125 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts125 -> s125 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_PUBLISH__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts125 -> s125 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts125 -> s125 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts126 -> s48 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts126 -> s160 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts126 -> s76 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts126 -> s175 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts126 -> s28 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts126 -> s48 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts126 -> s126 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts126 -> s76 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts126 -> s126 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts126 -> s28 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts126 -> s126 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts126 -> s126 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts126 -> s180 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts126 -> s126 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts126 -> s126 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts126 -> s70 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts126 -> s126 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts126 -> s126 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts126 -> s126 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts126 -> s68 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts126 -> s126 [label=\"c0_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts126 -> s126 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts126 -> s126 [label=\"c2_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_PUBACK\"];\n\ts126 -> s126 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts126 -> s126 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts127 -> s94 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts127 -> s163 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts127 -> s34 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts127 -> s177 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts127 -> s29 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts127 -> s94 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts127 -> s127 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts127 -> s34 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts127 -> s127 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts127 -> s29 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts127 -> s180 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts127 -> s127 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts127 -> s127 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts127 -> s127 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts127 -> s127 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts127 -> s127 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts127 -> s127 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts127 -> s70 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts127 -> s127 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts127 -> s69 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts127 -> s127 [label=\"c0_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBACK__c1_CONCLOSED__c2_PUBLISH\"];\n\ts127 -> s127 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts127 -> s127 [label=\"c2_publish / c3_CONCLOSED__c4_PUBLISH__c0_Empty__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts127 -> s127 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts127 -> s127 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_Empty__c1_CONCLOSED__c2_PUBLISH\"];\n\ts128 -> s49 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s166 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_CONCLOSED\"];\n\ts128 -> s174 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONNACK\"];\n\ts128 -> s33 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s75 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s49 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s128 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s128 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s33 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s75 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s128 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s128 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s128 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s128 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s181 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s73 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s128 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s128 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s72 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s128 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s128 [label=\"c0_publish / c3_PUBLISH__c4_Empty__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s128 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s128 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s128 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts128 -> s128 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s50 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s167 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_CONCLOSED\"];\n\ts129 -> s175 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONNACK\"];\n\ts129 -> s76 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s31 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s50 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s129 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s129 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s76 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s31 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s129 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s129 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s129 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s181 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s129 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s74 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s129 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s129 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s129 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s72 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s129 [label=\"c0_publish / c3_Empty__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s129 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s129 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s129 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts129 -> s129 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s95 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s170 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_CONCLOSED\"];\n\ts130 -> s178 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONNACK\"];\n\ts130 -> s34 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s32 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s95 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s130 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s130 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s34 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s32 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s181 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s130 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s130 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s130 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s130 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s130 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s130 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s130 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s74 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s73 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s130 [label=\"c0_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s130 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s130 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s130 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts130 -> s130 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts131 -> s148 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts131 -> s44 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts131 -> s85 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts131 -> s81 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts131 -> s78 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts131 -> s131 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts131 -> s44 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts131 -> s85 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts131 -> s81 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts131 -> s78 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts131 -> s131 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts131 -> s131 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts131 -> s182 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts131 -> s183 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts131 -> s184 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts131 -> s131 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts131 -> s77 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts131 -> s131 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts131 -> s131 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts131 -> s131 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts131 -> s131 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts131 -> s131 [label=\"c1_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts131 -> s131 [label=\"c2_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_PUBLISH__c2_PUBACK\"];\n\ts131 -> s131 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_CONCLOSED__c1_PUBLISH__c2_Empty\"];\n\ts131 -> s131 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_CONCLOSED__c1_PUBLISH__c2_Empty\"];\n\ts132 -> s149 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts132 -> s90 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts132 -> s39 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts132 -> s82 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts132 -> s79 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts132 -> s132 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts132 -> s90 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts132 -> s39 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts132 -> s82 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts132 -> s79 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts132 -> s132 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts132 -> s182 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts132 -> s132 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts132 -> s185 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts132 -> s186 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts132 -> s132 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts132 -> s132 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts132 -> s77 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts132 -> s132 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts132 -> s132 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts132 -> s132 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts132 -> s132 [label=\"c1_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_PUBACK__c2_PUBLISH\"];\n\ts132 -> s132 [label=\"c2_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts132 -> s132 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_PUBLISH\"];\n\ts132 -> s132 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_CONCLOSED__c1_Empty__c2_PUBLISH\"];\n\ts133 -> s150 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts133 -> s91 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts133 -> s86 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts133 -> s36 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts133 -> s80 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts133 -> s133 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts133 -> s91 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts133 -> s86 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts133 -> s36 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts133 -> s80 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts133 -> s133 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts133 -> s183 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts133 -> s185 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts133 -> s133 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts133 -> s187 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts133 -> s133 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts133 -> s133 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts133 -> s133 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts133 -> s77 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts133 -> s133 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts133 -> s133 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts133 -> s133 [label=\"c1_publish / c3_PUBLISH__c4_Empty__c0_CONCLOSED__c1_PUBACK__c2_Empty\"];\n\ts133 -> s133 [label=\"c2_publish / c3_PUBLISH__c4_Empty__c0_CONCLOSED__c1_Empty__c2_PUBACK\"];\n\ts133 -> s133 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts133 -> s133 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts134 -> s151 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts134 -> s92 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts134 -> s87 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts134 -> s83 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts134 -> s35 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts134 -> s134 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts134 -> s92 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts134 -> s87 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts134 -> s83 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts134 -> s35 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts134 -> s134 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts134 -> s184 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts134 -> s186 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts134 -> s187 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts134 -> s134 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts134 -> s134 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts134 -> s134 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts134 -> s134 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts134 -> s134 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts134 -> s77 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts134 -> s134 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts134 -> s134 [label=\"c1_publish / c3_Empty__c4_PUBLISH__c0_CONCLOSED__c1_PUBACK__c2_Empty\"];\n\ts134 -> s134 [label=\"c2_publish / c3_Empty__c4_PUBLISH__c0_CONCLOSED__c1_Empty__c2_PUBACK\"];\n\ts134 -> s134 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts134 -> s134 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts135 -> s155 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts135 -> s45 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts135 -> s40 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts135 -> s84 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts135 -> s182 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts135 -> s135 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts135 -> s45 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts135 -> s40 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts135 -> s84 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts135 -> s135 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts135 -> s135 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts135 -> s135 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts135 -> s135 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts135 -> s188 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts135 -> s135 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts135 -> s135 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts135 -> s79 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts135 -> s78 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts135 -> s135 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts135 -> s135 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts135 -> s135 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts135 -> s135 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts135 -> s135 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts135 -> s135 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_PUBLISH__c2_PUBLISH\"];\n\ts135 -> s135 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts136 -> s156 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts136 -> s46 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts136 -> s88 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts136 -> s37 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts136 -> s183 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts136 -> s136 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts136 -> s46 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts136 -> s88 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts136 -> s37 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts136 -> s136 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts136 -> s136 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts136 -> s136 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts136 -> s188 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts136 -> s136 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts136 -> s136 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts136 -> s136 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts136 -> s80 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts136 -> s136 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts136 -> s78 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts136 -> s136 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts136 -> s136 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts136 -> s136 [label=\"c1_publish / c3_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts136 -> s136 [label=\"c2_publish / c3_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_PUBLISH__c2_PUBACK\"];\n\ts136 -> s136 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_PUBLISH__c2_Empty\"];\n\ts136 -> s136 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts137 -> s157 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts137 -> s93 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts137 -> s41 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts137 -> s38 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts137 -> s185 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts137 -> s137 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts137 -> s93 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts137 -> s41 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts137 -> s38 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts137 -> s137 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts137 -> s137 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts137 -> s188 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts137 -> s137 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts137 -> s137 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts137 -> s137 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts137 -> s137 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts137 -> s137 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts137 -> s80 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts137 -> s79 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts137 -> s137 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts137 -> s137 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts137 -> s137 [label=\"c1_publish / c3_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_PUBACK__c2_PUBLISH\"];\n\ts137 -> s137 [label=\"c2_publish / c3_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts137 -> s137 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_PUBLISH\"];\n\ts137 -> s137 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts138 -> s161 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts138 -> s47 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts138 -> s42 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts138 -> s182 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts138 -> s84 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts138 -> s138 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts138 -> s47 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts138 -> s42 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts138 -> s138 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts138 -> s84 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts138 -> s138 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts138 -> s138 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts138 -> s138 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts138 -> s138 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts138 -> s189 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts138 -> s138 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts138 -> s82 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts138 -> s81 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts138 -> s138 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts138 -> s138 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts138 -> s138 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts138 -> s138 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts138 -> s138 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts138 -> s138 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts138 -> s138 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_CONCLOSED__c1_PUBLISH__c2_PUBLISH\"];\n\ts139 -> s162 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts139 -> s48 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts139 -> s89 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts139 -> s184 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts139 -> s37 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts139 -> s139 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts139 -> s48 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts139 -> s89 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts139 -> s139 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts139 -> s37 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts139 -> s139 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts139 -> s139 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts139 -> s189 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts139 -> s139 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts139 -> s139 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts139 -> s139 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts139 -> s83 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts139 -> s139 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts139 -> s139 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts139 -> s81 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts139 -> s139 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts139 -> s139 [label=\"c1_publish / c3_CONCLOSED__c4_PUBLISH__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts139 -> s139 [label=\"c2_publish / c3_CONCLOSED__c4_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_PUBACK\"];\n\ts139 -> s139 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts139 -> s139 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_Empty\"];\n\ts140 -> s163 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts140 -> s94 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts140 -> s43 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts140 -> s186 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts140 -> s38 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts140 -> s140 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts140 -> s94 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts140 -> s43 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts140 -> s140 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts140 -> s38 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts140 -> s140 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts140 -> s189 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts140 -> s140 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts140 -> s140 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts140 -> s140 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts140 -> s140 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts140 -> s140 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts140 -> s83 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts140 -> s140 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts140 -> s82 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts140 -> s140 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts140 -> s140 [label=\"c1_publish / c3_CONCLOSED__c4_PUBLISH__c0_CONCLOSED__c1_PUBACK__c2_PUBLISH\"];\n\ts140 -> s140 [label=\"c2_publish / c3_CONCLOSED__c4_PUBLISH__c0_CONCLOSED__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts140 -> s140 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts140 -> s140 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_Empty__c2_PUBLISH\"];\n\ts141 -> s168 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_CONCLOSED\"];\n\ts141 -> s49 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts141 -> s183 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONNACK\"];\n\ts141 -> s42 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts141 -> s88 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts141 -> s141 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts141 -> s49 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts141 -> s141 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts141 -> s42 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts141 -> s88 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts141 -> s141 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts141 -> s141 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_CONCLOSED\"];\n\ts141 -> s141 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts141 -> s141 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts141 -> s190 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts141 -> s141 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts141 -> s86 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts141 -> s141 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts141 -> s85 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts141 -> s141 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts141 -> s141 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts141 -> s141 [label=\"c1_publish / c3_PUBLISH__c4_Empty__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts141 -> s141 [label=\"c2_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts141 -> s141 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_CONCLOSED__c1_PUBLISH__c2_CONCLOSED\"];\n\ts141 -> s141 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_CONCLOSED__c1_PUBLISH__c2_CONCLOSED\"];\n\ts142 -> s169 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_CONCLOSED\"];\n\ts142 -> s50 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts142 -> s184 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONNACK\"];\n\ts142 -> s89 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts142 -> s40 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts142 -> s142 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts142 -> s50 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts142 -> s142 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts142 -> s89 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts142 -> s40 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts142 -> s142 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts142 -> s142 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_CONCLOSED\"];\n\ts142 -> s142 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts142 -> s190 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts142 -> s142 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts142 -> s142 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts142 -> s87 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts142 -> s142 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts142 -> s142 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts142 -> s85 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts142 -> s142 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts142 -> s142 [label=\"c1_publish / c3_Empty__c4_PUBLISH__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts142 -> s142 [label=\"c2_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts142 -> s142 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_CONCLOSED\"];\n\ts142 -> s142 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_CONCLOSED\"];\n\ts143 -> s170 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_CONCLOSED\"];\n\ts143 -> s95 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts143 -> s187 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONNACK\"];\n\ts143 -> s43 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts143 -> s41 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts143 -> s143 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts143 -> s95 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts143 -> s143 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts143 -> s43 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts143 -> s41 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts143 -> s143 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts143 -> s190 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_CONCLOSED\"];\n\ts143 -> s143 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts143 -> s143 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts143 -> s143 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts143 -> s143 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts143 -> s143 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts143 -> s143 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts143 -> s87 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts143 -> s86 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts143 -> s143 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts143 -> s143 [label=\"c1_publish / c3_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_PUBACK__c2_CONCLOSED\"];\n\ts143 -> s143 [label=\"c2_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts143 -> s143 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts143 -> s143 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts144 -> s176 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_CONCLOSED__c2_Empty\"];\n\ts144 -> s185 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONNACK__c2_Empty\"];\n\ts144 -> s49 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts144 -> s47 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts144 -> s93 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts144 -> s144 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts144 -> s144 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts144 -> s49 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts144 -> s47 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts144 -> s93 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts144 -> s144 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts144 -> s144 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts144 -> s144 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_SUBACK\"];\n\ts144 -> s144 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts144 -> s191 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts144 -> s144 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts144 -> s144 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts144 -> s91 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts144 -> s90 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts144 -> s144 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts144 -> s144 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts144 -> s144 [label=\"c1_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts144 -> s144 [label=\"c2_publish / c3_PUBLISH__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts144 -> s144 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_PUBLISH\"];\n\ts144 -> s144 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_PUBLISH\"];\n\ts145 -> s177 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_CONCLOSED__c2_Empty\"];\n\ts145 -> s186 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONNACK__c2_Empty\"];\n\ts145 -> s50 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts145 -> s94 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts145 -> s45 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts145 -> s145 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts145 -> s145 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts145 -> s50 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts145 -> s94 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts145 -> s45 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts145 -> s145 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts145 -> s145 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts145 -> s145 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_SUBACK\"];\n\ts145 -> s191 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts145 -> s145 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts145 -> s145 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts145 -> s145 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts145 -> s92 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts145 -> s145 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts145 -> s90 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts145 -> s145 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts145 -> s145 [label=\"c1_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts145 -> s145 [label=\"c2_publish / c3_Empty__c4_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts145 -> s145 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_PUBLISH\"];\n\ts145 -> s145 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_PUBLISH\"];\n\ts146 -> s178 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_CONCLOSED__c2_Empty\"];\n\ts146 -> s187 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONNACK__c2_Empty\"];\n\ts146 -> s95 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts146 -> s48 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts146 -> s46 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts146 -> s146 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts146 -> s146 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts146 -> s95 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts146 -> s48 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts146 -> s46 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts146 -> s146 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts146 -> s146 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts146 -> s191 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_SUBACK\"];\n\ts146 -> s146 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts146 -> s146 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts146 -> s146 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts146 -> s146 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts146 -> s146 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts146 -> s92 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts146 -> s91 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts146 -> s146 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts146 -> s146 [label=\"c1_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts146 -> s146 [label=\"c2_publish / c3_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_PUBACK\"];\n\ts146 -> s146 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts146 -> s146 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts147 -> s77 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts147 -> s118 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts147 -> s108 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts147 -> s101 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts147 -> s97 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts147 -> s77 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts147 -> s118 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts147 -> s108 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts147 -> s101 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts147 -> s97 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts147 -> s147 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts147 -> s192 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts147 -> s193 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts147 -> s194 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts147 -> s195 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts147 -> s96 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts147 -> s147 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts147 -> s147 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts147 -> s147 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts147 -> s147 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts147 -> s147 [label=\"c0_publish / c3_Empty__c4_Empty__c0_PUBACK_PUBLISH__c1_Empty__c2_Empty\"];\n\ts147 -> s147 [label=\"c1_publish / c3_Empty__c4_Empty__c0_PUBLISH__c1_PUBACK__c2_Empty\"];\n\ts147 -> s147 [label=\"c2_publish / c3_Empty__c4_Empty__c0_PUBLISH__c1_Empty__c2_PUBACK\"];\n\ts147 -> s147 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_PUBLISH__c1_Empty__c2_Empty\"];\n\ts147 -> s147 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_PUBLISH__c1_Empty__c2_Empty\"];\n\ts148 -> s131 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts148 -> s64 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts148 -> s109 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts148 -> s102 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts148 -> s98 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts148 -> s131 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts148 -> s64 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts148 -> s109 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts148 -> s102 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts148 -> s98 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts148 -> s192 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts148 -> s148 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts148 -> s196 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts148 -> s197 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts148 -> s198 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts148 -> s148 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts148 -> s96 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts148 -> s148 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts148 -> s148 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts148 -> s148 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts148 -> s148 [label=\"c0_publish / c3_Empty__c4_Empty__c0_PUBACK__c1_PUBLISH__c2_Empty\"];\n\ts148 -> s148 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts148 -> s148 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_PUBLISH__c2_PUBACK\"];\n\ts148 -> s148 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_Empty__c1_PUBLISH__c2_Empty\"];\n\ts148 -> s148 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_Empty__c1_PUBLISH__c2_Empty\"];\n\ts149 -> s132 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts149 -> s119 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts149 -> s56 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts149 -> s103 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts149 -> s99 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts149 -> s132 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts149 -> s119 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts149 -> s56 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts149 -> s103 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts149 -> s99 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts149 -> s193 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts149 -> s196 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts149 -> s149 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts149 -> s199 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts149 -> s200 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts149 -> s149 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts149 -> s149 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts149 -> s96 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts149 -> s149 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts149 -> s149 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts149 -> s149 [label=\"c0_publish / c3_Empty__c4_Empty__c0_PUBACK__c1_Empty__c2_PUBLISH\"];\n\ts149 -> s149 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_PUBACK__c2_PUBLISH\"];\n\ts149 -> s149 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts149 -> s149 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_Empty__c1_Empty__c2_PUBLISH\"];\n\ts149 -> s149 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_Empty__c1_Empty__c2_PUBLISH\"];\n\ts150 -> s133 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts150 -> s120 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts150 -> s110 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts150 -> s52 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts150 -> s100 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts150 -> s133 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts150 -> s120 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts150 -> s110 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts150 -> s52 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts150 -> s100 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts150 -> s194 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts150 -> s197 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts150 -> s199 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts150 -> s150 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts150 -> s201 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts150 -> s150 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts150 -> s150 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts150 -> s150 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts150 -> s96 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts150 -> s150 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts150 -> s150 [label=\"c0_publish / c3_PUBLISH__c4_Empty__c0_PUBACK__c1_Empty__c2_Empty\"];\n\ts150 -> s150 [label=\"c1_publish / c3_PUBLISH__c4_Empty__c0_Empty__c1_PUBACK__c2_Empty\"];\n\ts150 -> s150 [label=\"c2_publish / c3_PUBLISH__c4_Empty__c0_Empty__c1_Empty__c2_PUBACK\"];\n\ts150 -> s150 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts150 -> s150 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts151 -> s134 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts151 -> s121 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts151 -> s111 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts151 -> s104 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts151 -> s51 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts151 -> s134 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts151 -> s121 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts151 -> s111 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts151 -> s104 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts151 -> s51 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts151 -> s195 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts151 -> s198 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts151 -> s200 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts151 -> s201 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts151 -> s151 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts151 -> s151 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts151 -> s151 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts151 -> s151 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts151 -> s151 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts151 -> s96 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts151 -> s151 [label=\"c0_publish / c3_Empty__c4_PUBLISH__c0_PUBACK__c1_Empty__c2_Empty\"];\n\ts151 -> s151 [label=\"c1_publish / c3_Empty__c4_PUBLISH__c0_Empty__c1_PUBACK__c2_Empty\"];\n\ts151 -> s151 [label=\"c2_publish / c3_Empty__c4_PUBLISH__c0_Empty__c1_Empty__c2_PUBACK\"];\n\ts151 -> s151 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_Empty__c1_Empty__c2_Empty\"];\n\ts151 -> s151 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_Empty__c1_Empty__c2_Empty\"];\n\ts152 -> s78 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts152 -> s65 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts152 -> s112 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts152 -> s105 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts152 -> s192 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts152 -> s78 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts152 -> s65 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts152 -> s112 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts152 -> s105 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts152 -> s152 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts152 -> s152 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts152 -> s152 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts152 -> s202 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts152 -> s203 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts152 -> s152 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts152 -> s98 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts152 -> s97 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts152 -> s152 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts152 -> s152 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts152 -> s152 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts152 -> s152 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts152 -> s152 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts152 -> s152 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_PUBLISH__c1_PUBLISH__c2_PUBACK\"];\n\ts152 -> s152 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts152 -> s152 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts153 -> s79 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts153 -> s122 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts153 -> s57 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts153 -> s106 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts153 -> s193 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts153 -> s79 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts153 -> s122 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts153 -> s57 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts153 -> s106 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts153 -> s153 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts153 -> s153 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts153 -> s202 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts153 -> s153 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts153 -> s204 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts153 -> s153 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts153 -> s99 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts153 -> s153 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts153 -> s97 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts153 -> s153 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts153 -> s153 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts153 -> s153 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts153 -> s153 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_PUBLISH__c1_PUBACK__c2_PUBLISH\"];\n\ts153 -> s153 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_PUBLISH__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts153 -> s153 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts153 -> s153 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts154 -> s80 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts154 -> s123 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts154 -> s113 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts154 -> s53 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts154 -> s194 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts154 -> s80 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts154 -> s123 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts154 -> s113 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts154 -> s53 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts154 -> s154 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts154 -> s154 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts154 -> s203 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts154 -> s204 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts154 -> s154 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts154 -> s154 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts154 -> s100 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts154 -> s154 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts154 -> s154 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts154 -> s97 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts154 -> s154 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts154 -> s154 [label=\"c0_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_Empty__c2_Empty\"];\n\ts154 -> s154 [label=\"c1_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_PUBACK__c2_Empty\"];\n\ts154 -> s154 [label=\"c2_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_Empty__c2_PUBACK\"];\n\ts154 -> s154 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_Empty__c2_Empty\"];\n\ts154 -> s154 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts155 -> s135 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts155 -> s66 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts155 -> s58 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts155 -> s107 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts155 -> s196 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts155 -> s135 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts155 -> s66 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts155 -> s58 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts155 -> s107 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts155 -> s155 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts155 -> s202 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts155 -> s155 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts155 -> s155 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts155 -> s205 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts155 -> s155 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts155 -> s155 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts155 -> s99 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts155 -> s98 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts155 -> s155 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts155 -> s155 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts155 -> s155 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_PUBACK__c1_PUBLISH__c2_PUBLISH\"];\n\ts155 -> s155 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts155 -> s155 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts155 -> s155 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_Empty__c1_PUBLISH__c2_PUBLISH\"];\n\ts155 -> s155 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts156 -> s136 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts156 -> s67 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts156 -> s114 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts156 -> s54 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts156 -> s197 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts156 -> s136 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts156 -> s67 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts156 -> s114 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts156 -> s54 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts156 -> s156 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts156 -> s203 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts156 -> s156 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts156 -> s205 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts156 -> s156 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts156 -> s156 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts156 -> s156 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts156 -> s100 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts156 -> s156 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts156 -> s98 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts156 -> s156 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts156 -> s156 [label=\"c0_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBACK__c1_PUBLISH__c2_Empty\"];\n\ts156 -> s156 [label=\"c1_publish / c3_PUBLISH__c4_CONCLOSED__c0_Empty__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts156 -> s156 [label=\"c2_publish / c3_PUBLISH__c4_CONCLOSED__c0_Empty__c1_PUBLISH__c2_PUBACK\"];\n\ts156 -> s156 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_Empty__c1_PUBLISH__c2_Empty\"];\n\ts156 -> s156 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts157 -> s137 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts157 -> s124 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts157 -> s59 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts157 -> s55 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts157 -> s199 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts157 -> s137 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts157 -> s124 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts157 -> s59 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts157 -> s55 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts157 -> s157 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts157 -> s204 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts157 -> s205 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts157 -> s157 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts157 -> s157 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts157 -> s157 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts157 -> s157 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts157 -> s157 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts157 -> s100 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts157 -> s99 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts157 -> s157 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts157 -> s157 [label=\"c0_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBACK__c1_Empty__c2_PUBLISH\"];\n\ts157 -> s157 [label=\"c1_publish / c3_PUBLISH__c4_CONCLOSED__c0_Empty__c1_PUBACK__c2_PUBLISH\"];\n\ts157 -> s157 [label=\"c2_publish / c3_PUBLISH__c4_CONCLOSED__c0_Empty__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts157 -> s157 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_Empty__c1_Empty__c2_PUBLISH\"];\n\ts157 -> s157 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts158 -> s81 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts158 -> s68 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts158 -> s115 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts158 -> s192 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts158 -> s105 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts158 -> s81 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts158 -> s68 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts158 -> s115 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts158 -> s158 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts158 -> s105 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts158 -> s158 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts158 -> s158 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts158 -> s206 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts158 -> s158 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts158 -> s207 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts158 -> s102 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts158 -> s101 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts158 -> s158 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts158 -> s158 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts158 -> s158 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts158 -> s158 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts158 -> s158 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts158 -> s158 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_PUBLISH__c1_PUBLISH__c2_PUBACK\"];\n\ts158 -> s158 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts158 -> s158 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts159 -> s82 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts159 -> s125 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts159 -> s60 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts159 -> s193 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts159 -> s106 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts159 -> s82 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts159 -> s125 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts159 -> s60 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts159 -> s159 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts159 -> s106 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts159 -> s159 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts159 -> s206 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts159 -> s159 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts159 -> s159 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts159 -> s208 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts159 -> s103 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts159 -> s159 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts159 -> s101 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts159 -> s159 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts159 -> s159 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts159 -> s159 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_PUBACK_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts159 -> s159 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_PUBLISH__c1_PUBACK__c2_PUBLISH\"];\n\ts159 -> s159 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_PUBLISH__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts159 -> s159 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts159 -> s159 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts160 -> s83 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts160 -> s126 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts160 -> s116 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts160 -> s195 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts160 -> s53 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts160 -> s83 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts160 -> s126 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts160 -> s116 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts160 -> s160 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts160 -> s53 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts160 -> s160 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts160 -> s207 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts160 -> s208 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts160 -> s160 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts160 -> s160 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts160 -> s104 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts160 -> s160 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts160 -> s160 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts160 -> s160 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts160 -> s101 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts160 -> s160 [label=\"c0_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_Empty__c2_Empty\"];\n\ts160 -> s160 [label=\"c1_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBLISH__c1_PUBACK__c2_Empty\"];\n\ts160 -> s160 [label=\"c2_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBLISH__c1_Empty__c2_PUBACK\"];\n\ts160 -> s160 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts160 -> s160 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_Empty__c2_Empty\"];\n\ts161 -> s138 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts161 -> s69 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts161 -> s61 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts161 -> s196 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts161 -> s107 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts161 -> s138 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts161 -> s69 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts161 -> s61 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts161 -> s161 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts161 -> s107 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts161 -> s206 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts161 -> s161 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts161 -> s161 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts161 -> s161 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts161 -> s209 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts161 -> s161 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts161 -> s103 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts161 -> s102 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts161 -> s161 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts161 -> s161 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts161 -> s161 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_PUBACK__c1_PUBLISH__c2_PUBLISH\"];\n\ts161 -> s161 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts161 -> s161 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts161 -> s161 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts161 -> s161 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_Empty__c1_PUBLISH__c2_PUBLISH\"];\n\ts162 -> s139 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts162 -> s70 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts162 -> s117 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts162 -> s198 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts162 -> s54 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts162 -> s139 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts162 -> s70 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts162 -> s117 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts162 -> s162 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts162 -> s54 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts162 -> s207 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts162 -> s162 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts162 -> s209 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts162 -> s162 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts162 -> s162 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts162 -> s162 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts162 -> s104 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts162 -> s162 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts162 -> s162 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts162 -> s102 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts162 -> s162 [label=\"c0_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBACK__c1_PUBLISH__c2_Empty\"];\n\ts162 -> s162 [label=\"c1_publish / c3_CONCLOSED__c4_PUBLISH__c0_Empty__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts162 -> s162 [label=\"c2_publish / c3_CONCLOSED__c4_PUBLISH__c0_Empty__c1_PUBLISH__c2_PUBACK\"];\n\ts162 -> s162 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts162 -> s162 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_Empty__c1_PUBLISH__c2_Empty\"];\n\ts163 -> s140 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts163 -> s127 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts163 -> s62 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts163 -> s200 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts163 -> s55 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts163 -> s140 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts163 -> s127 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts163 -> s62 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts163 -> s163 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts163 -> s55 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts163 -> s208 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts163 -> s209 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts163 -> s163 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts163 -> s163 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts163 -> s163 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts163 -> s163 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts163 -> s163 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts163 -> s104 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts163 -> s163 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts163 -> s103 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts163 -> s163 [label=\"c0_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBACK__c1_Empty__c2_PUBLISH\"];\n\ts163 -> s163 [label=\"c1_publish / c3_CONCLOSED__c4_PUBLISH__c0_Empty__c1_PUBACK__c2_PUBLISH\"];\n\ts163 -> s163 [label=\"c2_publish / c3_CONCLOSED__c4_PUBLISH__c0_Empty__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts163 -> s163 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts163 -> s163 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_Empty__c1_Empty__c2_PUBLISH\"];\n\ts164 -> s84 [label=\"c0_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts164 -> s71 [label=\"c1_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts164 -> s63 [label=\"c2_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts164 -> s202 [label=\"c3_connect / c3_CONNACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts164 -> s206 [label=\"c4_connect / c3_CONCLOSED__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts164 -> s84 [label=\"c0_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts164 -> s71 [label=\"c1_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts164 -> s63 [label=\"c2_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts164 -> s164 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts164 -> s164 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts164 -> s164 [label=\"c0_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts164 -> s164 [label=\"c1_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts164 -> s164 [label=\"c2_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts164 -> s164 [label=\"c3_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts164 -> s164 [label=\"c4_subscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts164 -> s107 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts164 -> s106 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts164 -> s105 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts164 -> s164 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts164 -> s164 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts164 -> s164 [label=\"c0_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\ts164 -> s164 [label=\"c1_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts164 -> s164 [label=\"c2_publish / c3_CONCLOSED__c4_CONCLOSED__c0_PUBLISH__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts164 -> s164 [label=\"c3_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts164 -> s164 [label=\"c4_publish / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts165 -> s85 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts165 -> s72 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts165 -> s192 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts165 -> s115 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts165 -> s112 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts165 -> s85 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts165 -> s72 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts165 -> s165 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts165 -> s115 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts165 -> s112 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts165 -> s165 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts165 -> s165 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts165 -> s165 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts165 -> s210 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts165 -> s211 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts165 -> s109 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts165 -> s108 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts165 -> s165 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts165 -> s165 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts165 -> s165 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts165 -> s165 [label=\"c0_publish / c3_Empty__c4_Empty__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts165 -> s165 [label=\"c1_publish / c3_Empty__c4_Empty__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts165 -> s165 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts165 -> s165 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts165 -> s165 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts166 -> s86 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts166 -> s128 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts166 -> s194 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts166 -> s60 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts166 -> s113 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts166 -> s86 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts166 -> s128 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts166 -> s166 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts166 -> s60 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts166 -> s113 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts166 -> s166 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts166 -> s210 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts166 -> s166 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts166 -> s166 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts166 -> s212 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts166 -> s110 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts166 -> s166 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts166 -> s166 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts166 -> s108 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts166 -> s166 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts166 -> s166 [label=\"c0_publish / c3_PUBLISH__c4_Empty__c0_PUBACK_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts166 -> s166 [label=\"c1_publish / c3_PUBLISH__c4_Empty__c0_PUBLISH__c1_PUBACK__c2_CONCLOSED\"];\n\ts166 -> s166 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts166 -> s166 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts166 -> s166 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts167 -> s87 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts167 -> s129 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts167 -> s195 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts167 -> s116 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts167 -> s57 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts167 -> s87 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts167 -> s129 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts167 -> s167 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts167 -> s116 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts167 -> s57 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts167 -> s167 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts167 -> s211 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts167 -> s167 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts167 -> s212 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts167 -> s167 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts167 -> s111 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts167 -> s167 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts167 -> s167 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts167 -> s167 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts167 -> s108 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts167 -> s167 [label=\"c0_publish / c3_Empty__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts167 -> s167 [label=\"c1_publish / c3_Empty__c4_PUBLISH__c0_PUBLISH__c1_PUBACK__c2_CONCLOSED\"];\n\ts167 -> s167 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts167 -> s167 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts167 -> s167 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts168 -> s141 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts168 -> s73 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts168 -> s197 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts168 -> s61 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts168 -> s114 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts168 -> s141 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts168 -> s73 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts168 -> s168 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts168 -> s61 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts168 -> s114 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts168 -> s210 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts168 -> s168 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts168 -> s168 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts168 -> s168 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts168 -> s213 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts168 -> s168 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts168 -> s110 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts168 -> s168 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts168 -> s109 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts168 -> s168 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts168 -> s168 [label=\"c0_publish / c3_PUBLISH__c4_Empty__c0_PUBACK__c1_PUBLISH__c2_CONCLOSED\"];\n\ts168 -> s168 [label=\"c1_publish / c3_PUBLISH__c4_Empty__c0_Empty__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts168 -> s168 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts168 -> s168 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_Empty__c1_PUBLISH__c2_CONCLOSED\"];\n\ts168 -> s168 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_Empty__c1_PUBLISH__c2_CONCLOSED\"];\n\ts169 -> s142 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts169 -> s74 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts169 -> s198 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts169 -> s117 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts169 -> s58 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts169 -> s142 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts169 -> s74 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts169 -> s169 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts169 -> s117 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts169 -> s58 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts169 -> s211 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts169 -> s169 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts169 -> s169 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts169 -> s213 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts169 -> s169 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts169 -> s169 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts169 -> s111 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts169 -> s169 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts169 -> s169 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts169 -> s109 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts169 -> s169 [label=\"c0_publish / c3_Empty__c4_PUBLISH__c0_PUBACK__c1_PUBLISH__c2_CONCLOSED\"];\n\ts169 -> s169 [label=\"c1_publish / c3_Empty__c4_PUBLISH__c0_Empty__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts169 -> s169 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts169 -> s169 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_Empty__c1_PUBLISH__c2_CONCLOSED\"];\n\ts169 -> s169 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_Empty__c1_PUBLISH__c2_CONCLOSED\"];\n\ts170 -> s143 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts170 -> s130 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts170 -> s201 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts170 -> s62 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts170 -> s59 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts170 -> s143 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts170 -> s130 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts170 -> s170 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts170 -> s62 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts170 -> s59 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts170 -> s212 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts170 -> s213 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts170 -> s170 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts170 -> s170 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts170 -> s170 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts170 -> s170 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts170 -> s170 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts170 -> s170 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts170 -> s111 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts170 -> s110 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts170 -> s170 [label=\"c0_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts170 -> s170 [label=\"c1_publish / c3_PUBLISH__c4_PUBLISH__c0_Empty__c1_PUBACK__c2_CONCLOSED\"];\n\ts170 -> s170 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts170 -> s170 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts170 -> s170 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts171 -> s88 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts171 -> s75 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts171 -> s203 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts171 -> s63 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts171 -> s210 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts171 -> s88 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts171 -> s75 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts171 -> s171 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts171 -> s63 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts171 -> s171 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts171 -> s171 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts171 -> s171 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts171 -> s171 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts171 -> s171 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts171 -> s171 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts171 -> s114 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts171 -> s113 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts171 -> s171 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts171 -> s112 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts171 -> s171 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts171 -> s171 [label=\"c0_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts171 -> s171 [label=\"c1_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts171 -> s171 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts171 -> s171 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts171 -> s171 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts172 -> s89 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts172 -> s76 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts172 -> s207 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts172 -> s211 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts172 -> s63 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts172 -> s89 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts172 -> s76 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts172 -> s172 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts172 -> s172 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts172 -> s63 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts172 -> s172 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts172 -> s172 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts172 -> s172 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts172 -> s172 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts172 -> s172 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts172 -> s117 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts172 -> s116 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts172 -> s172 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts172 -> s172 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts172 -> s115 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts172 -> s172 [label=\"c0_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts172 -> s172 [label=\"c1_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts172 -> s172 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts172 -> s172 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts172 -> s172 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts173 -> s90 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts173 -> s193 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts173 -> s72 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts173 -> s125 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts173 -> s122 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts173 -> s90 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts173 -> s173 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts173 -> s72 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts173 -> s125 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts173 -> s122 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts173 -> s173 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts173 -> s173 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts173 -> s173 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts173 -> s214 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts173 -> s215 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts173 -> s119 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts173 -> s173 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts173 -> s118 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts173 -> s173 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts173 -> s173 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts173 -> s173 [label=\"c0_publish / c3_Empty__c4_Empty__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts173 -> s173 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts173 -> s173 [label=\"c2_publish / c3_Empty__c4_Empty__c0_PUBLISH__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts173 -> s173 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts173 -> s173 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts174 -> s91 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts174 -> s194 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts174 -> s128 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts174 -> s68 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts174 -> s123 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts174 -> s91 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts174 -> s174 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts174 -> s128 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts174 -> s68 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts174 -> s123 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts174 -> s174 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts174 -> s174 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts174 -> s214 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts174 -> s174 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts174 -> s216 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts174 -> s120 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts174 -> s174 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts174 -> s174 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts174 -> s118 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts174 -> s174 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts174 -> s174 [label=\"c0_publish / c3_PUBLISH__c4_Empty__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts174 -> s174 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts174 -> s174 [label=\"c2_publish / c3_PUBLISH__c4_Empty__c0_PUBLISH__c1_CONCLOSED__c2_PUBACK\"];\n\ts174 -> s174 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts174 -> s174 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts175 -> s92 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts175 -> s195 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts175 -> s129 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts175 -> s126 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts175 -> s65 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts175 -> s92 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts175 -> s175 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts175 -> s129 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts175 -> s126 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts175 -> s65 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts175 -> s175 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts175 -> s175 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts175 -> s215 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts175 -> s216 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts175 -> s175 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts175 -> s121 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts175 -> s175 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts175 -> s175 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts175 -> s175 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts175 -> s118 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts175 -> s175 [label=\"c0_publish / c3_Empty__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts175 -> s175 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts175 -> s175 [label=\"c2_publish / c3_Empty__c4_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_PUBACK\"];\n\ts175 -> s175 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts175 -> s175 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts176 -> s144 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts176 -> s199 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts176 -> s73 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts176 -> s69 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts176 -> s124 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts176 -> s144 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts176 -> s176 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts176 -> s73 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts176 -> s69 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts176 -> s124 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts176 -> s214 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts176 -> s176 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts176 -> s176 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts176 -> s176 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts176 -> s217 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts176 -> s176 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts176 -> s176 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts176 -> s120 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts176 -> s119 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts176 -> s176 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts176 -> s176 [label=\"c0_publish / c3_PUBLISH__c4_Empty__c0_PUBACK__c1_CONCLOSED__c2_PUBLISH\"];\n\ts176 -> s176 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts176 -> s176 [label=\"c2_publish / c3_PUBLISH__c4_Empty__c0_Empty__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts176 -> s176 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_Empty__c1_CONCLOSED__c2_PUBLISH\"];\n\ts176 -> s176 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_Empty__c1_CONCLOSED__c2_PUBLISH\"];\n\ts177 -> s145 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts177 -> s200 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts177 -> s74 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts177 -> s127 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts177 -> s66 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts177 -> s145 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts177 -> s177 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts177 -> s74 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts177 -> s127 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts177 -> s66 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts177 -> s215 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts177 -> s177 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts177 -> s177 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts177 -> s217 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts177 -> s177 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts177 -> s177 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts177 -> s177 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts177 -> s121 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts177 -> s177 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts177 -> s119 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts177 -> s177 [label=\"c0_publish / c3_Empty__c4_PUBLISH__c0_PUBACK__c1_CONCLOSED__c2_PUBLISH\"];\n\ts177 -> s177 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts177 -> s177 [label=\"c2_publish / c3_Empty__c4_PUBLISH__c0_Empty__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts177 -> s177 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_Empty__c1_CONCLOSED__c2_PUBLISH\"];\n\ts177 -> s177 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_Empty__c1_CONCLOSED__c2_PUBLISH\"];\n\ts178 -> s146 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts178 -> s201 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts178 -> s130 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts178 -> s70 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts178 -> s67 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts178 -> s146 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts178 -> s178 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts178 -> s130 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts178 -> s70 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts178 -> s67 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts178 -> s216 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts178 -> s178 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts178 -> s217 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts178 -> s178 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts178 -> s178 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts178 -> s178 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts178 -> s178 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts178 -> s178 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts178 -> s121 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts178 -> s120 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts178 -> s178 [label=\"c0_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts178 -> s178 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts178 -> s178 [label=\"c2_publish / c3_PUBLISH__c4_PUBLISH__c0_Empty__c1_CONCLOSED__c2_PUBACK\"];\n\ts178 -> s178 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts178 -> s178 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts179 -> s93 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts179 -> s204 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts179 -> s75 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts179 -> s71 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts179 -> s214 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts179 -> s93 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts179 -> s179 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts179 -> s75 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts179 -> s71 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts179 -> s179 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts179 -> s179 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts179 -> s179 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts179 -> s179 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts179 -> s179 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts179 -> s179 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts179 -> s124 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts179 -> s179 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts179 -> s123 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts179 -> s122 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts179 -> s179 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts179 -> s179 [label=\"c0_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts179 -> s179 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts179 -> s179 [label=\"c2_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts179 -> s179 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts179 -> s179 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts180 -> s94 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts180 -> s208 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts180 -> s76 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts180 -> s215 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts180 -> s71 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts180 -> s94 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts180 -> s180 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts180 -> s76 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts180 -> s180 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts180 -> s71 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts180 -> s180 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts180 -> s180 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts180 -> s180 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts180 -> s180 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts180 -> s180 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts180 -> s127 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts180 -> s180 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts180 -> s126 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts180 -> s180 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts180 -> s125 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts180 -> s180 [label=\"c0_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts180 -> s180 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts180 -> s180 [label=\"c2_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts180 -> s180 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts180 -> s180 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts181 -> s95 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s212 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_CONCLOSED\"];\n\ts181 -> s216 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONNACK\"];\n\ts181 -> s76 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s75 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s95 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s181 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s181 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s76 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s75 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s181 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s181 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s181 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s181 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s181 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s130 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s181 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s181 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s129 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s128 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s181 [label=\"c0_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s181 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s181 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s181 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts181 -> s181 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts182 -> s196 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts182 -> s90 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts182 -> s85 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts182 -> s138 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts182 -> s135 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts182 -> s182 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts182 -> s90 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts182 -> s85 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts182 -> s138 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts182 -> s135 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts182 -> s182 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts182 -> s182 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts182 -> s182 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts182 -> s218 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts182 -> s219 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts182 -> s182 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts182 -> s132 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts182 -> s131 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts182 -> s182 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts182 -> s182 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts182 -> s182 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts182 -> s182 [label=\"c1_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts182 -> s182 [label=\"c2_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts182 -> s182 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_CONCLOSED__c1_PUBLISH__c2_PUBLISH\"];\n\ts182 -> s182 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_CONCLOSED__c1_PUBLISH__c2_PUBLISH\"];\n\ts183 -> s197 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts183 -> s91 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts183 -> s141 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts183 -> s81 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts183 -> s136 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts183 -> s183 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts183 -> s91 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts183 -> s141 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts183 -> s81 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts183 -> s136 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts183 -> s183 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts183 -> s183 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts183 -> s218 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts183 -> s183 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts183 -> s220 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts183 -> s183 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts183 -> s133 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts183 -> s183 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts183 -> s131 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts183 -> s183 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts183 -> s183 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts183 -> s183 [label=\"c1_publish / c3_PUBLISH__c4_Empty__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts183 -> s183 [label=\"c2_publish / c3_PUBLISH__c4_Empty__c0_CONCLOSED__c1_PUBLISH__c2_PUBACK\"];\n\ts183 -> s183 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_CONCLOSED__c1_PUBLISH__c2_Empty\"];\n\ts183 -> s183 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_CONCLOSED__c1_PUBLISH__c2_Empty\"];\n\ts184 -> s198 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts184 -> s92 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts184 -> s142 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts184 -> s139 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts184 -> s78 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts184 -> s184 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts184 -> s92 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts184 -> s142 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts184 -> s139 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts184 -> s78 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts184 -> s184 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts184 -> s184 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts184 -> s219 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts184 -> s220 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts184 -> s184 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts184 -> s184 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts184 -> s134 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts184 -> s184 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts184 -> s184 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts184 -> s131 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts184 -> s184 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts184 -> s184 [label=\"c1_publish / c3_Empty__c4_PUBLISH__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts184 -> s184 [label=\"c2_publish / c3_Empty__c4_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_PUBACK\"];\n\ts184 -> s184 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_Empty\"];\n\ts184 -> s184 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_Empty\"];\n\ts185 -> s199 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts185 -> s144 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts185 -> s86 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts185 -> s82 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts185 -> s137 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts185 -> s185 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts185 -> s144 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts185 -> s86 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts185 -> s82 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts185 -> s137 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts185 -> s185 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts185 -> s218 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts185 -> s185 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts185 -> s185 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts185 -> s221 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts185 -> s185 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts185 -> s185 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts185 -> s133 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts185 -> s132 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts185 -> s185 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts185 -> s185 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts185 -> s185 [label=\"c1_publish / c3_PUBLISH__c4_Empty__c0_CONCLOSED__c1_PUBACK__c2_PUBLISH\"];\n\ts185 -> s185 [label=\"c2_publish / c3_PUBLISH__c4_Empty__c0_CONCLOSED__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts185 -> s185 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_CONCLOSED__c1_Empty__c2_PUBLISH\"];\n\ts185 -> s185 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_CONCLOSED__c1_Empty__c2_PUBLISH\"];\n\ts186 -> s200 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts186 -> s145 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts186 -> s87 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts186 -> s140 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts186 -> s79 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts186 -> s186 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts186 -> s145 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts186 -> s87 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts186 -> s140 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts186 -> s79 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts186 -> s186 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts186 -> s219 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts186 -> s186 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts186 -> s221 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts186 -> s186 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts186 -> s186 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts186 -> s186 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts186 -> s134 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts186 -> s186 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts186 -> s132 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts186 -> s186 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts186 -> s186 [label=\"c1_publish / c3_Empty__c4_PUBLISH__c0_CONCLOSED__c1_PUBACK__c2_PUBLISH\"];\n\ts186 -> s186 [label=\"c2_publish / c3_Empty__c4_PUBLISH__c0_CONCLOSED__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts186 -> s186 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_CONCLOSED__c1_Empty__c2_PUBLISH\"];\n\ts186 -> s186 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_Empty__c2_PUBLISH\"];\n\ts187 -> s201 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts187 -> s146 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts187 -> s143 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts187 -> s83 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts187 -> s80 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts187 -> s187 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts187 -> s146 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts187 -> s143 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts187 -> s83 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts187 -> s80 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts187 -> s187 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts187 -> s220 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts187 -> s221 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts187 -> s187 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts187 -> s187 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts187 -> s187 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts187 -> s187 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts187 -> s187 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts187 -> s134 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts187 -> s133 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts187 -> s187 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts187 -> s187 [label=\"c1_publish / c3_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_PUBACK__c2_Empty\"];\n\ts187 -> s187 [label=\"c2_publish / c3_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_Empty__c2_PUBACK\"];\n\ts187 -> s187 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts187 -> s187 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts188 -> s205 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts188 -> s93 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts188 -> s88 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts188 -> s84 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts188 -> s218 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts188 -> s188 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts188 -> s93 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts188 -> s88 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts188 -> s84 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts188 -> s188 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts188 -> s188 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts188 -> s188 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts188 -> s188 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts188 -> s188 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts188 -> s188 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts188 -> s188 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts188 -> s137 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts188 -> s136 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts188 -> s135 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts188 -> s188 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts188 -> s188 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts188 -> s188 [label=\"c1_publish / c3_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts188 -> s188 [label=\"c2_publish / c3_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts188 -> s188 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_CONCLOSED__c1_PUBLISH__c2_PUBLISH\"];\n\ts188 -> s188 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts189 -> s209 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts189 -> s94 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts189 -> s89 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts189 -> s219 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts189 -> s84 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts189 -> s189 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts189 -> s94 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts189 -> s89 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts189 -> s189 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts189 -> s84 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts189 -> s189 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts189 -> s189 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts189 -> s189 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts189 -> s189 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts189 -> s189 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts189 -> s189 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts189 -> s140 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts189 -> s139 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts189 -> s189 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts189 -> s138 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts189 -> s189 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts189 -> s189 [label=\"c1_publish / c3_CONCLOSED__c4_PUBLISH__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts189 -> s189 [label=\"c2_publish / c3_CONCLOSED__c4_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts189 -> s189 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts189 -> s189 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_PUBLISH\"];\n\ts190 -> s213 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_CONCLOSED\"];\n\ts190 -> s95 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts190 -> s220 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONNACK\"];\n\ts190 -> s89 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts190 -> s88 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts190 -> s190 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts190 -> s95 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts190 -> s190 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts190 -> s89 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts190 -> s88 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts190 -> s190 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts190 -> s190 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_CONCLOSED\"];\n\ts190 -> s190 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts190 -> s190 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts190 -> s190 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts190 -> s190 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts190 -> s143 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts190 -> s190 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts190 -> s142 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts190 -> s141 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts190 -> s190 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts190 -> s190 [label=\"c1_publish / c3_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts190 -> s190 [label=\"c2_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts190 -> s190 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_CONCLOSED\"];\n\ts190 -> s190 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_CONCLOSED\"];\n\ts191 -> s217 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_CONCLOSED__c2_Empty\"];\n\ts191 -> s221 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONNACK__c2_Empty\"];\n\ts191 -> s95 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts191 -> s94 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts191 -> s93 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts191 -> s191 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts191 -> s191 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts191 -> s95 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts191 -> s94 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts191 -> s93 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts191 -> s191 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts191 -> s191 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts191 -> s191 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_SUBACK\"];\n\ts191 -> s191 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts191 -> s191 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts191 -> s191 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts191 -> s191 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts191 -> s146 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts191 -> s145 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts191 -> s144 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts191 -> s191 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts191 -> s191 [label=\"c1_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts191 -> s191 [label=\"c2_publish / c3_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts191 -> s191 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_PUBLISH\"];\n\ts191 -> s191 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_CONCLOSED__c2_PUBLISH\"];\n\ts192 -> s131 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts192 -> s118 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts192 -> s165 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts192 -> s158 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts192 -> s152 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts192 -> s131 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts192 -> s118 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts192 -> s165 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts192 -> s158 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts192 -> s152 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts192 -> s192 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts192 -> s192 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts192 -> s222 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts192 -> s223 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts192 -> s224 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts192 -> s148 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts192 -> s147 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts192 -> s192 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts192 -> s192 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts192 -> s192 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts192 -> s192 [label=\"c0_publish / c3_Empty__c4_Empty__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts192 -> s192 [label=\"c1_publish / c3_Empty__c4_Empty__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts192 -> s192 [label=\"c2_publish / c3_Empty__c4_Empty__c0_PUBLISH__c1_PUBLISH__c2_PUBACK\"];\n\ts192 -> s192 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts192 -> s192 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts193 -> s132 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts193 -> s173 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts193 -> s108 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts193 -> s159 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts193 -> s153 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts193 -> s132 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts193 -> s173 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts193 -> s108 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts193 -> s159 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts193 -> s153 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts193 -> s193 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts193 -> s222 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts193 -> s193 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts193 -> s225 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts193 -> s226 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts193 -> s149 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts193 -> s193 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts193 -> s147 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts193 -> s193 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts193 -> s193 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts193 -> s193 [label=\"c0_publish / c3_Empty__c4_Empty__c0_PUBACK_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts193 -> s193 [label=\"c1_publish / c3_Empty__c4_Empty__c0_PUBLISH__c1_PUBACK__c2_PUBLISH\"];\n\ts193 -> s193 [label=\"c2_publish / c3_Empty__c4_Empty__c0_PUBLISH__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts193 -> s193 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts193 -> s193 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts194 -> s133 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts194 -> s174 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts194 -> s166 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts194 -> s101 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts194 -> s154 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts194 -> s133 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts194 -> s174 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts194 -> s166 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts194 -> s101 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts194 -> s154 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts194 -> s194 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts194 -> s223 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts194 -> s225 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts194 -> s194 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts194 -> s227 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts194 -> s150 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts194 -> s194 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts194 -> s194 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts194 -> s147 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts194 -> s194 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts194 -> s194 [label=\"c0_publish / c3_PUBLISH__c4_Empty__c0_PUBACK_PUBLISH__c1_Empty__c2_Empty\"];\n\ts194 -> s194 [label=\"c1_publish / c3_PUBLISH__c4_Empty__c0_PUBLISH__c1_PUBACK__c2_Empty\"];\n\ts194 -> s194 [label=\"c2_publish / c3_PUBLISH__c4_Empty__c0_PUBLISH__c1_Empty__c2_PUBACK\"];\n\ts194 -> s194 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_PUBLISH__c1_Empty__c2_Empty\"];\n\ts194 -> s194 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_PUBLISH__c1_Empty__c2_Empty\"];\n\ts195 -> s134 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts195 -> s175 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts195 -> s167 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts195 -> s160 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts195 -> s97 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts195 -> s134 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts195 -> s175 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts195 -> s167 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts195 -> s160 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts195 -> s97 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts195 -> s195 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts195 -> s224 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts195 -> s226 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts195 -> s227 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts195 -> s195 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts195 -> s151 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts195 -> s195 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts195 -> s195 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts195 -> s195 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts195 -> s147 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts195 -> s195 [label=\"c0_publish / c3_Empty__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_Empty__c2_Empty\"];\n\ts195 -> s195 [label=\"c1_publish / c3_Empty__c4_PUBLISH__c0_PUBLISH__c1_PUBACK__c2_Empty\"];\n\ts195 -> s195 [label=\"c2_publish / c3_Empty__c4_PUBLISH__c0_PUBLISH__c1_Empty__c2_PUBACK\"];\n\ts195 -> s195 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_PUBLISH__c1_Empty__c2_Empty\"];\n\ts195 -> s195 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_Empty__c2_Empty\"];\n\ts196 -> s182 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts196 -> s119 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts196 -> s109 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts196 -> s161 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts196 -> s155 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts196 -> s182 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts196 -> s119 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts196 -> s109 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts196 -> s161 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts196 -> s155 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts196 -> s222 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts196 -> s196 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts196 -> s196 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts196 -> s228 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts196 -> s229 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts196 -> s196 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts196 -> s149 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts196 -> s148 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts196 -> s196 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts196 -> s196 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts196 -> s196 [label=\"c0_publish / c3_Empty__c4_Empty__c0_PUBACK__c1_PUBLISH__c2_PUBLISH\"];\n\ts196 -> s196 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts196 -> s196 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts196 -> s196 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_Empty__c1_PUBLISH__c2_PUBLISH\"];\n\ts196 -> s196 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_Empty__c1_PUBLISH__c2_PUBLISH\"];\n\ts197 -> s183 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts197 -> s120 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts197 -> s168 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts197 -> s102 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts197 -> s156 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts197 -> s183 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts197 -> s120 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts197 -> s168 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts197 -> s102 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts197 -> s156 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts197 -> s223 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts197 -> s197 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts197 -> s228 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts197 -> s197 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts197 -> s230 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts197 -> s197 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts197 -> s150 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts197 -> s197 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts197 -> s148 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts197 -> s197 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts197 -> s197 [label=\"c0_publish / c3_PUBLISH__c4_Empty__c0_PUBACK__c1_PUBLISH__c2_Empty\"];\n\ts197 -> s197 [label=\"c1_publish / c3_PUBLISH__c4_Empty__c0_Empty__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts197 -> s197 [label=\"c2_publish / c3_PUBLISH__c4_Empty__c0_Empty__c1_PUBLISH__c2_PUBACK\"];\n\ts197 -> s197 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_Empty__c1_PUBLISH__c2_Empty\"];\n\ts197 -> s197 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_Empty__c1_PUBLISH__c2_Empty\"];\n\ts198 -> s184 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts198 -> s121 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts198 -> s169 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts198 -> s162 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts198 -> s98 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts198 -> s184 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts198 -> s121 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts198 -> s169 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts198 -> s162 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts198 -> s98 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts198 -> s224 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts198 -> s198 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts198 -> s229 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts198 -> s230 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts198 -> s198 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts198 -> s198 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts198 -> s151 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts198 -> s198 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts198 -> s198 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts198 -> s148 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts198 -> s198 [label=\"c0_publish / c3_Empty__c4_PUBLISH__c0_PUBACK__c1_PUBLISH__c2_Empty\"];\n\ts198 -> s198 [label=\"c1_publish / c3_Empty__c4_PUBLISH__c0_Empty__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts198 -> s198 [label=\"c2_publish / c3_Empty__c4_PUBLISH__c0_Empty__c1_PUBLISH__c2_PUBACK\"];\n\ts198 -> s198 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_Empty__c1_PUBLISH__c2_Empty\"];\n\ts198 -> s198 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_Empty__c1_PUBLISH__c2_Empty\"];\n\ts199 -> s185 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts199 -> s176 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts199 -> s110 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts199 -> s103 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts199 -> s157 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts199 -> s185 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts199 -> s176 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts199 -> s110 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts199 -> s103 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts199 -> s157 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts199 -> s225 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts199 -> s228 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts199 -> s199 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts199 -> s199 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts199 -> s231 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts199 -> s199 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts199 -> s199 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts199 -> s150 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts199 -> s149 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts199 -> s199 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts199 -> s199 [label=\"c0_publish / c3_PUBLISH__c4_Empty__c0_PUBACK__c1_Empty__c2_PUBLISH\"];\n\ts199 -> s199 [label=\"c1_publish / c3_PUBLISH__c4_Empty__c0_Empty__c1_PUBACK__c2_PUBLISH\"];\n\ts199 -> s199 [label=\"c2_publish / c3_PUBLISH__c4_Empty__c0_Empty__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts199 -> s199 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_Empty__c1_Empty__c2_PUBLISH\"];\n\ts199 -> s199 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_Empty__c1_Empty__c2_PUBLISH\"];\n\ts200 -> s186 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts200 -> s177 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts200 -> s111 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts200 -> s163 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts200 -> s99 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts200 -> s186 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts200 -> s177 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts200 -> s111 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts200 -> s163 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts200 -> s99 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts200 -> s226 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts200 -> s229 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts200 -> s200 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts200 -> s231 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts200 -> s200 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts200 -> s200 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts200 -> s200 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts200 -> s151 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts200 -> s200 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts200 -> s149 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts200 -> s200 [label=\"c0_publish / c3_Empty__c4_PUBLISH__c0_PUBACK__c1_Empty__c2_PUBLISH\"];\n\ts200 -> s200 [label=\"c1_publish / c3_Empty__c4_PUBLISH__c0_Empty__c1_PUBACK__c2_PUBLISH\"];\n\ts200 -> s200 [label=\"c2_publish / c3_Empty__c4_PUBLISH__c0_Empty__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts200 -> s200 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_Empty__c1_Empty__c2_PUBLISH\"];\n\ts200 -> s200 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_Empty__c1_Empty__c2_PUBLISH\"];\n\ts201 -> s187 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts201 -> s178 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts201 -> s170 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts201 -> s104 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts201 -> s100 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts201 -> s187 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts201 -> s178 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts201 -> s170 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts201 -> s104 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts201 -> s100 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts201 -> s227 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts201 -> s230 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts201 -> s231 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts201 -> s201 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts201 -> s201 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts201 -> s201 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts201 -> s201 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts201 -> s201 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts201 -> s151 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts201 -> s150 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts201 -> s201 [label=\"c0_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBACK__c1_Empty__c2_Empty\"];\n\ts201 -> s201 [label=\"c1_publish / c3_PUBLISH__c4_PUBLISH__c0_Empty__c1_PUBACK__c2_Empty\"];\n\ts201 -> s201 [label=\"c2_publish / c3_PUBLISH__c4_PUBLISH__c0_Empty__c1_Empty__c2_PUBACK\"];\n\ts201 -> s201 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_Empty__c1_Empty__c2_Empty\"];\n\ts201 -> s201 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_Empty__c1_Empty__c2_Empty\"];\n\ts202 -> s135 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts202 -> s122 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts202 -> s112 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts202 -> s164 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts202 -> s222 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts202 -> s135 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts202 -> s122 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts202 -> s112 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts202 -> s164 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts202 -> s202 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts202 -> s202 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts202 -> s202 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts202 -> s202 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts202 -> s232 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts202 -> s202 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts202 -> s155 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts202 -> s153 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts202 -> s152 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts202 -> s202 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts202 -> s202 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts202 -> s202 [label=\"c0_publish / c3_Empty__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\ts202 -> s202 [label=\"c1_publish / c3_Empty__c4_CONCLOSED__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts202 -> s202 [label=\"c2_publish / c3_Empty__c4_CONCLOSED__c0_PUBLISH__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts202 -> s202 [label=\"c3_publish / c3_PUBACK__c4_CONCLOSED__c0_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\ts202 -> s202 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts203 -> s136 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts203 -> s123 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts203 -> s171 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts203 -> s105 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts203 -> s223 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts203 -> s136 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts203 -> s123 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts203 -> s171 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts203 -> s105 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts203 -> s203 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts203 -> s203 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts203 -> s203 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts203 -> s232 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts203 -> s203 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts203 -> s203 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts203 -> s156 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts203 -> s154 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts203 -> s203 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts203 -> s152 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts203 -> s203 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts203 -> s203 [label=\"c0_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts203 -> s203 [label=\"c1_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts203 -> s203 [label=\"c2_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_PUBLISH__c2_PUBACK\"];\n\ts203 -> s203 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts203 -> s203 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts204 -> s137 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts204 -> s179 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts204 -> s113 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts204 -> s106 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts204 -> s225 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts204 -> s137 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts204 -> s179 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts204 -> s113 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts204 -> s106 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts204 -> s204 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts204 -> s204 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts204 -> s232 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts204 -> s204 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts204 -> s204 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts204 -> s204 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts204 -> s157 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts204 -> s204 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts204 -> s154 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts204 -> s153 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts204 -> s204 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts204 -> s204 [label=\"c0_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts204 -> s204 [label=\"c1_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_PUBACK__c2_PUBLISH\"];\n\ts204 -> s204 [label=\"c2_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts204 -> s204 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts204 -> s204 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts205 -> s188 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts205 -> s124 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts205 -> s114 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts205 -> s107 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts205 -> s228 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts205 -> s188 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts205 -> s124 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts205 -> s114 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts205 -> s107 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts205 -> s205 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts205 -> s232 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts205 -> s205 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts205 -> s205 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts205 -> s205 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts205 -> s205 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts205 -> s205 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts205 -> s157 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts205 -> s156 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts205 -> s155 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts205 -> s205 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts205 -> s205 [label=\"c0_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBACK__c1_PUBLISH__c2_PUBLISH\"];\n\ts205 -> s205 [label=\"c1_publish / c3_PUBLISH__c4_CONCLOSED__c0_Empty__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts205 -> s205 [label=\"c2_publish / c3_PUBLISH__c4_CONCLOSED__c0_Empty__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts205 -> s205 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_Empty__c1_PUBLISH__c2_PUBLISH\"];\n\ts205 -> s205 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts206 -> s138 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts206 -> s125 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts206 -> s115 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts206 -> s222 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts206 -> s164 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts206 -> s138 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts206 -> s125 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts206 -> s115 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts206 -> s206 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts206 -> s164 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts206 -> s206 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts206 -> s206 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts206 -> s206 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts206 -> s206 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts206 -> s233 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts206 -> s161 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts206 -> s159 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts206 -> s158 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts206 -> s206 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts206 -> s206 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts206 -> s206 [label=\"c0_publish / c3_CONCLOSED__c4_Empty__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\ts206 -> s206 [label=\"c1_publish / c3_CONCLOSED__c4_Empty__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts206 -> s206 [label=\"c2_publish / c3_CONCLOSED__c4_Empty__c0_PUBLISH__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts206 -> s206 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts206 -> s206 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK__c0_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\ts207 -> s139 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts207 -> s126 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts207 -> s172 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts207 -> s224 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts207 -> s105 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts207 -> s139 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts207 -> s126 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts207 -> s172 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts207 -> s207 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts207 -> s105 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts207 -> s207 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts207 -> s207 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts207 -> s233 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts207 -> s207 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts207 -> s207 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts207 -> s162 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts207 -> s160 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts207 -> s207 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts207 -> s207 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts207 -> s158 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts207 -> s207 [label=\"c0_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts207 -> s207 [label=\"c1_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts207 -> s207 [label=\"c2_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_PUBACK\"];\n\ts207 -> s207 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts207 -> s207 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts208 -> s140 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts208 -> s180 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts208 -> s116 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts208 -> s226 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts208 -> s106 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts208 -> s140 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts208 -> s180 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts208 -> s116 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts208 -> s208 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts208 -> s106 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts208 -> s208 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts208 -> s233 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts208 -> s208 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts208 -> s208 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts208 -> s208 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts208 -> s163 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts208 -> s208 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts208 -> s160 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts208 -> s208 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts208 -> s159 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts208 -> s208 [label=\"c0_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts208 -> s208 [label=\"c1_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBLISH__c1_PUBACK__c2_PUBLISH\"];\n\ts208 -> s208 [label=\"c2_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBLISH__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts208 -> s208 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts208 -> s208 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts209 -> s189 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts209 -> s127 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts209 -> s117 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts209 -> s229 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts209 -> s107 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts209 -> s189 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts209 -> s127 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts209 -> s117 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts209 -> s209 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts209 -> s107 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts209 -> s233 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts209 -> s209 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts209 -> s209 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts209 -> s209 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts209 -> s209 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts209 -> s209 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts209 -> s163 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts209 -> s162 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts209 -> s209 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts209 -> s161 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts209 -> s209 [label=\"c0_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBACK__c1_PUBLISH__c2_PUBLISH\"];\n\ts209 -> s209 [label=\"c1_publish / c3_CONCLOSED__c4_PUBLISH__c0_Empty__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts209 -> s209 [label=\"c2_publish / c3_CONCLOSED__c4_PUBLISH__c0_Empty__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts209 -> s209 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts209 -> s209 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_Empty__c1_PUBLISH__c2_PUBLISH\"];\n\ts210 -> s141 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts210 -> s128 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts210 -> s223 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts210 -> s115 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts210 -> s171 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts210 -> s141 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts210 -> s128 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts210 -> s210 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts210 -> s115 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts210 -> s171 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts210 -> s210 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts210 -> s210 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts210 -> s210 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts210 -> s210 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts210 -> s234 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts210 -> s168 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts210 -> s166 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts210 -> s210 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts210 -> s165 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts210 -> s210 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts210 -> s210 [label=\"c0_publish / c3_PUBLISH__c4_Empty__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts210 -> s210 [label=\"c1_publish / c3_PUBLISH__c4_Empty__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts210 -> s210 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts210 -> s210 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts210 -> s210 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts211 -> s142 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts211 -> s129 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts211 -> s224 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts211 -> s172 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts211 -> s112 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts211 -> s142 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts211 -> s129 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts211 -> s211 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts211 -> s172 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts211 -> s112 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts211 -> s211 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts211 -> s211 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts211 -> s211 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts211 -> s234 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts211 -> s211 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts211 -> s169 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts211 -> s167 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts211 -> s211 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts211 -> s211 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts211 -> s165 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts211 -> s211 [label=\"c0_publish / c3_Empty__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts211 -> s211 [label=\"c1_publish / c3_Empty__c4_PUBLISH__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts211 -> s211 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts211 -> s211 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts211 -> s211 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts212 -> s143 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts212 -> s181 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts212 -> s227 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts212 -> s116 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts212 -> s113 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts212 -> s143 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts212 -> s181 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts212 -> s212 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts212 -> s116 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts212 -> s113 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts212 -> s212 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts212 -> s234 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts212 -> s212 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts212 -> s212 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts212 -> s212 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts212 -> s170 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts212 -> s212 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts212 -> s212 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts212 -> s167 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts212 -> s166 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts212 -> s212 [label=\"c0_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts212 -> s212 [label=\"c1_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_PUBACK__c2_CONCLOSED\"];\n\ts212 -> s212 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts212 -> s212 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts212 -> s212 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_Empty__c2_CONCLOSED\"];\n\ts213 -> s190 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts213 -> s130 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts213 -> s230 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts213 -> s117 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts213 -> s114 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts213 -> s190 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts213 -> s130 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts213 -> s213 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts213 -> s117 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts213 -> s114 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts213 -> s234 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts213 -> s213 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts213 -> s213 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts213 -> s213 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts213 -> s213 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts213 -> s213 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts213 -> s170 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts213 -> s213 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts213 -> s169 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts213 -> s168 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts213 -> s213 [label=\"c0_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBACK__c1_PUBLISH__c2_CONCLOSED\"];\n\ts213 -> s213 [label=\"c1_publish / c3_PUBLISH__c4_PUBLISH__c0_Empty__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts213 -> s213 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts213 -> s213 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_Empty__c1_PUBLISH__c2_CONCLOSED\"];\n\ts213 -> s213 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_Empty__c1_PUBLISH__c2_CONCLOSED\"];\n\ts214 -> s144 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts214 -> s225 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts214 -> s128 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts214 -> s125 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts214 -> s179 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts214 -> s144 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts214 -> s214 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts214 -> s128 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts214 -> s125 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts214 -> s179 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts214 -> s214 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts214 -> s214 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts214 -> s214 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts214 -> s214 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts214 -> s235 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts214 -> s176 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts214 -> s214 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts214 -> s174 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts214 -> s173 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts214 -> s214 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts214 -> s214 [label=\"c0_publish / c3_PUBLISH__c4_Empty__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts214 -> s214 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts214 -> s214 [label=\"c2_publish / c3_PUBLISH__c4_Empty__c0_PUBLISH__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts214 -> s214 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts214 -> s214 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts215 -> s145 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts215 -> s226 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts215 -> s129 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts215 -> s180 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts215 -> s122 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts215 -> s145 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts215 -> s215 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts215 -> s129 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts215 -> s180 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts215 -> s122 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts215 -> s215 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts215 -> s215 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts215 -> s215 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts215 -> s235 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts215 -> s215 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts215 -> s177 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts215 -> s215 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts215 -> s175 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts215 -> s215 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts215 -> s173 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts215 -> s215 [label=\"c0_publish / c3_Empty__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts215 -> s215 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts215 -> s215 [label=\"c2_publish / c3_Empty__c4_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts215 -> s215 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts215 -> s215 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts216 -> s146 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts216 -> s227 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts216 -> s181 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts216 -> s126 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts216 -> s123 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts216 -> s146 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts216 -> s216 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts216 -> s181 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts216 -> s126 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts216 -> s123 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts216 -> s216 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts216 -> s216 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts216 -> s235 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts216 -> s216 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts216 -> s216 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts216 -> s178 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts216 -> s216 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts216 -> s216 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts216 -> s175 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts216 -> s174 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts216 -> s216 [label=\"c0_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts216 -> s216 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts216 -> s216 [label=\"c2_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_PUBACK\"];\n\ts216 -> s216 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts216 -> s216 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_Empty\"];\n\ts217 -> s191 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts217 -> s231 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts217 -> s130 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts217 -> s127 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts217 -> s124 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts217 -> s191 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts217 -> s217 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts217 -> s130 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts217 -> s127 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts217 -> s124 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts217 -> s235 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts217 -> s217 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts217 -> s217 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts217 -> s217 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts217 -> s217 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts217 -> s217 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts217 -> s217 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts217 -> s178 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts217 -> s177 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts217 -> s176 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts217 -> s217 [label=\"c0_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBACK__c1_CONCLOSED__c2_PUBLISH\"];\n\ts217 -> s217 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts217 -> s217 [label=\"c2_publish / c3_PUBLISH__c4_PUBLISH__c0_Empty__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts217 -> s217 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_Empty__c1_CONCLOSED__c2_PUBLISH\"];\n\ts217 -> s217 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_Empty__c1_CONCLOSED__c2_PUBLISH\"];\n\ts218 -> s228 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts218 -> s144 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts218 -> s141 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts218 -> s138 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts218 -> s188 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts218 -> s218 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts218 -> s144 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts218 -> s141 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts218 -> s138 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts218 -> s188 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts218 -> s218 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts218 -> s218 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts218 -> s218 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts218 -> s218 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts218 -> s236 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts218 -> s218 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts218 -> s185 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts218 -> s183 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts218 -> s182 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts218 -> s218 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts218 -> s218 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts218 -> s218 [label=\"c1_publish / c3_PUBLISH__c4_Empty__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts218 -> s218 [label=\"c2_publish / c3_PUBLISH__c4_Empty__c0_CONCLOSED__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts218 -> s218 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_CONCLOSED__c1_PUBLISH__c2_PUBLISH\"];\n\ts218 -> s218 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_CONCLOSED__c1_PUBLISH__c2_PUBLISH\"];\n\ts219 -> s229 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts219 -> s145 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts219 -> s142 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts219 -> s189 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts219 -> s135 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts219 -> s219 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts219 -> s145 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts219 -> s142 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts219 -> s189 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts219 -> s135 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts219 -> s219 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts219 -> s219 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts219 -> s219 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts219 -> s236 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts219 -> s219 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts219 -> s219 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts219 -> s186 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts219 -> s184 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts219 -> s219 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts219 -> s182 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts219 -> s219 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts219 -> s219 [label=\"c1_publish / c3_Empty__c4_PUBLISH__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts219 -> s219 [label=\"c2_publish / c3_Empty__c4_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts219 -> s219 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_PUBLISH\"];\n\ts219 -> s219 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_PUBLISH\"];\n\ts220 -> s230 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts220 -> s146 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts220 -> s190 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts220 -> s139 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts220 -> s136 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts220 -> s220 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts220 -> s146 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts220 -> s190 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts220 -> s139 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts220 -> s136 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts220 -> s220 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts220 -> s220 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts220 -> s236 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts220 -> s220 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts220 -> s220 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts220 -> s220 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts220 -> s187 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts220 -> s220 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts220 -> s184 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts220 -> s183 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts220 -> s220 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts220 -> s220 [label=\"c1_publish / c3_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts220 -> s220 [label=\"c2_publish / c3_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_PUBACK\"];\n\ts220 -> s220 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_Empty\"];\n\ts220 -> s220 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_Empty\"];\n\ts221 -> s231 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts221 -> s191 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts221 -> s143 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts221 -> s140 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts221 -> s137 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts221 -> s221 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts221 -> s191 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts221 -> s143 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts221 -> s140 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts221 -> s137 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts221 -> s221 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts221 -> s236 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts221 -> s221 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts221 -> s221 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts221 -> s221 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts221 -> s221 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts221 -> s221 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts221 -> s187 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts221 -> s186 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts221 -> s185 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts221 -> s221 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts221 -> s221 [label=\"c1_publish / c3_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_PUBACK__c2_PUBLISH\"];\n\ts221 -> s221 [label=\"c2_publish / c3_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts221 -> s221 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_Empty__c2_PUBLISH\"];\n\ts221 -> s221 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_Empty__c2_PUBLISH\"];\n\ts222 -> s182 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts222 -> s173 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts222 -> s165 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts222 -> s206 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts222 -> s202 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts222 -> s182 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts222 -> s173 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts222 -> s165 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts222 -> s206 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts222 -> s202 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts222 -> s222 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts222 -> s222 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts222 -> s222 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts222 -> s237 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts222 -> s238 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts222 -> s196 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts222 -> s193 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts222 -> s192 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts222 -> s222 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts222 -> s222 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts222 -> s222 [label=\"c0_publish / c3_Empty__c4_Empty__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\ts222 -> s222 [label=\"c1_publish / c3_Empty__c4_Empty__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts222 -> s222 [label=\"c2_publish / c3_Empty__c4_Empty__c0_PUBLISH__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts222 -> s222 [label=\"c3_publish / c3_PUBACK__c4_Empty__c0_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\ts222 -> s222 [label=\"c4_publish / c3_Empty__c4_PUBACK__c0_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\ts223 -> s183 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts223 -> s174 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts223 -> s210 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts223 -> s158 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts223 -> s203 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts223 -> s183 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts223 -> s174 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts223 -> s210 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts223 -> s158 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts223 -> s203 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts223 -> s223 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts223 -> s223 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts223 -> s237 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts223 -> s223 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts223 -> s239 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts223 -> s197 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts223 -> s194 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts223 -> s223 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts223 -> s192 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts223 -> s223 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts223 -> s223 [label=\"c0_publish / c3_PUBLISH__c4_Empty__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts223 -> s223 [label=\"c1_publish / c3_PUBLISH__c4_Empty__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts223 -> s223 [label=\"c2_publish / c3_PUBLISH__c4_Empty__c0_PUBLISH__c1_PUBLISH__c2_PUBACK\"];\n\ts223 -> s223 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts223 -> s223 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts224 -> s184 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts224 -> s175 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts224 -> s211 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts224 -> s207 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts224 -> s152 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts224 -> s184 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts224 -> s175 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts224 -> s211 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts224 -> s207 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts224 -> s152 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts224 -> s224 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts224 -> s224 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts224 -> s238 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts224 -> s239 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts224 -> s224 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts224 -> s198 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts224 -> s195 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts224 -> s224 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts224 -> s224 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts224 -> s192 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts224 -> s224 [label=\"c0_publish / c3_Empty__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts224 -> s224 [label=\"c1_publish / c3_Empty__c4_PUBLISH__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts224 -> s224 [label=\"c2_publish / c3_Empty__c4_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_PUBACK\"];\n\ts224 -> s224 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts224 -> s224 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts225 -> s185 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts225 -> s214 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts225 -> s166 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts225 -> s159 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts225 -> s204 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts225 -> s185 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts225 -> s214 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts225 -> s166 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts225 -> s159 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts225 -> s204 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts225 -> s225 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts225 -> s237 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts225 -> s225 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts225 -> s225 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts225 -> s240 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts225 -> s199 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts225 -> s225 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts225 -> s194 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts225 -> s193 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts225 -> s225 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts225 -> s225 [label=\"c0_publish / c3_PUBLISH__c4_Empty__c0_PUBACK_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts225 -> s225 [label=\"c1_publish / c3_PUBLISH__c4_Empty__c0_PUBLISH__c1_PUBACK__c2_PUBLISH\"];\n\ts225 -> s225 [label=\"c2_publish / c3_PUBLISH__c4_Empty__c0_PUBLISH__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts225 -> s225 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts225 -> s225 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts226 -> s186 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts226 -> s215 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts226 -> s167 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts226 -> s208 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts226 -> s153 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts226 -> s186 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts226 -> s215 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts226 -> s167 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts226 -> s208 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts226 -> s153 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts226 -> s226 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts226 -> s238 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts226 -> s226 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts226 -> s240 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts226 -> s226 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts226 -> s200 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts226 -> s226 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts226 -> s195 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts226 -> s226 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts226 -> s193 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts226 -> s226 [label=\"c0_publish / c3_Empty__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts226 -> s226 [label=\"c1_publish / c3_Empty__c4_PUBLISH__c0_PUBLISH__c1_PUBACK__c2_PUBLISH\"];\n\ts226 -> s226 [label=\"c2_publish / c3_Empty__c4_PUBLISH__c0_PUBLISH__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts226 -> s226 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts226 -> s226 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts227 -> s187 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts227 -> s216 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts227 -> s212 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts227 -> s160 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts227 -> s154 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts227 -> s187 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts227 -> s216 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts227 -> s212 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts227 -> s160 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts227 -> s154 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts227 -> s227 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts227 -> s239 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts227 -> s240 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts227 -> s227 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts227 -> s227 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts227 -> s201 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts227 -> s227 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts227 -> s227 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts227 -> s195 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts227 -> s194 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts227 -> s227 [label=\"c0_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_Empty__c2_Empty\"];\n\ts227 -> s227 [label=\"c1_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_PUBACK__c2_Empty\"];\n\ts227 -> s227 [label=\"c2_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_Empty__c2_PUBACK\"];\n\ts227 -> s227 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_Empty__c2_Empty\"];\n\ts227 -> s227 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_Empty__c2_Empty\"];\n\ts228 -> s218 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts228 -> s176 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts228 -> s168 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts228 -> s161 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts228 -> s205 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts228 -> s218 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts228 -> s176 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts228 -> s168 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts228 -> s161 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts228 -> s205 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts228 -> s237 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts228 -> s228 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts228 -> s228 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts228 -> s228 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts228 -> s241 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts228 -> s228 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts228 -> s199 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts228 -> s197 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts228 -> s196 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts228 -> s228 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts228 -> s228 [label=\"c0_publish / c3_PUBLISH__c4_Empty__c0_PUBACK__c1_PUBLISH__c2_PUBLISH\"];\n\ts228 -> s228 [label=\"c1_publish / c3_PUBLISH__c4_Empty__c0_Empty__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts228 -> s228 [label=\"c2_publish / c3_PUBLISH__c4_Empty__c0_Empty__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts228 -> s228 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_Empty__c1_PUBLISH__c2_PUBLISH\"];\n\ts228 -> s228 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_Empty__c1_PUBLISH__c2_PUBLISH\"];\n\ts229 -> s219 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts229 -> s177 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts229 -> s169 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts229 -> s209 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts229 -> s155 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts229 -> s219 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts229 -> s177 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts229 -> s169 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts229 -> s209 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts229 -> s155 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts229 -> s238 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts229 -> s229 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts229 -> s229 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts229 -> s241 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts229 -> s229 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts229 -> s229 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts229 -> s200 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts229 -> s198 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts229 -> s229 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts229 -> s196 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts229 -> s229 [label=\"c0_publish / c3_Empty__c4_PUBLISH__c0_PUBACK__c1_PUBLISH__c2_PUBLISH\"];\n\ts229 -> s229 [label=\"c1_publish / c3_Empty__c4_PUBLISH__c0_Empty__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts229 -> s229 [label=\"c2_publish / c3_Empty__c4_PUBLISH__c0_Empty__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts229 -> s229 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_Empty__c1_PUBLISH__c2_PUBLISH\"];\n\ts229 -> s229 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_Empty__c1_PUBLISH__c2_PUBLISH\"];\n\ts230 -> s220 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts230 -> s178 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts230 -> s213 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts230 -> s162 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts230 -> s156 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts230 -> s220 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts230 -> s178 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts230 -> s213 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts230 -> s162 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts230 -> s156 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts230 -> s239 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts230 -> s230 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts230 -> s241 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts230 -> s230 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts230 -> s230 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts230 -> s230 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts230 -> s201 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts230 -> s230 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts230 -> s198 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts230 -> s197 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts230 -> s230 [label=\"c0_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBACK__c1_PUBLISH__c2_Empty\"];\n\ts230 -> s230 [label=\"c1_publish / c3_PUBLISH__c4_PUBLISH__c0_Empty__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts230 -> s230 [label=\"c2_publish / c3_PUBLISH__c4_PUBLISH__c0_Empty__c1_PUBLISH__c2_PUBACK\"];\n\ts230 -> s230 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_Empty__c1_PUBLISH__c2_Empty\"];\n\ts230 -> s230 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_Empty__c1_PUBLISH__c2_Empty\"];\n\ts231 -> s221 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts231 -> s217 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts231 -> s170 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts231 -> s163 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts231 -> s157 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts231 -> s221 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts231 -> s217 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts231 -> s170 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts231 -> s163 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts231 -> s157 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts231 -> s240 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts231 -> s241 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts231 -> s231 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts231 -> s231 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts231 -> s231 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts231 -> s231 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts231 -> s231 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts231 -> s201 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts231 -> s200 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts231 -> s199 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts231 -> s231 [label=\"c0_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBACK__c1_Empty__c2_PUBLISH\"];\n\ts231 -> s231 [label=\"c1_publish / c3_PUBLISH__c4_PUBLISH__c0_Empty__c1_PUBACK__c2_PUBLISH\"];\n\ts231 -> s231 [label=\"c2_publish / c3_PUBLISH__c4_PUBLISH__c0_Empty__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts231 -> s231 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_Empty__c1_Empty__c2_PUBLISH\"];\n\ts231 -> s231 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_Empty__c1_Empty__c2_PUBLISH\"];\n\ts232 -> s188 [label=\"c0_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts232 -> s179 [label=\"c1_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts232 -> s171 [label=\"c2_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts232 -> s164 [label=\"c3_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts232 -> s237 [label=\"c4_connect / c3_Empty__c4_CONNACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts232 -> s188 [label=\"c0_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts232 -> s179 [label=\"c1_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts232 -> s171 [label=\"c2_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts232 -> s164 [label=\"c3_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts232 -> s232 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts232 -> s232 [label=\"c0_subscribe / c3_Empty__c4_CONCLOSED__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts232 -> s232 [label=\"c1_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts232 -> s232 [label=\"c2_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts232 -> s232 [label=\"c3_subscribe / c3_SUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts232 -> s232 [label=\"c4_subscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts232 -> s205 [label=\"c0_unsubscribe / c3_Empty__c4_CONCLOSED__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts232 -> s204 [label=\"c1_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts232 -> s203 [label=\"c2_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts232 -> s202 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts232 -> s232 [label=\"c4_unsubscribe / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts232 -> s232 [label=\"c0_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\ts232 -> s232 [label=\"c1_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts232 -> s232 [label=\"c2_publish / c3_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts232 -> s232 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_CONCLOSED__c0_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\ts232 -> s232 [label=\"c4_publish / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts233 -> s189 [label=\"c0_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts233 -> s180 [label=\"c1_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts233 -> s172 [label=\"c2_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts233 -> s238 [label=\"c3_connect / c3_CONNACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts233 -> s164 [label=\"c4_connect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts233 -> s189 [label=\"c0_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts233 -> s180 [label=\"c1_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts233 -> s172 [label=\"c2_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts233 -> s233 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts233 -> s164 [label=\"c4_disconnect / c3_CONCLOSED__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts233 -> s233 [label=\"c0_subscribe / c3_CONCLOSED__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts233 -> s233 [label=\"c1_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts233 -> s233 [label=\"c2_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts233 -> s233 [label=\"c3_subscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts233 -> s233 [label=\"c4_subscribe / c3_CONCLOSED__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts233 -> s209 [label=\"c0_unsubscribe / c3_CONCLOSED__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts233 -> s208 [label=\"c1_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts233 -> s207 [label=\"c2_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts233 -> s233 [label=\"c3_unsubscribe / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts233 -> s206 [label=\"c4_unsubscribe / c3_CONCLOSED__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts233 -> s233 [label=\"c0_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\ts233 -> s233 [label=\"c1_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts233 -> s233 [label=\"c2_publish / c3_CONCLOSED__c4_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts233 -> s233 [label=\"c3_publish / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts233 -> s233 [label=\"c4_publish / c3_CONCLOSED__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\ts234 -> s190 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts234 -> s181 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts234 -> s239 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONNACK\"];\n\ts234 -> s172 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts234 -> s171 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts234 -> s190 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts234 -> s181 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts234 -> s234 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts234 -> s172 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts234 -> s171 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts234 -> s234 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts234 -> s234 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_CONCLOSED\"];\n\ts234 -> s234 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts234 -> s234 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts234 -> s234 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts234 -> s213 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_CONCLOSED\"];\n\ts234 -> s212 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_CONCLOSED\"];\n\ts234 -> s234 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts234 -> s211 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts234 -> s210 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts234 -> s234 [label=\"c0_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts234 -> s234 [label=\"c1_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_CONCLOSED\"];\n\ts234 -> s234 [label=\"c2_publish / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts234 -> s234 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts234 -> s234 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_CONCLOSED\"];\n\ts235 -> s191 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts235 -> s240 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONNACK__c2_Empty\"];\n\ts235 -> s181 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts235 -> s180 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts235 -> s179 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts235 -> s191 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts235 -> s235 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts235 -> s181 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_CONCLOSED\"];\n\ts235 -> s180 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts235 -> s179 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts235 -> s235 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts235 -> s235 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts235 -> s235 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_SUBACK\"];\n\ts235 -> s235 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts235 -> s235 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts235 -> s217 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_CONCLOSED__c2_Empty\"];\n\ts235 -> s235 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts235 -> s216 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_UNSUBACK\"];\n\ts235 -> s215 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts235 -> s214 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts235 -> s235 [label=\"c0_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts235 -> s235 [label=\"c1_publish / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts235 -> s235 [label=\"c2_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_PUBACK_PUBLISH\"];\n\ts235 -> s235 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts235 -> s235 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_CONCLOSED__c2_PUBLISH\"];\n\ts236 -> s241 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONNACK__c1_Empty__c2_Empty\"];\n\ts236 -> s191 [label=\"c1_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts236 -> s190 [label=\"c2_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts236 -> s189 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts236 -> s188 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts236 -> s236 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts236 -> s191 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_CONCLOSED__c2_Empty\"];\n\ts236 -> s190 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_CONCLOSED\"];\n\ts236 -> s189 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts236 -> s188 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts236 -> s236 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts236 -> s236 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_SUBACK__c2_Empty\"];\n\ts236 -> s236 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_SUBACK\"];\n\ts236 -> s236 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts236 -> s236 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts236 -> s236 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts236 -> s221 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_UNSUBACK__c2_Empty\"];\n\ts236 -> s220 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_UNSUBACK\"];\n\ts236 -> s219 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts236 -> s218 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts236 -> s236 [label=\"c0_publish / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts236 -> s236 [label=\"c1_publish / c3_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts236 -> s236 [label=\"c2_publish / c3_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts236 -> s236 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_PUBLISH\"];\n\ts236 -> s236 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_CONCLOSED__c1_PUBLISH__c2_PUBLISH\"];\n\ts237 -> s218 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts237 -> s214 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts237 -> s210 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts237 -> s206 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts237 -> s232 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts237 -> s218 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts237 -> s214 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts237 -> s210 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts237 -> s206 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts237 -> s232 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts237 -> s237 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts237 -> s237 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts237 -> s237 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts237 -> s237 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts237 -> s242 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts237 -> s228 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts237 -> s225 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts237 -> s223 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts237 -> s222 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts237 -> s237 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts237 -> s237 [label=\"c0_publish / c3_PUBLISH__c4_Empty__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\ts237 -> s237 [label=\"c1_publish / c3_PUBLISH__c4_Empty__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts237 -> s237 [label=\"c2_publish / c3_PUBLISH__c4_Empty__c0_PUBLISH__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts237 -> s237 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_Empty__c0_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\ts237 -> s237 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK__c0_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\ts238 -> s219 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts238 -> s215 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts238 -> s211 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts238 -> s233 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts238 -> s202 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts238 -> s219 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts238 -> s215 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts238 -> s211 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts238 -> s233 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts238 -> s202 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts238 -> s238 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts238 -> s238 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts238 -> s238 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts238 -> s242 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts238 -> s238 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts238 -> s229 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts238 -> s226 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts238 -> s224 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts238 -> s238 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts238 -> s222 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts238 -> s238 [label=\"c0_publish / c3_Empty__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\ts238 -> s238 [label=\"c1_publish / c3_Empty__c4_PUBLISH__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts238 -> s238 [label=\"c2_publish / c3_Empty__c4_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts238 -> s238 [label=\"c3_publish / c3_PUBACK__c4_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\ts238 -> s238 [label=\"c4_publish / c3_Empty__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\ts239 -> s220 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts239 -> s216 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts239 -> s234 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts239 -> s207 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts239 -> s203 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts239 -> s220 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts239 -> s216 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts239 -> s234 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts239 -> s207 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts239 -> s203 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts239 -> s239 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts239 -> s239 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts239 -> s242 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts239 -> s239 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts239 -> s239 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts239 -> s230 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts239 -> s227 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts239 -> s239 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts239 -> s224 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts239 -> s223 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts239 -> s239 [label=\"c0_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts239 -> s239 [label=\"c1_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_Empty\"];\n\ts239 -> s239 [label=\"c2_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_PUBACK\"];\n\ts239 -> s239 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts239 -> s239 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_Empty\"];\n\ts240 -> s221 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts240 -> s235 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts240 -> s212 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts240 -> s208 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts240 -> s204 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts240 -> s221 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts240 -> s235 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts240 -> s212 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts240 -> s208 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts240 -> s204 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts240 -> s240 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts240 -> s242 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts240 -> s240 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts240 -> s240 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts240 -> s240 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts240 -> s231 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts240 -> s240 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts240 -> s227 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts240 -> s226 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts240 -> s225 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts240 -> s240 [label=\"c0_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts240 -> s240 [label=\"c1_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_PUBACK__c2_PUBLISH\"];\n\ts240 -> s240 [label=\"c2_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_Empty__c2_PUBACK_PUBLISH\"];\n\ts240 -> s240 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts240 -> s240 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_Empty__c2_PUBLISH\"];\n\ts241 -> s236 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts241 -> s217 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts241 -> s213 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts241 -> s209 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts241 -> s205 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts241 -> s236 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts241 -> s217 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts241 -> s213 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts241 -> s209 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts241 -> s205 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts241 -> s242 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts241 -> s241 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts241 -> s241 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts241 -> s241 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts241 -> s241 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts241 -> s241 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts241 -> s231 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts241 -> s230 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts241 -> s229 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts241 -> s228 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts241 -> s241 [label=\"c0_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBACK__c1_PUBLISH__c2_PUBLISH\"];\n\ts241 -> s241 [label=\"c1_publish / c3_PUBLISH__c4_PUBLISH__c0_Empty__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts241 -> s241 [label=\"c2_publish / c3_PUBLISH__c4_PUBLISH__c0_Empty__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts241 -> s241 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_Empty__c1_PUBLISH__c2_PUBLISH\"];\n\ts241 -> s241 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_Empty__c1_PUBLISH__c2_PUBLISH\"];\n\ts242 -> s236 [label=\"c0_connect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts242 -> s235 [label=\"c1_connect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts242 -> s234 [label=\"c2_connect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts242 -> s233 [label=\"c3_connect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts242 -> s232 [label=\"c4_connect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts242 -> s236 [label=\"c0_disconnect / c3_Empty__c4_Empty__c0_CONCLOSED__c1_Empty__c2_Empty\"];\n\ts242 -> s235 [label=\"c1_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_CONCLOSED__c2_Empty\"];\n\ts242 -> s234 [label=\"c2_disconnect / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_CONCLOSED\"];\n\ts242 -> s233 [label=\"c3_disconnect / c3_CONCLOSED__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts242 -> s232 [label=\"c4_disconnect / c3_Empty__c4_CONCLOSED__c0_Empty__c1_Empty__c2_Empty\"];\n\ts242 -> s242 [label=\"c0_subscribe / c3_Empty__c4_Empty__c0_SUBACK__c1_Empty__c2_Empty\"];\n\ts242 -> s242 [label=\"c1_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_SUBACK__c2_Empty\"];\n\ts242 -> s242 [label=\"c2_subscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_SUBACK\"];\n\ts242 -> s242 [label=\"c3_subscribe / c3_SUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts242 -> s242 [label=\"c4_subscribe / c3_Empty__c4_SUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts242 -> s241 [label=\"c0_unsubscribe / c3_Empty__c4_Empty__c0_UNSUBACK__c1_Empty__c2_Empty\"];\n\ts242 -> s240 [label=\"c1_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_UNSUBACK__c2_Empty\"];\n\ts242 -> s239 [label=\"c2_unsubscribe / c3_Empty__c4_Empty__c0_Empty__c1_Empty__c2_UNSUBACK\"];\n\ts242 -> s238 [label=\"c3_unsubscribe / c3_UNSUBACK__c4_Empty__c0_Empty__c1_Empty__c2_Empty\"];\n\ts242 -> s237 [label=\"c4_unsubscribe / c3_Empty__c4_UNSUBACK__c0_Empty__c1_Empty__c2_Empty\"];\n\ts242 -> s242 [label=\"c0_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBACK_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\ts242 -> s242 [label=\"c1_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_PUBACK_PUBLISH__c2_PUBLISH\"];\n\ts242 -> s242 [label=\"c2_publish / c3_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_PUBACK_PUBLISH\"];\n\ts242 -> s242 [label=\"c3_publish / c3_PUBACK_PUBLISH__c4_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\ts242 -> s242 [label=\"c4_publish / c3_PUBLISH__c4_PUBACK_PUBLISH__c0_PUBLISH__c1_PUBLISH__c2_PUBLISH\"];\n\n__start0 [label=\"\" shape=\"none\" width=\"0\" height=\"0\"];\n__start0 -> s0;\n\n}\n"
  },
  {
    "path": "DotModels/mooreModel.dot",
    "content": "digraph g {\n        __start0 [label=\"\" shape=\"none\"];\n        __start0 -> A;\n\n    \tA [shape=\"record\", style=\"rounded\", label=\"{ A | 0 }\"];\n    \tB [shape=\"record\", style=\"rounded\", label=\"{ B | 0 }\"];\n    \tC [shape=\"record\", style=\"rounded\", label=\"{ C | 0 }\"];\n    \tD [shape=\"record\", style=\"rounded\", label=\"{ D | 0 }\"];\n    \tE [shape=\"record\", style=\"rounded\", label=\"{ E | 0 }\"];\n    \tF [shape=\"record\", style=\"rounded\", label=\"{ F | 0 }\"];\n    \tG [shape=\"record\", style=\"rounded\", label=\"{ G | 0 }\"];\n    \tH [shape=\"record\", style=\"rounded\", label=\"{ H | 0 }\"];\n    \tI [shape=\"record\", style=\"rounded\", label=\"{ I | 1 }\"];\n\n\n    \tA -> D [label=\"0\"];\n    \tA -> B [label=\"1\"];\n    \tB -> E [label=\"0\"];\n    \tB -> C [label=\"1\"];\n    \tC -> F [label=\"0\"];\n    \tC -> C [label=\"1\"];\n    \tD -> G [label=\"0\"];\n    \tD -> E [label=\"1\"];\n    \tE -> H [label=\"0\"];\n    \tE -> F [label=\"1\"];\n    \tF -> I [label=\"0\"];\n    \tF -> F [label=\"1\"];\n    \tG -> G [label=\"0\"];\n    \tG -> H [label=\"1\"];\n    \tH -> H [label=\"0\"];\n    \tH -> I [label=\"1\"];\n    \tI -> I [label=\"0\"];\n    \tI -> I [label=\"1\"];\n\n    }\n"
  },
  {
    "path": "DotModels/onfsm_0.dot",
    "content": "digraph g {\n__start0 [label=\"\" shape=\"none\"];\nq0 [shape=\"circle\" margin=0 label=\"q0\"];\nq1 [shape=\"circle\" margin=0 label=\"q1\"];\nq0 -> q0 [label=\"a/1\"];\nq0 -> q1 [label=\"b/0\"];\nq1 -> q1 [label=\"b/O\"];\nq1 -> q1 [label=\"a/1\"];\n__start0 -> q0;\n}"
  },
  {
    "path": "DotModels/onfsm_1.dot",
    "content": "digraph g {\n__start0 [label=\"\" shape=\"none\"];\nq0 [shape=\"circle\" margin=0 label=\"q0\"];\nq2 [shape=\"circle\" margin=0 label=\"q2\"];\nq1 [shape=\"circle\" margin=0 label=\"q1\"];\nq0 -> q2 [label=\"b/1\"];\nq0 -> q0 [label=\"a/0\"];\nq0 -> q0 [label=\"b/2\"];\nq0 -> q2 [label=\"a/1\"];\nq2 -> q1 [label=\"b/0\"];\nq2 -> q0 [label=\"a/2\"];\nq1 -> q1 [label=\"a/2\"];\nq1 -> q2 [label=\"b/0\"];\n__start0 -> q1;\n}"
  },
  {
    "path": "DotModels/onfsm_2.dot",
    "content": "digraph g {\n__start0 [label=\"\" shape=\"none\"];\nq1 [shape=\"circle\" margin=0 label=\"q1\"];\nq0 [shape=\"circle\" margin=0 label=\"q0\"];\nq2 [shape=\"circle\" margin=0 label=\"q2\"];\nq2 -> q0 [label=\"b/O\"];\nq0 -> q1 [label=\"a/2\"];\nq2 -> q1 [label=\"b/0\"];\nq2 -> q2 [label=\"a/1\"];\nq1 -> q2 [label=\"b/0\"];\nq1 -> q0 [label=\"a/2\"];\nq0 -> q0 [label=\"b/0\"];\n__start0 -> q0;\n}"
  },
  {
    "path": "DotModels/onfsm_3.dot",
    "content": "digraph g {\n__start0 [label=\"\" shape=\"none\"];\nq5 [shape=\"circle\" margin=0 label=\"q5\"];\nq2 [shape=\"circle\" margin=0 label=\"q2\"];\nq7 [shape=\"circle\" margin=0 label=\"q7\"];\nq8 [shape=\"circle\" margin=0 label=\"q8\"];\nq4 [shape=\"circle\" margin=0 label=\"q4\"];\nq6 [shape=\"circle\" margin=0 label=\"q6\"];\nq0 [shape=\"circle\" margin=0 label=\"q0\"];\nq1 [shape=\"circle\" margin=0 label=\"q1\"];\nq3 [shape=\"circle\" margin=0 label=\"q3\"];\nq8 -> q6 [label=\"b/0\"];\nq5 -> q1 [label=\"b/O\"];\nq1 -> q3 [label=\"a/2\"];\nq7 -> q2 [label=\"b/0\"];\nq2 -> q8 [label=\"b/0\"];\nq8 -> q8 [label=\"a/1\"];\nq6 -> q5 [label=\"b/0\"];\nq2 -> q4 [label=\"a/2\"];\nq4 -> q4 [label=\"b/0\"];\nq1 -> q1 [label=\"b/0\"];\nq5 -> q5 [label=\"a/1\"];\nq3 -> q7 [label=\"b/0\"];\nq6 -> q0 [label=\"a/2\"];\nq0 -> q6 [label=\"a/2\"];\nq4 -> q2 [label=\"a/2\"];\nq3 -> q1 [label=\"a/2\"];\nq0 -> q0 [label=\"b/0\"];\nq7 -> q7 [label=\"a/1\"];\n__start0 -> q1;\n}"
  },
  {
    "path": "DotModels/onfsm_4.dot",
    "content": "digraph Angluin_Mealy {\ns0 [label=s0];\ns1 [label=s1];\ns2 [label=s2];\ns3 [label=s3];\ns0 -> s1  [label=\"a/x\"];\ns0 -> s2  [label=\"a/y\"];\ns0 -> s3  [label=\"a/z\"];\n\ns1 -> s1  [label=\"a/0\"];\ns2 -> s2  [label=\"a/0\"];\ns3 -> s3  [label=\"a/0\"];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}"
  },
  {
    "path": "DotModels/onfsm_5.dot",
    "content": "digraph Angluin_Mealy {\ns0 [label=s0];\ns1 [label=s1];\ns2 [label=s2];\ns3 [label=s3];\ns4 [label=s4];\ns0 -> s1  [label=\"a/X\"];\ns0 -> s2  [label=\"a/Y\"];\ns0 -> s0  [label=\"b/Z\"];\ns1 -> s1  [label=\"a/X\"];\ns1 -> s3  [label=\"b/Z\"];\ns2 -> s2  [label=\"a/Y\"];\ns2 -> s4  [label=\"b/W\"];\ns3 -> s0  [label=\"a/V\"];\ns3 -> s3  [label=\"b/Z\"];\ns4 -> s0  [label=\"a/V\"];\ns4 -> s4  [label=\"b/W\"];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}"
  },
  {
    "path": "DotModels/tomitaGrammars/tomita_1.dot",
    "content": "digraph \"tomita_1\" {\ns0 [label=s0, shape=doublecircle];\ns1 [label=s1];\ns0 -> s1  [label=0];\ns0 -> s0  [label=1];\ns1 -> s1  [label=0];\ns1 -> s1  [label=1];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/tomitaGrammars/tomita_2.dot",
    "content": "digraph \"tomita_2\" {\ns0 [label=s0];\ns1 [label=s1];\ns2 [label=s2, shape=doublecircle];\ns3 [label=s3];\ns0 -> s3  [label=0];\ns0 -> s1  [label=1];\ns1 -> s2  [label=0];\ns1 -> s3  [label=1];\ns2 -> s3  [label=0];\ns2 -> s1  [label=1];\ns3 -> s3  [label=0];\ns3 -> s3  [label=1];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/tomitaGrammars/tomita_3.dot",
    "content": "digraph \"tomita_3\" {\ns0 [label=s0, shape=doublecircle];\ns1 [label=s1, shape=doublecircle];\ns2 [label=s2];\ns3 [label=s3];\ns4 [label=s4, shape=doublecircle];\ns0 -> s0  [label=0];\ns0 -> s1  [label=1];\ns1 -> s2  [label=0];\ns1 -> s0  [label=1];\ns2 -> s4  [label=0];\ns2 -> s3  [label=1];\ns3 -> s3  [label=0];\ns3 -> s3  [label=1];\ns4 -> s2  [label=0];\ns4 -> s4  [label=1];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/tomitaGrammars/tomita_4.dot",
    "content": "digraph \"tomita_4\" {\ns0 [label=s0, shape=doublecircle];\ns1 [label=s1, shape=doublecircle];\ns2 [label=s2, shape=doublecircle];\ns3 [label=s3];\ns0 -> s1  [label=0];\ns0 -> s0  [label=1];\ns1 -> s2  [label=0];\ns1 -> s0  [label=1];\ns2 -> s3  [label=0];\ns2 -> s0  [label=1];\ns3 -> s3  [label=0];\ns3 -> s3  [label=1];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/tomitaGrammars/tomita_5.dot",
    "content": "digraph \"tomita_5\" {\ns0 [label=s0, shape=doublecircle];\ns1 [label=s1];\ns2 [label=s2];\ns3 [label=s3];\ns0 -> s1  [label=0];\ns0 -> s2  [label=1];\ns1 -> s0  [label=0];\ns1 -> s3  [label=1];\ns2 -> s3  [label=0];\ns2 -> s0  [label=1];\ns3 -> s2  [label=0];\ns3 -> s1  [label=1];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/tomitaGrammars/tomita_6.dot",
    "content": "digraph \"tomita_6\" {\ns0 [label=s0, shape=doublecircle];\ns1 [label=s1];\ns2 [label=s2];\ns0 -> s1  [label=0];\ns0 -> s2  [label=1];\ns1 -> s2  [label=0];\ns1 -> s0  [label=1];\ns2 -> s0  [label=0];\ns2 -> s1  [label=1];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}\n"
  },
  {
    "path": "DotModels/tomitaGrammars/tomita_7.dot",
    "content": "digraph \"tomita_7\" {\ns0 [label=s0, shape=doublecircle];\ns1 [label=s1, shape=doublecircle];\ns2 [label=s2, shape=doublecircle];\ns3 [label=s3, shape=doublecircle];\ns4 [label=s4];\ns0 -> s0  [label=0];\ns0 -> s1  [label=1];\ns1 -> s2  [label=0];\ns1 -> s1  [label=1];\ns2 -> s2  [label=0];\ns2 -> s3  [label=1];\ns3 -> s4  [label=0];\ns3 -> s3  [label=1];\ns4 -> s4  [label=0];\ns4 -> s4  [label=1];\n__start0 [label=\"\", shape=none];\n__start0 -> s0  [label=\"\"];\n}\n"
  },
  {
    "path": "Examples.py",
    "content": "def random_deterministic_model_example():\n    from aalpy.utils import generate_random_deterministic_automata\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.oracles import RandomWMethodEqOracle\n    from aalpy.learning_algs import run_KV\n\n    model_type = 'mealy'  # or 'moore', 'dfa'\n\n    # for random dfa's you can also define num_accepting_states\n    random_model = generate_random_deterministic_automata(automaton_type=model_type, num_states=100,\n                                                          input_alphabet_size=3, output_alphabet_size=4)\n\n    sul = AutomatonSUL(random_model)\n    input_alphabet = random_model.get_input_alphabet()\n\n    # select any of the oracles\n    eq_oracle = RandomWMethodEqOracle(input_alphabet, sul, walks_per_state=10, walk_len=20)\n\n    learned_model = run_KV(input_alphabet, sul, eq_oracle, model_type)\n\n    assert learned_model == random_model\n    return learned_model\n\n\ndef angluin_seminal_example():\n    \"\"\"\n    Example automaton from Angluin's seminal paper.\n    :return: learned DFA\n    \"\"\"\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.oracles import RandomWalkEqOracle\n    from aalpy.learning_algs import run_Lstar\n    from aalpy.utils import get_Angluin_dfa\n\n    dfa = get_Angluin_dfa()\n\n    alphabet = dfa.get_input_alphabet()\n\n    sul = AutomatonSUL(dfa)\n    eq_oracle = RandomWalkEqOracle(alphabet, sul, 500)\n\n    learned_dfa = run_Lstar(alphabet, sul, eq_oracle, automaton_type='dfa',\n                            cache_and_non_det_check=True, cex_processing=None, print_level=3)\n\n    assert learned_dfa == dfa\n    return learned_dfa\n\ndef angluin_seminal_example_lsharp():\n    \"\"\"\n    Example automaton from Angluin's seminal paper.\n    :return: learned DFA\n    \"\"\"\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.oracles import RandomWalkEqOracle\n    from aalpy.learning_algs import run_Lstar, run_Lsharp\n    from aalpy.utils import get_Angluin_dfa\n\n    dfa = get_Angluin_dfa()\n\n    alphabet = dfa.get_input_alphabet()\n\n    sul = AutomatonSUL(dfa)\n    eq_oracle = RandomWalkEqOracle(alphabet, sul, 500)\n\n    learned_dfa = run_Lsharp(alphabet, sul, eq_oracle, automaton_type='dfa',\n                            extension_rule=\"SepSeq\", separation_rule=\"ADS\", max_learning_rounds=50, print_level=3)\n\n    assert learned_dfa == dfa\n    return learned_dfa\n\n\ndef tomita_example(tomita_number=3):\n    \"\"\"\n    Pass a tomita function to this example and learn it.\n    :param: function of the desired tomita grammar\n    :rtype: Dfa\n    :return DFA representing tomita grammar\n    \"\"\"\n    from aalpy.SULs import TomitaSUL\n    from aalpy.learning_algs import run_Lstar\n    from aalpy.oracles import StatePrefixEqOracle\n\n    tomita_sul = TomitaSUL(tomita_number)\n    alphabet = [0, 1]\n    state_origin_eq_oracle = StatePrefixEqOracle(alphabet, tomita_sul, walks_per_state=50, walk_len=10)\n\n    # or replace run_Lstar with run_KV\n    learned_dfa = run_Lstar(alphabet, tomita_sul, state_origin_eq_oracle, automaton_type='dfa', )\n\n    return learned_dfa\n\n\ndef regex_example(regex, alphabet):\n    \"\"\"\n    Learn a regular expression.\n    :param regex: regex to learn\n    :param alphabet: alphabet of the regex\n    :return: DFA representing the regex\n    \"\"\"\n    from aalpy.SULs import RegexSUL\n    from aalpy.oracles import StatePrefixEqOracle\n    from aalpy.learning_algs import run_Lstar\n\n    regex_sul = RegexSUL(regex)\n\n    eq_oracle = StatePrefixEqOracle(alphabet, regex_sul, walks_per_state=2000,\n                                    walk_len=15)\n\n    # or replace run_Lstar with run_KV\n    learned_regex = run_Lstar(alphabet, regex_sul, eq_oracle, automaton_type='dfa')\n\n    return learned_regex\n\n\ndef learn_date_validator():\n    from aalpy.base import SUL\n    from aalpy.utils import DateValidator\n    from aalpy.oracles import StatePrefixEqOracle\n    from aalpy.learning_algs import run_Lstar\n\n    class DateSUL(SUL):\n        \"\"\"\n        An example implementation of a system under learning that\n        can be used to learn the behavior of the date validator.\n        \"\"\"\n\n        def __init__(self):\n            super().__init__()\n            # DateValidator is a black-box class used for date string verification\n            # The format of the dates is %d/%m/%Y'\n            # Its method is_date_accepted returns True if date is accepted, False otherwise\n            self.dv = DateValidator()\n            self.string = \"\"\n\n        def pre(self):\n            # reset the string used for testing\n            self.string = \"\"\n            pass\n\n        def post(self):\n            pass\n\n        def step(self, letter):\n            # add the input to the current string\n            if letter is not None:\n                self.string += str(letter)\n\n            # test if the current sting is accepted\n            return self.dv.is_date_accepted(self.string)\n\n    # instantiate the SUL\n    sul = DateSUL()\n\n    # define the input alphabet\n    alphabet = list(range(0, 9)) + ['/']\n\n    # define a equivalence oracle\n\n    eq_oracle = StatePrefixEqOracle(alphabet, sul, walks_per_state=500, walk_len=15)\n\n    # run the learning algorithm\n\n    learned_model = run_Lstar(alphabet, sul, eq_oracle, automaton_type='dfa')\n    # visualize the automaton\n    learned_model.visualize()\n\n\ndef bluetooth_Lsharp():\n    from aalpy.utils import load_automaton_from_file\n    from aalpy.SULs import MealySUL\n    from aalpy.oracles import WpMethodEqOracle\n    from aalpy.learning_algs import run_Lsharp\n\n    mealy_machine = load_automaton_from_file(f'./DotModels/Bluetooth/CYW43455.dot', automaton_type='mealy')\n    input_alphabet = mealy_machine.get_input_alphabet()\n\n    sul_mealy = MealySUL(mealy_machine)\n    eq_oracle = WpMethodEqOracle(input_alphabet, sul_mealy, len(mealy_machine.states))\n\n    # Extension rule options: {\"Nothing\", \"SepSeq\", \"ADS\"}\n    # Separation rule options: {\"SepSeq\", \"ADS\"}\n    learned_mealy = run_Lsharp(input_alphabet, sul_mealy, eq_oracle, automaton_type='mealy', extension_rule=None,\n                               separation_rule=\"SepSeq\", max_learning_rounds=50, print_level=3)\n\n\ndef bluetooth_adaptive_Lsharp():\n    from aalpy.utils import load_automaton_from_file\n    from aalpy.SULs import MealySUL\n    from aalpy.oracles import WpMethodEqOracle\n    from aalpy.learning_algs import run_adaptive_Lsharp\n\n    reference1 = load_automaton_from_file(f'./DotModels/Bluetooth/CC2650.dot', automaton_type='mealy')\n    reference2 = load_automaton_from_file(f'./DotModels/Bluetooth/nRF52832.dot', automaton_type='mealy')\n    reference3 = load_automaton_from_file(f'./DotModels/Bluetooth/CC2640R2-no-feature-req.dot', automaton_type='mealy')\n    target = load_automaton_from_file(f'./DotModels/Bluetooth/CYW43455.dot', automaton_type='mealy')\n\n    input_alphabet = target.get_input_alphabet()\n\n    sul_mealy = MealySUL(target)\n    eq_oracle = WpMethodEqOracle(input_alphabet, sul_mealy, len(target.states))\n\n    # Rebuilding options: {True, False}\n    # State Matching options: {None, \"Total\", \"Approximate\"}\n    learned_mealy = run_adaptive_Lsharp(input_alphabet, sul_mealy, [reference1, reference2, reference3], eq_oracle,\n                                       automaton_type='mealy', extension_rule='SepSeq', separation_rule=\"ADS\",\n                                       rebuilding=True, state_matching=\"Approximate\", print_level=2)\n\n\n\ndef random_deterministic_example_with_provided_sequences():\n    from random import choice, randint\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.learning_algs import run_Lstar\n    from aalpy.utils import generate_random_deterministic_automata\n\n    random_mealy = generate_random_deterministic_automata('mealy', num_states=10,\n                                                          input_alphabet_size=4, output_alphabet_size=3)\n\n    input_alphabet = random_mealy.get_input_alphabet()\n\n    sul_mealy = AutomatonSUL(random_mealy)\n\n    # samples obtained form somewhere else\n    samples = []\n    for _ in range(1000):\n        inputs = tuple(choice(input_alphabet) for _ in range(randint(4, 12)))\n        outputs = sul_mealy.query(inputs)\n        input_output_pair = (inputs, outputs)\n        samples.append(input_output_pair)\n\n    from aalpy.oracles import RandomWalkEqOracle\n    random_walk_eq_oracle = RandomWalkEqOracle(input_alphabet, sul_mealy, 5000)\n\n    learned_mealy = run_Lstar(input_alphabet, sul_mealy, random_walk_eq_oracle, automaton_type='mealy',\n                              samples=samples)\n\n\ndef big_input_alphabet_example():\n    \"\"\"\n        Small example where input alphabet can be huge and outputs are just true and false (DFA).\n    \"\"\"\n\n    from aalpy.base import SUL\n    from aalpy.learning_algs import run_Lstar\n    from aalpy.oracles import RandomWMethodEqOracle\n\n    input_alphabet_size = 1000\n    automaton_depth = 4\n\n    class alternatingSUL(SUL):\n        def __init__(self):\n            super().__init__()\n            self.counter = 0\n\n        def pre(self):\n            self.counter = 0\n\n        def post(self):\n            pass\n\n        def step(self, letter):\n            if letter is None:\n                return False\n            out = letter % 2\n            self.counter = min(self.counter + 1, automaton_depth)\n            if self.counter % 2 == 1:\n                return not out\n            return out\n\n    input_al = list(range(input_alphabet_size))\n\n    sul = alternatingSUL()\n    eq_oracle = RandomWMethodEqOracle(input_al, sul)\n\n    model = run_Lstar(input_al, sul, eq_oracle, 'dfa', cache_and_non_det_check=False)\n\n    return model\n\n\ndef random_onfsm_example(num_states, input_size, output_size, n_sampling):\n    \"\"\"\n    Generate and learn random ONFSM.\n    :param num_states: number of states of the randomly generated automaton\n    :param input_size: size of the input alphabet\n    :param output_size: size of the output alphabet\n    :param n_sampling: number of times each query will be repeated to ensure that all non-determinist outputs are\n    observed\n    :return: learned ONFSM\n    \"\"\"\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.utils import generate_random_ONFSM\n    from aalpy.oracles import RandomWalkEqOracle, RandomWordEqOracle\n    from aalpy.learning_algs import run_non_det_Lstar\n\n    onfsm = generate_random_ONFSM(num_states=num_states, num_inputs=input_size, num_outputs=output_size)\n    alphabet = onfsm.get_input_alphabet()\n\n    sul = AutomatonSUL(onfsm)\n    eq_oracle = RandomWalkEqOracle(alphabet, sul, num_steps=500, reset_prob=0.15, reset_after_cex=True)\n    eq_oracle = RandomWordEqOracle(alphabet, sul, num_walks=500, min_walk_len=8, max_walk_len=20)\n\n    learned_model = run_non_det_Lstar(alphabet, sul, eq_oracle=eq_oracle, n_sampling=n_sampling, print_level=2)\n    return learned_model\n\n\ndef random_mdp_example():\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.oracles import RandomWalkEqOracle\n    from aalpy.learning_algs import run_stochastic_Lstar\n    from aalpy.utils import generate_random_mdp\n\n    mdp = generate_random_mdp(num_states=10, input_size=3, output_size=3)\n    input_alphabet = mdp.get_input_alphabet()\n    sul = AutomatonSUL(mdp)\n\n    eq_oracle = RandomWalkEqOracle(input_alphabet, sul=sul, num_steps=5000, reset_prob=0.11,\n                                   reset_after_cex=False)\n\n    learned_mdp = run_stochastic_Lstar(input_alphabet, sul, eq_oracle,\n                                       min_rounds=5, max_rounds=50)\n\n    return learned_mdp\n\n\ndef learn_python_class():\n    \"\"\"\n    Learn a Mealy machine where inputs are methods and arguments of the class that serves as SUL.\n    :return: Mealy machine\n    \"\"\"\n\n    # class\n    from aalpy.SULs import PyClassSUL, FunctionDecorator\n    from aalpy.oracles import StatePrefixEqOracle\n    from aalpy.learning_algs import run_Lstar\n    from aalpy.utils import MockMqttExample\n\n    mqtt = MockMqttExample\n\n    input_al = [FunctionDecorator(mqtt.connect), FunctionDecorator(mqtt.disconnect),\n                FunctionDecorator(mqtt.subscribe, 'topic'), FunctionDecorator(mqtt.unsubscribe, 'topic'),\n                FunctionDecorator(mqtt.publish, 'topic')]\n\n    sul = PyClassSUL(mqtt)\n\n    eq_oracle = StatePrefixEqOracle(input_al, sul, walks_per_state=20, walk_len=20)\n\n    mealy = run_Lstar(input_al, sul, eq_oracle=eq_oracle, automaton_type='mealy', cache_and_non_det_check=True)\n\n    mealy.visualize()\n\n\ndef mqtt_example():\n    from aalpy.base import SUL\n    from aalpy.oracles import RandomWalkEqOracle\n    from aalpy.learning_algs import run_Lstar\n    from aalpy.utils import MockMqttExample\n\n    class MQTT_SUL(SUL):\n        def __init__(self):\n            super().__init__()\n            self.mqtt = MockMqttExample()\n\n        def pre(self):\n            self.mqtt.state = 'CONCLOSED'\n\n        def post(self):\n            self.mqtt.topics.clear()\n\n        def step(self, letter):\n            if letter == 'connect':\n                return self.mqtt.connect()\n            elif letter == 'disconnect':\n                return self.mqtt.disconnect()\n            elif letter == 'publish':\n                return self.mqtt.publish(topic='test')\n            elif letter == 'subscribe':\n                return self.mqtt.subscribe(topic='test')\n            else:\n                return self.mqtt.unsubscribe(topic='test')\n\n    sul = MQTT_SUL()\n    input_al = ['connect', 'disconnect', 'publish', 'subscribe', 'unsubscribe']\n\n    eq_oracle = RandomWalkEqOracle(input_al, sul, num_steps=2000, reset_after_cex=True, reset_prob=0.15)\n\n    mealy = run_Lstar(input_al, sul, eq_oracle=eq_oracle, automaton_type='mealy', cache_and_non_det_check=True,\n                      print_level=3)\n\n    mealy.visualize()\n\n\ndef onfsm_mealy_paper_example():\n    \"\"\"\n    Learning a ONFSM presented in 'Learning Finite State Models of Observable Nondeterministic Systems in a Testing\n    Context'.\n    :return: learned ONFSM\n    \"\"\"\n\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.oracles import RandomWordEqOracle\n    from aalpy.learning_algs import run_non_det_Lstar\n    from aalpy.utils import get_benchmark_ONFSM\n\n    onfsm = get_benchmark_ONFSM()\n    alphabet = onfsm.get_input_alphabet()\n\n    sul = AutomatonSUL(onfsm)\n    eq_oracle = RandomWordEqOracle(alphabet, sul, num_walks=500, min_walk_len=5, max_walk_len=12)\n\n    learned_onfsm = run_non_det_Lstar(alphabet, sul, eq_oracle, n_sampling=10, print_level=2)\n\n    return learned_onfsm\n\n\ndef multi_client_mqtt_example():\n    \"\"\"\n    Example from paper P'Learning Abstracted Non-deterministic Finite State Machines'.\n    https://link.springer.com/chapter/10.1007/978-3-030-64881-7_4\n\n    Returns:\n\n        learned automaton\n    \"\"\"\n    import random\n\n    from aalpy.base import SUL\n    from aalpy.oracles import RandomWalkEqOracle\n    from aalpy.learning_algs import run_abstracted_ONFSM_Lstar\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.utils import load_automaton_from_file\n\n    class Multi_Client_MQTT_Mapper(SUL):\n        def __init__(self):\n            super().__init__()\n\n            five_clients_mqtt_mealy = load_automaton_from_file('DotModels/five_clients_mqtt_abstracted_onfsm.dot',\n                                                               automaton_type='mealy')\n            self.five_client_mqtt = AutomatonSUL(five_clients_mqtt_mealy)\n            self.connected_clients = set()\n            self.subscribed_clients = set()\n\n            self.clients = ('c0', 'c1', 'c2', 'c3', 'c4')\n\n        def get_input_alphabet(self):\n            return ['connect', 'disconnect', 'subscribe', 'unsubscribe', 'publish']\n\n        def pre(self):\n            self.five_client_mqtt.pre()\n\n        def post(self):\n            self.five_client_mqtt.post()\n            self.connected_clients = set()\n            self.subscribed_clients = set()\n\n        def step(self, letter):\n            client = random.choice(self.clients)\n            inp = client + '_' + letter\n            concrete_output = self.five_client_mqtt.step(inp)\n            all_out = ''\n\n            if letter == 'connect':\n                if client not in self.connected_clients:\n                    self.connected_clients.add(client)\n                elif client in self.connected_clients:\n                    self.connected_clients.remove(client)\n                    if client in self.subscribed_clients:\n                        self.subscribed_clients.remove(client)\n                    if len(self.subscribed_clients) == 0:\n                        all_out = '_UNSUB_ALL'\n\n            elif letter == 'subscribe' and client in self.connected_clients:\n                self.subscribed_clients.add(client)\n            elif letter == 'disconnect' and client in self.connected_clients:\n                self.connected_clients.remove(client)\n                if client in self.subscribed_clients:\n                    self.subscribed_clients.remove(client)\n                if len(self.subscribed_clients) == 0:\n                    all_out = '_UNSUB_ALL'\n            elif letter == 'unsubscribe' and client in self.connected_clients:\n                if client in self.subscribed_clients:\n                    self.subscribed_clients.remove(client)\n                if len(self.subscribed_clients) == 0:\n                    all_out = '_ALL'\n\n            concrete_outputs = concrete_output.split('__')\n            abstract_outputs = set([e[3:] for e in concrete_outputs])\n            if 'Empty' in abstract_outputs:\n                abstract_outputs.remove('Empty')\n            if abstract_outputs == {'CONCLOSED'}:\n                if len(self.connected_clients) == 0:\n                    all_out = '_ALL'\n                return 'CONCLOSED' + all_out\n            else:\n                if 'CONCLOSED' in abstract_outputs:\n                    abstract_outputs.remove('CONCLOSED')\n                abstract_outputs = sorted(list(abstract_outputs))\n                output = '_'.join(abstract_outputs)\n                return '_'.join(set(output.split('_'))) + all_out\n\n    sul = Multi_Client_MQTT_Mapper()\n    alphabet = sul.get_input_alphabet()\n\n    eq_oracle = RandomWalkEqOracle(alphabet, sul, num_steps=5000, reset_prob=0.09, reset_after_cex=True)\n\n    abstraction_mapping = {\n        'CONCLOSED': 'CONCLOSED',\n        'CONCLOSED_UNSUB_ALL': 'CONCLOSED',\n        'CONCLOSED_ALL': 'CONCLOSED',\n        'UNSUBACK': 'UNSUBACK',\n        'UNSUBACK_ALL': 'UNSUBACK'\n    }\n\n    learned_onfsm = run_abstracted_ONFSM_Lstar(alphabet, sul, eq_oracle, abstraction_mapping=abstraction_mapping,\n                                               n_sampling=200, print_level=3)\n\n    return learned_onfsm\n\n\ndef abstracted_onfsm_example():\n    \"\"\"\n    Learning an abstracted ONFSM. The original ONFSM has 9 states.\n    The learned abstracted ONFSM only has 3 states.\n\n    :return: learned abstracted ONFSM\n    \"\"\"\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.oracles import RandomWordEqOracle\n    from aalpy.learning_algs import run_abstracted_ONFSM_Lstar\n    from aalpy.utils import get_ONFSM\n\n    onfsm = get_ONFSM()\n\n    alphabet = onfsm.get_input_alphabet()\n\n    sul = AutomatonSUL(onfsm)\n    eq_oracle = RandomWordEqOracle(alphabet, sul, num_walks=500, min_walk_len=4, max_walk_len=8, reset_after_cex=True)\n\n    abstraction_mapping = {0: 0, 'O': 0}\n\n    learned_onfsm = run_abstracted_ONFSM_Lstar(alphabet, sul, eq_oracle=eq_oracle,\n                                               abstraction_mapping=abstraction_mapping,\n                                               n_sampling=50, print_level=3)\n\n    return learned_onfsm\n\n\ndef faulty_coffee_machine_mdp_example(automaton_type='mdp'):\n    \"\"\"\n    Learning faulty coffee machine that can be found in Chapter 5 and Chapter 7 of Martin's Tappler PhD thesis.\n    :automaton_type either mdp or smm\n    :return learned MDP\n    \"\"\"\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.oracles import RandomWalkEqOracle\n    from aalpy.learning_algs import run_stochastic_Lstar\n    from aalpy.utils import get_faulty_coffee_machine_MDP\n\n    mdp = get_faulty_coffee_machine_MDP()\n    input_alphabet = mdp.get_input_alphabet()\n    sul = AutomatonSUL(mdp)\n\n    eq_oracle = RandomWalkEqOracle(input_alphabet, sul=sul, num_steps=500, reset_prob=0.11,\n                                   reset_after_cex=False)\n\n    learned_mdp = run_stochastic_Lstar(input_alphabet, sul, automaton_type=automaton_type,\n                                       eq_oracle=eq_oracle, n_c=20, n_resample=100, min_rounds=3,\n                                       max_rounds=50, print_level=3, cex_processing='longest_prefix',\n                                       samples_cex_strategy='bfs')\n\n    return learned_mdp\n\n\ndef weird_coffee_machine_mdp_example():\n    \"\"\"\n    Learning faulty coffee machine that can be found in Chapter 5 and Chapter 7 of Martin's Tappler PhD thesis.\n    :return learned MDP\n    \"\"\"\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.oracles import RandomWordEqOracle\n    from aalpy.learning_algs import run_stochastic_Lstar\n    from aalpy.utils import get_weird_coffee_machine_MDP\n\n    mdp = get_weird_coffee_machine_MDP()\n    input_alphabet = mdp.get_input_alphabet()\n    sul = AutomatonSUL(mdp)\n\n    eq_oracle = RandomWordEqOracle(input_alphabet, sul=sul, num_walks=2000, min_walk_len=4, max_walk_len=10,\n                                   reset_after_cex=True)\n\n    learned_mdp = run_stochastic_Lstar(input_alphabet, sul, eq_oracle, n_c=20, n_resample=1000, min_rounds=10,\n                                       max_rounds=500, strategy='normal', cex_processing=None,\n                                       samples_cex_strategy=None, automaton_type='smm')\n\n    return learned_mdp\n\n\ndef benchmark_stochastic_example(example, automaton_type='smm', n_c=20, n_resample=1000, min_rounds=10, max_rounds=500,\n                                 strategy='normal', cex_processing='longest_prefix', stopping_based_on_prop=None,\n                                 samples_cex_strategy=None):\n    \"\"\"\n    Learning the stochastic Mealy Machine(SMM) various benchmarking examples\n    found in Chapter 7 of Martin's Tappler PhD thesis.\n    :param n_c: cutoff for a state to be considered complete\n    :param automaton_type: either smm (stochastic mealy machine) or mdp (Markov decision process)\n    :param n_resample: resampling size\n    :param example: One of ['first_grid', 'second_grid', 'shared_coin', 'slot_machine']\n    :param min_rounds: minimum number of learning rounds\n    :param max_rounds: maximum number of learning rounds\n    :param strategy: normal, classic or chi2\n    :param cex_processing: counterexample processing strategy\n    :stopping_based_on_prop: a tuple (path to properties, correct values, error bound)\n    :param samples_cex_strategy: strategy to sample cex in the trace tree\n    :return: learned SMM\n\n    \"\"\"\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.oracles import RandomWalkEqOracle, RandomWordEqOracle\n    from aalpy.learning_algs import run_stochastic_Lstar\n    from aalpy.utils import load_automaton_from_file\n\n    # Specify the path to the dot file containing a MDP\n    mdp = load_automaton_from_file(f'./DotModels/MDPs/{example}.dot', automaton_type='mdp')\n    input_alphabet = mdp.get_input_alphabet()\n\n    sul = AutomatonSUL(mdp)\n    eq_oracle = RandomWordEqOracle(input_alphabet, sul, num_walks=100, min_walk_len=5, max_walk_len=15,\n                                   reset_after_cex=True)\n    eq_oracle = RandomWalkEqOracle(input_alphabet, sul=sul, num_steps=2000, reset_prob=0.25,\n                                   reset_after_cex=True)\n\n    learned_mdp = run_stochastic_Lstar(input_alphabet=input_alphabet, eq_oracle=eq_oracle, sul=sul, n_c=n_c,\n                                       n_resample=n_resample, min_rounds=min_rounds, max_rounds=max_rounds,\n                                       automaton_type=automaton_type, strategy=strategy, cex_processing=cex_processing,\n                                       samples_cex_strategy=samples_cex_strategy, target_unambiguity=0.99,\n                                       property_based_stopping=stopping_based_on_prop)\n\n    return learned_mdp\n\n\ndef custom_stochastic_example(stochastic_machine, learning_type='smm', min_rounds=10, max_rounds=500):\n    \"\"\"\n    Learning custom SMM.\n    :param stochastic_machine: stochastic Mealy machine or MDP to learn\n    :param learning_type: 'smm' or 'mdp'\n    :param min_rounds: minimum number of learning rounds\n    :param max_rounds: maximum number of learning rounds\n    :return: learned model\n    \"\"\"\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.oracles import RandomWordEqOracle\n    from aalpy.learning_algs import run_stochastic_Lstar\n\n    input_al = stochastic_machine.get_input_alphabet()\n\n    sul = AutomatonSUL(stochastic_machine)\n\n    eq_oracle = RandomWordEqOracle(alphabet=input_al, sul=sul, num_walks=1000, min_walk_len=10, max_walk_len=30,\n                                   reset_after_cex=True)\n\n    learned_model = run_stochastic_Lstar(input_al, sul, eq_oracle,\n                                         automaton_type=learning_type,\n                                         min_rounds=min_rounds,\n                                         max_rounds=max_rounds,\n                                         print_level=2)\n\n    return learned_model\n\n\ndef learn_stochastic_system_and_do_model_checking(example, automaton_type='smm', n_c=20, n_resample=1000, min_rounds=10,\n                                                  max_rounds=500, strategy='normal', cex_processing='longest_prefix',\n                                                  stopping_based_on_prop=None, samples_cex_strategy=None):\n    import aalpy.paths\n    from aalpy.automata import StochasticMealyMachine\n    from aalpy.utils import model_check_experiment, get_properties_file, get_correct_prop_values\n    from aalpy.automata.StochasticMealyMachine import smm_to_mdp_conversion\n\n    aalpy.paths.path_to_prism = \"C:/Program Files/prism-4.6/bin/prism.bat\"\n    aalpy.paths.path_to_properties = \"Benchmarking/prism_eval_props/\"\n\n    learned_model = benchmark_stochastic_example(example, automaton_type, n_c, n_resample, min_rounds, max_rounds,\n                                                 strategy,\n                                                 cex_processing, stopping_based_on_prop, samples_cex_strategy)\n\n    if isinstance(learned_model, StochasticMealyMachine):\n        mdp = smm_to_mdp_conversion(learned_model)\n    else:\n        mdp = learned_model\n\n    values, diff = model_check_experiment(get_properties_file(example), get_correct_prop_values(example), mdp)\n\n    print('Value for each property:', [round(d * 100, 2) for d in values.values()])\n    print('Error for each property:', [round(d * 100, 2) for d in diff.values()])\n\n\ndef alergia_mdp_example():\n    from aalpy.SULs import AutomatonSUL\n    from random import randint, choice\n    from aalpy.learning_algs import run_Alergia\n    from aalpy.utils import generate_random_mdp\n\n    mdp = generate_random_mdp(5, 2, 3)\n    initial_output = mdp.initial_state.output\n    sul = AutomatonSUL(mdp)\n    inputs = mdp.get_input_alphabet()\n\n    data = []\n    for _ in range(100000):\n        str_len = randint(5, 12)\n        # add the initial output\n        sul.pre()\n        seq = [initial_output]\n        for _ in range(str_len):\n            i = choice(inputs)\n            o = sul.step(i)\n            seq.append((i, o))\n        sul.post()\n        data.append(seq)\n\n    # run alergia with the data and automaton_type set to 'mdp' to True to learn a MDP\n    model = run_Alergia(data, automaton_type='mdp', eps=0.05, print_info=True)\n\n    model.visualize()\n\n\ndef alergia_smm_example():\n    from aalpy.SULs import AutomatonSUL\n    from random import randint, choice\n    from aalpy.learning_algs import run_Alergia\n    from aalpy.utils import generate_random_smm\n\n    smm = generate_random_smm(5, 2, 2)\n    sul = AutomatonSUL(smm)\n    inputs = smm.get_input_alphabet()\n\n    data = []\n    for _ in range(100000):\n        str_len = randint(5, 15)\n        sul.pre()\n        seq = []\n        for _ in range(str_len):\n            i = choice(inputs)\n            o = sul.step(i)\n            seq.append((i, o))\n        sul.post()\n        data.append(seq)\n\n    # run alergia with the data and automaton_type set to 'mdp' to True to learn a MDP\n    model = run_Alergia(data, automaton_type='smm', eps=0.05, print_info=True)\n\n    model.visualize()\n    return model\n\n\ndef alergia_mc_example_with_loaded_data():\n    from os import remove\n    from aalpy.SULs import AutomatonSUL\n    from random import randint\n    from aalpy.learning_algs import run_Alergia\n    from aalpy.utils import generate_random_markov_chain\n    from aalpy.utils import CharacterTokenizer\n\n    mc = generate_random_markov_chain(10)\n    initial_output = mc.initial_state.output\n    mc.visualize('Original')\n\n    sul = AutomatonSUL(mc)\n\n    # note that this example shows writing to file just to show how tokenizer is used...\n    # this step can ofc be skipped and lists passed to alergia\n    data = []\n    for _ in range(20000):\n        sul.pre()\n        str_len = randint(4, 12)\n        seq = [f'{initial_output}']\n        for _ in range(str_len):\n            o = sul.step()\n            seq.append(f'{o}')\n        sul.post()\n        data.append(''.join(seq))\n\n    with open('mcData.txt', 'w') as file:\n        for seq in data:\n            file.write(f'{seq}\\n')\n\n    file.close()\n\n    # create tokenizer\n    tokenizer = CharacterTokenizer()\n    # parse data\n    data = tokenizer.tokenize_data('mcData.txt')\n    # run alergia with the data and automaton_type set to 'mc' to learn a Markov Chain\n    model = run_Alergia(data, automaton_type='mc', eps=0.05, print_info=True)\n    # print(model)\n\n    model.visualize()\n    remove('mcData.txt')\n    return model\n\n\ndef jAlergiaExample():\n    from aalpy.learning_algs import run_JAlergia\n\n    # if you need more heap space check\n    model = run_JAlergia(path_to_data_file='jAlergia/exampleMdpData.txt', automaton_type='mdp', eps=0.05,\n                         path_to_jAlergia_jar='jAlergia/alergia.jar')\n\n    # # alternatively pass the data in following format\n    # mc_data = [[1,2,3,4,5], [1,2,3,4,2,1], [1,3,5,2,3]]\n    # mdp_data = [[1,2,3,1,2], [1,3,6,4,2]]\n    # model = run_JAlergia(path_to_data_file=mc_data, automaton_type='mdp', eps=0.05,\n    #                      path_to_jAlergia_jar='jAlergia/alergia.jar', optimize_for='memory')\n\n    model.visualize()\n    return model\n\n\ndef active_alergia_example(example='first_grid'):\n    from random import choice, randint\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.utils import load_automaton_from_file\n    from aalpy.learning_algs import run_active_Alergia\n    from aalpy.learning_algs.stochastic_passive.ActiveAleriga import RandomWordSampler\n\n    mdp = load_automaton_from_file(f'./DotModels/MDPs/{example}.dot', automaton_type='mdp')\n    input_alphabet = mdp.get_input_alphabet()\n\n    sul = AutomatonSUL(mdp)\n\n    data = []\n    for _ in range(50000):\n        input_query = tuple(choice(input_alphabet) for _ in range(randint(6, 14)))\n        outputs = sul.query(input_query)\n        # format data in [O, (I, O), (I, O)...]\n        formatted_io = [outputs.pop(0)]\n        for i, o in zip(input_query, outputs):\n            formatted_io.append((i, o))\n        data.append(formatted_io)\n\n    sampler = RandomWordSampler(num_walks=1000, min_walk_len=8, max_walk_len=20)\n    model = run_active_Alergia(data, sul, sampler, n_iter=10)\n\n    print(model)\n\n\ndef rpni_example():\n    data = [(('a', 'a', 'a'), True),\n            (('a', 'a', 'b', 'a'), True),\n            (('b', 'b', 'a'), True),\n            (('b', 'b', 'a', 'b', 'a'), True),\n            (('a',), False),\n            (('b', 'b'), False),\n            (('a', 'a', 'b'), False),\n            (('a', 'b', 'a'), False)]\n\n    from aalpy.learning_algs import run_RPNI\n    model = run_RPNI(data, automaton_type='dfa')\n    model.visualize()\n\n\ndef rpni_check_model_example():\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.learning_algs import run_RPNI\n    from aalpy.oracles import StatePrefixEqOracle\n    from aalpy.utils import generate_random_moore_machine\n    from aalpy.utils import generate_input_output_data_from_automata, convert_i_o_traces_for_RPNI\n\n    # model = generate_random_dfa(num_states=5, alphabet=[1, 2, 3], num_accepting_states=2)\n    model = generate_random_moore_machine(num_states=5, input_alphabet=[1, 2, 3], output_alphabet=['a', 'b'])\n\n    input_al = model.get_input_alphabet()\n\n    data = generate_input_output_data_from_automata(model, num_sequences=2000,\n                                                    min_seq_len=1, max_seq_len=12)\n\n    data = convert_i_o_traces_for_RPNI(data)\n\n    rpni_model = run_RPNI(data, automaton_type='moore', print_info=True)\n\n    rpni_model.make_input_complete('sink_state')\n    sul = AutomatonSUL(model)\n    eq_oracle_2 = StatePrefixEqOracle(input_al, sul, walks_per_state=100)\n    cex = eq_oracle_2.find_cex(rpni_model)\n\n    # or simply do\n    # if rpni_model != model\n    if cex is None:\n        print(\"Could not find a counterexample between the RPNI-model and the original model.\")\n    else:\n        print('Counterexample found. Either RPNI data was incomplete (or there is a bug in RPNI algorithm :o )')\n\n\ndef rpni_mealy_example():\n    import random\n    from aalpy.learning_algs import run_RPNI\n    from aalpy.utils import generate_random_deterministic_automata\n    from aalpy.utils.HelperFunctions import all_prefixes\n    # make reproducible\n    random.seed(1)\n\n    model = generate_random_deterministic_automata(automaton_type='mealy', num_states=5,\n                                                   input_alphabet_size=3, output_alphabet_size=4)\n    # model = load_automaton_from_file('DotModels/Bluetooth/bluetooth_model.dot', automaton_type='mealy')\n\n    input_al = model.get_input_alphabet()\n    num_sequences = 1000\n    data = []\n    for _ in range(num_sequences):\n        seq_len = random.randint(1, 10)\n        random_seq = random.choices(input_al, k=seq_len)\n        # make sure that all prefixes all included in the dataset\n        for prefix in all_prefixes(random_seq):\n            output = model.compute_output_seq(model.initial_state, prefix)[-1]\n            data.append((prefix, output))\n\n    rpni_model = run_RPNI(data, automaton_type='mealy', print_info=True)\n\n    return rpni_model\n\n\ndef random_active_rpni_example():\n    import random\n    from aalpy.learning_algs import run_active_RPNI\n    from aalpy.learning_algs.deterministic_passive.active_RPNI import RandomWordSampler\n    from aalpy.utils import generate_random_deterministic_automata\n    from aalpy.utils.HelperFunctions import all_prefixes\n    from aalpy.SULs import AutomatonSUL\n\n    model = generate_random_deterministic_automata('mealy', num_states=50,\n                                                   input_alphabet_size=3, output_alphabet_size=5)\n\n    input_al = model.get_input_alphabet()\n    num_sequences = 100\n    data = []\n    for _ in range(num_sequences):\n        seq_len = random.randint(1, 20)\n        random_seq = random.choices(input_al, k=seq_len)\n        # make sure that all prefixes all included in the dataset\n        for prefix in all_prefixes(random_seq):\n            output = model.compute_output_seq(model.initial_state, prefix)[-1]\n            data.append((prefix, output))\n\n    sampler = RandomWordSampler(500, 5, 25)\n    sul = AutomatonSUL(model)\n    active_rpni_model = run_active_RPNI(data, sul, sampler=sampler, n_iter=5,\n                                        automaton_type='mealy', print_info=True)\n\n    return active_rpni_model\n\n\ndef compare_stochastic_and_non_deterministic_learning(example='first_grid'):\n    import aalpy.paths\n    aalpy.paths.path_to_prism = \"C:/Program Files/prism-4.6/bin/prism.bat\"\n    aalpy.paths.path_to_properties = \"Benchmarking/prism_eval_props/\"\n\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.automata import StochasticMealyMachine\n    from aalpy.automata.StochasticMealyMachine import smm_to_mdp_conversion\n    from aalpy.learning_algs import run_stochastic_Lstar, run_non_det_Lstar\n    from aalpy.utils import load_automaton_from_file, model_check_experiment, get_properties_file, \\\n        get_correct_prop_values\n    from aalpy.oracles import RandomWordEqOracle\n\n    mdp = load_automaton_from_file(f'./DotModels/MDPs/first_grid.dot', automaton_type='mdp')\n    input_alphabet = mdp.get_input_alphabet()\n\n    # Stochastic Learning\n    print(\"Stochastic Learning\")\n    sul = AutomatonSUL(mdp)\n    eq_oracle = RandomWordEqOracle(input_alphabet, sul, num_walks=100, min_walk_len=5, max_walk_len=15,\n                                   reset_after_cex=True)\n    stochastic_learned_model = run_stochastic_Lstar(input_alphabet=input_alphabet, eq_oracle=eq_oracle, sul=sul,\n                                                    automaton_type='smm', target_unambiguity=0.99)\n\n    # Non Deterministic Learning\n    print(\"Non-deterministic Learning\")\n    sul = AutomatonSUL(mdp)\n    eq_oracle = RandomWordEqOracle(input_alphabet, sul, num_walks=100, min_walk_len=5, max_walk_len=15,\n                                   reset_after_cex=True)\n    non_det_model = run_non_det_Lstar(alphabet=input_alphabet, eq_oracle=eq_oracle, sul=sul, n_sampling=5,\n                                      stochastic=True, print_level=2)\n\n    for model_type, model in [('Stochastic Learning', stochastic_learned_model),\n                              ('Non-deterministic learning', non_det_model)]:\n        if isinstance(model, StochasticMealyMachine):\n            mdp = smm_to_mdp_conversion(model)\n        else:\n            mdp = model\n\n    values, diff = model_check_experiment(get_properties_file(example), get_correct_prop_values(example), mdp)\n\n    print(model_type)\n    print('Error for each property:', [round(d * 100, 2) for d in diff.values()])\n\n\ndef learning_context_free_grammar_example():\n    from aalpy.automata import SevpaAlphabet\n    from aalpy.learning_algs import run_KV\n    from aalpy.oracles import RandomWordEqOracle\n    from aalpy.utils.BenchmarkSULs import get_balanced_string_sul\n\n    call_return_map = {'(': ')', '[': ']'}\n\n    sevpa_alphabet = SevpaAlphabet([], list(call_return_map.keys()), list(call_return_map.values()))\n\n    # bounded deterministic approximation\n    balanced_string_sul = get_balanced_string_sul(call_return_map, allow_empty_string=False)\n    eq_oracle = RandomWordEqOracle(sevpa_alphabet.get_merged_alphabet(), balanced_string_sul, num_walks=1000,\n                                   min_walk_len=5, max_walk_len=30)\n\n    learned_deterministic_approximation = run_KV(sevpa_alphabet.get_merged_alphabet(),\n                                                 balanced_string_sul, eq_oracle, automaton_type='dfa',\n                                                 max_learning_rounds=20)\n\n    balanced_string_sul = get_balanced_string_sul(call_return_map, allow_empty_string=False)\n    eq_oracle = RandomWordEqOracle(sevpa_alphabet.get_merged_alphabet(), balanced_string_sul, num_walks=1000,\n                                   min_walk_len=5, max_walk_len=30)\n    learned_model = run_KV(sevpa_alphabet, balanced_string_sul, eq_oracle, automaton_type='vpa')\n    learned_model.visualize()\n\n\ndef arithmetic_expression_sevpa_learning():\n    from aalpy.base import SUL\n    from aalpy.automata import SevpaAlphabet\n    from aalpy.oracles import RandomWordEqOracle\n    from aalpy.learning_algs import run_KV\n    import warnings\n    import ast\n    warnings.filterwarnings(\"ignore\")\n\n    class ArithmeticSUL(SUL):\n        def __init__(self):\n            super().__init__()\n            self.string_under_test = ''\n\n        def pre(self):\n            self.string_under_test = ''\n\n        def post(self):\n            pass\n\n        def step(self, letter):\n            if letter:\n                self.string_under_test += ' ' + letter if len(self.string_under_test) > 0 else letter\n\n            try:\n                # Parse the expression using ast\n                parsed_expr = ast.parse(self.string_under_test, mode='eval')\n                # Check if the parsed expression is a valid arithmetic expression\n                is_valid = all(isinstance(node, (ast.Expression, ast.BinOp, ast.UnaryOp, ast.Num, ast.Name, ast.Load))\n                               or isinstance(node, ast.operator) or isinstance(node, ast.expr_context)\n                               or (isinstance(node, ast.BinOp) and isinstance(node.op, ast.operator))\n                               for node in ast.walk(parsed_expr))\n                return is_valid\n\n            except SyntaxError:\n                return False\n\n    sul = ArithmeticSUL()\n\n    alphabet = SevpaAlphabet(internal_alphabet=['1', '+'], call_alphabet=['('], return_alphabet=[')'])\n\n    eq_oracle = RandomWordEqOracle(alphabet.get_merged_alphabet(), sul, min_walk_len=2,\n                                   max_walk_len=10, num_walks=2000)\n\n    learned_model = run_KV(alphabet, sul, eq_oracle, automaton_type='vpa')\n\n    learned_model.visualize()\n\n\ndef benchmark_sevpa_learning():\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.oracles import RandomWordEqOracle\n    from aalpy.learning_algs import run_KV\n    from aalpy.utils.BenchmarkSevpaModels import sevpa_for_L1, sevpa_for_L2, sevpa_for_L11, sevpa_for_L12, sevpa_for_L14\n\n    models = [sevpa_for_L1(), sevpa_for_L2(), sevpa_for_L11(), sevpa_for_L12(), sevpa_for_L14()]\n\n    for inx, model in enumerate(models):\n\n        alphabet = model.get_input_alphabet()\n\n        sul = AutomatonSUL(model)\n\n        if inx == 4:\n            alphabet.exclusive_call_return_pairs = {'(': ')', '[': ']'}\n\n        eq_oracle = RandomWordEqOracle(alphabet=alphabet.get_merged_alphabet(), sul=sul, num_walks=10000,\n                                       min_walk_len=10, max_walk_len=30)\n\n        learned_model = run_KV(alphabet=alphabet, sul=sul, eq_oracle=eq_oracle, automaton_type='vpa',\n                               print_level=2, cex_processing='rs')\n\n        print(learned_model.get_random_accepting_word())\n\n\ndef random_sevpa_learning():\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.oracles import RandomWordEqOracle\n    from aalpy.learning_algs import run_KV\n    from aalpy.utils import generate_random_sevpa\n\n    random_svepa = generate_random_sevpa(num_states=50, internal_alphabet_size=3,\n                                         call_alphabet_size=3,\n                                         return_alphabet_size=3,\n                                         acceptance_prob=0.4,\n                                         return_transition_prob=0.5)\n\n    # from aalpy.utils.BenchmarkVpaModels import vpa_for_L11\n    # balanced_parentheses = vpa_for_L11()\n\n    alphabet = random_svepa.input_alphabet\n\n    sul = AutomatonSUL(random_svepa)\n\n    eq_oracle = RandomWordEqOracle(alphabet=alphabet.get_merged_alphabet(), sul=sul, num_walks=10000,\n                                   min_walk_len=10, max_walk_len=30)\n\n    model = run_KV(alphabet=alphabet, sul=sul, eq_oracle=eq_oracle, automaton_type='vpa',\n                   print_level=2, cex_processing='rs')\n\n\ndef passive_vpa_learning_on_lists():\n    from aalpy.learning_algs import run_PAPNI\n    from aalpy.automata import VpaAlphabet\n\n    vpa_alphabet = VpaAlphabet(internal_alphabet=['1'], call_alphabet=['(', '['], return_alphabet=[')', ']'])\n\n    list_data = [\n        (tuple(), False),\n        (('[', '[', ']', ']'), True),\n        (('(', '(', ')', ')'), True),\n\n        (('[', '[', ']', ')'), False),\n        (('[', '[', ')', ']'), False),\n        (('[', ')'), False),\n        (('(', ']'), False),\n        (('[', '[', ']', '1', ']'), True),\n        (('[', '1', '[', ']', '1', ']'), True),\n        (('(', '1', '[', ']', '1', ')'), True),\n        (('(', ')'), True),\n        (('[', ']'), True),\n        (('[', '1', '(', ']', '1', ')'), False),\n    ]\n\n    papni = run_PAPNI(list_data, vpa_alphabet, algorithm='gsm', print_info=True)\n    papni.visualize()\n\n\ndef passive_vpa_learning_arithmetics():\n    from aalpy.learning_algs import run_PAPNI\n    from aalpy.utils.BenchmarkVpaModels import gen_arithmetic_data\n    arithmetic_data, vpa_alphabet = gen_arithmetic_data(num_sequences=4000, min_seq_len=2, max_seq_len=10)\n\n    print(f\"Alphabet: {vpa_alphabet}\")\n\n    print('Data:')\n    for i in range(10):\n        print(arithmetic_data[i])\n\n    learned_model = run_PAPNI(arithmetic_data, vpa_alphabet)\n    learned_model.visualize()\n\n\ndef passive_vpa_learning_on_all_benchmark_models():\n    from aalpy.learning_algs import run_PAPNI\n    from aalpy.utils.BenchmarkVpaModels import vpa_L1, vpa_L12, vpa_for_odd_parentheses\n    from aalpy.utils import generate_input_output_data_from_vpa, convert_i_o_traces_for_RPNI\n\n    for gt in [vpa_L1(), vpa_L12(), vpa_for_odd_parentheses()]:\n        vpa_alphabet = gt.input_alphabet\n        data = generate_input_output_data_from_vpa(gt, num_sequences=2000, max_seq_len=16)\n\n        papni = run_PAPNI(data, vpa_alphabet, algorithm='gsm', print_info=True)\n\n        for seq, o in data:\n            papni.reset_to_initial()\n            learned_output = papni.execute_sequence(papni.initial_state, seq)[-1]\n            if o != learned_output:\n                print(seq, o, learned_output)\n                assert False, 'Papni Learned Model not consistent with data.'\n\n        print('PAPNI model conforms to data.')\n\n\ndef gsm_rpni():\n    from aalpy import load_automaton_from_file\n    from aalpy.utils.Sampling import get_data_from_input_sequence, sample_with_length_limits\n    from aalpy.learning_algs.general_passive.GeneralizedStateMerging import run_GSM\n\n    automaton = load_automaton_from_file(\"DotModels/car_alarm.dot\", \"moore\")\n    input_traces = sample_with_length_limits(automaton.get_input_alphabet(), 100, 20, 30)\n    traces = get_data_from_input_sequence(automaton, input_traces, \"io_traces\")\n\n    learned_model = run_GSM(traces, output_behavior=\"moore\", transition_behavior=\"deterministic\")\n    learned_model.visualize()\n\n\ndef gsm_edsm():\n    from typing import Dict\n    from aalpy import load_automaton_from_file\n    from aalpy.utils.Sampling import get_io_traces, sample_with_length_limits\n    from aalpy.learning_algs.general_passive.GeneralizedStateMerging import run_GSM\n    from aalpy.learning_algs.general_passive.ScoreFunctionsGSM import ScoreCalculation\n    from aalpy.learning_algs.general_passive.GsmNode import GsmNode\n\n    automaton = load_automaton_from_file(\"DotModels/car_alarm.dot\", \"moore\")\n    input_traces = sample_with_length_limits(automaton.get_input_alphabet(), 100, 20, 30)\n    traces = get_io_traces(automaton, input_traces)\n\n    def EDSM_score(part: Dict[GsmNode, GsmNode]):\n        nr_partitions = len(set(part.values()))\n        nr_merged = len(part)\n        return nr_merged - nr_partitions\n\n    score = ScoreCalculation(score_function=EDSM_score)\n    learned_model = run_GSM(traces, output_behavior=\"moore\", transition_behavior=\"deterministic\", score_calc=score)\n    learned_model.visualize()\n\n\ndef gsm_likelihood_ratio():\n    from typing import Dict\n    from scipy.stats import chi2\n    from aalpy.learning_algs.general_passive.GeneralizedStateMerging import run_GSM\n    from aalpy.learning_algs.general_passive.ScoreFunctionsGSM import ScoreFunction, differential_info, ScoreCalculation\n    from aalpy.learning_algs.general_passive.GsmNode import GsmNode\n    from aalpy.utils.Sampling import get_io_traces, sample_with_length_limits\n    from aalpy import load_automaton_from_file\n\n    automaton = load_automaton_from_file(\"DotModels/MDPs/faulty_car_alarm.dot\", \"mdp\")\n    input_traces = sample_with_length_limits(automaton.get_input_alphabet(), 2000, 20, 30)\n    traces = get_io_traces(automaton, input_traces)\n\n    def likelihood_ratio_score(alpha=0.05) -> ScoreFunction:\n        if not 0 < alpha <= 1:\n            raise ValueError(f\"Confidence {alpha} not between 0 and 1\")\n\n        def score_fun(part: Dict[GsmNode, GsmNode]):\n            llh_diff, param_diff = differential_info(part)\n            if param_diff == 0:\n                # This should cover the corner case when the partition merges only states with no outgoing transitions.\n                return -1  # Let them be very bad merges.\n            score = 1 - chi2.cdf(2 * llh_diff, param_diff)\n            if score < alpha:\n                return False\n            return score\n\n        return score_fun\n\n    score = ScoreCalculation(score_function=likelihood_ratio_score())\n    learned_model = run_GSM(traces, output_behavior=\"moore\", transition_behavior=\"stochastic\", score_calc=score)\n    learned_model.visualize()\n\n\ndef example_Alergia_extension():\n    from aalpy.learning_algs.general_passive.GeneralizedStateMerging import run_GSM\n    from aalpy.learning_algs.general_passive.ScoreFunctionsGSM import hoeffding_compatibility, ScoreCalculation\n    from aalpy.learning_algs.general_passive.GsmNode import GsmNode\n    from aalpy.utils.Sampling import get_io_traces, sample_with_length_limits\n    from aalpy import load_automaton_from_file\n\n    automaton = load_automaton_from_file(\"DotModels/MDPs/faulty_car_alarm.dot\", \"mdp\")\n    input_traces = sample_with_length_limits(automaton.get_input_alphabet(), 2000, 20, 30)\n    traces = get_io_traces(automaton, input_traces)\n\n    # NOTE THAT This example is equivalent to a call to a function run_Alergia_EDSM\n\n    class IOAlergiaWithEDSM(ScoreCalculation):\n        def __init__(self, epsilon):\n            super().__init__()\n            self.ioa_compatibility = hoeffding_compatibility(epsilon)\n            self.evidence = 0\n\n        def reset(self):\n            self.evidence = 0\n\n        def local_compatibility(self, a: GsmNode, b: GsmNode):\n            self.evidence += 1\n            return self.ioa_compatibility(a, b)\n\n        def score_function(self, part: dict[GsmNode, GsmNode]):\n            return self.evidence\n\n    epsilon = 0.05\n    scores = {\n        \"IOA\": ScoreCalculation(hoeffding_compatibility(epsilon)),\n        \"IOA+EDSM\": IOAlergiaWithEDSM(epsilon),\n    }\n\n    for name, score in scores.items():\n        learned_model = run_GSM(traces, output_behavior=\"moore\", transition_behavior=\"stochastic\", score_calc=score,\n                            compatibility_on_pta=True, compatibility_on_futures=True)\n        learned_model.visualize(name)\n\n\ndef gsm_IOAlergia_domain_knowldege():\n    from aalpy.learning_algs.general_passive.GeneralizedStateMerging import run_GSM\n    from aalpy.learning_algs.general_passive.ScoreFunctionsGSM import hoeffding_compatibility, ScoreCalculation\n    from aalpy.learning_algs.general_passive.GsmNode import GsmNode\n    from aalpy.utils.Sampling import get_io_traces, sample_with_length_limits\n    from aalpy import load_automaton_from_file\n\n    automaton = load_automaton_from_file(\"DotModels/MDPs/faulty_car_alarm.dot\", \"mdp\")\n    input_traces = sample_with_length_limits(automaton.get_input_alphabet(), 2000, 20, 30)\n    traces = get_io_traces(automaton, input_traces)\n\n    ioa_compat = hoeffding_compatibility(0.05)\n\n    def get_parity(node: GsmNode):\n        pref = node.get_prefix()\n        return [sum(in_s == key for in_s, out_s in pref) % 2 for key in [\"l\", \"d\"]]\n\n    # The car has 4 physical states arising from the combination of locked/unlocked and open/closed.\n    # Each input toggles a transition between these four states. While the car alarm system has richer behavior than that,\n    # it still needs to discern the physical states. Thus, in every sane implementation of a car alarm system, every state\n    # is associated with exactly one physical state. This additional assumption can be enforced by checking the parity of\n    # all input symbols during merging.\n    def ioa_compat_domain_knowledge(a: GsmNode, b: GsmNode):\n        parity = get_parity(a) == get_parity(b)\n        ioa = ioa_compat(a, b)\n        return parity and ioa\n\n    scores = {\n        \"IOA\": ScoreCalculation(ioa_compat),\n        \"IOA+DK\": ScoreCalculation(ioa_compat_domain_knowledge),\n    }\n    for name, score in scores.items():\n        learned_model = run_GSM(traces, output_behavior=\"moore\", transition_behavior=\"stochastic\", score_calc=score,\n                            compatibility_on_pta=True, compatibility_on_futures=True)\n        learned_model.visualize(name)\n\ndef k_tails_example():\n    from aalpy.learning_algs import run_k_tails\n    from aalpy.utils import generate_random_deterministic_automata, generate_input_output_data_from_automata\n\n    model = generate_random_deterministic_automata('moore', num_states=5,\n                                                   input_alphabet_size=3,\n                                                   output_alphabet_size=3)\n\n    data = generate_input_output_data_from_automata(model, num_sequences=2000,\n                                                    min_seq_len=1, max_seq_len=12,\n                                                    sequance_type='io_traces')\n\n    # k-trails works with prefix-closed input output traces, not labeled sequences like RPNI\n    # data is a list of sequences in this format [(i1, o1), (i2, o1), (i1, o3)]\n\n    # run k_tails with two different k's\n    k_trails_1 = run_k_tails(data, k=3, automaton_type='moore', print_info=True)\n\n    k_tails_2 = run_k_tails(data, k=8, automaton_type='mealy', print_info=True)\n"
  },
  {
    "path": "LICENCE.txt",
    "content": "MIT License\n\nCopyright (c) 2026  Edi Muskardin\n                    TU Graz - SAL Dependable Embedded Systems Lab (DES Lab),\n                    Silicon Austria Labs\n\nPermission is hereby granted, free of charge, to any person obtaining a copy\nof this software and associated documentation files (the \"Software\"), to deal\nin the Software without restriction, including without limitation the rights\nto use, copy, modify, merge, publish, distribute, sublicense, and/or sell\ncopies of the Software, and to permit persons to whom the Software is\nfurnished to do so, subject to the following conditions:\n\nThe above copyright notice and this permission notice shall be included in all\ncopies or substantial portions of the Software.\n\nTHE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\nIMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\nFITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE\nAUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\nLIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,\nOUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE\nSOFTWARE."
  },
  {
    "path": "README.md",
    "content": "<div align=\"center\">\n\n<picture style=\"align: center; padding-bottom: 8mm;\">\n  <source media=\"(prefers-color-scheme: dark)\" srcset=\"./docs/logo_dark.png\">\n  <img width=60% height=60% alt=\"AALpy Logo\" src=\"./docs/logo_light.png\">\n</picture>\n\n<br>\n<br>\n\n[![Python application](https://github.com/DES-Lab/AALpy/actions/workflows/python-app.yml/badge.svg)](https://github.com/DES-Lab/AALpy/actions/workflows/python-app.yml)\n[![CodeQL](https://github.com/DES-Lab/AALpy/actions/workflows/codeql-analysis.yml/badge.svg)](https://github.com/DES-Lab/AALpy/actions/workflows/codeql-analysis.yml)\n![PyPI - Downloads](https://img.shields.io/pypi/dm/aalpy)\n\n[![GitHub issues](https://img.shields.io/github/issues/DES-Lab/AALpy)](https://github.com/DES-Lab/AALpy/issues)\n![GitHub pull requests](https://img.shields.io/github/issues-pr/des-lab/aalpy)\n[![Python 3.6](https://img.shields.io/badge/python-3.6%2B-blue)](https://www.python.org/downloads/release/python-360/)\n![PyPI - Wheel](https://img.shields.io/pypi/wheel/aalpy)\n[![Maintenance](https://img.shields.io/badge/Maintained%3F-yes-green.svg)](https://GitHub.com/Naereen/StrapDown.js/graphs/commit-activity)\n[![License: MIT](https://img.shields.io/badge/License-MIT-blue.svg)](https://opensource.org/licenses/MIT)\n\n</div>\n<hr />\n\nAALpy is a light-weight [automata learning](https://medium.com/p/82f7ec21d50d) library written in Python. \nYou can start learning models of black-box systems with a few lines of code.\n\n<!---\nAALpy supports both **active** and **passive** automata learning algorithms that can be used to learn a variety of modeling formalisms, including \n**deterministic**, **non-deterministic**, and **stochastic automata**, as well as **deterministic context-free grammars/pushdown automata**.\n\nAALpy also features a Generalized State Merging (GSM) framework based on the [Red-Blue method](https://www.researchgate.net/publication/221523449_Results_of_the_Abbadingo_One_DFA_Learning_Competition_and_a_New_Evidence-Driven_State_Merging_Algorithm), which simplifies the implementation of more complex and extensible passive learning algorithms, such as EDSM, k-tails and likelihood-ratio.\n-->\n\n<div align=\"center\">\n   \n| **Automata Type** |                      **Supported Formalisms**                     | **Active Algorithms**                                          |              **Passive Algorithms**                |\n|-------------------|:-----------------------------------------------------------------:|---------------------------------------------------------|-------------------------------|\n| Deterministic     |                 DFAs <br /> Mealy Machines <br /> Moore Machines                 | L* <br /> KV <br />  L#           |        RPNI <br /> EDSM       |\n| Non-Deterministic |                      ONFSM <br /> Non-deterministic Moore Machines <br /> Abstracted ONFSM                      | L*<sub>ONFSM</sub>                                |  k-tails    |  \n| Stochastic        | Markov Decision Processes <br /> Stochastic Mealy Machines <br /> Markov Chains | L*<sub>MDP</sub> <br /> L*<sub>SMM</sub> | Alergia <br /> IoAlergia <br /> Alergia<sub>EDSM</sub> |    \n| Pushdown          |          VPA/SEVPA                                                            | KV<sub>VPA</sub>                  |    PAPNI      |    \n</div>\n\n## Installation\n\nUse the package manager [pip](https://pip.pypa.io/en/stable/) to install the latest release of AALpy:\n```bash\npip install aalpy\n```\nTo install current version of the master branch (it might contain bugfixes and added functionalities between releases):\n```bash\npip install https://github.com/DES-Lab/AALpy/archive/master.zip\n```\nThe minimum required version of Python is 3.6.  \nEnsure that you have [Graphviz](https://graphviz.org/) installed and added to your path if you want to visualize models.\n\nFor manual installation, clone the repo and install `pydot` (the only dependency).\n\n## Documentation and Wiki\n\nHigh level introduction to automata learning can be found at the following [Medium post](https://medium.com/p/82f7ec21d50d).\nIf you are interested in automata learning or would like to understand the automata learning process in more detail,\nplease check out our **Wiki**. On Wiki, you will find more detailed examples on how to use AALpy.\n- <https://github.com/DES-Lab/AALpy/wiki>\n\n***[Examples.py](https://github.com/DES-Lab/AALpy/blob/master/Examples.py)*** contains examples covering almost the whole of AALpy's functionality and its a great starting point. \n\n### Usage\n\nAll active automata learning procedures follow this high-level approach:\n- [Define the input alphabet and system under learning (SUL)](https://github.com/DES-Lab/AALpy/wiki/SUL-Interface,-or-How-to-Learn-Your-Systems)\n- [Choose the equivalence oracle](https://github.com/DES-Lab/AALpy/wiki/Equivalence-Oracles)\n- [Run the learning algorithm](https://github.com/DES-Lab/AALpy/wiki/Setting-Up-Learning)\n\nPassive learning algorithm simply require you to provide data in the appropriate format (check Wiki and Examples) and run the learning function.\n\n\n<details>\n  <summary>Code snipped demonstrating some of AALpy's functionalities</summary>\n\nThe following snippet demonstrates a short example in which an automaton is either [loaded](https://github.com/DES-Lab/AALpy/wiki/Loading,Saving,-Syntax-and-Visualization-of-Automata) or [randomly generated](https://github.com/DES-Lab/AALpy/wiki/Generation-of-Random-Automata) and then [learned](https://github.com/DES-Lab/AALpy/wiki/Setting-Up-Learning).\n```python\nfrom aalpy.utils import load_automaton_from_file, generate_random_deterministic_automata\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.oracles import RandomWalkEqOracle\nfrom aalpy.learning_algs import run_Lstar, run_KV\n\n# load an automaton\n# automaton = load_automaton_from_file('path_to_the_file.dot', automaton_type='dfa')\n\n# or randomly generate one\nrandom_dfa = generate_random_deterministic_automata(automaton_type='dfa', num_states=8, \n                                                    input_alphabet_size=5, output_alphabet_size=2)\n\n# get input alphabet of the automaton\nalphabet = random_dfa.get_input_alphabet()\n\n# loaded or randomly generated automata are considered as BLACK-BOX that is queried\n# learning algorithm has no knowledge about its structure\n# create a SUL instance for the automaton/system under learning\nsul = AutomatonSUL(random_dfa)\n\n# define the equivalence oracle\neq_oracle = RandomWalkEqOracle(alphabet, sul, num_steps=5000, reset_prob=0.09)\n\n# start learning\n# run_KV is for the most part reacquires much fewer interactions with the system under learning\nlearned_dfa = run_KV(alphabet, sul, eq_oracle, automaton_type='dfa')\n# or run L*\n# learned_dfa_lstar = run_Lstar(alphabet, sul, eq_oracle, automaton_type='dfa')\n\n# save automaton to file and visualize it\n# save_automaton_to_file(learned_dfa, path='Learned_Automaton', file_type='dot')\n# or\nlearned_dfa.save()\n\n# visualize automaton\n# visualize_automaton(learned_dfa)\nlearned_dfa.visualize()\n# or just print its DOT representation\nprint(learned_dfa)\n```\n</details>\n\nTo make experiments reproducible, define a random seed at the beginning of your program.\n```Python\nfrom random import seed\nseed(2) # all experiments will be reproducible\n```\n\n## Selected Applications\nAALpy has been used to:\n- [Learn Models of Bluetooth Low Energy](https://github.com/apferscher/ble-learning)\n- [Find bugs in VIM text editor](https://github.com/DES-Lab/AALpy/discussions/13)\n- [Learn Input-Output Behavior of RNNs](https://github.com/DES-Lab/Extracting-FSM-From-RNNs)\n- [Learn Models of GIT](https://github.com/taburg/git-learning)\n- [Solve RL Problems](https://github.com/DES-Lab/Learning-Environment-Models-with-Continuous-Stochastic-Dynamics)\n\n## Cite AALpy and Research Contact\nIf you use AALpy in your research, please cite us with of the following:\n- [Extended version (preferred)](https://www.researchgate.net/publication/359517046_AALpy_an_active_automata_learning_library/citation/download)\n- [Tool paper](https://dblp.org/rec/conf/atva/MuskardinAPPT21.html?view=bibtex)\n\nIf you have research suggestions or you need specific help concerning your research, feel free to start a [discussion](https://github.com/DES-Lab/AALpy/discussions).\nWe are happy to help you and consult you in developing automata learning algorithms and in applying automata learning in various domains.\n\n## Contributing\nPull requests are welcome. For significant changes, please open an issue first to discuss what you would like to change.\nIn case of any questions or possible bugs, please open issues.\n"
  },
  {
    "path": "aalpy/SULs/AutomataSUL.py",
    "content": "from aalpy.base import Automaton\nfrom aalpy.base import SUL\n\n\nclass AutomatonSUL(SUL):\n    def __init__(self, automaton: Automaton):\n        super().__init__()\n        self.automaton: Automaton = automaton\n\n    def pre(self):\n        self.automaton.reset_to_initial()\n\n    def step(self, letter=None):\n        return self.automaton.step(letter)\n\n    def post(self):\n        pass\n\n\nMealySUL = OnfsmSUL = StochasticMealySUL = DfaSUL = MooreSUL = MdpSUL = McSUL = SevpaSUL = AutomatonSUL\n"
  },
  {
    "path": "aalpy/SULs/PyMethodSUL.py",
    "content": "from aalpy.base import SUL\n\n\nclass FunctionDecorator:\n    \"\"\"\n    Decorator of methods found in the SUL class.\n    \"\"\"\n\n    def __init__(self, function, args=None):\n        \"\"\"\n        Args:\n\n            function: function of the class to be learned\n\n            args: arguments to be passed to the function. Either a single argument, or a list of arguments if\n                function has more than one parameter.\n        \"\"\"\n\n        self.function = function\n        self.args = None\n        if args:\n            self.args = [args] if not isinstance(args, (list, tuple)) else args\n\n    def __repr__(self):\n        if self.args:\n            return f'{self.function.__name__}{self.args}'\n        return self.function.__name__\n\n\nclass PyClassSUL(SUL):\n    \"\"\"\n    System under learning for inferring python classes.\n    \"\"\"\n    def __init__(self, python_class):\n        \"\"\"\n        Args:\n\n            python_class: class to be learned\n        \"\"\"\n        super().__init__()\n        self._class = python_class\n        self.sul: object = None\n\n    def pre(self):\n        \"\"\"\n        Do the reset by initializing the class again or call reset method of the class\n        \"\"\"\n        self.sul = self._class()\n\n    def post(self):\n        pass\n\n    def step(self, letter):\n        \"\"\"\n        Executes the function(with arguments) found in letter against the SUL\n\n        Args:\n\n            letter: single input of type FunctionDecorator\n\n        Returns:\n\n            output of the function\n\n        \"\"\"\n        if letter.args:\n            return getattr(self.sul, letter.function.__name__, letter)(*letter.args)\n        return getattr(self.sul, letter.function.__name__, letter)()\n"
  },
  {
    "path": "aalpy/SULs/RegexSUL.py",
    "content": "from aalpy.base import SUL\nimport re\n\n\nclass RegexSUL(SUL):\n    \"\"\"\n    An example implementation of a system under learning that can be used to learn any regex expression.\n    Note that the $ is added to the expression as in this SUL only exact matches are learned.\n    \"\"\"\n    def __init__(self, regex: str):\n        super().__init__()\n        self.regex = regex if regex[-1] == '$' else regex + '$'\n        self.string = \"\"\n\n    def pre(self):\n        self.string = \"\"\n        pass\n\n    def post(self):\n        self.string = \"\"\n        pass\n\n    def step(self, letter):\n        \"\"\"\n\n        Args:\n\n            letter: single element of the input alphabet\n\n        Returns:\n\n            Whether the current string (previous string + letter) is accepted\n\n        \"\"\"\n        if letter is not None:\n            self.string += str(letter)\n        return True if re.match(self.regex, self.string) else False\n"
  },
  {
    "path": "aalpy/SULs/TomitaSUL.py",
    "content": "import re\n\nfrom aalpy.base import SUL\n\n\nclass TomitaSUL(SUL):\n    \"\"\"\n    Tomita grammars are often used as a benchmark for automata-related challenges. Simple SUL that implements all 7\n    Tomita grammars and enables their learning.\n    \"\"\"\n\n    def __init__(self, tomita_level_fun):\n        super().__init__()\n        num_fun_map = {1: tomita_1, 2: tomita_2, 3: tomita_3, 4: tomita_4, 5: tomita_5, 6: tomita_6, 7: tomita_7,\n                       -3: not_tomita_3}\n        assert tomita_level_fun in num_fun_map.keys()\n        self.string = \"\"\n        self.tomita_level = num_fun_map[tomita_level_fun]\n\n    def pre(self):\n        self.string = \"\"\n        pass\n\n    def post(self):\n        self.string = \"\"\n        pass\n\n    def step(self, letter):\n        if input:\n            self.string += str(letter)\n        return self.tomita_level(self.string)\n\n\n_not_tomita_3 = re.compile(\"((0|1)*0)*1(11)*(0(0|1)*1)*0(00)*(1(0|1)*)*$\")\n\n\ndef tomita_1(word):\n    return \"0\" not in word\n\n\ndef tomita_2(word):\n    return word == \"10\" * (int(len(word) / 2))\n\n\ndef tomita_3(word):\n    if not _not_tomita_3.match(word):\n        return True\n    return False\n\n\ndef not_tomita_3(word):\n    return not tomita_3(word)\n\n\ndef tomita_4(word):\n    return \"000\" not in word\n\n\ndef tomita_5(word):\n    return (word.count(\"0\") % 2 == 0) and (word.count(\"1\") % 2 == 0)\n\n\ndef tomita_6(word):\n    return ((word.count(\"0\") - word.count(\"1\")) % 3) == 0\n\n\ndef tomita_7(word):\n    return word.count(\"10\") <= 1\n"
  },
  {
    "path": "aalpy/SULs/__init__.py",
    "content": "from .AutomataSUL import *\nfrom .PyMethodSUL import FunctionDecorator, PyClassSUL\nfrom .RegexSUL import RegexSUL\nfrom .TomitaSUL import TomitaSUL\n"
  },
  {
    "path": "aalpy/__init__.py",
    "content": "from .automata import (\n    Dfa,\n    DfaState,\n    MarkovChain,\n    McState,\n    Mdp,\n    MdpState,\n    MealyMachine,\n    MealyState,\n    MooreMachine,\n    MooreState,\n    NDMooreMachine,\n    NDMooreState,\n    Onfsm,\n    OnfsmState,\n    Sevpa,\n    SevpaAlphabet,\n    SevpaState,\n    SevpaTransition,\n    StochasticMealyMachine,\n    StochasticMealyState,\n)\nfrom .base import (\n    SUL,\n    Automaton,\n    AutomatonState,\n    CacheTree,\n    DeterministicAutomaton,\n    Oracle,\n)\nfrom .learning_algs import (\n    run_abstracted_ONFSM_Lstar,\n    run_active_Alergia,\n    run_active_RPNI,\n    run_Alergia,\n    run_JAlergia,\n    run_KV,\n    run_Lstar,\n    run_non_det_Lstar,\n    run_RPNI,\n    run_stochastic_Lstar,\n    run_GSM,\n    run_PAPNI\n)\nfrom .oracles import (\n    BreadthFirstExplorationEqOracle,\n    CacheBasedEqOracle,\n    KWayStateCoverageEqOracle,\n    KWayTransitionCoverageEqOracle,\n    PacOracle,\n    PerfectKnowledgeEqOracle,\n    ProvidedSequencesOracleWrapper,\n    RandomWalkEqOracle,\n    RandomWMethodEqOracle,\n    RandomWordEqOracle,\n    StatePrefixEqOracle,\n    TransitionFocusOracle,\n    UserInputEqOracle,\n    WMethodEqOracle,\n    KWayStateCoverageEqOracle,\n    KWayTransitionCoverageEqOracle,\n)\nfrom .SULs import (\n    AutomatonSUL, \n    FunctionDecorator, \n    PyClassSUL, \n    RegexSUL, \n    TomitaSUL\n)\nfrom .utils import (\n    CharacterTokenizer,\n    DataHandler,\n    DelimiterTokenizer,\n    IODelimiterTokenizer,\n    bisimilar,\n    compare_automata,\n    convert_i_o_traces_for_RPNI,\n    generate_random_deterministic_automata,\n    generate_random_dfa,\n    generate_random_markov_chain,\n    generate_random_mdp,\n    generate_random_mealy_machine,\n    generate_random_moore_machine,\n    generate_random_ONFSM,\n    generate_random_sevpa,\n    generate_random_smm,\n    generate_test_cases,\n    get_correct_prop_values,\n    get_properties_file,\n    load_automaton_from_file,\n    make_input_complete,\n    mdp_2_prism_format,\n    model_check_experiment,\n    model_check_properties,\n    save_automaton_to_file,\n    statistical_model_checking,\n    visualize_automaton,\n)\n"
  },
  {
    "path": "aalpy/automata/Dfa.py",
    "content": "from typing import Generic, Dict\n\nfrom aalpy.base import AutomatonState, DeterministicAutomaton\nfrom aalpy.base.Automaton import InputType\n\n\nclass DfaState(AutomatonState, Generic[InputType]):\n    \"\"\"\n    Single state of a deterministic finite automaton.\n    \"\"\"\n\n    def __init__(self, state_id, is_accepting=False):\n        super().__init__(state_id)\n        self.transitions : Dict[InputType, DfaState] = dict()\n        self.is_accepting = is_accepting\n\n    @property\n    def output(self):\n        return self.is_accepting\n\nclass Dfa(DeterministicAutomaton[DfaState[InputType]]):\n    \"\"\"\n    Deterministic finite automaton.\n    \"\"\"\n\n    def __init__(self, initial_state: DfaState, states):\n        super().__init__(initial_state, states)\n\n    def step(self, letter):\n        \"\"\"\n        Args:\n\n            letter: single input that is looked up in the transition table of the DfaState\n\n        Returns:\n\n            True if the reached state is an accepting state, False otherwise\n        \"\"\"\n        if letter is not None:\n            self.current_state = self.current_state.transitions[letter]\n        return self.current_state.is_accepting\n\n    def compute_characterization_set(self, char_set_init=None, online_suffix_closure=True, split_all_blocks=True,\n                                     return_same_states=False, raise_warning=True):\n        return super(Dfa, self).compute_characterization_set(char_set_init if char_set_init else [()],\n                                                             online_suffix_closure, split_all_blocks,\n                                                             return_same_states, raise_warning)\n\n    def compute_output_seq(self, state, sequence):\n        if not sequence:\n            return [state.is_accepting]\n        return super(Dfa, self).compute_output_seq(state, sequence)\n\n    def execute_sequence(self, origin_state, seq):\n        if not seq:\n            self.current_state = origin_state\n            return self.current_state.output\n        return super(Dfa, self).execute_sequence(origin_state, seq)\n\n\n    def to_state_setup(self):\n        state_setup_dict = {}\n\n        # ensure prefixes are computed\n        self.compute_prefixes()\n\n        sorted_states = sorted(self.states, key=lambda x: len(x.prefix) if x.prefix is not None else len(self.states))\n        for s in sorted_states:\n            state_setup_dict[s.state_id] = (s.is_accepting, {k: v.state_id for k, v in s.transitions.items()})\n\n        return state_setup_dict\n\n    @staticmethod\n    def from_state_setup(state_setup : dict, **kwargs):\n        \"\"\"\n            First state in the state setup is the initial state.\n            Example state setup:\n            state_setup = {\n                    \"a\": (True, {\"x\": \"b1\", \"y\": \"a\"}),\n                    \"b1\": (False, {\"x\": \"b2\", \"y\": \"a\"}),\n                    \"b2\": (True, {\"x\": \"b3\", \"y\": \"a\"}),\n                    \"b3\": (False, {\"x\": \"b4\", \"y\": \"a\"}),\n                    \"b4\": (False, {\"x\": \"c\", \"y\": \"a\"}),\n                    \"c\": (True, {\"x\": \"a\", \"y\": \"a\"}),\n                }\n\n            Args:\n\n                state_setup: map from state_id to tuple(output and transitions_dict)\n\n            Returns:\n\n                DFA\n            \"\"\"\n        # state_setup should map from state_id to tuple(is_accepting and transitions_dict)\n\n        # build states with state_id and output\n        states = {key: DfaState(key, val[0]) for key, val in state_setup.items()}\n\n        # add transitions to states\n        for state_id, state in states.items():\n            for _input, target_state_id in state_setup[state_id][1].items():\n                state.transitions[_input] = states[target_state_id]\n\n        # states to list\n        states = [state for state in states.values()]\n\n        # build moore machine with first state as starting state\n        dfa = Dfa(states[0], states)\n\n        for state in states:\n            state.prefix = dfa.get_shortest_path(dfa.initial_state, state)\n\n        return dfa"
  },
  {
    "path": "aalpy/automata/MarkovChain.py",
    "content": "import random\nfrom typing import Generic, Tuple, List\n\nfrom aalpy.base import Automaton, AutomatonState\nfrom aalpy.base.Automaton import OutputType\n\n\nclass McState(AutomatonState, Generic[OutputType]):\n    def __init__(self, state_id, output):\n        super().__init__(state_id)\n        self.output: OutputType = output\n        # transitions is a list of tuples (Node(output), probability)\n        self.transitions: List[Tuple[McState, float]] = list()\n\n\nclass MarkovChain(Automaton[McState[OutputType]]):\n    \"\"\"Markov Decision Process.\"\"\"\n\n    def __init__(self, initial_state, states: list):\n        super().__init__(initial_state, states)\n\n    def reset_to_initial(self):\n        self.current_state = self.initial_state\n\n    def step(self, letter=None):\n        \"\"\"Next step is determined based on transition probabilities of the current state.\n\n        Args:\n\n            letter: input\n\n        Returns:\n\n            output of the current state\n        \"\"\"\n\n        if not self.current_state.transitions:\n            return self.current_state.output\n\n        probability_distributions = [i[1] for i in self.current_state.transitions]\n        states = [i[0] for i in self.current_state.transitions]\n\n        new_state = random.choices(states, probability_distributions, k=1)[0]\n\n        self.current_state = new_state\n        return self.current_state.output\n\n    def step_to(self, input):\n        \"\"\"Performs a step on the automaton based on the input `inp` and output `out`.\n\n        Args:\n\n            input: input\n\n        Returns:\n\n            output of the reached state, None otherwise\n        \"\"\"\n        for s in self.current_state.transitions:\n            if s[0].output == input:\n                self.current_state = s[0]\n                return self.current_state.output\n        return None\n\n    @staticmethod\n    def from_state_setup(state_setup: dict, **kwargs):\n        raise NotImplementedError()  # TODO implement\n\n    def to_state_setup(self):\n        raise NotImplementedError()  # TODO implement\n"
  },
  {
    "path": "aalpy/automata/Mdp.py",
    "content": "import random\nfrom collections import defaultdict\nfrom typing import Dict, Generic, List, Tuple\n\nfrom aalpy.base import Automaton, AutomatonState\nfrom aalpy.base.Automaton import OutputType, InputType\n\n\nclass MdpState(AutomatonState, Generic[InputType, OutputType]):\n    \"\"\"\n    For transitions, each transition is a tuple (Node(output), probability)\n    \"\"\"\n    def __init__(self, state_id, output=None):\n        super().__init__(state_id)\n        self.output: OutputType = output\n        # each transition is a tuple (Node(output), probability)\n        self.transitions: Dict[InputType, List[Tuple[MdpState, float]]] = defaultdict(list)\n\n\nclass Mdp(Automaton[MdpState[InputType, OutputType]]):\n    \"\"\"Markov Decision Process.\"\"\"\n\n    def __init__(self, initial_state: MdpState, states: list):\n        super().__init__(initial_state, states)\n\n    def reset_to_initial(self):\n        self.current_state = self.initial_state\n\n    def step(self, letter):\n        \"\"\"Next step is determined based on transition probabilities of the current state.\n\n        Args:\n\n            letter: input\n\n        Returns:\n\n            output of the current state\n        \"\"\"\n        if letter is None:\n            return self.current_state.output\n\n        probability_distributions = [i[1] for i in self.current_state.transitions[letter]]\n        states = [i[0] for i in self.current_state.transitions[letter]]\n\n        new_state = random.choices(states, probability_distributions, k=1)[0]\n\n        self.current_state = new_state\n        return self.current_state.output\n\n    def step_to(self, inp, out):\n        \"\"\"Performs a step on the automaton based on the input `inp` and output `out`.\n\n        Args:\n\n            inp: input\n            out: output\n\n        Returns:\n\n            output of the reached state, None otherwise\n        \"\"\"\n        for new_state in self.current_state.transitions[inp]:\n            if new_state[0].output == out:\n                self.current_state = new_state[0]\n                return out\n        return None\n\n    def to_state_setup(self):\n        state_setup_dict = {}\n\n        # ensure initial state is first in the list\n        if self.states[0] != self.initial_state:\n            self.states.remove(self.initial_state)\n            self.states.insert(0, self.initial_state)\n\n        for s in self.states:\n            state_setup_dict[s.state_id] = (s.output, {k: [(node.state_id, prob) for node, prob in v]\n                                                       for k, v in s.transitions.items()})\n\n        return state_setup_dict\n\n    @staticmethod\n    def from_state_setup(state_setup: dict, **kwargs):\n        states_map = {key: MdpState(key, output=value[0]) for key, value in state_setup.items()}\n\n        for key, values in state_setup.items():\n            source = states_map[key]\n            for i, transitions in values[1].items():\n                for node, prob in transitions:\n                    source.transitions[i].append((states_map[node], prob))\n\n        initial_state = states_map[list(state_setup.keys())[0]]\n        return Mdp(initial_state, list(states_map.values()))\n"
  },
  {
    "path": "aalpy/automata/MealyMachine.py",
    "content": "from typing import Generic, Dict\n\nfrom aalpy.base import AutomatonState, DeterministicAutomaton\nfrom aalpy.base.Automaton import OutputType, InputType\n\n\nclass MealyState(AutomatonState, Generic[InputType, OutputType]):\n    \"\"\"\n    Single state of a Mealy machine. Each state has an output_fun dictionary that maps inputs to outputs.\n    \"\"\"\n\n    def __init__(self, state_id):\n        super().__init__(state_id)\n        self.transitions : Dict[InputType, MealyState] = dict()\n        self.output_fun : Dict[InputType, OutputType] = dict()\n\n\nclass MealyMachine(DeterministicAutomaton[MealyState[InputType, OutputType]]):\n\n    def __init__(self, initial_state: MealyState, states):\n        super().__init__(initial_state, states)\n\n    def step(self, letter):\n        \"\"\"\n        In Mealy machines, outputs depend on the input and the current state.\n\n            Args:\n\n                letter: single input that is looked up in the transition and output functions\n\n            Returns:\n\n                output corresponding to the input from the current state\n        \"\"\"\n        output = self.current_state.output_fun[letter]\n        self.current_state = self.current_state.transitions[letter]\n        return output\n\n    def to_state_setup(self):\n        state_setup_dict = {}\n\n        # ensure prefixes are computed\n        self.compute_prefixes()\n\n        sorted_states = sorted(self.states, key=lambda x: len(x.prefix) if x.prefix is not None else len(self.states))\n        for s in sorted_states:\n            state_setup_dict[s.state_id] = {k: (s.output_fun[k], v.state_id) for k, v in s.transitions.items()}\n\n        return state_setup_dict\n\n    @staticmethod\n    def from_state_setup(state_setup : dict, **kwargs):\n        \"\"\"\n            First state in the state setup is the initial state.\n            state_setup = {\n                \"a\": {\"x\": (\"o1\", \"b1\"), \"y\": (\"o2\", \"a\")},\n                \"b1\": {\"x\": (\"o3\", \"b2\"), \"y\": (\"o1\", \"a\")},\n                \"b2\": {\"x\": (\"o1\", \"b3\"), \"y\": (\"o2\", \"a\")},\n                \"b3\": {\"x\": (\"o3\", \"b4\"), \"y\": (\"o1\", \"a\")},\n                \"b4\": {\"x\": (\"o1\", \"c\"), \"y\": (\"o4\", \"a\")},\n                \"c\": {\"x\": (\"o3\", \"a\"), \"y\": (\"o5\", \"a\")},\n            }\n\n\n        Args:\n\n            state_setup:\n                state_setup should map from state_id to tuple(transitions_dict).\n\n        Returns:\n\n            Mealy Machine\n        \"\"\"\n        # state_setup should map from state_id to tuple(transitions_dict).\n        # Each entry in transition dict is <input> : <output, new_state_id>\n\n        # build states with state_id and output\n        states = {key: MealyState(key) for key, _ in state_setup.items()}\n\n        # add transitions to states\n        for state_id, state in states.items():\n            for _input, (output, new_state) in state_setup[state_id].items():\n                state.transitions[_input] = states[new_state]\n                state.output_fun[_input] = output\n\n        # states to list\n        states = [state for state in states.values()]\n\n        # build moore machine with first state as starting state\n        mm = MealyMachine(states[0], states)\n\n        for state in states:\n            state.prefix = mm.get_shortest_path(mm.initial_state, state)\n\n        return mm"
  },
  {
    "path": "aalpy/automata/MooreMachine.py",
    "content": "from typing import Generic, Dict\n\nfrom aalpy.base import AutomatonState, DeterministicAutomaton\nfrom aalpy.base.Automaton import InputType, OutputType\n\n\nclass MooreState(AutomatonState, Generic[InputType,OutputType]):\n    \"\"\"\n    Single state of a Moore machine. Each state has an output value.\n    \"\"\"\n\n    def __init__(self, state_id, output=None):\n        super().__init__(state_id)\n        self.output : OutputType = output\n        self.transitions : Dict[InputType, MooreState] = dict()\n\n\nclass MooreMachine(DeterministicAutomaton[MooreState[InputType, OutputType]]):\n\n    def __init__(self, initial_state: AutomatonState, states: list):\n        super().__init__(initial_state, states)\n\n    def step(self, letter):\n        \"\"\"\n        In Moore machines outputs depend on the current state.\n\n        Args:\n\n            letter: single input that is looked up in the transition function leading to a new state\n\n        Returns:\n\n            the output of the reached state\n\n        \"\"\"\n        if letter is not None:\n            self.current_state = self.current_state.transitions[letter]\n        return self.current_state.output\n\n    def compute_characterization_set(self, char_set_init=None, online_suffix_closure=True, split_all_blocks=True,\n                                     return_same_states=False, raise_warning=True):\n        return super(MooreMachine, self).compute_characterization_set(char_set_init if char_set_init else [()],\n                                                                      online_suffix_closure, split_all_blocks,\n                                                                      return_same_states, raise_warning)\n\n    def compute_output_seq(self, state, sequence):\n        if not sequence:\n            return [state.output]\n        return super(MooreMachine, self).compute_output_seq(state, sequence)\n\n    def execute_sequence(self, origin_state, seq):\n        if not seq:\n            self.current_state = origin_state\n            return self.current_state.output\n        return super(MooreMachine, self).execute_sequence(origin_state, seq)\n\n    def to_state_setup(self):\n        state_setup_dict = {}\n\n        # ensure prefixes are computed\n        self.compute_prefixes()\n\n        sorted_states = sorted(self.states, key=lambda x: len(x.prefix) if x.prefix is not None else len(self.states))\n        for s in sorted_states:\n            state_setup_dict[s.state_id] = (s.output, {k: v.state_id for k, v in s.transitions.items()})\n\n        return state_setup_dict\n\n    @staticmethod\n    def from_state_setup(state_setup : dict, **kwargs):\n        \"\"\"\n        First state in the state setup is the initial state.\n        Example state setup:\n        state_setup = {\n                \"a\": (\"a\", {\"x\": \"b1\", \"y\": \"a\"}),\n                \"b1\": (\"b\", {\"x\": \"b2\", \"y\": \"a\"}),\n                \"b2\": (\"b\", {\"x\": \"b3\", \"y\": \"a\"}),\n                \"b3\": (\"b\", {\"x\": \"b4\", \"y\": \"a\"}),\n                \"b4\": (\"b\", {\"x\": \"c\", \"y\": \"a\"}),\n                \"c\": (\"c\", {\"x\": \"a\", \"y\": \"a\"}),\n            }\n\n        Args:\n\n            state_setup: map from state_id to tuple(output and transitions_dict)\n\n        Returns:\n\n            Moore machine\n        \"\"\"\n\n        # build states with state_id and output\n        states = {key: MooreState(key, val[0]) for key, val in state_setup.items()}\n\n        # add transitions to states\n        for state_id, state in states.items():\n            for _input, target_state_id in state_setup[state_id][1].items():\n                state.transitions[_input] = states[target_state_id]\n\n        # states to list\n        states = [state for state in states.values()]\n\n        # build moore machine with first state as starting state\n        mm = MooreMachine(states[0], states)\n\n        for state in states:\n            state.prefix = mm.get_shortest_path(mm.initial_state, state)\n\n        return mm"
  },
  {
    "path": "aalpy/automata/NonDeterministicMooreMachine.py",
    "content": "import random\nfrom collections import defaultdict\nfrom typing import List, Dict, Generic\n\nfrom aalpy.base import AutomatonState, Automaton\nfrom aalpy.base.Automaton import OutputType, InputType\n\n\nclass NDMooreState(AutomatonState, Generic[InputType, OutputType]):\n    \"\"\"\n    Single state of a non-deterministic Moore machine. Each state has an output value.\n    \"\"\"\n\n    def __init__(self, state_id, output=None):\n        super().__init__(state_id)\n        self.transitions: Dict[InputType, List['NDMooreState']] = defaultdict(lambda: list())\n        self.output: OutputType = output\n\n\nclass NDMooreMachine(Automaton[NDMooreState[InputType, OutputType]]):\n\n    def to_state_setup(self):\n        state_setup = dict()\n\n        def set_dict_entry(state: NDMooreState):\n            state_setup[state.state_id] = (state.output,\n                                           {in_sym: [target.state_id for target in trans] for in_sym, trans in\n                                            state.transitions.items()})\n\n        set_dict_entry(self.initial_state)\n        for state in self.states:\n            if state is self.initial_state:\n                continue\n            set_dict_entry(state)\n\n    @staticmethod\n    def from_state_setup(state_setup: dict, **kwargs) -> 'NDMooreMachine':\n        states_map = {key: NDMooreState(key, output=value[0]) for key, value in state_setup.items()}\n\n        for key, values in state_setup.items():\n            source = states_map[key]\n            for i, transitions in values[1].items():\n                for node in transitions:\n                    source.transitions[i].append(states_map[node])\n\n        initial_state = states_map[list(state_setup.keys())[0]]\n        return NDMooreMachine(initial_state, list(states_map.values()))\n\n    def __init__(self, initial_state: AutomatonState, states: list):\n        super().__init__(initial_state, states)\n\n    def step(self, letter):\n        \"\"\"\n        In Moore machines outputs depend on the current state.\n\n        Args:\n\n            letter: single input that is looked up in the transition function leading to a new state\n\n        Returns:\n\n            the output of the reached state\n\n        \"\"\"\n        options = self.current_state.transitions[letter]\n        self.current_state = random.choice(options)\n        return self.current_state.output\n"
  },
  {
    "path": "aalpy/automata/Onfsm.py",
    "content": "from collections import defaultdict\nfrom random import choice\nfrom typing import Generic, Tuple, Dict, List\n\nfrom aalpy.base import Automaton, AutomatonState\nfrom aalpy.base.Automaton import OutputType, InputType\n\n\nclass OnfsmState(AutomatonState, Generic[InputType, OutputType]):\n    \"\"\" \"\"\"\n    def __init__(self, state_id):\n        super().__init__(state_id)\n        # TODO this order is inconsistent with probabilistic models\n        # key/input maps to the list of tuples of possible output/new state [(output1, state1), (output2, state2)]\n        self.transitions : Dict[InputType, List[Tuple[OutputType, OnfsmState]]] = defaultdict(list)\n\n    def add_transition(self, inp, out, new_state) :\n        \"\"\"\n\n        Args:\n          inp: \n          out: \n          new_state: \n\n        Returns:\n\n        \"\"\"\n        self.transitions[inp].append((out, new_state))\n\n    def get_transition(self, input, output=None):\n        \"\"\"\n\n        Args:\n          input: \n          output:  (Default value = None)\n\n        Returns:\n\n        \"\"\"\n        possible_transitions = self.transitions[input]\n        if output:\n            return next((t for t in possible_transitions if t[0] == output), None)\n        else:\n            return possible_transitions\n\n\nclass Onfsm(Automaton[OnfsmState[InputType, OutputType]]):\n    \"\"\"\n    Observable non-deterministic finite state automaton.\n    \"\"\"\n    def __init__(self, initial_state: OnfsmState, states: list):\n        super().__init__(initial_state, states)\n\n    def step(self, letter):\n        \"\"\"Next step is determined based on a uniform distribution over all transitions with the input 'letter'.\n\n        Args:\n\n            letter: input\n\n        Returns:\n\n            output of the probabilistically chosen transition\n\n        \"\"\"\n        transition = choice(self.current_state.transitions[letter])\n        output = transition[0]\n        self.current_state = transition[1]\n        return output\n\n    def outputs_on_input(self, letter):\n        \"\"\"All possible observable outputs after executing the current input 'letter'.\n\n        Args:\n\n            letter: input\n\n        Returns:\n\n            list of observable outputs\n\n        \"\"\"\n        return [trans[0] for trans in self.current_state.transitions[letter]]\n\n    def step_to(self, inp, out):\n        \"\"\"Performs a step on the automaton based on the input `inp` and output `out`.\n\n        Args:\n\n            inp: input\n            out: output\n\n        Returns:\n\n            output of the reached state, None otherwise\n\n        \"\"\"\n        for new_state in self.current_state.transitions[inp]:\n            if new_state[0] == out:\n                self.current_state = new_state[1]\n                return out\n        return None\n\n    @staticmethod\n    def from_state_setup(state_setup : dict, **kwargs):\n        raise NotImplementedError() # TODO implement\n\n    def to_state_setup(self):\n        raise NotImplementedError # TODO implement"
  },
  {
    "path": "aalpy/automata/Sevpa.py",
    "content": "import random\nfrom collections import defaultdict, deque\nfrom typing import Union, List, Dict\n\nfrom aalpy.base import Automaton, AutomatonState\n\n\nclass SevpaAlphabet:\n    \"\"\"\n    The Alphabet of a 1-SEVPA.\n\n    Attributes:\n        internal_alphabet (List[str]): Letters for internal transitions.\n        call_alphabet (List[str]): Letters for push transitions.\n        return_alphabet (List[str]): Letters for pop transitions.\n        exclusive_call_return_pairs (Dict[str, str]): A dictionary representing exclusive pairs\n            of call and return symbols.\n    \"\"\"\n\n    def __init__(self, internal_alphabet: List[str], call_alphabet: List[str], return_alphabet: List[str],\n                 exclusive_call_return_pairs: Dict[str, str] = None):\n        self.internal_alphabet = internal_alphabet\n        self.call_alphabet = call_alphabet\n        self.return_alphabet = return_alphabet\n        self.exclusive_call_return_pairs = exclusive_call_return_pairs\n\n    def get_merged_alphabet(self) -> List[str]:\n        \"\"\"\n        Get the merged alphabet, including internal, call, and return symbols.\n\n        Returns:\n            List[str]: A list of all symbols in the alphabet.\n        \"\"\"\n        alphabet = list()\n        alphabet.extend(self.internal_alphabet)\n        alphabet.extend(self.call_alphabet)\n        alphabet.extend(self.return_alphabet)\n        return alphabet\n\n    def __str__(self) -> str:\n        \"\"\"\n        Returns:\n            str: A string representation of the alphabet.\n        \"\"\"\n        return f'Internal: {self.internal_alphabet} Call: {self.call_alphabet} Return: {self.return_alphabet}'\n\n\nclass SevpaState(AutomatonState):\n    \"\"\"\n    Single state of a 1-SEVPA.\n    \"\"\"\n\n    def __init__(self, state_id, is_accepting=False):\n        super().__init__(state_id)\n        # list of SevpaTransition\n        self.transitions = defaultdict(list)\n        self.is_accepting = is_accepting\n\n\nclass SevpaTransition:\n    \"\"\"\n    Represents a transition in a 1-SEVPA.\n\n    Attributes:\n        target (SevpaState): The target state of the transition.\n        letter: The symbol associated with the transition.\n        action: The action performed during the transition (pop | None).\n        stack_guard: Pair of (automaton_state_id, call_letter)\n    \"\"\"\n\n    def __init__(self, target: SevpaState, letter, action, stack_guard=None):\n        self.target_state = target\n        self.letter = letter\n        self.action = action\n        self.stack_guard = stack_guard\n\n    def __str__(self):\n        \"\"\"\n        Returns:\n            str: A string representation of the transition.\n        \"\"\"\n        return f'{self.letter} --> {self.target_state.state_id}' + \\\n               f' | {self.action}: {self.stack_guard}' if self.stack_guard else ''\n\n\nclass Sevpa(Automaton):\n    \"\"\"\n    1-Module Single Entry Visibly Pushdown Automaton.\n    \"\"\"\n    empty = \"_\"\n\n    def __init__(self, initial_state: SevpaState, states: List[SevpaState]):\n        super().__init__(initial_state, states)\n        self.initial_state = initial_state\n        self.states = states\n        self.input_alphabet = self.get_input_alphabet()\n        self.current_state = None\n        self.stack = []\n        self.error_state_reached = False\n\n        # alphabet sets for faster inclusion checks (as in SevpaAlphabet we have lists, for reproducibility)\n        self.internal_set = set(self.input_alphabet.internal_alphabet)\n        self.call_set = set(self.input_alphabet.call_alphabet)\n        self.return_set = set(self.input_alphabet.return_alphabet)\n\n    def reset_to_initial(self):\n        super().reset_to_initial()\n        self.current_state = self.initial_state\n        self.stack = [self.empty]\n        self.error_state_reached = False\n        return self.current_state.is_accepting and self.stack[-1] == self.empty\n\n    def step(self, letter):\n        \"\"\"\n        Perform a single step on the 1-SEVPA by transitioning with the given input letter.\n\n        Args:\n            letter: A single input that is looked up in the transition table of the SevpaState.\n\n        Returns:\n            bool: True if the reached state is an accepting state and the stack is empty, False otherwise.\n        \"\"\"\n        if self.error_state_reached:\n            return False\n\n        if letter is None:\n            return self.current_state.is_accepting and self.stack[-1] == self.empty\n\n        if letter in self.call_set:\n            self.stack.append((self.current_state.state_id, letter))\n            self.current_state = self.initial_state\n            return self.current_state.is_accepting and self.stack[-1] == self.empty\n\n        # get possible transitions\n        transitions = self.current_state.transitions[letter]\n        taken_transition = None\n        for t in transitions:\n            if t.letter in self.return_set:\n                if t.stack_guard == self.stack[-1]:\n                    taken_transition = t\n                    break\n            elif t.letter in self.internal_set:\n                taken_transition = t\n                break\n            else:\n                assert False\n\n        # No transition is possible\n        if not taken_transition:\n            self.error_state_reached = True\n            return False\n\n        self.current_state = taken_transition.target_state\n\n        if taken_transition.action == 'pop':\n            # empty stack elem should always be on the stack\n            if len(self.stack) <= 1:\n                self.error_state_reached = True\n                return False\n            self.stack.pop()\n\n        return self.current_state.is_accepting and self.stack[-1] == self.empty\n\n    def get_state_by_id(self, state_id) -> Union[SevpaState, None]:\n        for state in self.states:\n            if state.state_id == state_id:\n                return state\n        return None\n\n    def is_input_complete(self) -> bool:\n        pass\n\n    def execute_sequence(self, origin_state, seq):\n        if origin_state.prefix != self.initial_state.prefix:\n            assert False, 'execute_sequence for Sevpa only is only supported from the initial state.'\n        self.reset_to_initial()\n        self.current_state = origin_state\n        return [self.step(s) for s in seq]\n\n    def to_state_setup(self):\n        state_setup_dict = {}\n\n        sorted_states = sorted(self.states, key=lambda x: x.state_id)\n        for state in sorted_states:\n            transitions_for_symbol = {}\n            for symbol, transition_list in state.transitions.items():\n                trans_list_for_setup = []\n                for transition in transition_list:\n                    trans_list_for_setup.append(\n                        (transition.target_state.state_id, transition.action, transition.stack_guard))\n                if trans_list_for_setup:\n                    transitions_for_symbol[symbol] = trans_list_for_setup\n            state_setup_dict[state.state_id] = (state.is_accepting, transitions_for_symbol)\n\n        return state_setup_dict\n\n    @staticmethod\n    def from_state_setup(state_setup: dict, **kwargs):\n\n        init_state_id = kwargs['init_state_id']\n\n        # build states with state_id and output\n        states = {key: SevpaState(key, val[0]) for key, val in state_setup.items()}\n        # states[Sevpa.error_state.state_id] = Sevpa.error_state  # PdaState(Pda.error_state,False)\n\n        # add transitions to states\n        for state_id, state in states.items():\n            for _input, trans_spec in state_setup[state_id][1].items():\n                for (target_state_id, action, stack_guard) in trans_spec:\n                    if action == 'pop':\n                        stack_guard = (stack_guard[0], stack_guard[1])\n                        trans = SevpaTransition(target=states[target_state_id], letter=_input,\n                                                action=action, stack_guard=stack_guard)\n                    elif action is None:\n                        trans = SevpaTransition(target=states[target_state_id], letter=_input,\n                                                action=None, stack_guard=None)\n                    else:\n                        assert False, 'Action must either be \"pop\" or None, note that there are no push actions ' \\\n                                      'definitions in SEVPA'\n\n                    state.transitions[_input].append(trans)\n\n        init_state = states[init_state_id]\n        return Sevpa(init_state, [state for state in states.values()])\n\n    def transform_access_string(self, state=None, stack_content=None) -> List[str]:\n        \"\"\"\n        Transform the access string by omitting redundant call and return letters, as well as internal letters.\n\n        This function creates the following word:\n            For every element in the stack (except the first element '_'):\n                - Append the state prefix from where the stack element was pushed\n                - Append the call letter\n            Append the state prefix from the state where you are calling this function from.\n\n        Args:\n            state: The state from which the transformation is initiated (default: initial state).\n            stack_content: The content of the stack for transformation (default: Current Stack content).\n\n        Returns:\n            List[str]: The transformed access string.\n        \"\"\"\n        word = []\n        calling_state = self.initial_state if not state else state\n        stack = self.stack if not stack_content else stack_content\n\n        for index, stack_elem in enumerate(stack):\n            # Skip the first element because it's the start of the stack '_'\n            if index == 0:\n                continue\n            from_state_id = stack_elem[0]  # The corresponding state where the stack element was pushed from\n            call_letter = stack_elem[1]  # The call letter that was pushed on the stack\n            from_state = self.get_state_by_id(from_state_id)\n            if from_state.prefix != ():\n                word.extend(from_state.prefix)\n            word.append(call_letter)\n        word.extend(calling_state.prefix)\n        return word\n\n    @staticmethod\n    def create_daisy_hypothesis(initial_state, alphabet):\n        \"\"\"\n        Create a Daisy Hypothesis 1-SEVPA using the given initial state and alphabet.\n\n        This function creates self-loop transitions for the internal state on every internal letter.\n        Additionally, it creates self-loop transitions with a pop action for every call letter.\n\n        Args:\n            initial_state (SevpaState): The initial state of the 1-SEVPA.\n            alphabet (SevpaAlphabet): The alphabet for the 1-SEVPA.\n\n        Returns:\n            Sevpa: The created 1-SEVPA with the specified initial state and alphabet.\n        \"\"\"\n        for i in alphabet.internal_alphabet:\n            trans = SevpaTransition(target=initial_state, letter=i, action=None)\n            initial_state.transitions[i].append(trans)\n\n        for c in alphabet.call_alphabet:\n            for r in alphabet.return_alphabet:\n                trans = SevpaTransition(target=initial_state, letter=r, action='pop',\n                                        stack_guard=(initial_state.state_id, c))\n                initial_state.transitions[r].append(trans)\n\n        return Sevpa(initial_state, [initial_state])\n\n    def get_input_alphabet(self):\n\n        int_alphabet, ret_alphabet, call_alphabet = [], [], []\n        for state in self.states:\n            for transition_list in state.transitions.values():\n                for transition in transition_list:\n                    if transition.action == 'pop':\n                        if transition.letter not in ret_alphabet:\n                            ret_alphabet.append(transition.letter)\n                        if transition.stack_guard[1] not in call_alphabet:\n                            call_alphabet.append(transition.stack_guard[1])\n                    else:\n                        if transition.letter not in int_alphabet:\n                            int_alphabet.append(transition.letter)\n\n        return SevpaAlphabet(int_alphabet, call_alphabet, ret_alphabet)\n\n    def get_error_state(self):\n        \"\"\"\n        A state is an error state iff:\n            - if all transitions self loop to itself\n            - if the pop transitions from the corresponding stack symbol lead to the same state\n            - for example:\n                - all q2 transitions lead to q2\n                - the pop transitions from the initial state which pop the q2+call-symbol from the stack lead to q2 as well\n\n            - Not an error state if it is the initial state or an accepting state\n        \"\"\"\n\n        for state in self.states:\n\n            is_error_state = True\n            if state.is_accepting or state == self.initial_state:\n                continue\n\n            state_target = None\n            # check internal and return transitions\n            ret_int_al = []\n            ret_int_al.extend(self.input_alphabet.internal_alphabet)\n            ret_int_al.extend(self.input_alphabet.return_alphabet)\n            for letter in ret_int_al:\n                for transition in state.transitions[letter]:\n                    if state_target is None:\n                        state_target = transition.target_state\n                    else:\n                        if state_target != transition.target_state:\n                            is_error_state = False\n                            break\n                if not is_error_state:\n                    break\n\n            # check return transitions from the initial state\n            if is_error_state:\n                for return_letter in self.input_alphabet.return_alphabet:\n                    for transition in self.initial_state.transitions[return_letter]:\n                        if transition.stack_guard[0] == state_target.state_id:\n                            if transition.target_state != state_target:\n                                is_error_state = False\n                                break\n                    if not is_error_state:\n                        break\n            else:\n                continue\n\n            if is_error_state:\n                return state\n\n        return None\n\n    def delete_state(self, state_to_remove):\n\n        if state_to_remove is not None:\n            self.states.remove(state_to_remove)\n        else:\n            return\n\n        for state in self.states:\n            ret_int_al = []\n            ret_int_al.extend(self.input_alphabet.internal_alphabet)\n            ret_int_al.extend(self.input_alphabet.return_alphabet)\n            for letter in ret_int_al:\n                cleaned_transitions = []\n                for transition in state.transitions[letter]:\n                    if transition.stack_guard is not None:\n                        if transition.stack_guard[0] == state_to_remove.state_id:\n                            continue\n                    if transition.target_state.state_id == state_to_remove.state_id:\n                        continue\n\n                    cleaned_transitions.append(transition)\n                del state.transitions[letter]\n                state.transitions[letter] = cleaned_transitions\n\n    def get_allowed_call_transitions(self):\n        \"\"\"\n        Returns a dict of states that are allowed to push a call letters on the stack.\n\n        For all states that are connected via internal transitions from the initial state on, the state_id and\n        call_letter of the stack_guard from every return transition is used.\n\n        States are not allowed to push something somthing on the stack if there is no possibility to pop the\n        stack guard, where their state_id is used, from the stack, which would lead into a dead-end otherwise.\n\n        Returns:\n        - dict: A dictionary where keys are the call_letters and values are sets of the allowed states.\n        \"\"\"\n\n        # get all states that are connected via internal transitions by using BFS\n        connected_states = set()\n        queue = deque([self.initial_state])\n        while queue:\n            current_state = queue.popleft()\n            connected_states.add(current_state)\n\n            for internal_letter in self.input_alphabet.internal_alphabet:\n                for internal_trans in current_state.transitions[internal_letter]:\n                    target_state = internal_trans.target_state\n                    if target_state not in connected_states:\n                        queue.append(target_state)\n\n        allowed_call_transitions = defaultdict(set)\n        for state in connected_states:\n            for return_letter in self.input_alphabet.return_alphabet:\n                for trans in state.transitions[return_letter]:\n                    allowed_call_transitions[trans.stack_guard[1]].add(trans.stack_guard[0])\n\n        return allowed_call_transitions\n\n    def get_accepting_words_bfs(self, min_word_length: int = 0, num_words: int = 1) -> list:\n        \"\"\"\n        Generate a list of random words that are accepted by the automaton using the breadth-first search approach.\n\n        Args:\n        - min_word_length (int): Minimum length of the generated words.\n        - amount_words (int): Number of words to generate.\n\n        Returns:\n        - set: A set of randomly generated words that are accepted by the automaton.\n        \"\"\"\n        allowed_call_trans = self.get_allowed_call_transitions()\n        self.reset_to_initial()\n        queue = deque()\n        shuffled_alphabet = self.input_alphabet.get_merged_alphabet()\n        random.shuffle(shuffled_alphabet)\n        for letter in shuffled_alphabet:\n            queue.append([letter])\n\n        found_words = set()\n        while queue:\n            word = queue.popleft()\n            self.reset_to_initial()\n            self.execute_sequence(self.initial_state, word)\n            # skipping words that lead into the error state will also shorten growth of the queue\n            if self.error_state_reached:\n                continue\n            if self.current_state.is_accepting and self.stack[-1] == self.empty and len(word) >= min_word_length:\n                found_words.add(tuple(word))\n            if len(found_words) >= num_words:\n                found_words = list(found_words)\n                found_words.sort(key=len)\n                return found_words\n            shuffled_alphabet = self.input_alphabet.get_merged_alphabet()\n            for letter in shuffled_alphabet:\n                if letter in allowed_call_trans:\n                    # skip words where it's not possible to pop the stack_guard\n                    if self.current_state.state_id not in allowed_call_trans[letter]:\n                        continue\n                new_word = word + [letter]\n                queue.append(new_word)\n\n    def get_random_accepting_word(self, return_letter_prob: float = 0.5, min_len: int = 2) -> list:\n        \"\"\"\n        Generate a random word that is accepted by the automaton.\n\n        Only internal letters and return letters will be chosen. If a return letter is randomly chosen a random\n        stack guard will be selected. Then the stack needed stack configuration will be searched by using BFS\n\n        Args:\n        - return_letter_prob (float): Probability for selecting a letter from the return alphabet.\n        - min_len (int): Minimum length of the generated word.\n\n        Returns:\n        - list: A randomly generated word that gets accepted by the automaton.\n        \"\"\"\n        assert return_letter_prob <= 1.0\n        word = []\n\n        internal_letter_prob = 0.0\n        if len(self.input_alphabet.internal_alphabet) != 0:\n            internal_letter_prob = 1.0 - return_letter_prob\n        else:\n            return_letter_prob = 1.0\n\n        assert (return_letter_prob + internal_letter_prob) == 1.0\n\n        return_letter_boarder = return_letter_prob\n        internal_letter_boarder = return_letter_boarder + internal_letter_prob\n\n        allowed_call_trans = self.get_allowed_call_transitions()\n\n        self.reset_to_initial()\n\n        while True:\n            letter_type = random.uniform(0.0, 1.0)\n            is_return_letter = False\n            if letter_type <= return_letter_boarder:\n                possible_letters = self.input_alphabet.return_alphabet\n                is_return_letter = True\n            elif return_letter_boarder < letter_type <= internal_letter_boarder:\n                possible_letters = self.input_alphabet.internal_alphabet\n            else:\n                assert False\n\n            assert len(possible_letters) > 0\n\n            random_trans_letter_index = random.randint(0, len(possible_letters) - 1)\n            letter_for_word = possible_letters[random_trans_letter_index]\n\n            # find the sub-word for the needed stack guard beginning from the initial state\n            # the new word will be: letter_prefix + word + letter\n            if is_return_letter:\n                # randomly select one of the return transitions with the respective return symbol\n                if len(self.current_state.transitions[letter_for_word]) == 0:\n                    continue\n                elif len(self.current_state.transitions[letter_for_word]) == 1:\n                    random_stack_guard = self.current_state.transitions[letter_for_word][0].stack_guard\n                else:\n                    random_stack_guard_index = random.randint(0,\n                                                              len(self.current_state.transitions[letter_for_word]) - 1)\n                    random_stack_guard = self.current_state.transitions[letter_for_word][\n                        random_stack_guard_index].stack_guard\n\n                # start from the initial state\n                self.reset_to_initial()\n\n                letter_prefix = []\n                needed_stack = self.stack.copy()\n                needed_stack.append(random_stack_guard)\n                queue = deque()\n                for letter in self.input_alphabet.get_merged_alphabet():\n                    queue.append([letter])\n\n                while queue:\n                    letter_prefix = queue.popleft()\n                    self.reset_to_initial()\n                    self.execute_sequence(self.initial_state, letter_prefix)\n                    if self.error_state_reached:\n                        continue\n                    if self.stack == needed_stack:\n                        break\n\n                    for letter in self.input_alphabet.get_merged_alphabet():\n                        if letter in allowed_call_trans:\n                            # skip words where it's not possible to pop the stack_guard\n                            if self.current_state.state_id not in allowed_call_trans[letter]:\n                                continue\n                        new_word = letter_prefix + [letter]\n                        queue.append(new_word)\n\n                for letter in word:\n                    self.step(letter)\n                self.step(letter_for_word)\n                if not self.error_state_reached:\n                    word = letter_prefix + word\n                    word.append(letter_for_word)\n                else:\n                    self.execute_sequence(self.initial_state, word)\n\n            else:\n                self.step(letter_for_word)\n                if not self.error_state_reached:\n                    word.append(letter_for_word)\n                else:\n                    self.execute_sequence(self.initial_state, word)\n\n            if self.current_state.is_accepting and self.stack[-1] == self.empty and len(word) >= min_len \\\n                    and random.random() < 0.2:\n                break\n\n        self.reset_to_initial()\n        return word\n"
  },
  {
    "path": "aalpy/automata/StochasticMealyMachine.py",
    "content": "import random\nfrom collections import defaultdict\nfrom typing import Generic, Tuple, List, Dict\n\nfrom aalpy.automata import MdpState, Mdp\nfrom aalpy.base import Automaton, AutomatonState\nfrom aalpy.base.Automaton import OutputType, InputType\n\n\nclass StochasticMealyState(AutomatonState, Generic[InputType, OutputType]):\n\n    def __init__(self, state_id):\n        super().__init__(state_id)\n        # Each transition is a tuple (newNode, output, probability)\n        self.transitions: Dict[InputType, List[Tuple[StochasticMealyState, OutputType, float]]] = defaultdict(list)\n\n\nclass StochasticMealyMachine(Automaton[StochasticMealyState[InputType, OutputType]]):\n\n    def __init__(self, initial_state: StochasticMealyState, states: list):\n        super().__init__(initial_state, states)\n\n    def reset_to_initial(self):\n        self.current_state = self.initial_state\n\n    def step(self, letter):\n        \"\"\"\n        Next step is determined based on transition probabilities of the current state.\n\n        Args:\n\n           letter: input\n\n        Returns:\n\n           output of the current state\n        \"\"\"\n        prob = random.random()\n        probability_distributions = [i[2] for i in self.current_state.transitions[letter]]\n        index = 0\n        for i, p in enumerate(probability_distributions):\n            prob -= p\n            if prob <= 0:\n                index = i\n                break\n\n        transition = self.current_state.transitions[letter][index]\n        self.current_state = transition[0]\n        return transition[1]\n\n    def step_to(self, inp, out):\n        \"\"\"Performs a step on the automaton based on the input `inp` and output `out`.\n\n        Args:\n\n            inp: input\n            out: output\n\n        Returns:\n\n            output of the reached state, None otherwise\n\n        \"\"\"\n        for (new_state, output, prob) in self.current_state.transitions[inp]:\n            if output == out:\n                self.current_state = new_state\n                return out\n        return None\n\n    def to_mdp(self):\n        return smm_to_mdp_conversion(self)\n\n    def to_state_setup(self):\n        state_setup_dict = {}\n\n        # ensure initial state is first in the list\n        if self.states[0] != self.initial_state:\n            self.states.remove(self.initial_state)\n            self.states.insert(0, self.initial_state)\n\n        for s in self.states:\n            state_setup_dict[s.state_id] = {k: [(node.state_id, output, prob) for node, output, prob in v]\n                                            for k, v in s.transitions.items()}\n\n        return state_setup_dict\n\n    @staticmethod\n    def from_state_setup(state_setup : dict, **kwargs):\n        states_map = {key: StochasticMealyState(key) for key in state_setup.keys()}\n\n        for key, values in state_setup.items():\n            source = states_map[key]\n            for i, transitions in values.items():\n                for node, output, prob in transitions:\n                    source.transitions[i].append((states_map[node], output, prob))\n\n        initial_state = states_map[list(state_setup.keys())[0]]\n        return StochasticMealyMachine(initial_state, list(states_map.values()))\n\n\ndef smm_to_mdp_conversion(smm: StochasticMealyMachine):\n    \"\"\"\n    Convert SMM to MDP.\n\n    Args:\n      smm: StochasticMealyMachine: SMM to convert\n\n    Returns:\n\n        equivalent MDP\n\n    \"\"\"\n    inputs = smm.get_input_alphabet()\n    mdp_states = []\n    smm_state_to_mdp_state = dict()\n    init_state = MdpState(\"0\", \"___start___\")\n    mdp_states.append(init_state)\n    for s in smm.states:\n        incoming_edges = defaultdict(list)\n        incoming_outputs = set()\n        for pre_s in smm.states:\n            for i in inputs:\n                incoming_edges[i] += filter(lambda t: t[0] == s, pre_s.transitions[i])\n                incoming_outputs.update(map(lambda t: t[1], incoming_edges[i]))\n        state_id = 0\n        for o in incoming_outputs:\n            new_state_id = s.state_id + str(state_id)\n            state_id += 1\n            new_state = MdpState(new_state_id, o)\n            mdp_states.append(new_state)\n            smm_state_to_mdp_state[(s.state_id, o)] = new_state\n\n    for s in smm.states:\n        mdp_states_for_s = {mdp_state for (s_id, o), mdp_state in smm_state_to_mdp_state.items() if s_id == s.state_id}\n        for i in inputs:\n            for outgoing_t in s.transitions[i]:\n                target_smm_state = outgoing_t[0]\n                output = outgoing_t[1]\n                prob = outgoing_t[2]\n                target_mdp_state = smm_state_to_mdp_state[(target_smm_state.state_id, output)]\n                for mdp_state in mdp_states_for_s:\n                    mdp_state.transitions[i].append((target_mdp_state, prob))\n                if s == smm.initial_state:\n                    init_state.transitions[i].append((target_mdp_state, prob))\n    return Mdp(init_state, mdp_states)\n"
  },
  {
    "path": "aalpy/automata/Vpa.py",
    "content": "import random\nfrom collections import defaultdict\nfrom typing import List, Dict\n\nfrom aalpy.base import Automaton, AutomatonState\n\n\nclass VpaAlphabet:\n    \"\"\"\n    The Alphabet of a VPA.\n\n    Attributes:\n        internal_alphabet (List[str]): Letters for internal transitions.\n        call_alphabet (List[str]): Letters for push transitions.\n        return_alphabet (List[str]): Letters for pop transitions.\n        exclusive_call_return_pairs (Dict[str, str]): A dictionary representing exclusive pairs\n            of call and return symbols.\n    \"\"\"\n\n    def __init__(self, internal_alphabet: List[str], call_alphabet: List[str], return_alphabet: List[str],\n                 exclusive_call_return_pairs: Dict[str, str] = None):\n        self.internal_alphabet = internal_alphabet\n        self.call_alphabet = call_alphabet\n        self.return_alphabet = return_alphabet\n        self.exclusive_call_return_pairs = exclusive_call_return_pairs\n\n    def get_merged_alphabet(self) -> List[str]:\n        \"\"\"\n        Get the merged alphabet, including internal, call, and return symbols.\n\n        Returns:\n            List[str]: A list of all symbols in the alphabet.\n        \"\"\"\n        alphabet = list()\n        alphabet.extend(self.internal_alphabet)\n        alphabet.extend(self.call_alphabet)\n        alphabet.extend(self.return_alphabet)\n        return alphabet\n\n    def __str__(self) -> str:\n        \"\"\"\n        Returns:\n            str: A string representation of the alphabet.\n        \"\"\"\n        return f'Internal: {self.internal_alphabet} Call: {self.call_alphabet} Return: {self.return_alphabet}'\n\n\nclass VpaState(AutomatonState):\n    \"\"\"\n    Single state of a VPA.\n    \"\"\"\n\n    def __init__(self, state_id, is_accepting=False):\n        super().__init__(state_id)\n        self.transitions = defaultdict(list)\n        self.is_accepting = is_accepting\n\n\nclass VpaTransition:\n    \"\"\"\n    Represents a transition in a VPA.\n\n    Attributes:\n        start (VpaState): The starting state of the transition.\n        target (VpaState): The target state of the transition.\n        symbol: The symbol associated with the transition.\n        action: The action performed during the transition (push | pop | None).\n        stack_guard: The stack symbol to be pushed/popped.\n    \"\"\"\n\n    def __init__(self, start: VpaState, target: VpaState, symbol, action, stack_guard=None):\n        self.start = start\n        self.target_state = target\n        self.letter = symbol\n        self.action = action\n        self.stack_guard = stack_guard\n\n    def __str__(self):\n        return f\"{self.letter}: {self.start.state_id} --> {self.target_state.state_id} | {self.action}: {self.stack_guard}\"\n\n\nclass Vpa(Automaton):\n    \"\"\"\n    Visibly Pushdown Automaton.\n    \"\"\"\n    error_state = VpaState(\"ErrorSinkState\", False)\n\n    def __init__(self, initial_state: VpaState, states):\n        super().__init__(initial_state, states)\n        self.initial_state = initial_state\n        self.states = states\n        self.input_alphabet = self.get_input_alphabet()\n        self.current_state = None\n        self.stack = []\n\n        # alphabet sets for faster inclusion checks (as in VpaAlphabet we have lists, for reproducibility)\n        self.internal_set = set(self.input_alphabet.internal_alphabet)\n        self.call_set = set(self.input_alphabet.call_alphabet)\n        self.return_set = set(self.input_alphabet.return_alphabet)\n\n    def reset_to_initial(self):\n        self.current_state = self.initial_state\n        self.stack = []\n\n    def top(self):\n        return self.stack[-1] if self.stack else []\n\n    def step(self, letter):\n        \"\"\"\n        Perform a single step on the VPA by transitioning with the given input letter.\n\n        Args:\n            letter: A single input that is looked up in the transition table of the VpaState.\n\n        Returns:\n            bool: True if the reached state is an accepting state and the stack is empty, False otherwise.\n        \"\"\"\n        if self.current_state == Vpa.error_state:\n            return False\n\n        if letter is None:\n            return self.current_state.is_accepting and self.stack == []\n\n        transitions = self.current_state.transitions[letter]\n\n        taken_transition = None\n\n        for t in transitions:\n            if t.action == 'push' or t.action is None:\n                taken_transition = t\n                break\n            else:\n                if t.stack_guard == self.top():\n                    taken_transition = t\n                    break\n\n        if taken_transition is None:\n            self.current_state = Vpa.error_state\n            return False\n\n        self.current_state = taken_transition.target_state\n        if taken_transition.action == 'push':\n            self.stack.append(taken_transition.stack_guard)\n        elif taken_transition.action == 'pop':\n            # empty stack elem should always be there\n            if not self.stack:\n                self.current_state = Vpa.error_state\n                return False\n            self.stack.pop()\n\n        return self.current_state.is_accepting and self.stack == []\n\n    def to_state_setup(self):\n        state_setup_dict = {}\n\n        # ensure prefixes are computed\n        # self.compute_prefixes()\n\n        sorted_states = sorted(self.states, key=lambda x: len(x.prefix) if x.prefix is not None else len(self.states))\n        for s in sorted_states:\n            state_setup_dict[s.state_id] = (\n                s.is_accepting, {k: (v.target_state.state_id, v.action) for k, v in s.transitions.items()})\n\n        return state_setup_dict\n\n    def get_input_alphabet(self) -> VpaAlphabet:\n        int_alphabet, ret_alphabet, call_alphabet = [], [], []\n        for state in self.states:\n            for transition_list in state.transitions.values():\n                for transition in transition_list:\n                    if transition.action == 'pop':\n                        if transition.letter not in ret_alphabet:\n                            ret_alphabet.append(transition.letter)\n                    elif transition.action == 'push':\n                        if transition.letter not in call_alphabet:\n                            call_alphabet.append(transition.letter)\n                    elif transition.letter not in int_alphabet:\n                        int_alphabet.append(transition.letter)\n\n        return VpaAlphabet(int_alphabet, call_alphabet, ret_alphabet)\n\n    def is_input_complete(self) -> bool:\n        \"\"\"\n        Check whether all states have defined transition for all inputs\n        :return: true if automaton is input complete\n\n        Returns:\n\n            True if input complete, False otherwise\n\n        \"\"\"\n        alphabet = set(self.get_input_alphabet().get_merged_alphabet())\n        for state in self.states:\n            if set(state.transitions.keys()) != alphabet:\n                return False\n        return True\n\n    @staticmethod\n    def from_state_setup(state_setup: dict, **kwargs):\n        \"\"\"\n        Create a VPA from a state setup.\n\n        Example state setup:\n            state_setup = {\n                \"q0\": (False, {\"(\": [(\"q1\", 'push', \"(\")],\n                               \"[\": [(\"q1\", 'push', \"[\")],  # exclude empty seq\n                               }),\n                \"q1\": (False, {\"(\": [(\"q1\", 'push', \"(\")],\n                               \"[\": [(\"q1\", 'push', \"[\")],\n                               \")\": [(\"q2\", 'pop', \"(\")],\n                               \"]\": [(\"q2\", 'pop', \"[\")]}),\n                \"q2\": (True, {\n                    \")\": [(\"q2\", 'pop', \"(\")],\n                    \"]\": [(\"q2\", 'pop', \"[\")]\n                }),\n\n            Args:\n                state_setup (dict): A dictionary mapping from state IDs to tuples containing\n                    (is_accepting: bool, transitions_dict: dict), where transitions_dict maps input symbols to\n                    lists of tuples (target_state_id, action, stack_guard).\n                init_state_id (str): The state ID for the initial state of the VPA.\n                input_alphabet (VpaAlphabet): The alphabet for the VPA.\n\n            Returns:\n                Vpa: The constructed Variable Pushdown Automaton.\n            \"\"\"\n        # state_setup should map from state_id to tuple(is_accepting and transitions_dict)\n\n        init_state_id = kwargs['init_state_id']\n\n        # build states with state_id and output\n        states = {key: VpaState(key, val[0]) for key, val in state_setup.items()}\n        states[Vpa.error_state.state_id] = Vpa.error_state  # PdaState(Pda.error_state,False)\n        # add transitions to states\n        for state_id, state in states.items():\n            if state_id == Vpa.error_state.state_id:\n                continue\n            for _input, trans_spec in state_setup[state_id][1].items():\n                for (target_state_id, action, stack_guard) in trans_spec:\n                    trans = VpaTransition(start=state, target=states[target_state_id], symbol=_input, action=action,\n                                          stack_guard=stack_guard)\n                    state.transitions[_input].append(trans)\n\n        init_state = states[init_state_id]\n        # states to list\n        states = [state for state in states.values()]\n\n        vpa = Vpa(init_state, states)\n        return vpa\n\n    def is_balanced(self, seq):\n        from aalpy.utils import is_balanced\n        return is_balanced(seq, self.input_alphabet)\n\n    def generate_random_accepting_word(self, min_steps=4, max_steps=20):\n        \"\"\"\n        Generate a random valid sequence for a given VPDA.\n\n        Args:\n\n            min_steps : Minimum number of steps\n            max_steps : Maximum number of steps before the process terminates\n\n        Returns:\n            list: A list of input symbols (the generated sequence) leading to an accepting state.\n        \"\"\"\n\n        sequence = []\n        self.reset_to_initial()\n\n        for step_count in range(max_steps):\n            current_state = self.current_state\n\n            # If we have met the min_steps requirement and are in an accepting state with an empty stack, stop\n            if step_count >= min_steps and current_state.is_accepting and not self.stack:\n                return sequence\n\n            # Get all possible transitions from the current state\n            possible_transitions = []\n            for letter, transitions in current_state.transitions.items():\n                for t in transitions:\n                    if t.action == 'pop' and self.stack and t.stack_guard == self.top():\n                        possible_transitions.append(t)\n                    elif t.action == 'push' or t.action is None:\n                        possible_transitions.append(t)\n\n            # If no valid transitions exist, return an incomplete sequence or error\n            if not possible_transitions:\n                break\n\n            # Randomly choose a valid transition\n            chosen_transition = random.choice(possible_transitions)\n\n            # Perform the transition\n            self.step(chosen_transition.letter)\n\n            # Add the chosen letter to the sequence\n            sequence.append(chosen_transition.letter)\n\n        # None indicates that a sequance was not successfully generated\n        return None\n\n\ndef vpa_from_dfa_representation(dfa_repr, vpa_alphabet):\n    vpa_states = dict()\n    for dfa_state in dfa_repr.states:\n        vpa_state = VpaState(state_id=dfa_state.state_id, is_accepting=dfa_state.is_accepting)\n        vpa_states[dfa_state.state_id] = vpa_state\n\n    for dfa_state in dfa_repr.states:\n\n        for input_symbol, reached_dfa_state in dfa_state.transitions.items():\n            origin_state = vpa_states[dfa_state.state_id]\n            reached_state = vpa_states[reached_dfa_state.state_id]\n\n            top_of_stack = None\n            if isinstance(input_symbol, tuple):\n                input_symbol, top_of_stack = input_symbol[0], input_symbol[1]\n\n            if input_symbol in vpa_alphabet.return_alphabet:\n                transition = VpaTransition(origin_state, reached_state, input_symbol, 'pop', top_of_stack)\n            else:\n                action = 'push' if input_symbol in vpa_alphabet.call_alphabet else None\n                stack_guard = input_symbol if action == 'push' else None\n                transition = VpaTransition(origin_state, reached_state, input_symbol,\n                                           action, stack_guard)\n\n            origin_state.transitions[input_symbol].append(transition)\n\n    initial_state = vpa_states[dfa_repr.initial_state.state_id]\n    learned_model = Vpa(initial_state, list(vpa_states.values()))\n\n    return learned_model\n"
  },
  {
    "path": "aalpy/automata/__init__.py",
    "content": "from .Dfa import Dfa, DfaState\nfrom .Mdp import Mdp, MdpState\nfrom .MealyMachine import MealyMachine, MealyState\nfrom .MooreMachine import MooreMachine, MooreState\nfrom .Onfsm import Onfsm, OnfsmState\nfrom .StochasticMealyMachine import StochasticMealyMachine, StochasticMealyState\nfrom .MarkovChain import MarkovChain, McState\nfrom .NonDeterministicMooreMachine import NDMooreMachine, NDMooreState\nfrom .Sevpa import Sevpa, SevpaState, SevpaAlphabet, SevpaTransition\nfrom .Vpa import Vpa, VpaAlphabet, VpaState, VpaTransition\n"
  },
  {
    "path": "aalpy/base/Automaton.py",
    "content": "import copy\nimport warnings\nfrom abc import ABC, abstractmethod\nfrom collections import defaultdict\nfrom typing import Union, TypeVar, Generic, List\n\n\nclass AutomatonState(ABC):\n\n    def __init__(self, state_id):\n        \"\"\"\n        Single state of an automaton. Each state consists of a state id, a dictionary of transitions, where the keys are\n        inputs and the values are the corresponding target states, and a prefix that leads to the state from the initial\n        state.\n\n        Args:\n\n            state_id(Any): used for graphical representation of the state. A good practice is to keep it unique.\n\n        \"\"\"\n        self.state_id = state_id\n        self.transitions = None\n        self.prefix = None\n\n    def get_diff_state_transitions(self) -> list:\n        \"\"\"\n        Returns a list of transitions that lead to new states, not same-state transitions.\n        \"\"\"\n        transitions = []\n        for trans, state in self.transitions.items():\n            if state != self:\n                transitions.append(trans)\n        return transitions\n\n    def get_same_state_transitions(self) -> list:\n        \"\"\"\n        Get all transitions that lead to the same state (self loops).\n        \"\"\"\n        dst = self.get_diff_state_transitions()\n        all_trans = set(self.transitions.keys())\n        return [t for t in all_trans if t not in dst]\n\n\nAutomatonStateType = TypeVar(\"AutomatonStateType\", bound=AutomatonState)\n\nOutputType = TypeVar(\"OutputType\")\nInputType = TypeVar(\"InputType\")\n\n\nclass Automaton(ABC, Generic[AutomatonStateType]):\n    \"\"\"\n    Abstract class representing an automaton.\n    \"\"\"\n\n    def __init__(self, initial_state: AutomatonStateType, states: List[AutomatonStateType]):\n        \"\"\"\n        Args:\n\n            initial_state (AutomatonState): initial state of the automaton\n            states (list) : list containing all states of the automaton\n\n        \"\"\"\n        self.initial_state: AutomatonStateType = initial_state\n        self.states: List[AutomatonStateType] = states\n        self.characterization_set: list = []\n        self.current_state: AutomatonStateType = initial_state\n\n    @property\n    def size(self):\n        return len(self.states)\n\n    def reset_to_initial(self):\n        \"\"\"\n        Resets the current state of the automaton to the initial state\n        \"\"\"\n        self.current_state = self.initial_state\n\n    @abstractmethod\n    def step(self, letter):\n        \"\"\"\n        Performs a single step on the automaton changing its current state.\n\n        Args:\n\n            letter: element of the input alphabet to be executed on the system under learning\n\n        Returns:\n\n            Output produced when executing the input letter from the current state\n\n        \"\"\"\n        pass\n\n    def is_input_complete(self) -> bool:\n        \"\"\"\n        Check whether all states have defined transition for all inputs\n        :return: true if automaton is input complete\n\n        Returns:\n\n            True if input complete, False otherwise\n\n        \"\"\"\n        alphabet = set(self.get_input_alphabet())\n        for state in self.states:\n            if set(state.transitions.keys()) != alphabet:\n                return False\n        return True\n\n    # returns a list which is input alphabet, or a sevpa alphabet in case of VPAs\n    def get_input_alphabet(self):\n        \"\"\"\n        Returns the input alphabet\n        \"\"\"\n        alphabet = list()\n        for s in self.states:\n            for i in s.transitions.keys():\n                if i not in alphabet:\n                    alphabet.append(i)\n        return list(alphabet)\n\n    def get_state_by_id(self, state_id) -> Union[AutomatonStateType, None]:\n        for state in self.states:\n            if state.state_id == state_id:\n                return state\n\n        return None\n\n    def __str__(self):\n        \"\"\"\n        :return: A string representation of the automaton\n        \"\"\"\n        from aalpy.utils import save_automaton_to_file\n        return save_automaton_to_file(self, path='learnedModel', file_type='string', round_floats=2)\n\n    def make_input_complete(self, missing_transition_go_to='self_loop'):\n        \"\"\"\n        For more details check the implementation of this method in utils.HelperFunctions\n\n        missing_transition_go_to: either 'self_loop' or 'sink_state'.\n        \"\"\"\n        from aalpy.utils.HelperFunctions import make_input_complete\n        make_input_complete(self, missing_transition_go_to)\n\n    def execute_sequence(self, origin_state, seq):\n        \"\"\"\n        Note that execute sequance changes the state!\n        \"\"\"\n        self.current_state = origin_state\n        return [self.step(s) for s in seq]\n\n    def save(self, file_path='LearnedModel', file_type='dot'):\n        from aalpy.utils import save_automaton_to_file\n        save_automaton_to_file(self, path=file_path, file_type=file_type)\n\n    def visualize(self, path='LearnedModel', file_type='pdf', display_same_state_transitions=True):\n        from aalpy.utils import visualize_automaton\n        visualize_automaton(self, path, file_type, display_same_state_transitions)\n\n    @staticmethod\n    @abstractmethod\n    def from_state_setup(state_setup: dict, **kwargs) -> 'Automaton':\n        pass\n\n    @abstractmethod\n    def to_state_setup(self):\n        pass\n\n    def copy(self) -> 'Automaton':\n        return self.from_state_setup(self.to_state_setup())\n\n    def __reduce__(self):\n        return self.from_state_setup, (self.to_state_setup(),)\n\n\nclass DeterministicAutomaton(Automaton[AutomatonStateType]):\n\n    @abstractmethod\n    def step(self, letter):\n        pass\n\n    def get_shortest_path(self, origin_state: AutomatonStateType, target_state: AutomatonStateType) -> Union[\n        tuple, None]:\n        \"\"\"\n        Breath First Search over the automaton to find the shortest path\n\n        Args:\n\n            origin_state (AutomatonState): state from which the BFS will start\n            target_state (AutomatonState): state that will be reached with the return value\n\n        Returns:\n\n            sequence of inputs that lead from origin_state to target state, or None if target state is not reachable\n            from origin state\n\n        \"\"\"\n        if origin_state not in self.states or target_state not in self.states:\n            warnings.warn('Origin or target state not in automaton. Returning None.')\n            return None\n\n        explored = []\n        queue = [[origin_state]]\n\n        if origin_state == target_state:\n            return ()\n\n        while queue:\n            path = queue.pop(0)\n            node = path[-1]\n            if node not in explored:\n                neighbours = node.transitions.values()\n                for neighbour in neighbours:\n                    new_path = list(path)\n                    new_path.append(neighbour)\n                    queue.append(new_path)\n                    # return path if neighbour is goal\n                    if neighbour == target_state:\n                        acc_seq = new_path[:-1]\n                        inputs = []\n                        for ind, state in enumerate(acc_seq):\n                            inputs.append(next(key for key, value in state.transitions.items()\n                                               if value == new_path[ind + 1]))\n                        return tuple(inputs)\n\n                # mark node as explored\n                explored.append(node)\n\n        return None\n\n    def is_strongly_connected(self) -> bool:\n        \"\"\"\n        Check whether the automaton is strongly connected,\n        meaning that every state can be reached from every other state.\n\n        Returns:\n\n            True if strongly connected, False otherwise\n\n        \"\"\"\n        import itertools\n\n        state_comb_list = itertools.permutations(self.states, 2)\n        for state_comb in state_comb_list:\n            if self.get_shortest_path(state_comb[0], state_comb[1]) is None:\n                return False\n        return True\n\n    def output_step(self, state, letter):\n        \"\"\"\n            Given an input letter, compute the output response from a given state.\n            Args:\n                state: state from which the output response shall be computed\n                letter: an input letter from the alphabet\n\n            Returns: the single-step output response\n\n        \"\"\"\n        state_save = self.current_state\n        self.current_state = state\n        output = self.step(letter)\n        self.current_state = state_save\n        return output\n\n    def find_distinguishing_seq(self, state1, state2, alphabet):\n        \"\"\"\n        A BFS to determine an input sequence that distinguishes two states in the automaton, i.e., a sequence such that\n        the output response from the given states is different. In a minimal automaton, this function always returns a\n        sequence different from None\n        Args:\n            state1: first state\n            state2: second state to distinguish\n            alphabet: input alphabet of the automaton\n\n        Returns: an input sequence distinguishing two states, or None if the states are equivalent\n\n        \"\"\"\n        visited = set()\n        to_explore = [(state1, state2, [])]\n        while to_explore:\n            (curr_s1, curr_s2, prefix) = to_explore.pop(0)\n            visited.add((curr_s1, curr_s2))\n            for i in alphabet:\n                o1 = self.output_step(curr_s1, i)\n                o2 = self.output_step(curr_s2, i)\n                new_prefix = prefix + [i]\n                if o1 != o2:\n                    return new_prefix\n                else:\n                    next_s1 = curr_s1.transitions[i]\n                    next_s2 = curr_s2.transitions[i]\n                    if (next_s1, next_s2) not in visited:\n                        to_explore.append((next_s1, next_s2, new_prefix))\n\n        return None\n\n    def compute_output_seq(self, state, sequence):\n        \"\"\"\n        Given an input sequence, compute the output response from a given state.\n        Args:\n            state: state from which the output response shall be computed\n            sequence: an input sequence over the alphabet\n\n        Returns: the output response\n\n        \"\"\"\n        state_save = self.current_state\n        output = self.execute_sequence(state, sequence)\n        self.current_state = state_save\n        return output\n\n    def is_minimal(self):\n        if not self.is_input_complete():\n            warnings.warn('Minimization of non input complete automata is not yet supported. Returning False.')\n            return False\n        return self.compute_characterization_set(raise_warning=False) is not None\n\n    def compute_characterization_set(self, char_set_init=None,\n                                     online_suffix_closure=True,\n                                     split_all_blocks=True,\n                                     return_same_states=False,\n                                     raise_warning=True):\n        \"\"\"\n        Computation of a characterization set, that is, a set of sequences that can distinguish all states in the\n        automation. The implementation follows the approach for finding multiple preset diagnosing experiments described\n        by Arthur Gill in \"Introduction to the Theory of Finite State Machines\".\n        Some optional parameterized adaptations, e.g., for computing suffix-closed sets target the application in\n        L*-based learning and conformance testing.\n        The function only works for minimal automata.\n        Args:\n            char_set_init: a list of sequence that will be included in the characterization set, e.g., the input\n                        alphabet. A empty sequance is added to this list when using automata with state labels\n                        (DFA and Moore)\n            online_suffix_closure: if true, ensures suffix closedness of the characterization set at every computation\n                                step\n            split_all_blocks: if false, the computation follows the original tree-based strategy, where newly computed\n                        sequences are only checked on a subset of the states to be distinguished\n                        if true, sequences are used to distinguish all states, yielding a potentially smaller set, which\n                        is useful for conformance testing and learning\n            return_same_states: if True, a single distinguishable pair of states will be returned, or None None if there\n                        are no non-distinguishable states\n            raise_warning: prints warning message if characterization set cannot be computed\n\n        Returns: a characterization set or None if a non-minimal automaton is passed to the function\n\n        \"\"\"\n        blocks = list()\n        blocks.append(copy.copy(self.states))\n        char_set = [] if not char_set_init else char_set_init\n        if char_set_init:\n            for seq in char_set_init:\n                blocks = self._split_blocks(blocks, seq)\n\n        alphabet = self.get_input_alphabet()\n        while True:\n            # Given a partition (of states), this function returns a block with at least two elements.\n            try:\n                block_to_split = next(filter(lambda b: len(b) > 1, blocks))\n            except StopIteration:\n                block_to_split = None\n\n            if not block_to_split:\n                break\n            split_state1 = block_to_split[0]\n            split_state2 = block_to_split[1]\n            dist_seq = self.find_distinguishing_seq(split_state1, split_state2, alphabet)\n            if dist_seq is None:\n                if return_same_states:\n                    return split_state1, split_state2\n\n                if raise_warning:\n                    warnings.warn(\"Automaton is non-canonical: could not compute characterization set.\"\n                                  \"Returning None.\")\n                return None\n\n            # in L*-based learning, we use suffix-closed column labels, so it makes sense to use a suffix-closed\n            # char set in this context\n            if online_suffix_closure:\n                dist_seq_closure = [tuple(dist_seq[len(dist_seq) - i - 1:]) for i in range(len(dist_seq))]\n            else:\n                dist_seq_closure = [tuple(dist_seq)]\n\n            # the standard approach described by Gill, computes a sequence that splits one block and really only splits\n            # one block, that is, it is only applied to the states in said block\n            # in L*-based learning we combine every prefix with every, therefore it makes sense to apply the sequence\n            # on all blocks and split all\n            if split_all_blocks:\n                for seq in dist_seq_closure:\n                    # seq may be in char_set if we do the closure on the fly\n                    if seq in char_set:\n                        continue\n                    char_set.append(seq)\n                    blocks = self._split_blocks(blocks, seq)\n            else:\n                blocks.remove(block_to_split)\n                new_blocks = [block_to_split]\n                for seq in dist_seq_closure:\n                    char_set.append(seq)\n                    new_blocks = self._split_blocks(new_blocks, seq)\n                for new_block in new_blocks:\n                    blocks.append(new_block)\n\n        unique_char_set = []\n        for seq in char_set:\n            if seq not in unique_char_set:\n                unique_char_set.append(seq)\n        char_set = unique_char_set\n\n        if return_same_states:\n            return None, None\n        return char_set\n\n    def _split_blocks(self, blocks, seq):\n        \"\"\"\n        Refines a partition of states (blocks) using the output response to a given input sequence seq.\n        Args:\n            blocks: a partition of states\n            seq: an input sequence\n\n        Returns: a refined partition of states\n\n        \"\"\"\n        new_blocks = []\n        for block in blocks:\n            block_after_split = defaultdict(list)\n            for state in block:\n                output_seq = tuple(self.compute_output_seq(state, seq))\n                block_after_split[output_seq].append(state)\n            for new_block in block_after_split.values():\n                new_blocks.append(new_block)\n        return new_blocks\n\n    def compute_prefixes(self):\n        for s in self.states:\n            if not s.prefix:\n                s.prefix = self.get_shortest_path(self.initial_state, s)\n\n    def minimize(self):\n        if not self.is_input_complete():\n            warnings.warn('Minimization of non input complete automata is not yet supported.\\n Model not minimized.')\n            return\n\n        s1, s2 = self.compute_characterization_set(return_same_states=True)\n        while s1 and s2:\n            for s in self.states:\n                for i, new_state in s.transitions.items():\n                    if new_state == s2:\n                        s.transitions[i] = s1\n            self.states.remove(s2)\n            s1, s2 = self.compute_characterization_set(return_same_states=True)\n\n        self.compute_prefixes()\n\n    def __eq__(self, other):\n        from aalpy.utils import bisimilar\n        return bisimilar(self, other)"
  },
  {
    "path": "aalpy/base/CacheTree.py",
    "content": "class Node(object):\n    __slots__ = ['value', 'children']\n\n    def __init__(self, value=None):\n        self.value = value\n        self.children = {}\n\n\nclass CacheTree:\n    \"\"\"\n    Tree in which all membership queries and corresponding outputs/values are stored. Membership queries update the tree\n    and while updating, check if determinism is maintained.\n    Root node corresponds to the initial state, and from that point on, for every new input/output pair, a new child is\n    created where the output is the value of the child, and the input is the transition leading from the parent to the\n    child.\n    \"\"\"\n\n    def __init__(self):\n        self.root_node = Node()\n        self.curr_node = None\n        self.inputs = ()\n        self.outputs = ()\n\n    def reset(self):\n        self.curr_node = self.root_node\n        self.inputs = ()\n        self.outputs = ()\n\n    def step_in_cache(self, inp, out):\n        \"\"\"\n        Preform a step in the cache. If output exist for the current state, and is not the same as `out`, throw\n        the non-determinism violation error and abort learning.\n        Args:\n\n            inp: input\n            out: output\n\n        \"\"\"\n        self.inputs += (inp,)\n        self.outputs += (out,)\n        if inp is None:\n            self.root_node.value = out\n            return\n\n        if inp not in self.curr_node.children.keys():\n            node = Node(out)\n            self.curr_node.children[inp] = node\n        else:\n            node = self.curr_node.children[inp]\n            if node.value != out:\n                expected_seq = self.outputs[:-1]\n                expected_seq += (node.value,)\n                msg = f'Non-determinism detected.\\n' \\\n                      f'Error inserting: {self.inputs}\\n' \\\n                      f'Conflict detected: {node.value} vs {out}\\n' \\\n                      f'Expected Output: {expected_seq}\\n' \\\n                      f'Received output: {self.outputs}'\n                raise SystemExit(msg)\n        self.curr_node = node\n\n    def in_cache(self, input_seq: tuple):\n        \"\"\"\n        Check if the result of the membership query for input_seq is cached is in the tree. If it is, return the\n        corresponding output sequence.\n\n        Args:\n\n            input_seq: corresponds to the membership query\n\n        Returns:\n\n            outputs associated with inputs if it is in the query, None otherwise\n\n        \"\"\"\n        curr_node = self.root_node\n\n        output_seq = ()\n        for letter in input_seq:\n            if letter in curr_node.children.keys():\n                curr_node = curr_node.children[letter]\n                output_seq += (curr_node.value,)\n            else:\n                return None\n\n        return output_seq\n\n    def add_to_cache(self, input_sequence, output_sequence):\n        \"\"\"\n        Add input-output sequence to cache\n        \"\"\"\n        self.reset()\n        for i, o in zip(input_sequence, output_sequence):\n            self.step_in_cache(i, o)\n\n\nclass CacheDict:\n    \"\"\"\n    Dictionary in which all membership queries and corresponding outputs/values are stored. Membership queries update\n    the tree and while updating, check if determinism is maintained.\n    Root node corresponds to the initial state, and from that point on, for every new input/output pair, a new child is\n    created where the output is the value of the child, and the input is the transition leading from the parent to the\n    child.\n    \"\"\"\n\n    def __init__(self):\n        self.cache_dict = dict()\n        self.inputs = ()\n\n    def reset(self):\n        self.inputs = ()\n        pass\n\n    def step_in_cache(self, inp, out):\n        \"\"\"\n        Preform a step in the cache. If output exist for the current state, and is not the same as `out`, throw\n        the non-determinism violation error and abort learning.\n        Args:\n\n            inp: input\n            out: output\n\n        \"\"\"\n\n        if inp is None:\n            return self.cache_dict[()]\n\n        self.inputs += (inp,)\n\n        if self.inputs not in self.cache_dict.keys():\n            self.cache_dict[self.inputs] = out\n        else:\n            cache_output = self.cache_dict[self.inputs]\n            if cache_output != out:\n                expected_seq = self.get_output_sequence(self.inputs)\n                received_seq = expected_seq[:-1] + (out,)\n                msg = f'Non-determinism detected.\\n' \\\n                      f'Error inserting: {self.inputs}\\n' \\\n                      f'Conflict detected: {cache_output} vs {out}\\n' \\\n                      f'Expected Output: {expected_seq}\\n' \\\n                      f'Received output: {received_seq}'\n                raise SystemExit(msg)\n\n    def in_cache(self, input_seq: tuple):\n        \"\"\"\n        Check if the result of the membership query for input_seq is cached is in the tree. If it is, return the\n        corresponding output sequence.\n\n        Args:\n\n            input_seq: corresponds to the membership query\n\n        Returns:\n\n            outputs associated with inputs if it is in the query, None otherwise\n\n        \"\"\"\n        if input_seq in self.cache_dict.keys():\n            return self.get_output_sequence(input_seq)\n        return None\n\n    def add_to_cache(self, input_sequence, output_sequence):\n        \"\"\"\n        Add input-output sequence to cache\n        \"\"\"\n        for i in range(1, len(input_sequence) + 1):\n            self.cache_dict[input_sequence[:i]] = output_sequence[i-1]\n\n    def get_output_sequence(self, input_seq):\n        return tuple(self.cache_dict[input_seq[:i]] for i in range(1, len(input_seq) + 1))\n"
  },
  {
    "path": "aalpy/base/Oracle.py",
    "content": "from abc import ABC, abstractmethod\n\nfrom aalpy.base import SUL\n\n\nclass Oracle(ABC):\n    \"\"\"Abstract class implemented by all equivalence oracles.\"\"\"\n\n    def __init__(self, alphabet: list, sul: SUL):\n        \"\"\"\n        Default constructor for all equivalence oracles.\n\n        Args:\n\n            alphabet: input alphabet\n            sul: system under learning\n        \"\"\"\n\n        self.alphabet = alphabet\n        self.sul = sul\n        self.num_queries = 0\n        self.num_steps = 0\n\n    @abstractmethod\n    def find_cex(self, hypothesis):\n        \"\"\"\n        Return a counterexample (inputs) that displays different behavior on system under learning and\n        current hypothesis.\n\n        Args:\n\n          hypothesis: current hypothesis\n\n        Returns:\n\n            tuple or list containing counterexample inputs, None if no counterexample is found\n        \"\"\"\n        pass\n\n    def reset_hyp_and_sul(self, hypothesis):\n        \"\"\"\n        Reset SUL and hypothesis to initial state.\n\n        Args:\n\n            hypothesis: current hypothesis\n\n        \"\"\"\n        hypothesis.reset_to_initial()\n        self.sul.pre()\n        self.num_queries += 1"
  },
  {
    "path": "aalpy/base/SUL.py",
    "content": "from abc import ABC, abstractmethod\n\nfrom aalpy.base.CacheTree import CacheTree, CacheDict\n\n\nclass SUL(ABC):\n    \"\"\"\n    System Under Learning (SUL) abstract class. Defines the interaction between the learning algorithm and the system\n    under learning. All systems under learning have to implement this class, as it is\n    passed to the learning algorithm and the equivalence oracle.\n    \"\"\"\n\n    def __init__(self):\n        self.num_queries = 0\n        self.num_steps = 0\n        self.num_cached_queries = 0\n\n    def query(self, word: tuple) -> list:\n        \"\"\"\n        Performs a membership query on the SUL. Before the query, pre() method is called and after the query post()\n        method is called. Each letter in the word (input in the input sequence) is executed using the step method.\n\n        Args:\n\n            word: membership query (word consisting of letters/inputs)\n\n        Returns:\n\n            list of outputs, where the i-th output corresponds to the output of the system after the i-th input\n\n        \"\"\"\n        self.pre()\n        # Empty string for DFA\n        if len(word) == 0:\n            out = [self.step(None)]\n        else:\n            out = [self.step(letter) for letter in word]\n        self.post()\n        self.num_queries += 1\n        self.num_steps += len(word)\n        return out\n\n    def io_query(self, word : tuple):\n        return list(zip(word, self.query(word)))\n\n    def adaptive_query(self, word, ads):\n        \"\"\"\n\n        Performs an adaptive output query on the SUL. Before the query, pre() method is called and after the query post()\n        method is called. The ADS is a tree like object, the next input depends on the previous input-output pairs. Each input is executed using the step method. Currently only implemented for Mealy machines\n\n        Args:\n\n            word: membership query (word consisting of letters/inputs)\n\n            ads: adaptive distinguishing suffix\n\n        Returns:\n\n            list of outputs, where the i-th output corresponds to the output of the system after the i-th input\n        \"\"\"\n        self.pre()\n\n        outputs_received = []\n        last_output = None\n\n        for inp in word:\n            output = self.step(inp)\n            outputs_received.append(output)\n\n        self.num_steps += len(word)\n\n        while True:\n            next_input = ads.next_input(last_output)\n            if next_input is None:\n                break\n            if next_input is tuple(): # Relevant for DFA/Moore\n                if outputs_received:\n                    last_output = outputs_received[-1]\n                else:\n                    last_output = self.step(None)\n            else:\n                word.append(next_input)\n                output = self.step(next_input) \n                outputs_received.append(output)\n                last_output = output\n                self.num_steps += 1\n\n        self.num_queries += 1\n        self.post()\n\n        return word, outputs_received\n\n    @abstractmethod\n    def pre(self):\n        \"\"\"\n        Resets the system. Called after post method in the equivalence query.\n        \"\"\"\n        pass\n\n    @abstractmethod\n    def post(self):\n        \"\"\"\n        Performs additional cleanup on the system in necessary. Called before pre method in the equivalence query.\n        \"\"\"\n        pass\n\n    @abstractmethod\n    def step(self, letter):\n        \"\"\"\n        Executes an action on the system under learning and returns its result.\n\n        Args:\n\n            letter: Single input that is executed on the SUL.\n\n        Returns:\n\n            Output received after executing the input.\n\n        \"\"\"\n        pass\n\n\nclass CacheSUL(SUL):\n    \"\"\"\n    System under learning that keeps a multiset of all queries in memory.\n    This multiset/cache is encoded as a tree.\n    \"\"\"\n\n    def __init__(self, sul: SUL, cache_type='tree'):\n        super().__init__()\n        self.sul = sul\n        self.cache = CacheTree() if cache_type == 'tree' else CacheDict()\n\n    def query(self, word):\n        \"\"\"\n        Performs a membership query on the SUL if and only if `word` is not a prefix of any trace in the cache.\n        Before the query, pre() method is called and after the query post()\n        method is called. Each letter in the word (input in the input sequence) is executed using the step method.\n\n        Args:\n\n            word: membership query (word consisting of letters/inputs)\n\n        Returns:\n\n            list of outputs, where the i-th output corresponds to the output of the system after the i-th input\n\n        \"\"\"\n        cached_query = self.cache.in_cache(word)\n        if cached_query:\n            self.num_cached_queries += 1\n            return cached_query\n\n        # get outputs using default query method\n        out = self.sul.query(word)\n\n        # add input/outputs to tree\n        self.cache.reset()\n        for i, o in zip(word, out):\n            self.cache.step_in_cache(i, o)\n\n        self.num_queries += 1\n        self.num_steps += len(word)\n        return out\n\n    def pre(self):\n        \"\"\"\n        Reset the system under learning and current node in the cache tree.\n        \"\"\"\n        self.cache.reset()\n        self.sul.pre()\n\n    def post(self):\n        self.sul.post()\n\n    def step(self, letter):\n        \"\"\"\n        Executes an action on the system under learning, adds it to the cache and returns its result.\n\n        Args:\n\n           letter: Single input that is executed on the SUL.\n\n        Returns:\n\n           Output received after executing the input.\n\n        \"\"\"\n        out = self.sul.step(letter)\n        self.cache.step_in_cache(letter, out)\n        return out\n"
  },
  {
    "path": "aalpy/base/__init__.py",
    "content": "from .Automaton import Automaton, AutomatonState, DeterministicAutomaton\nfrom .Oracle import Oracle\nfrom .SUL import SUL\n"
  },
  {
    "path": "aalpy/learning_algs/__init__.py",
    "content": "# public API for running automata learning algorithms\nfrom .deterministic.LStar import run_Lstar\nfrom .deterministic.KV import run_KV\nfrom .deterministic.LSharp import run_Lsharp\nfrom .adaptive.AdaptiveLSharp import run_adaptive_Lsharp\nfrom .non_deterministic.OnfsmLstar import run_non_det_Lstar\nfrom .non_deterministic.AbstractedOnfsmLstar import run_abstracted_ONFSM_Lstar\nfrom .stochastic.StochasticLStar import run_stochastic_Lstar\nfrom .stochastic_passive.Alergia import run_Alergia, run_JAlergia\nfrom .stochastic_passive.ActiveAleriga import run_active_Alergia\nfrom .deterministic_passive.RPNI import run_RPNI\nfrom .deterministic_passive.PAPNI import run_PAPNI\nfrom .deterministic_passive.active_RPNI import run_active_RPNI\nfrom .general_passive.GeneralizedStateMerging import run_GSM\nfrom .general_passive.GsmAlgorithms import run_EDSM, run_Alergia_EDSM, run_k_tails\n"
  },
  {
    "path": "aalpy/learning_algs/adaptive/AdaptiveLSharp.py",
    "content": "import time\n\nfrom aalpy.base import Oracle, SUL\nfrom aalpy.utils.HelperFunctions import print_learning_info\nfrom .AdaptiveObservationTree import AdaptiveObservationTree\nfrom ...base.SUL import CacheSUL\n\n\ndef run_adaptive_Lsharp(alphabet: list, sul: SUL, references: list, eq_oracle: Oracle, automaton_type,\n                        extension_rule=None, separation_rule=\"SepSeq\",\n                        rebuilding=True, state_matching=\"Approximate\",\n                        samples=None, max_learning_rounds=None,\n                        cache_and_non_det_check=True, return_data=False, print_level=2):\n    \"\"\"\n    Based on ''State Matching and Multiple References in Adaptive Active Automata Learning'' from Kruger, Junges and Rot.\n    The algorithm learns a Mealy machine using a set of references. These references are used by two procedures \n    1) Rebuilding which kickstarts the learning process using the references and 2) State Matching which matches the\n    basis states and references states to find new basis states faster.\n\n    Args:\n\n        alphabet: input alphabet\n\n        sul: system under learning\n\n        references: a list of references\n\n        eq_oracle: equivalence oracle\n\n        automaton_type: type of automaton to be learned. Either 'dfa', 'mealy' or 'moore'\n\n        extension_rule: strategy used during the extension rule. Options: \"Nothing\" (default), \"SepSeq\" and \"ADS\".\n\n        separation_rule: strategy used during the extension rule. Options: \"SepSeq\" (default) and \"ADS\".\n\n        rebuilding: procedure that poses output queries to rebuild the observation tree based on prefixes and separating sequences from the reference(s).\n        Only executes at the start of adaptive L#. default value: True. \n\n        state_matching: if not None, the learner maintains a matching relation between basis states (in the observation tree) and reference model states.\n        This matching relation is used in three rules added on top of L# to either identify a frontier state faster or isolate it when the matching indicates\n        that the frontier state corresponds to a reference model state not yet present in the basis. default value: \"Approximate\". \n        - Two states match according to \"total matching\" if all output over the defined and shared alphabet are exactly the same.\n        - Two states match according to \"approximate matching\" if they have the highest ratio of equivalent outputs to defined outputs over the shared alphabet. \n        - None can be used if only the rebuilding procedure is needed.\n\n        samples: input output traces provided to the learning algorithm. They are added to cache and could reduce\n        total interaction with the system. Syntax: list of [(input_sequence, output_sequence)] or None\n\n        max_learning_rounds: number of learning rounds after which learning will terminate (Default value = None)\n\n        cache_and_non_det_check: Use caching and non-determinism checks (Default value = True)\n\n        return_data: if True, a map containing all information(runtime/#queries/#steps) will be returned\n            (Default value = False)\n\n        print_level: 0 - None, 1 - just results, 2 - current round and hypothesis size, 3 - educational/debug\n            (Default value = 2)\n\n    Returns:\n\n        automaton of type automaton_type (dict containing all information about learning if 'return_data' is True)\n\n    \"\"\"\n    assert extension_rule in {None, \"SepSeq\", \"ADS\"}\n    assert separation_rule in {\"SepSeq\", \"ADS\"}\n\n    assert state_matching in {None, \"Total\", \"Approximate\"}\n    assert references is not None, 'List of reference models is empty. Use L*, KV, L#, or provide models.'\n\n    if not rebuilding and not state_matching:\n        raise Exception(f\"Use L# instead of Adaptive L# if rebuilding is set to False and state matching to None.\")\n\n    if cache_and_non_det_check or samples is not None:\n        # Wrap the sul in the CacheSUL, so that all steps/queries are cached\n        sul = CacheSUL(sul)\n        eq_oracle.sul = sul\n\n        if samples:\n            for input_seq, output_seq in samples:\n                sul.cache.add_to_cache(input_seq, output_seq)\n\n    ob_tree = AdaptiveObservationTree(alphabet, sul, references, automaton_type,\n                                      extension_rule, separation_rule,\n                                      rebuilding, state_matching)\n    start_time = time.time()\n    eq_query_time = 0\n    learning_rounds = 0\n    hypothesis = None\n\n    while True:\n        learning_rounds += 1\n        if max_learning_rounds and learning_rounds == max_learning_rounds:\n            break\n\n        # Building the hypothesis\n        hypothesis = ob_tree.build_hypothesis()\n\n        if print_level > 1:\n            print(f'Hypothesis {learning_rounds}: {hypothesis.size} states.')\n        if print_level == 3:\n            print(hypothesis)\n            if ob_tree.state_matching:\n                ob_tree.state_matcher.print_match_table(ob_tree)\n\n        # Pose Equivalence Query\n        eq_query_start = time.time()\n        cex = eq_oracle.find_cex(hypothesis)\n        eq_query_time += time.time() - eq_query_start\n\n        if print_level > 2:\n            print(f'Counterexample: {cex}')\n\n        if cex is None:\n            break\n\n        # Process the counterexample and start a new learning round\n        cex_outputs = sul.query(cex)\n        ob_tree.process_counter_example(hypothesis, cex, cex_outputs)\n\n    total_time = round(time.time() - start_time, 2)\n    eq_query_time = round(eq_query_time, 2)\n    learning_time = round(total_time - eq_query_time, 2)\n\n    info = {\n        'learning_rounds': learning_rounds,\n        'automaton_size': hypothesis.size,\n        'queries_learning': sul.num_queries,\n        'steps_learning': sul.num_steps,\n        'queries_eq_oracle': eq_oracle.num_queries,\n        'steps_eq_oracle': eq_oracle.num_steps,\n        'learning_time': learning_time,\n        'eq_oracle_time': eq_query_time,\n        'total_time': total_time,\n        'cache_saved': sul.num_cached_queries,\n    }\n    if rebuilding:\n        info['rebuild_states'] = ob_tree.rebuild_states\n    if state_matching != \"None\":\n        info['matching_type'] = state_matching\n        info['matching_states'] = ob_tree.matching_states\n\n    if print_level > 0:\n        print_learning_info(info)\n\n    if return_data:\n        return hypothesis, info\n\n    return hypothesis\n"
  },
  {
    "path": "aalpy/learning_algs/adaptive/AdaptiveObservationTree.py",
    "content": "from aalpy.automata import MealyMachine, MealyState\nfrom aalpy.learning_algs.adaptive.StateMatching import TotalStateMatching, ApproximateStateMatching\nfrom aalpy.learning_algs.deterministic.Apartness import Apartness\nfrom aalpy.learning_algs.deterministic.ObservationTree import ObservationTree\nfrom aalpy.oracles.WpMethodEqOracle import state_characterization_set\nfrom aalpy.base import Automaton, SUL\nfrom aalpy.automata import Dfa, DfaState, MealyState, MealyMachine, MooreMachine, MooreState\n\n\nclass AdaptiveObservationTree(ObservationTree):\n    def __init__(self, alphabet, sul, references, automaton_type, extension_rule, separation_rule, rebuilding=True, state_matching=\"Approximate\"):\n        \"\"\"\n        Initialize the tree with a root node and the alphabet\n        A temporary new basis is needed for the prioritized promotion rule\n        The rebuild states counter counts the number of states found with rebuilding excluding the root\n        The matching states counter counts the number of states found with match refinement and match separation (NOT prioritized separation)\n        \"\"\"\n        super().__init__(alphabet, sul, automaton_type, extension_rule, separation_rule)\n        self.references = references\n        self.rebuild_states = 0\n        self.matching_states = 0\n\n        if not references:\n            self.state_matching = None\n            print(f\"Warning: no references given, normal L# is executed.\")\n            return\n\n        self.rebuilding = rebuilding\n        self.state_matching = state_matching\n        self.prefixes_map = {}\n        self.characterization_map = {}\n        self.combined_model = self.get_combined_model()\n        if not self.combined_model:\n            self.state_matching = None\n            return\n\n        # We keep track of a new basis to ensure maximal overlap between prefixes in the references and the new model\n        self.new_basis = [self.root]\n        self.initial_OQs = []\n\n        if self.rebuilding:\n            self.rebuild_obs_tree()\n\n        if self.state_matching == \"Total\":\n            self.state_matcher = TotalStateMatching(self.alphabet, self.combined_model)\n        elif self.state_matching == \"Approximate\":\n            self.state_matcher = ApproximateStateMatching(self.alphabet, self.combined_model)\n\n        if self.state_matching:\n            self.state_matcher.initialize_matching(self)\n\n\n    def build_hypothesis(self):\n        \"\"\"\n        Builds the hypothesis which will be sent to the SUL and checks consistency\n        This is either done with or without matching rules\n        \"\"\"\n        while True:\n            if self.state_matching:\n                self.make_observation_tree_adequate_matching()\n            else:\n                super().make_observation_tree_adequate()\n            hypothesis = self.construct_hypothesis()\n            counter_example = Apartness.compute_witness_in_tree_and_hypothesis_states(self, self.root, hypothesis.initial_state)\n\n            if not counter_example:\n                return hypothesis\n\n            cex_outputs = self.get_observation(counter_example)\n            self.process_counter_example(hypothesis, counter_example, cex_outputs)\n\n    def make_observation_tree_adequate_matching(self):\n        \"\"\"\n        Updates the frontier and basis based on several rules \n        Terminates when the observation tree is adequate and no progress has been made in one round\n        The separation rule is only used when prioritized separation did not make progress\n        The matching rules are only used when the observation tree is already adequate\n        \"\"\"\n        self.update_frontier_and_basis()\n        ob_tree_size = self.get_size()\n        while not self.is_observation_tree_adequate() or ob_tree_size != self.get_size():\n            self.make_basis_complete()\n\n            ob_tree_size = self.get_size()\n            self.make_frontiers_identified_with_matching()\n            if ob_tree_size == self.get_size():\n                self.make_frontiers_identified()\n\n            self.promote_frontier_state()\n            self.update_frontier_and_basis()\n\n            if self.is_observation_tree_adequate():\n                old_basis = len(self.basis)\n                self.match_refinement()\n                self.match_separation()\n\n                if old_basis < len(self.basis):\n                    self.matching_states += len(self.basis) - old_basis\n\n    def make_frontiers_identified_with_matching(self):\n        \"\"\"\n        Loop over all frontier states to identify them using prioritized identification,\n        Only enabled when L# is running with the SepSeq separation rule\n        \"\"\"\n        if self.separation_rule == \"SepSeq\":\n            for frontier_state in self.frontier_to_basis_dict:\n                self.identify_frontier_with_matching(frontier_state)\n\n    def identify_frontier_with_matching(self, frontier_state):\n        \"\"\"\n        Determines the reference state which matches the frontier state (by looking at the basis parent)\n        Then finds the state identifiers for the matched reference state \n        Tries to identify the frontier state using the state identifiers of the matched state\n        \"\"\"\n        if frontier_state not in self.frontier_to_basis_dict:\n            raise Exception(\n                f\"Warning: {frontier_state} not found in frontier_to_basis_dict.\")\n\n        self.update_basis_candidates(frontier_state)\n\n        parent_basis = frontier_state.parent\n        inp = frontier_state.input_to_parent\n        match = self.state_matcher.best_match[parent_basis]\n        if not match:\n            return\n\n        if inp in match[0].transitions:\n            frontier_match = match[0].transitions[inp]\n            identifiers = self.characterization_map[frontier_match]\n            self.identify_frontier_with_identifiers(frontier_state, identifiers)\n\n    def identify_frontier_with_identifiers(self, frontier_state, identifiers):\n        \"\"\" \n        Loops through all candidates states and checks whether they can be separated using one\n        of the state identifiers of the state matched with the frontier state\n        \"\"\"\n        basis_candidates = self.frontier_to_basis_dict.get(frontier_state)\n\n        for i in range(0, len(basis_candidates)):\n            for j in range(i+1, len(basis_candidates)):\n                newest_basis_candidates = self.frontier_to_basis_dict.get(frontier_state)\n                basis_one = basis_candidates[i]\n                basis_two = basis_candidates[j]\n\n                if basis_one not in newest_basis_candidates:\n                    break\n                if basis_two not in newest_basis_candidates:\n                    continue\n\n                witness = self.get_or_compute_witness(basis_one, basis_two)\n                if tuple(witness) in identifiers:\n                    inputs = self.get_transfer_sequence(\n                        self.root, frontier_state)\n\n                    inputs.extend(witness)\n                    outputs = self.sul.query(inputs)\n                    self.insert_observation(inputs, outputs)\n                    self.update_basis_candidates(frontier_state)\n\n                if len(self.frontier_to_basis_dict.get(frontier_state)) < 2:\n                    return\n\n    def match_refinement(self):\n        # Loops over the basis states to refine the match for each basis state\n        old_basis = list(self.basis)\n        for basis_state in old_basis:\n            matches = self.state_matcher.best_match[basis_state]\n            if len(matches) > 1:\n                self.refine_matches_basis(basis_state, matches)\n                self.update_frontier_and_basis()\n\n    def find_distinguishing_seq_partial(self, model, state1, state2, alphabet):\n        \"\"\"\n        A BFS to determine an input sequence that distinguishes two states in the automaton\n        Can handle partial models\n        \"\"\"\n        visited = set()\n        to_explore = [(state1, state2, [])]\n        while to_explore:\n            (curr_s1, curr_s2, prefix) = to_explore.pop(0)\n            visited.add((curr_s1, curr_s2))\n            for i in alphabet:\n                if i in curr_s1.transitions and i in curr_s2.transitions:\n                    o1 = model.output_step(curr_s1, i)\n                    o2 = model.output_step(curr_s2, i)\n                    new_prefix = prefix + [i]\n                    if o1 != o2:\n                        return new_prefix\n                    else:\n                        next_s1 = curr_s1.transitions[i]\n                        next_s2 = curr_s2.transitions[i]\n                        if (next_s1, next_s2) not in visited:\n                            to_explore.append((next_s1, next_s2, new_prefix))\n\n        return None\n\n    def refine_matches_basis(self, basis_state, matches):\n        \"\"\" \n        Loops over the matched reference states and separates them using a separating sequence\n        Returns when only one matching reference state remains, or some states are not distinguishable\n        \"\"\"\n        for i in range(0, len(matches)):\n            for j in range(i+1, len(matches)):\n                ref_state_one = matches[i]\n                ref_state_two = matches[j]\n\n                current_matches = self.state_matcher.best_match[basis_state]\n                if ref_state_one not in current_matches:\n                    break\n                if ref_state_two not in current_matches:\n                    continue\n\n                witness = self.find_distinguishing_seq_partial(self.combined_model,\n                    ref_state_one, ref_state_two, self.alphabet)\n                if witness is None:\n                    continue\n                inputs = self.get_transfer_sequence(self.root, basis_state)\n                inputs.extend(witness)\n                outputs = self.sul.query(inputs)\n                self.insert_observation(inputs, outputs)\n\n                current_matches = self.state_matcher.best_match[basis_state]\n                if len(current_matches) < 2:\n                    return\n\n    def match_separation(self):\n        \"\"\" \n        Loops over frontier states and calls the match separation with as goal isolation of the frontier state\n        \"\"\"\n        matched_states = []\n\n        all_best_matches = []\n        for basis_state in self.basis:\n            matches = self.state_matcher.best_match[basis_state]\n            if len(matches) == 1:\n                all_best_matches.append(matches)\n\n        for matches in all_best_matches:\n            for ref_state in matches:\n                if ref_state not in matched_states:\n                    matched_states.append(ref_state)\n\n        frontier_states = list(self.frontier_to_basis_dict.keys())\n        for frontier_state in frontier_states:\n            if frontier_state in self.frontier_to_basis_dict.keys():\n                basis_candidates = self.frontier_to_basis_dict[frontier_state]\n                self.match_separation_frontier(\n                    matched_states, frontier_state, basis_candidates)\n                self.update_frontier_and_basis()\n\n    def match_separation_frontier(self, matched_states, frontier_state, basis_candidates):\n        \"\"\" \n        Tries to isolate the frontier state if it matches a reference state that currently is not matched to any basis state\n        \"\"\"\n        parent_basis = frontier_state.parent\n        inp = frontier_state.input_to_parent\n        for match in self.state_matcher.best_match[parent_basis]:\n            if (inp in match.transitions and match.transitions[inp] in matched_states) or (inp not in match.transitions):\n                continue\n\n            frontier_match = match.transitions[inp]\n            for basis_state in basis_candidates:\n                if basis_state not in self.frontier_to_basis_dict[frontier_state]:\n                    continue\n                if Apartness.compute_witness_in_tree_and_hypothesis_states(\n                    self, frontier_state, frontier_match):\n                    continue\n\n                witness = Apartness.compute_witness_in_tree_and_hypothesis_states(\n                    self, basis_state, frontier_match)\n                if witness is None:\n                    continue\n                inputs = self.get_transfer_sequence(self.root, frontier_state)\n                inputs.extend(witness)\n                outputs = self.sul.query(inputs)\n                self.insert_observation(inputs, outputs)\n                self.update_basis_candidates(frontier_state)\n\n    def promote_frontier_state(self):\n        \"\"\"\n        Searches for an isolated frontier state and adds it to the basis states if\n        it is not associated with another basis state\n        \"\"\"\n        for iso_frontier_state, basis_list in self.frontier_to_basis_dict.items():\n            if not basis_list:\n                new_basis = iso_frontier_state\n                self.basis.append(new_basis)\n                self.frontier_to_basis_dict.pop(new_basis)\n                if self.state_matching:\n                    self.state_matcher.update_matching_basis(new_basis, self)\n\n                for frontier_state, new_basis_list in self.frontier_to_basis_dict.items():\n                    if not Apartness.states_are_apart(new_basis, frontier_state, self):\n                        new_basis_list.append(new_basis)\n                break\n\n    def insert_observation(self, inputs, outputs):\n        \"\"\"\n        Insert an observation into the tree using sequences of inputs and outputs\n        If state matching is enabled, ensure that the matching is updated\n        \"\"\"\n        if len(inputs) != len(outputs):\n            raise ValueError(\"Inputs and outputs must have the same length.\")\n\n        if self.state_matching:\n            self.extend_node_and_update_matching(inputs, outputs)\n        else:\n            current_node = self.root\n            for input_val, output_val in zip(inputs, outputs):\n                current_node = current_node.extend_and_get(\n                    input_val, output_val)\n\n\n    def extend_node_and_update_matching(self, inputs, outputs):\n        \"\"\" \n        Extends the observation tree with new inputs \n        Splits the input sequence in \"already defined\" part and the \"new inputs\" part\n        If the inputs are not already present in the tree, we update the matching\n        \"\"\"\n        to_recalc = []\n        split = None\n        current_node = self.root\n        for i in range(0, len(inputs)):\n            input_val = inputs[i]\n            output_val = outputs[i]\n            if current_node in self.basis:\n                to_recalc.append(current_node)\n            if input_val not in current_node.successors and split is None:\n                split = (inputs[:i], inputs[i:])\n            current_node = current_node.extend_and_get(input_val, output_val)\n\n        if split:\n            self.state_matcher.update_matching(to_recalc, split, self)\n\n    # Functions related to rebuilding the observation tree\n\n    def rebuild_obs_tree(self):\n        \"\"\" \n        Rebuilds the observation tree by finding pairs of frontier and basis states that occur in the same reference model\n        Then posing output queries to try to distinguish them in the SUL\n        Try to apply the prioritized promotion rule\n        \"\"\"\n        tup = self.find_frontier_new_basis()\n        while tup:\n            (basis_state_access, frontier_state_access, sep_seq) = tup\n            query1 = frontier_state_access + sep_seq\n            self.insert_observation_rebuilding(query1, self.sul.query(query1))\n            query2 = basis_state_access + sep_seq\n            self.insert_observation_rebuilding(query2, self.sul.query(query2))\n\n            self.prioritized_promotion()\n            tup = self.find_frontier_new_basis()\n        self.basis = self.new_basis\n        self.update_frontier_and_basis()\n\n    def prioritized_promotion(self):\n        \"\"\"\n        Promotes an isolated frontier state with an access sequence in the prefix set of one of the references\n        \"\"\"\n        for reference_id in range(0, len(self.references)):\n            for reference_prefix in self.prefixes_map[reference_id]:\n                ob_tree_state = self.get_successor(reference_prefix)\n                if not ob_tree_state:\n                    continue\n                basis_parent = ob_tree_state.parent\n                if (basis_parent in self.new_basis) and (ob_tree_state not in self.new_basis) and self.apart_from_all(ob_tree_state):\n                    self.new_basis.append(ob_tree_state)\n                    self.rebuild_states += 1\n\n    def find_frontier_new_basis(self):\n        \"\"\" \n        This function find a frontier and basis state pair which both occur in one of the reference models \n        Because they occur in the same reference model, we have a separating sequence to distinguish them \n        \"\"\"\n        for basis_state_one in self.new_basis:\n            for inp in self.alphabet:\n                frontier_state_access = self.get_access_sequence(\n                    basis_state_one) + (inp,)\n                frontier_state = basis_state_one.get_successor(inp)\n                if self.get_successor(frontier_state_access) in self.new_basis:\n                    continue\n                if self.find_basis_frontier_pair(frontier_state, frontier_state_access):\n                    return self.find_basis_frontier_pair(frontier_state, frontier_state_access)\n        return None\n\n    def find_basis_frontier_pair(self, frontier_state, frontier_state_access):\n        \"\"\" \n        Find a basis state and reference model such that the prefixes of the\n            basis state and frontier state are in the reference model prefix set\n        Find a separating sequence that separates the frontier and basis state\n        \"\"\"\n        for basis_state in self.new_basis:\n            basis_state_access = self.get_access_sequence(basis_state)\n            for reference_id in range(0, len(self.references)):\n                reference = self.references[reference_id]\n                if (basis_state_access not in self.prefixes_map[reference_id]) or (frontier_state_access not in self.prefixes_map[reference_id]):\n                    continue\n                if frontier_state and Apartness.compute_witness(basis_state, frontier_state, self) is not None:\n                    continue\n\n                reference.execute_sequence(reference.initial_state, frontier_state_access)\n                state_one = reference.current_state\n\n                reference.execute_sequence(reference.initial_state, basis_state_access)\n                state_two = reference.current_state\n\n                sep_seq = self.find_distinguishing_seq_partial(reference,\n                    state_one, state_two, self.alphabet)\n                if sep_seq and (self.get_successor(frontier_state_access + tuple(sep_seq)) is None or\n                                self.get_successor(basis_state_access + tuple(sep_seq)) is None):\n                    return basis_state_access, frontier_state_access, tuple(sep_seq)\n        return None\n\n    def insert_observation_rebuilding(self, inputs, outputs):\n        \"\"\"\n        Insert an observation into the tree using sequences of inputs and outputs\n        \"\"\"\n        if len(inputs) != len(outputs):\n            raise ValueError(\"Inputs and outputs must have the same length.\")\n\n        split = None\n        current_node = self.root\n        for i in range(0, len(inputs)):\n            input_val = inputs[i]\n            output_val = outputs[i]\n            if input_val not in current_node.successors and split is None:\n                split = (inputs[:i], inputs[i:])\n            current_node = current_node.extend_and_get(input_val, output_val)\n        if split:\n            self.initial_OQs.append(split)\n\n    def apart_from_all(self, frontier_state):\n        \"\"\" \n        Checks if a frontier state is apart from all new basis states\n        \"\"\"\n        for basis_state in self.new_basis:\n            if not Apartness.states_are_apart(basis_state, frontier_state, self):\n                return False\n        return True\n\n    # Functions related to finding the combined model\n    \n    def add_ref_transitions_to_states(self, reference, reference_id):\n        \"\"\" \n        Makes a copy of the states of a reference with a unique state id and only transitions with the new input alphabet\n        \"\"\"\n        automaton_state = {'dfa': DfaState, 'mealy': MealyState, 'moore': MooreState}\n        states = [automaton_state[self.automaton_type](f\"s({reference_id},{ref_state})\")\n                  for ref_state in range(0, len(reference.states))]\n        for state_id in range(0, len(reference.states)):\n            if self.automaton_type == 'mealy':\n                states[state_id].output_fun = reference.states[state_id].output_fun\n            elif self.automaton_type == 'dfa':\n                states[state_id].is_accepting = reference.states[state_id].is_accepting\n            else:\n                states[state_id].output = reference.states[state_id].output\n            for inp in self.alphabet:\n                if inp in reference.get_input_alphabet():\n                    old_index = reference.states.index(\n                        reference.states[state_id].transitions[inp])\n                    states[state_id].transitions[inp] = states[old_index]\n        return states\n\n    def compute_prefix_map(self, reference, reference_id):\n        \"\"\" \n        Computes the prefixes of a reference model and stores them in a prefix map\n        \"\"\"\n        for state in reference.states:\n            state.prefix = reference.get_shortest_path(\n                reference.initial_state, state)\n        self.prefixes_map[reference_id] = [state.prefix for state in reference.states if state.prefix is not None]\n\n    def compute_characterization_map(self, reference, states):\n        \"\"\" \n        Computes the separating sequences of a reference model and stores them in a characterization map\n        \"\"\"\n        for state, ref_state in zip(states, reference.states):\n            all_sepseqs = state_characterization_set(reference, reference.get_input_alphabet(), ref_state)\n            unique_sepseqs = list(dict.fromkeys(all_sepseqs))\n            self.characterization_map[state] = unique_sepseqs\n\n    def get_combined_model(self):\n        \"\"\" \n        Builds a combined model from the reference models\n        Compute the prefix and characterization maps used during construction of the combined model\n        The resulting mealy machine may be partial\n        \"\"\"\n        automaton_class = {'dfa': Dfa, 'mealy': MealyMachine, 'moore': MooreMachine}\n        all_states = []\n        for reference_id in range(0, len(self.references)):\n            reference = self.references[reference_id]\n            overlap = [inp for inp in self.alphabet if inp in reference.get_input_alphabet()]\n            if not overlap:\n                print(\n                    f\"Warning: reference model {reference_id} has no common inputs and will not be used as a reference.\")\n                self.references.remove(reference)\n                reference_id -= 1\n                continue\n\n            states = self.add_ref_transitions_to_states(reference, reference_id)\n            all_states += states\n\n            self.compute_prefix_map(automaton_class[self.automaton_type](states[0], states), reference_id)\n            self.compute_characterization_map(reference, states)\n\n        if all_states == []:\n            print(f\"Warning: the references did not lead to any usable states, this could be due to empty models or no common inputs.\")\n            return None\n        else:\n            return automaton_class[self.automaton_type](all_states[0], all_states)\n"
  },
  {
    "path": "aalpy/learning_algs/adaptive/StateMatching.py",
    "content": "from abc import abstractmethod\n\n\nclass StateMatching:\n    def __init__(self, alphabet, combined_model):\n        \"\"\"\n        Initializes the super class for state matching\n         \"\"\"\n        self.alphabet = alphabet\n        self.combined_model = combined_model\n\n        self.matchings = {}  # map from basis states to reference states\n        self.best_match = {}\n        self.best_score = {}\n\n    @abstractmethod\n    def add_entry_basis(self, basis_state):\n        pass\n\n    @abstractmethod\n    def update_best_score(self, basis_state):\n        pass\n\n    @abstractmethod\n    def update_score(self, ob_tree, basis_state, reference_state, basis_state_access, defined_after_access, new_part):\n        pass\n\n    @abstractmethod\n    def update_best_match(self, basis_state, score):\n        pass\n\n    def initialize_matching(self, ob_tree):\n        \"\"\" \n        Initializes the matching by adding an entry for every basis state found during rebuilding \n        Updates the matching for the output queries posed during rebuilding\n        \"\"\"\n        for basis_state in ob_tree.basis:\n            self.add_entry_basis(basis_state, ob_tree.automaton_type)\n\n        for defined_part, new_part in ob_tree.initial_OQs:\n            to_recalc = []\n            for basis_state in ob_tree.basis:\n                if self.is_prefix_of(tuple(ob_tree.get_access_sequence(basis_state)), (defined_part + new_part)):\n                    to_recalc.append(basis_state)\n\n            self.update_matching(to_recalc, (defined_part, new_part), ob_tree)\n\n\n    def update_matching(self, to_recalc, split, ob_tree):\n        \"\"\" \n        Updates the matching for the to be recalculated basis states\n        The split contains the already defined part and the new part of an output query\n\n        For every basis state, we determine the defined part and new part AFTER accessing the basis state\n        Then for every reference model check if the defined part uses only inputs valid in the reference model\n        If these are all valid, we calculate the score of the new part\n        \"\"\"\n        defined_part, orig_new_part = split\n\n        for basis_state in to_recalc:\n            basis_state_access = ob_tree.get_access_sequence(basis_state)\n            defined_after_access = ()\n\n            new_part = orig_new_part\n            if len(defined_part) > len(basis_state_access):\n                defined_after_access = defined_part[len(basis_state_access):]\n            else:\n                new_part = (defined_part + orig_new_part)[len(basis_state_access):]\n\n            for reference_state in self.combined_model.states:\n                # defined_after_access contains invalid input for reference model, score remains 0\n                if self.validate_reference_input(defined_after_access, reference_state):\n                    self.update_score(ob_tree, basis_state, reference_state,\n                                      basis_state_access, defined_after_access, new_part)\n\n            score = self.update_best_score(basis_state)\n            self.update_best_match(basis_state, score)\n\n\n\n    def update_matching_basis(self, basis_state, ob_tree):\n        \"\"\" \n        Initializes and updates the matching for a newly added basis state\n        \"\"\"\n        self.add_entry_basis(basis_state, ob_tree.automaton_type)\n        longest_words = list(self.find_longest_words(basis_state, ob_tree, []))\n        basis_state_access = ob_tree.get_access_sequence(basis_state)\n\n        for i in range(0, len(longest_words)):\n            split = basis_state_access, longest_words[i][len(basis_state_access):]\n\n            if i > 0:\n                split = self.find_longest_common_part(longest_words[i-1], longest_words[i])\n\n            self.update_matching([basis_state], split, ob_tree)\n\n    def find_longest_words(self, current_state, ob_tree, all_seqs):\n        \"\"\" \n        Finds prefix closed words in the observation tree starting from the current state\n        DFS-like procedure\n        \"\"\"\n        leaf = True\n        for inp in self.alphabet:\n            if inp in current_state.successors:\n                new_seqs = self.find_longest_words(\n                    current_state.get_successor(inp), ob_tree, all_seqs)\n                for new_seq in new_seqs:\n                    if new_seq not in all_seqs:\n                        all_seqs.add(new_seq)\n                leaf = False\n        if leaf:\n            all_seqs.append(ob_tree.get_access_sequence(current_state))\n        return all_seqs\n\n    def validate_reference_input(self, inputs, reference_state):\n        \"\"\"\n        Check if all inputs are valid (part of the alphabet of the reference model)\n        \"\"\"\n        for input_val in inputs:\n            if input_val not in reference_state.transitions:\n                return False\n        return True\n\n    def is_prefix_of(self, str1, str2):\n        \"\"\" Checks if input sequence str1 is a prefix of str2 \"\"\"\n        if len(str1) > len(str2):\n            return False\n        for i in range(0, len(str1)):\n            if str2[i] != str1[i]:\n                return False\n        return True\n\n    def find_longest_common_part(self, str1, str2):\n        \"\"\" Finds the longest common prefix of input sequences str1 and str2 \"\"\"\n        so_far = []\n        for i in range(0, len(str2)):\n            if str2[i] == str1[i]:\n                so_far.append(str2[i])\n            else:\n                return tuple(so_far), tuple(str2[i:])\n        return tuple(so_far), tuple()\n\n    def print_match_table(self, ob_tree):\n        \"\"\"\n        Prints the match table\n        Code based on https://stackoverflow.com/questions/13214809/pretty-print-2d-list\n        \"\"\"\n        print(f\"Mapping of basis state ids to access sequences\")\n        for basis_state in ob_tree.basis:\n            print(f\"{basis_state.id}: {ob_tree.get_access_sequence(basis_state)}\")\n        first_row = [\"state\", \"|\", \"match\", \"|\", \"score\", \"|\"] + \\\n            [ref_state.state_id for ref_state in self.combined_model.states]\n        data = [first_row]\n        for basis_state in ob_tree.basis:\n            row = [basis_state.id, \"|\", [\n                st.state_id for st in self.best_match[basis_state]], \"|\", self.best_score[basis_state], \"|\"]\n            row += [sc for sc in self.matchings[basis_state].values()]\n            data.append(row)\n\n        s = [[str(e) for e in row] for row in data]\n        lens = [max(map(len, col)) for col in zip(*s)]\n        fmt = '\\t'.join('{{:{}}}'.format(x) for x in lens)\n        table = [fmt.format(*row) for row in s]\n        print('\\n'.join(table))\n\n\nclass TotalStateMatching(StateMatching):\n    \"\"\" \n    Total State Matching is an instance of State Matching\n\n    A basis and reference state match if all inputs sequences (over the shared alphabet) defined from the basis state \n    give EXACTLY the same outputs\n    \"\"\"\n\n    def __init__(self, alphabet, combined_model):\n        super().__init__(alphabet, combined_model)\n\n    def add_entry_basis(self, basis_state, aut_type):\n        \"\"\" Initializes a new matching row with 1 or empty word evaluation\"\"\"\n        if aut_type == 'mealy':\n            self.matchings[basis_state] = {ref_state: 1 for ref_state in self.combined_model.states}\n        else:\n            self.matchings[basis_state] = dict()\n            basis_out = basis_state.output \n            for ref_state in self.combined_model.states:\n                if aut_type == 'dfa':\n                    ref_out = ref_state.is_accepting\n                elif aut_type == 'moore':\n                    ref_out = ref_state.output\n                if ref_out == basis_out:\n                    self.matchings[basis_state][ref_state] = 1\n                else:\n                    self.matchings[basis_state][ref_state] = 0\n\n    def update_best_score(self, basis_state):\n        \"\"\" Updates the best score for a basis state \"\"\"\n        score = max([self.matchings[basis_state][ref_state] for ref_state in self.combined_model.states])\n        self.best_score[basis_state] = score\n        return score\n\n    def update_best_match(self, basis_state, score):\n        \"\"\" Updates the best match for a basis state \"\"\"\n        if score == 0:\n            self.best_match[basis_state] = []\n        else:\n            matches = []\n            for ref_state in self.combined_model.states:\n                if self.matchings[basis_state][ref_state] == score:\n                    matches.append(ref_state)\n\n            self.best_match[basis_state] = matches\n\n    def update_score(self, ob_tree, basis_state, reference_state, basis_state_access, defined_after_access, new_part):\n        # calls update score for either mealy or moore/dfa \n        if ob_tree.automaton_type == 'mealy':\n            return self.update_score_mealy(ob_tree, basis_state, reference_state, basis_state_access, defined_after_access, new_part)\n        else:\n            return self.update_score_moore(ob_tree, basis_state, reference_state, basis_state_access, defined_after_access, new_part)\n\n\n    def update_score_mealy(self, ob_tree, basis_state, reference_state, basis_state_access, defined_after_access, new_part):\n        \"\"\" \n        Updates the matching score for a basis and reference state based on the: \n            basis access, already defined part after access and the new part\n        For every input in the new part, we take a step in the ob_tree and in the combined model\n        If the combined model has no transition for some input (because it is not in the reference alphabet), we return\n        If the outputs differ, we set the matching to 0\n        \"\"\"\n        if self.matchings[basis_state][reference_state] == 0:\n            return\n\n        current_ob_state = ob_tree.get_successor(\n            tuple(basis_state_access) + tuple(defined_after_access))\n        self.combined_model.execute_sequence(\n            reference_state, defined_after_access)\n\n        for inp in new_part:\n            ob_out = current_ob_state.get_output(inp)\n            if inp not in reference_state.output_fun:\n                return\n\n            ref_out = self.combined_model.step(inp)\n            if ob_out != ref_out:\n                self.matchings[basis_state][reference_state] = 0\n                return\n            current_ob_state = current_ob_state.get_successor(inp)\n\n    def update_score_moore(self, ob_tree, basis_state, reference_state, basis_state_access, defined_after_access, new_part):\n        \"\"\" \n        Updates the matching score for a basis and reference state based on the: \n            basis access, already defined part after access and the new part\n        For every input in the new part, we take a step in the ob_tree and in the combined model\n        If the outputs differ, we set the matching to 0\n        \"\"\"\n        orig_ref = reference_state\n        if self.matchings[basis_state][reference_state] == 0:\n            return\n\n        current_ob_state = ob_tree.get_successor(\n            tuple(basis_state_access) + tuple(defined_after_access))\n        self.combined_model.execute_sequence(reference_state, defined_after_access)\n        reference_state = self.combined_model.current_state\n\n        # need to test the empty word\n        if defined_after_access == (): \n            if reference_state.is_accepting != current_ob_state.output:\n                self.matchings[basis_state][orig_ref] = 0\n                return\n\n        for inp in new_part:\n            if inp not in reference_state.transitions:\n                return\n            ref_out = self.combined_model.step(inp)\n            reference_state = self.combined_model.current_state\n\n            current_ob_state = current_ob_state.get_successor(inp)\n            ob_out = current_ob_state.output\n\n            if ob_out != ref_out:\n                self.matchings[basis_state][orig_ref] = 0\n                return\n\n\n\nclass ApproximateStateMatching(StateMatching):\n    \"\"\" \n    Approximate State Matching is an instance of State Matching\n\n    A basis matches a reference state if the reference state has the highest ratio of matching outputs over \n    all inputs sequences (over the shared alphabet) defined from the basis state compared to the other reference states\n    \"\"\"\n\n    def __init__(self, alphabet, combined_model):\n        super().__init__(alphabet, combined_model)\n        self.unmatched = set()\n\n    def add_entry_basis(self, basis_state, aut_type):\n        \"\"\" Initializes a new matching row with [0,0] or empty word evaluation \"\"\"\n        if aut_type == 'mealy':\n            self.matchings[basis_state] = {ref_state: [0, 0]\n                                        for ref_state in self.combined_model.states}\n        else:\n            self.matchings[basis_state] = dict()\n            basis_out = basis_state.output \n            for ref_state in self.combined_model.states:\n                if aut_type == 'dfa':\n                    ref_out = ref_state.is_accepting\n                elif aut_type == 'moore':\n                    ref_out = ref_state.output\n                if ref_out == basis_out:\n                    self.matchings[basis_state][ref_state] = [1,1]\n                else:\n                    self.matchings[basis_state][ref_state] = [0,1]\n\n    def get_score(self, basis_state, ref_state):\n        \"\"\" Gets the score for a basis and reference states \"\"\"\n        if self.matchings[basis_state][ref_state][1] == 0:\n            return 0\n        return self.matchings[basis_state][ref_state][0]/self.matchings[basis_state][ref_state][1]\n\n    def update_best_score(self, basis_state):\n        \"\"\" Updates the best score for a basis state \"\"\"\n        score = max([self.get_score(basis_state, ref_state)\n                    for ref_state in self.combined_model.states])\n        self.best_score[basis_state] = round(score, 2)\n        return score\n\n    def update_best_match(self, basis_state, score):\n        \"\"\" Updates the best match for a basis state \"\"\"\n        if score == 0:\n            self.best_match[basis_state] = []\n        else:\n            matches = []\n            for ref_state in self.combined_model.states:\n                if self.get_score(basis_state, ref_state) == score:\n                    matches.append(ref_state)\n\n            self.best_match[basis_state] = matches\n\n    def update_score(self, ob_tree, basis_state, reference_state, basis_state_access, defined_after_access, new_part):\n        # calls update score for either mealy or moore/dfa \n        if ob_tree.automaton_type == 'mealy':\n            return self.update_score_mealy(ob_tree, basis_state, reference_state, basis_state_access, defined_after_access, new_part)\n        else:\n            return self.update_score_moore(ob_tree, basis_state, reference_state, basis_state_access, defined_after_access, new_part)\n\n    def update_score_mealy(self, ob_tree, basis_state, reference_state, basis_state_access, defined_after_access, new_part):\n        \"\"\" \n        Updates the matching score for a basis and reference state based on the: \n            basis access, already defined part after access and the new part\n        For every input in the new part, we take a step in the ob_tree and in the combined model\n        If the combined model has no transition for some input (because it is not in the reference alphabet), we return\n        If the outputs are equivalent, we add [1,1]\n        If the outputs differ, we add [0,1]\n        \"\"\"\n        current_ob_state = ob_tree.get_successor(tuple(basis_state_access) + tuple(defined_after_access))\n\n        self.combined_model.execute_sequence(reference_state, defined_after_access)\n\n        for inp in new_part:\n            ob_out = current_ob_state.get_output(inp)\n            if inp not in self.combined_model.current_state.output_fun:\n                break\n\n            ref_out = self.combined_model.step(inp)\n            self.matchings[basis_state][reference_state][1] += 1\n            if ob_out == ref_out:\n                self.matchings[basis_state][reference_state][0] += 1\n            current_ob_state = current_ob_state.get_successor(inp)\n\n    def update_score_moore(self, ob_tree, basis_state, reference_state, basis_state_access, defined_after_access, new_part):\n        \"\"\" \n        Updates the matching score for a basis and reference state based on the: \n            basis access, already defined part after access and the new part\n        For every input in the new part, we take a step in the ob_tree and in the combined model\n        If the combined model has no transition for some input (because it is not in the reference alphabet), we return\n        If the outputs are equivalent, we add [1,1]\n        If the outputs differ, we add [0,1]\n        \"\"\"\n        orig_ref = reference_state\n        current_ob_state = ob_tree.get_successor(tuple(basis_state_access) + tuple(defined_after_access))\n        self.combined_model.execute_sequence(reference_state, defined_after_access)\n        reference_state = self.combined_model.current_state\n\n        for inp in new_part:\n            if inp not in reference_state.transitions:\n                return\n            ref_out = self.combined_model.step(inp)\n            reference_state = self.combined_model.current_state\n\n            current_ob_state = current_ob_state.get_successor(inp)\n            ob_out = current_ob_state.output\n\n            self.matchings[basis_state][orig_ref][1] += 1\n            if ob_out == ref_out:\n                self.matchings[basis_state][orig_ref][0] += 1\n"
  },
  {
    "path": "aalpy/learning_algs/adaptive/__init__.py",
    "content": ""
  },
  {
    "path": "aalpy/learning_algs/deterministic/ADS.py",
    "content": "from collections import defaultdict\n\n\nclass AdsNode:\n    __slots__ = ['input', 'children', 'score']\n\n    def __init__(self, input_val=None, children=None, score=0):\n        self.input = input_val\n        self.children = children if children else {}\n        self.score = score\n\n    @staticmethod\n    def create_leaf():\n        return AdsNode()\n\n    def get_input(self):\n        return self.input\n\n    def get_child_node(self, output):\n        if output in self.children:\n            return self.children[output]\n        return None\n\n    def get_score(self):\n        return self.score\n\n\nclass Ads:\n    def __init__(self, ob_tree, current_block):\n        self.initial_node = self.construct_ads(ob_tree, current_block)\n        self.current_node = self.initial_node\n\n    def get_score(self):\n        return self.initial_node.get_score()\n\n    def construct_ads(self, ob_tree, current_block):\n        # Builds the ADS tree recursively by selecting optimal inputs for splitting states\n        # For DFA/Moore we have to consider the output for the empty word\n        if ob_tree.automaton_type == 'mealy':\n            return self.construct_ads_rec(ob_tree, current_block)\n        else:\n            if len(current_block) == 1:\n                return AdsNode.create_leaf()\n\n            # if none of the nodes in the current block have a successor, we cannot decide a next input\n            if not any([True for node in current_block if node.successors is not None]):\n                raise RuntimeError(\"No input available during ADS computation\")\n\n            input = tuple()\n            empty_part = self.partition_on_output_empty(current_block, ob_tree.automaton_type)\n            u_i = sum(len(part) for part in empty_part.values())\n            score = 0\n            children = {}\n\n            for output, partition in empty_part.items():\n                output_score, subtree = self.compute_output_subtree(ob_tree, partition, u_i) \n                score += output_score\n                children[output] = subtree\n\n            return AdsNode(input, children, score)\n\n    def construct_ads_rec(self, ob_tree, current_block):\n        # Builds the ADS tree recursively by selecting optimal inputs for splitting states\n        if len(current_block) == 1:\n            return AdsNode.create_leaf()\n\n        # If none of the nodes in the current block have a successor, we cannot decide a next input\n        if not any([True for node in current_block if node.successors is not None]):\n            raise RuntimeError(\"No input available during ADS computation\")\n\n        best_input, best_score = self.maximal_base_input(ob_tree.alphabet, current_block, ob_tree.automaton_type)\n        best_children = None\n\n        # The maximal apartness pairs is len(current block) - 1, for any current block, immediately return\n        if best_score == len(current_block) - 1:\n            return AdsNode(best_input, best_children, best_score)\n\n        for input_val in ob_tree.alphabet:\n            input_partitions = self.partition_on_output(current_block, input_val, ob_tree.automaton_type)\n            u_i = sum(len(part) for part in input_partitions.values())\n            input_score = 0\n            children = {}\n\n            for output, partition in input_partitions.items():\n                output_score, subtree = self.compute_output_subtree(ob_tree, partition, u_i) \n                input_score += output_score\n                children[output] = subtree\n\n            if input_score > best_score:\n                best_score = input_score\n                best_input = input_val\n                best_children = children\n            if best_score == len(current_block) - 1:\n                return AdsNode(best_input, best_children, best_score)\n\n        if best_input is None:\n            raise RuntimeError(\"Error during ADS construction\")\n\n        return AdsNode(best_input, best_children, best_score)\n\n    # def make_subtree(self, ob_tree, sub_trees, partition):\n    #     # Constructs a subtree for a partition and calculates its score\n    #     partition_size = len(partition)\n    #     child_score = self.construct_ads_rec(ob_tree, partition).get_score()\n    #     return self.compute_reg_score(partition_size, sub_trees, child_score)\n\n    def compute_output_subtree(self, ob_tree, partition, u_i):\n        # Computes and scores a subtree for a specific output partition\n        output_subtree = self.construct_ads_rec(ob_tree, partition)\n        output_score = self.compute_score(len(partition), u_i, output_subtree.get_score())\n        return output_score, output_subtree\n\n    def compute_score(self, u_io, u_i, child_score):\n        # Calculates a score based on partition size and subtree characteristics\n        return (u_io * (u_i - u_io + child_score)) / u_i\n\n    def partition_on_output_empty(self, block, automaton_type):\n        # Partitions states in the block based on their output for the empty word\n        # Only use during the initial call\n        partition = defaultdict(list)\n        for node in block:\n            output = node.output\n            partition[output].append(node)\n        return partition\n\n    def partition_on_output(self, block, input_val, automaton_type):\n        # Partitions states in the block based on their output for a given input\n        partition = defaultdict(list)\n        for node in block:\n            if automaton_type == 'mealy':\n                output = node.get_output(input_val)\n                if output is not None:\n                    successor = node.get_successor(input_val)\n                    if successor is not None:\n                        partition[output].append(successor)\n            else:\n                successor = node.get_successor(input_val)\n                if successor is not None:\n                    output = successor.output \n                    if output is not None:\n                        partition[output].append(successor)\n        return partition\n\n    def next_input(self, prev_output):\n        # Returns the next input based on the previous output and updates the current node\n        if prev_output is not None:\n            child = self.current_node.get_child_node(prev_output)\n            if child is None:\n                return None\n            self.current_node = child\n        return self.current_node.get_input()\n\n    def maximal_base_input(self, alphabet, block, automaton_type):\n        # Identifies the input with the highest ability to split the state block based on apartness\n        # Does not use the recursive part of the formula\n        best_input = alphabet[0]\n        best_score = 0\n\n        for input_val in alphabet:\n            partition = self.partition_on_output(block, input_val, automaton_type)\n            u_i = sum(len(part) for part in partition.values())\n            score = 0\n\n            for part in partition.values():\n                u_io = len(part)\n                output_score = (u_io * (u_i - u_io)) / u_i\n                score += output_score\n\n            if score > best_score:\n                best_score = score\n                best_input = input_val\n\n        return best_input, best_score\n\n    def reset_to_root(self):\n        # Resets the current ADS node to the initial root node\n        self.current_node = self.initial_node"
  },
  {
    "path": "aalpy/learning_algs/deterministic/Apartness.py",
    "content": "from collections import deque\n\n\nclass Apartness:\n    @staticmethod\n    def compute_witness(state1, state2, ob_tree):\n        # Finds a distinguishing sequence between two states if they are apart based on the observation tree\n        if ob_tree.automaton_type == 'mealy':\n            state1_destination = Apartness._show_states_are_apart_mealy(\n                state1, state2, ob_tree.alphabet)\n        else:\n            state1_destination = Apartness._show_states_are_apart_moore(\n                state1, state2, ob_tree.alphabet)\n        if not state1_destination:\n            return\n        return ob_tree.get_transfer_sequence(state1, state1_destination)\n\n    @staticmethod\n    def states_are_apart(state1, state2, ob_tree):\n        # Checks if two states are apart by checking any output difference in the observation tree\n        if ob_tree.automaton_type == 'mealy':\n            return Apartness._show_states_are_apart_mealy(state1, state2, ob_tree.alphabet) is not None\n        else:\n            return Apartness._show_states_are_apart_moore(state1, state2, ob_tree.alphabet) is not None\n\n    @staticmethod\n    def _show_states_are_apart_mealy(first, second, alphabet):\n        # Identifies if two states can be distinguished by any input-output pair in the provided alphabet\n        pairs = deque([(first, second)])\n\n        while pairs:\n            first_node, second_node = pairs.popleft()\n            for input_val in alphabet:\n                first_output = first_node.get_output(input_val)\n                second_output = second_node.get_output(input_val)\n\n                if first_output is not None and second_output is not None:\n                    if first_output != second_output:\n                        return first_node.get_successor(input_val)\n\n                    pairs.append((first_node.get_successor(\n                        input_val), second_node.get_successor(input_val)))\n\n        return None\n\n    @staticmethod\n    def _show_states_are_apart_moore(first, second, alphabet):\n        # Identifies if two states can be distinguished by any input-output pair in the provided alphabet\n        pairs = deque([(first, second)])\n\n        while pairs:\n            first_node, second_node = pairs.popleft()\n            if first_node is not None and second_node is not None:\n                first_output = first_node.output\n                second_output = second_node.output\n                if first_output != second_output:\n                    return first_node\n\n                for input_val in alphabet:\n                    pairs.append((first_node.get_successor(\n                        input_val), second_node.get_successor(input_val)))\n\n        return None\n\n    @staticmethod\n    def compute_witness_in_tree_and_hypothesis_states(ob_tree, ob_tree_state, hyp_state):\n        \"\"\"\n        Determines if the observation tree and the hypothesis are distinguishable based on their state outputs\n        \"\"\"\n        if ob_tree.automaton_type == 'mealy':\n            return Apartness.compute_witness_in_tree_and_hypothesis_states_mealy(ob_tree, ob_tree_state, hyp_state)\n        else:\n            return Apartness.compute_witness_in_tree_and_hypothesis_states_moore(ob_tree, ob_tree_state, hyp_state)\n\n    @staticmethod\n    def compute_witness_in_tree_and_hypothesis_states_mealy(ob_tree, ob_tree_state, hyp_state):\n        \"\"\"\n        Determines if the observation tree and the hypothesis are distinguishable based on their state outputs\n        \"\"\"\n        pairs = deque([(ob_tree_state, hyp_state)])\n\n        while pairs:\n            tree_state, hyp_state = pairs.popleft()\n\n            for input_val in ob_tree.alphabet:\n                tree_output = tree_state.get_output(input_val)\n\n                if tree_output is not None and input_val in hyp_state.output_fun:\n                    hyp_output = hyp_state.output_fun[input_val]\n                    if tree_output != hyp_output:\n                        tree_dest = tree_state.get_successor(input_val)\n                        return ob_tree.get_transfer_sequence(ob_tree_state, tree_dest)\n\n                    pairs.append((tree_state.get_successor(\n                        input_val), hyp_state.transitions[input_val]))\n\n        return None\n\n    @staticmethod\n    def compute_witness_in_tree_and_hypothesis_states_moore(ob_tree, ob_tree_state, hyp_state):\n        \"\"\"\n        Determines if the observation tree and the hypothesis are distinguishable based on their state outputs\n        \"\"\"\n        pairs = deque([(ob_tree_state, hyp_state)])\n\n        while pairs:\n            tree_state, hyp_state = pairs.popleft()\n            if (tree_state is not None) and (hyp_state is not None):\n                tree_output = tree_state.output\n                if ob_tree.automaton_type == 'dfa':\n                    hyp_output = hyp_state.is_accepting\n                else:\n                    hyp_output = hyp_state.output\n\n                if tree_output != hyp_output:\n                    return ob_tree.get_transfer_sequence(ob_tree_state, tree_state)\n\n                for input_val in ob_tree.alphabet:\n                    if input_val in hyp_state.transitions:\n                        pairs.append((tree_state.get_successor(\n                            input_val), hyp_state.transitions[input_val]))\n\n        return None\n"
  },
  {
    "path": "aalpy/learning_algs/deterministic/ClassificationTree.py",
    "content": "from collections import defaultdict\nfrom itertools import product\nfrom typing import Union\n\nfrom aalpy.automata import DfaState, Dfa, MealyState, MealyMachine, MooreState, MooreMachine, \\\n    SevpaAlphabet, SevpaState, SevpaTransition, Sevpa\nfrom aalpy.base import SUL\nfrom aalpy.learning_algs.deterministic.CounterExampleProcessing import rs_cex_processing, linear_cex_processing, \\\n    exponential_cex_processing\n\nautomaton_class = {'dfa': Dfa, 'mealy': MealyMachine, 'moore': MooreMachine}\n\n\nclass CTNode:\n    __slots__ = ['parent', 'path_to_node']\n\n    def __init__(self, parent, path_to_node):\n        self.parent = parent\n        self.path_to_node = path_to_node\n\n    def is_leaf(self):\n        pass\n\n\nclass CTInternalNode(CTNode):\n    __slots__ = ['distinguishing_string', 'children']\n\n    def __init__(self, distinguishing_string: tuple, parent, path_to_node):\n        super().__init__(parent, path_to_node)\n        self.distinguishing_string = distinguishing_string\n        self.children = defaultdict(None)  # {True: None, False: None}\n\n    def is_leaf(self):\n        return False\n\n\nclass CTLeafNode(CTNode):\n    __slots__ = ['access_string']\n\n    def __init__(self, access_string: tuple, parent, path_to_node):\n        super().__init__(parent, path_to_node)\n        self.access_string = access_string\n\n    def __repr__(self):\n        return f\"{self.__class__.__name__} '{self.access_string}'\"\n\n    @property\n    def output(self):\n        c, p = self, self.parent\n        while p.parent:\n            c = p\n            p = p.parent\n        for output, child in p.children.items():\n            if child == c:\n                return output\n        assert False\n\n    def is_leaf(self):\n        return True\n\n\nclass ClassificationTree:\n    def __init__(self, alphabet: Union[list, SevpaAlphabet], sul: SUL, automaton_type: str, cex: tuple):\n        self.sul = sul\n        self.alphabet = alphabet\n        self.automaton_type = automaton_type\n\n        self.leaf_nodes = {}\n\n        self.initial_state = None\n        self.hypothesis_states = {}\n\n        # prefix of identified error state in VPDA learning\n        self.error_state_prefix = None\n\n        if self.automaton_type != 'mealy':\n            initial_output = sul.query(())[-1]\n            cex_output = sul.query(cex)[-1]\n\n            root_distinguishing_string = () if automaton_type != 'vpa' else ([(), ()])\n\n            self.root = CTInternalNode(distinguishing_string=root_distinguishing_string, parent=None, path_to_node=None)\n\n            initial_output_node = CTLeafNode(access_string=tuple(), parent=self.root, path_to_node=initial_output)\n            cex_output_node = CTLeafNode(access_string=cex, parent=self.root, path_to_node=cex_output)\n\n            self.root.children[initial_output] = initial_output_node\n            self.root.children[cex_output] = cex_output_node\n\n            self.leaf_nodes[tuple()] = initial_output_node\n            self.leaf_nodes[cex] = cex_output_node\n\n        else:\n            self.root = CTInternalNode(distinguishing_string=(cex[-1],), parent=None, path_to_node=None)\n\n            hypothesis_output = sul.query((cex[-1],))[-1]\n            cex_output = sul.query(cex)[-1]\n\n            hypothesis_output_node = CTLeafNode(access_string=tuple(), parent=self.root, path_to_node=hypothesis_output)\n            cex_output_node = CTLeafNode(access_string=cex[:-1], parent=self.root, path_to_node=cex_output)\n\n            self.root.children[hypothesis_output] = hypothesis_output_node\n            self.root.children[cex_output] = cex_output_node\n\n            self.leaf_nodes[tuple()] = self.root.children[hypothesis_output]\n            self.leaf_nodes[cex[:-1]] = self.root.children[cex_output]\n\n        self.new_states = list(self.leaf_nodes.values())\n        self.transitions_to_update = []\n\n    def _sift(self, word):\n        \"\"\"\n        Sifting a word into the classification tree.\n        Starting at the root, at every inner node (a CTInternalNode),\n        we branch into the child, depending on the result of the\n        membership query (word * node.distinguishing_string). Repeated until a leaf\n        (a CTLeafNode) is reached, which is the result of the sifting.\n\n        Args:\n\n            word: the word to sift into the discrimination tree (a tuple of all letters)\n\n        Returns:\n\n            the CTLeafNode that is reached by the sifting operation.\n        \"\"\"\n\n        node = self.root\n        while not node.is_leaf():\n\n            if self.automaton_type != 'vpa':\n                query = word + node.distinguishing_string\n            else:\n                query = node.distinguishing_string[0] + word + node.distinguishing_string[1]\n\n            mq_result = self.sul.query(query)[-1]\n\n            if mq_result not in node.children.keys():\n                new_leaf = CTLeafNode(access_string=word, parent=node, path_to_node=mq_result)\n                self.leaf_nodes[word] = new_leaf\n                node.children[mq_result] = new_leaf\n\n            node = node.children[mq_result]\n\n        assert node.is_leaf()\n        return node\n\n    def update_hypothesis(self):\n        # for each CTLeafNode of this CT,\n        # create a state in the hypothesis that is labeled by that\n        # node's access string. The start state is the empty word\n        state_counter = len(self.hypothesis_states.values())\n        while self.new_states:\n            node = self.new_states.pop(0)\n\n            if self.automaton_type == 'dfa':\n                new_state = DfaState(state_id=f's{state_counter}', is_accepting=node.output)\n            elif self.automaton_type == 'moore':\n                new_state = MooreState(state_id=f's{state_counter}', output=node.output)\n            elif self.automaton_type == 'vpa':\n                new_state = SevpaState(state_id=f'q{state_counter}', is_accepting=node.output)\n            else:\n                new_state = MealyState(state_id=f's{state_counter}')\n\n            new_state.prefix = node.access_string\n            if new_state.prefix == ():\n                self.initial_state = new_state\n\n            self.hypothesis_states[new_state.prefix] = new_state\n\n            if self.automaton_type != 'vpa':\n                self.transitions_to_update.extend(product([new_state], self.alphabet))\n            else:\n                self.transitions_to_update.extend(product([new_state], self.alphabet.internal_alphabet))\n                self.transitions_to_update.extend(product([new_state], self.alphabet.call_alphabet))\n\n            state_counter += 1\n\n        assert self.initial_state is not None\n\n        # For each access state s of the hypothesis and each letter b in the\n        # alphabet, compute the b-transition out of state s by sifting s.state_id*b\n        while self.transitions_to_update:\n            state, input_element = self.transitions_to_update.pop(0)\n\n            if self.automaton_type != 'vpa':\n\n                transition_target_node = self._sift(state.prefix + (input_element,))\n                transition_target_access_string = transition_target_node.access_string\n\n                if self.automaton_type != \"dfa\" and transition_target_access_string not in self.hypothesis_states:\n                    if self.automaton_type == 'mealy':\n                        new_state = MealyState(state_id=f's{state_counter}')\n                    else:\n                        output = self.sul.query(transition_target_access_string)[-1]\n                        new_state = MooreState(state_id=f's{state_counter}', output=output)\n\n                    new_state.prefix = transition_target_access_string\n                    self.hypothesis_states[new_state.prefix] = new_state\n                    self.transitions_to_update.extend(product([new_state], self.alphabet))\n                    state_counter += 1\n\n                state.transitions[input_element] = self.hypothesis_states[transition_target_access_string]\n\n                if self.automaton_type == \"mealy\":\n                    state.output_fun[input_element] = self.sul.query(state.prefix + (input_element,))[-1]\n            else:\n                # internal transitions\n                if input_element in self.alphabet.internal_alphabet:\n                    transition_target_node = self._sift(state.prefix + (input_element,))\n                    transition_target_access_string = transition_target_node.access_string\n\n                    assert transition_target_access_string in self.hypothesis_states\n                    trans = SevpaTransition(target=self.hypothesis_states[transition_target_access_string],\n                                            letter=input_element, action=None)\n                    state.transitions[input_element].append(trans)\n\n                #  call transitions\n                elif input_element in self.alphabet.call_alphabet:\n                    # Add return transitions\n                    for return_letter in self.alphabet.return_alphabet:\n                        # check if exclusive pairs of call and return letters are defined in an alphabets\n                        if self.alphabet.exclusive_call_return_pairs and \\\n                                self.alphabet.exclusive_call_return_pairs[input_element] != return_letter:\n                            continue\n\n                        for other_state in self.hypothesis_states.values():\n                            # ignore other state if other state is error state\n                            if other_state.prefix == self.error_state_prefix:\n                                continue\n                            transition_target_node = self._sift(\n                                other_state.prefix + (input_element,) + state.prefix + (return_letter,))\n                            transition_target_access_string = transition_target_node.access_string\n\n                            trans = SevpaTransition(target=self.hypothesis_states[transition_target_access_string],\n                                                    letter=return_letter,\n                                                    action='pop', stack_guard=(other_state.state_id, input_element))\n                            state.transitions[return_letter].append(trans)\n\n        if self.automaton_type == 'vpa':\n            hypothesis = Sevpa(initial_state=self.initial_state, states=list(self.hypothesis_states.values()))\n            if not self.error_state_prefix:\n                error_state = hypothesis.get_error_state()\n                if error_state:\n                    self.error_state_prefix = error_state.prefix\n            return hypothesis\n\n        return automaton_class[self.automaton_type](initial_state=self.initial_state,\n                                                    states=list(self.hypothesis_states.values()))\n\n    def _least_common_ancestor(self, node_1_id, node_2_id):\n        \"\"\"\n        Find the distinguishing string of the least common ancestor\n        of the leaf nodes node_1 and node_2. Both nodes have to exist.\n        Adapted from https://www.geeksforgeeks.org/lowest-common-ancestor-binary-tree-set-1/\n\n        Args:\n\n            node_1_id: first leaf node's id\n            node_2_id: second leaf node's id\n\n        Returns:\n\n            the distinguishing string of the lca\n\n        \"\"\"\n\n        def ancestor(parent, node):\n            for child in parent.children.values():\n                if child.is_leaf():\n                    if child.access_string == node:\n                        return True\n                else:\n                    next_ancestor = ancestor(child, node)\n                    if next_ancestor:\n                        return True\n            return False\n\n        def findLCA(n1_id, n2_id):\n            node = self.leaf_nodes[n1_id]\n            parent = node.parent\n            while parent:\n                if ancestor(parent, n2_id):\n                    return parent\n                if parent.parent:\n                    parent = parent.parent\n                else:\n                    return parent\n            return None\n\n        return findLCA(node_1_id, node_2_id).distinguishing_string\n\n    def update(self, cex: tuple, hypothesis):\n        \"\"\"\n        Updates the classification tree based on a counterexample.\n        - For each prefix cex[:i] of the counterexample, get\n              s_i      = self.sift(cex[:i])    and\n              s_star_i = id of the state with the access sequence cex[:i]\n                         in the hypothesis\n          and let j be the least i such that s_i != s_star_i.\n        - Replace the CTLeafNode labeled with the access string of the state\n          that is reached by the sequence cex[:j-1] in the hypothesis\n          with an CTInternalNode with two CTLeafNodes: one keeps the old\n          access string, and one gets the new access string cex[:j-1].\n          The internal node is labeled with the distinguishing string (cex[j-1],*d),\n          where d is the distinguishing string of the LCA of s_i and s_star_i.\n\n        Args:\n            cex: the counterexample used to update the tree\n            hypothesis: the former (wrong) hypothesis\n\n        \"\"\"\n        j = d = None\n        for i in range(1, len(cex) + 1):\n            s_i = self._sift(cex[:i]).access_string\n            hypothesis.execute_sequence(hypothesis.initial_state, cex[:i])\n            s_star_i = hypothesis.current_state.prefix\n\n            if s_i != s_star_i:\n                j = i\n                d = self._least_common_ancestor(s_i, s_star_i)\n                break\n        if j is None and d is None:\n            j = len(cex)\n            d = []\n        assert j is not None and d is not None\n\n        hypothesis.execute_sequence(hypothesis.initial_state, cex[:j - 1] or tuple())\n\n        self._insert_new_leaf(discriminator=(cex[j - 1], *d),\n                              old_leaf_access_string=hypothesis.current_state.prefix,\n                              new_leaf_access_string=tuple(cex[:j - 1]) or tuple(),\n                              new_leaf_position=self.sul.query((*cex[:j - 1], *(cex[j - 1], *d)))[-1])\n\n    def process_counterexample(self, cex: tuple, hypothesis, cex_processing_fun):\n        \"\"\"\n        Updates the classification tree based on a counterexample,\n        using Rivest & Schapire counterexample processing\n        - Replace the CTLeafNode labeled with the access string of the state\n          that is reached by the sequence cex[:j-1] in the hypothesis\n          with an CTInternalNode with two CTLeafNodes: one keeps the old\n          access string, and one gets the new access string cex[:j-1].\n          The internal node is labeled with the distinguishing string (cex[j-1],*d),\n          where d is the distinguishing string of the LCA of s_i and s_star_i.\n\n        Args:\n            cex: the counterexample used to update the tree\n            hypothesis: the former (wrong) hypothesis\n            cex_processing_fun: string choosing which cex_processing to use\n\n        \"\"\"\n        v = None\n        if 'linear' in cex_processing_fun:\n            direction = cex_processing_fun[-3:]\n            v = linear_cex_processing(self.sul, cex, hypothesis, is_vpa=self.automaton_type == 'vpa',\n                                      direction=direction, suffix_closedness=False)[0]\n        elif 'exponential' in cex_processing_fun:\n            direction = cex_processing_fun[-3:]\n            v = exponential_cex_processing(self.sul, cex, hypothesis, is_vpa=self.automaton_type == 'vpa',\n                                           direction=direction, suffix_closedness=False)[0]\n        elif cex_processing_fun == 'rs':\n            v = rs_cex_processing(self.sul, cex, hypothesis, is_vpa=self.automaton_type == 'vpa',\n                                  suffix_closedness=False)[0]\n\n        assert v\n        a = cex[len(cex) - len(v) - 1]\n        u = cex[:len(cex) - len(v) - 1]\n        assert (*u, a, *v) == cex\n\n        hypothesis.execute_sequence(hypothesis.initial_state, u)\n        u_state = hypothesis.current_state\n\n        top_of_stack = hypothesis.stack[-1] if self.automaton_type == 'vpa' else None\n\n        # get state reached after executing last action => old leaf\n        hypothesis.step(a)\n        ua_state = hypothesis.current_state\n\n        # get discriminator and new_leaf_access_string\n        if self.automaton_type == 'vpa':\n            discriminator = (tuple(hypothesis.transform_access_string()), tuple(v))\n\n            if a in self.alphabet.internal_alphabet:\n                new_leaf_access_string = (*u_state.prefix, a)\n            else:\n                assert a in self.alphabet.return_alphabet\n                l_prime, call = hypothesis.get_state_by_id(top_of_stack[0]), top_of_stack[1]\n                new_leaf_access_string = l_prime.prefix + (call,) + u_state.prefix + (a,)\n        else:\n            discriminator = v\n            new_leaf_access_string = (*u_state.prefix, a)\n\n        if self.automaton_type == 'dfa' or self.automaton_type == 'vpa':\n            new_leaf_position = not hypothesis.execute_sequence(hypothesis.initial_state, cex)[-1]\n        else:\n            new_leaf_position = self.sul.query(cex)[-1]\n\n        self._insert_new_leaf(discriminator=discriminator,\n                              old_leaf_access_string=ua_state.prefix,\n                              new_leaf_access_string=new_leaf_access_string,\n                              new_leaf_position=new_leaf_position)\n\n    def _insert_new_leaf(self, discriminator, old_leaf_access_string, new_leaf_access_string, new_leaf_position):\n        \"\"\"\n        Inserts a new leaf in the classification tree by:\n        - moving the leaf node specified by <old_leaf_access_string> down one level\n        - inserting an internal node  at the former position of the old node (i.e. as the parent of the old node)\n        - adding a new leaf node with <new_leaf_access_string> as child of the new internal node/sibling of the old node\n        Could also be thought of as 'splitting' the old node into two (one of which keeps the old access string and one\n        of which gets the new one) with <discriminator> as the distinguishing string between the two.\n\n        where one of the resulting nodes keeps the old\n        node's access string and the other gets new_leaf_access_string.\n        Args:\n            discriminator: The distinguishing string of the new internal node\n            old_leaf_access_string: The access string specifying the leaf node to be 'split' (or rather moved down)\n            new_leaf_access_string: The access string of the leaf node that will be created\n            new_leaf_position: The path from the new internal node to the new leaf node\n\n        Returns:\n\n        \"\"\"\n        if self.automaton_type == \"dfa\" or self.automaton_type == 'vpa':\n            other_leaf_position = not new_leaf_position\n        else:\n            # check if this query is in the node cache\n            other_leaf_position = self.sul.query((*old_leaf_access_string, *discriminator))[-1]\n\n        old_leaf = self.leaf_nodes[old_leaf_access_string]\n\n        # create an internal node at the same position as the old leaf node\n        discriminator_node = CTInternalNode(distinguishing_string=discriminator,\n                                            parent=old_leaf.parent, path_to_node=old_leaf.path_to_node)\n\n        # create the new leaf node and add it as child of the internal node\n        new_leaf = CTLeafNode(access_string=new_leaf_access_string,\n                              parent=discriminator_node,\n                              path_to_node=new_leaf_position)\n        self.leaf_nodes[new_leaf_access_string] = new_leaf\n\n        # redirect the old nodes former parent to the internal node\n        old_leaf.parent.children[old_leaf.path_to_node] = discriminator_node\n\n        # add the internal node as parent of the old leaf\n        old_leaf.parent = discriminator_node\n        old_leaf.path_to_node = other_leaf_position\n\n        # set the two nodes as children of the internal node\n        discriminator_node.children[new_leaf_position] = new_leaf\n        discriminator_node.children[other_leaf_position] = old_leaf\n\n        # sifting cache update\n        self.new_states.append(new_leaf)\n\n        if self.automaton_type != 'vpa':\n            for state in self.hypothesis_states.values():\n                for inp, destination in state.transitions.items():\n                    if old_leaf_access_string == destination.prefix:\n                        self.transitions_to_update.append((state, inp))\n        else:\n            for state in self.hypothesis_states.values():\n                state.transitions.clear()\n                self.transitions_to_update.extend(product([state], self.alphabet.internal_alphabet))\n                self.transitions_to_update.extend(product([state], self.alphabet.call_alphabet))\n"
  },
  {
    "path": "aalpy/learning_algs/deterministic/CounterExampleProcessing.py",
    "content": "from aalpy.base import SUL\nfrom aalpy.utils.HelperFunctions import all_suffixes, all_prefixes\n\n\ndef counterexample_successfully_processed(sul, cex, hypothesis):\n    cex_outputs = sul.query(cex)\n    hyp_outputs = hypothesis.execute_sequence(hypothesis.initial_state, cex)\n    return cex_outputs[-1] == hyp_outputs[-1]\n\n\ndef longest_prefix_cex_processing(s_union_s_dot_a: list, cex: tuple, closedness='suffix'):\n    \"\"\"\n    Suffix processing strategy found in Shahbaz-Groz paper 'Inferring Mealy Machines'.\n    It splits the counterexample into prefix and suffix. The prefix is the longest element of the S union S.A that\n    matches the beginning of the counterexample. By removing such prefixes from counterexample, no consistency check\n    is needed.\n\n    Args:\n\n        s_union_s_dot_a: list of all prefixes found in observation table sorted from shortest to longest\n        cex: counterexample\n        closedness: either 'suffix' or 'prefix'. (Default value = 'suffix')\n        s_union_s_dot_a: list:\n        cex: tuple: counterexample\n\n    Returns:\n\n        suffixes to add to the E set\n\n    \"\"\"\n    prefixes = s_union_s_dot_a\n    prefixes.reverse()\n    trimmed_suffix = None\n\n    for p in prefixes:\n        if p == cex[:len(p)]:\n            trimmed_suffix = cex[len(p):]\n            break\n\n    trimmed_suffix = trimmed_suffix if trimmed_suffix else cex\n    suffixes = all_suffixes(trimmed_suffix) if closedness == 'suffix' else all_prefixes(trimmed_suffix)\n    suffixes.reverse()\n    return suffixes\n\n\ndef rs_cex_processing(sul: SUL, cex: tuple, hypothesis, suffix_closedness=True, closedness='suffix',\n                      is_vpa=False, lower=None, upper=None):\n    \"\"\"\n    Rivest-Schapire counter example processing.\n\n    Args:\n\n        sul: system under learning\n        cex: found counterexample\n        hypothesis: hypothesis on which counterexample was found\n        suffix_closedness: If true all suffixes will be added, else just one (Default value = True)\n        closedness: either 'suffix' or 'prefix'. (Default value = 'suffix')\n        sul: SUL: system under learning\n        cex: tuple: counterexample\n        is_vpa: system under learning behaves as a context free language\n        upper: upper boarder for cex (from preprocessing), None will set it to 1\n        lower: lower boarder for cex (from preprocessing), None will set it to  len(cex_input) - 2\n\n    Returns:\n\n        suffixes to be added to the E set\n\n    \"\"\"\n    cex_out = sul.query(cex)\n    cex_input = list(cex)\n\n    lower = 1 if lower is None else lower\n    upper = len(cex_input) - 2 if upper is None else upper\n\n    while True:\n        hypothesis.reset_to_initial()\n        mid = (lower + upper) // 2\n\n        # arr[:n] -> first n values\n        # arr[n:] -> last n values\n\n        for s_p in cex_input[:mid]:\n            hypothesis.step(s_p)\n\n        if not is_vpa:\n            s_bracket = hypothesis.current_state.prefix\n        else:\n            s_bracket = tuple(hypothesis.transform_access_string(hypothesis.current_state))\n\n        d = tuple(cex_input[mid:])\n        mq = sul.query(s_bracket + d)\n\n        if mq[-1] == cex_out[-1]:  # only check if the last element is the same as the cex\n            lower = mid + 1\n            if upper < lower:\n                suffix = d[1:]\n                break\n        else:\n            upper = mid - 1\n            if upper < lower:\n                suffix = d\n                break\n\n    if suffix_closedness:\n        suffixes = all_suffixes(suffix) if closedness == 'suffix' else all_prefixes(suffix)\n        suffixes.reverse()\n        suffix_to_query = suffixes\n    else:\n        suffix_to_query = [suffix]\n    return suffix_to_query\n\n\ndef linear_cex_processing(sul: SUL, cex: tuple, hypothesis, suffix_closedness=True, closedness='suffix',\n                          direction='fwd', is_vpa=False):\n    assert direction in {'fwd', 'bwd'}\n\n    direction = 'fwd'\n\n    distinguishing_suffix = None\n    previous_output = None\n\n    for i in range(0, len(cex)):\n        bp = i if direction == 'fwd' else -i - 1\n        prefix = cex[:bp]\n        suffix = cex[bp:]\n        assert cex == prefix + suffix\n\n        hypothesis.reset_to_initial()\n        hypothesis.execute_sequence(hypothesis.initial_state, prefix)\n\n        if not is_vpa:\n            s_bracket = hypothesis.current_state.prefix\n        else:\n            s_bracket = tuple(hypothesis.transform_access_string(hypothesis.current_state))\n\n        sul_out = sul.query(s_bracket + suffix)[-1]\n\n        if previous_output is None:\n            previous_output = sul_out\n            continue\n\n        if sul_out != previous_output:\n            distinguishing_suffix = suffix if direction == 'fwd' else cex[bp + 1:]\n            break\n\n        previous_output = sul_out\n\n    assert distinguishing_suffix\n    if suffix_closedness:\n        suffixes = all_suffixes(distinguishing_suffix) if closedness == 'suffix' else all_prefixes(\n            distinguishing_suffix)\n        suffixes.reverse()\n        suffix_to_query = suffixes\n    else:\n        suffix_to_query = [distinguishing_suffix]\n\n    return suffix_to_query\n\n\ndef exponential_cex_processing(sul: SUL, cex: tuple, hypothesis, suffix_closedness=True, closedness='suffix',\n                               direction='fwd', is_vpa=False):\n    assert direction in {'fwd', 'bwd'}\n\n    cex_out = sul.query(cex)\n\n    bwd_subtrahend = 1\n    if direction == 'fwd':\n        bp_recent = 0\n        bp = 1\n    else:\n        bp_recent = len(cex)\n        bp = len(cex)-1\n\n    suffix = None\n    while True:\n        if direction == 'fwd':\n            if bp >= len(cex):\n                bp = len(cex)\n                break\n        else:\n            if bp <= 1:\n                bp = 1\n                break\n\n        prefix = cex[:bp]\n        suffix = cex[bp:]\n        assert cex == prefix + suffix\n\n        hypothesis.reset_to_initial()\n        hypothesis.execute_sequence(hypothesis.initial_state, prefix)\n\n        if not is_vpa:\n            s_bracket = hypothesis.current_state.prefix\n        else:\n            s_bracket = tuple(hypothesis.transform_access_string(hypothesis.current_state))\n\n        sul_out = sul.query(s_bracket + suffix)\n\n        if sul_out[-1] != cex_out[-1] and direction == 'fwd':\n            break\n        elif sul_out[-1] == cex_out[-1] and direction == 'bwd':\n            break\n\n        bp_recent = bp\n        if direction == 'fwd':\n            bp *= 2\n        else:\n            bp -= bwd_subtrahend\n            bwd_subtrahend *= 2\n\n    if (bp - bp_recent) == 1:\n        return [suffix]\n    else:\n        if direction == 'fwd':\n            return rs_cex_processing(sul, cex, hypothesis, suffix_closedness, closedness, is_vpa, lower=bp_recent)\n        else:\n            return rs_cex_processing(sul, cex, hypothesis, suffix_closedness, closedness, is_vpa, upper=bp_recent)\n\n\n"
  },
  {
    "path": "aalpy/learning_algs/deterministic/KV.py",
    "content": "import time\nfrom typing import Union\n\nfrom aalpy.automata import Dfa, DfaState, MealyState, MealyMachine, MooreState, MooreMachine, \\\n    Sevpa, SevpaState, SevpaAlphabet\nfrom aalpy.base import Oracle, SUL\nfrom aalpy.utils.HelperFunctions import print_learning_info, visualize_classification_tree\nfrom .ClassificationTree import ClassificationTree\nfrom .CounterExampleProcessing import counterexample_successfully_processed\nfrom ...base.SUL import CacheSUL\n\nprint_options = [0, 1, 2, 3]\ncounterexample_processing_strategy = ['rs', 'linear_fwd', 'linear_bwd', 'exponential_fwd', 'exponential_bwd']\nautomaton_class = {'dfa': Dfa, 'mealy': MealyMachine, 'moore': MooreMachine, 'vpa': Sevpa}\n\n\ndef run_KV(alphabet: Union[list, SevpaAlphabet], sul: SUL, eq_oracle: Oracle, automaton_type, cex_processing='rs',\n           max_learning_rounds=None, cache_and_non_det_check=True, return_data=False, print_level=2):\n    \"\"\"\n    Executes the KV algorithm.\n\n    Args:\n\n        alphabet: input alphabet\n\n        sul: system under learning\n\n        eq_oracle: equivalence oracle\n\n        automaton_type: type of automaton to be learned. One of 'dfa', 'mealy', 'moore', 'vpa'\n\n        cex_processing: Counterexample processing strategy. Either 'rs' (Rivest-Schapire), 'longest_prefix'.\n            (Default value = 'rs'), 'longest_prefix', 'linear_fwd', 'linear_bwd', 'exponential_fwd', 'exponential_bwd'\n\n        max_learning_rounds: number of learning rounds after which learning will terminate (Default value = None)\n\n        cache_and_non_det_check: Use caching and non-determinism checks (Default value = True)\n\n        return_data: if True, a map containing all information(runtime/#queries/#steps) will be returned\n            (Default value = False)\n\n        print_level: 0 - None, 1 - just results, 2 - current round and hypothesis size, 3 - educational/debug\n            (Default value = 2)\n\n\n    Returns:\n\n        automaton of type automaton_type (dict containing all information about learning if 'return_data' is True)\n\n    \"\"\"\n\n    assert print_level in print_options\n    assert cex_processing in counterexample_processing_strategy\n    assert automaton_type in [*automaton_class]\n    assert automaton_type != 'vpa' and isinstance(alphabet, list) or isinstance(alphabet, SevpaAlphabet)\n\n    start_time = time.time()\n    eq_query_time = 0\n    learning_rounds = 0\n\n    if cache_and_non_det_check:\n        # Wrap the sul in the CacheSUL, so that all steps/queries are cached\n        sul = CacheSUL(sul)\n        eq_oracle.sul = sul\n\n    if automaton_type != 'mealy':\n        # Do a membership query on the empty string to determine whether\n        # the start state of the SUL is accepting or rejecting\n        empty_string_mq = sul.query(tuple())[-1]\n\n        # Construct a hypothesis automaton that consists simply of this\n        # single (accepting or rejecting) state with self-loops for\n        # all transitions.\n        if automaton_type == 'dfa':\n            initial_state = DfaState(state_id='q0', is_accepting=empty_string_mq)\n        elif automaton_type == 'moore':\n            initial_state = MooreState(state_id='q0', output=empty_string_mq)\n        else:\n            initial_state = SevpaState(state_id='q0', is_accepting=empty_string_mq)\n    else:\n        initial_state = MealyState(state_id='q0')\n\n    initial_state.prefix = tuple()\n\n    if automaton_type != 'vpa':\n        for a in alphabet:\n            initial_state.transitions[a] = initial_state\n            if automaton_type == 'mealy':\n                initial_state.output_fun[a] = sul.query((a,))[-1]\n\n    if automaton_type != 'vpa':\n        hypothesis = automaton_class[automaton_type](initial_state, [initial_state])\n    else:\n        hypothesis = Sevpa.create_daisy_hypothesis(initial_state, alphabet)\n\n    # Perform an equivalence query on this automaton\n    eq_query_start = time.time()\n    cex = eq_oracle.find_cex(hypothesis)\n\n    eq_query_time += time.time() - eq_query_start\n\n    classification_tree = None\n    if cex is not None:\n        cex = tuple(cex)\n\n        # initialise the classification tree to have a root\n        # labeled with the empty word as the distinguishing string\n        # and two leaves labeled with access strings cex and empty word\n        classification_tree = ClassificationTree(alphabet=alphabet, sul=sul, automaton_type=automaton_type, cex=cex)\n\n        while True:\n            learning_rounds += 1\n            if max_learning_rounds and learning_rounds - 1 == max_learning_rounds:\n                break\n\n            hypothesis = classification_tree.update_hypothesis()\n\n            if print_level == 2:\n                print(f'\\rHypothesis {learning_rounds}: {hypothesis.size} states.', end=\"\")\n\n            if print_level == 3:\n                # would be nice to have an option to print classification tree\n                print(f'Hypothesis {learning_rounds}: {hypothesis.size} states.')\n\n            if counterexample_successfully_processed(sul, cex, hypothesis):\n                # Perform an equivalence query on this automaton\n                eq_query_start = time.time()\n                cex = eq_oracle.find_cex(hypothesis)\n                eq_query_time += time.time() - eq_query_start\n\n                if cex is None:\n                    break\n                else:\n                    cex = tuple(cex)\n\n                if print_level == 3:\n                    print('Counterexample', cex)\n\n            classification_tree.process_counterexample(cex, hypothesis, cex_processing)\n\n    if automaton_type == 'vpa':\n        hypothesis.delete_state(hypothesis.get_error_state())\n\n    total_time = round(time.time() - start_time, 2)\n    eq_query_time = round(eq_query_time, 2)\n    learning_time = round(total_time - eq_query_time, 2)\n\n    info = {\n        'learning_rounds': learning_rounds,\n        'automaton_size': hypothesis.size,\n        'queries_learning': sul.num_queries,\n        'steps_learning': sul.num_steps,\n        'queries_eq_oracle': eq_oracle.num_queries,\n        'steps_eq_oracle': eq_oracle.num_steps,\n        'learning_time': learning_time,\n        'eq_oracle_time': eq_query_time,\n        'total_time': total_time,\n        'cache_saved': sul.num_cached_queries,\n    }\n\n    if print_level > 0:\n        if print_level == 2:\n            print(\"\")\n        print_learning_info(info)\n\n        if print_level == 3 and classification_tree:\n            print('Visualization of classification tree saved to classification_tree.pdf')\n            visualize_classification_tree(classification_tree.root)\n\n    if return_data:\n        return hypothesis, info\n\n    return hypothesis\n"
  },
  {
    "path": "aalpy/learning_algs/deterministic/LSharp.py",
    "content": "import time\n\nfrom aalpy.base import Oracle, SUL\nfrom aalpy.utils.HelperFunctions import print_learning_info\nfrom .ObservationTree import ObservationTree\nfrom ...base.SUL import CacheSUL\n\n\ndef run_Lsharp(alphabet: list, sul: SUL, eq_oracle: Oracle, automaton_type,\n               extension_rule='SepSeq', separation_rule=\"ADS\", samples=None,\n               max_learning_rounds=None, cache_and_non_det_check=True, return_data=False, print_level=2):\n    \"\"\"\n    Based on ''A New Approach for Active Automata Learning Based on Apartness'' from Vaandrager, Garhewal, Rot and Wissmann. \n    and ''L# for DFAs'' from Vaandrager, Sanders.\n\n    The algorithm learns a DFA/Moore machine/Mealy machine using apartness and an observation tree. \n\n    Args:\n\n        alphabet: input alphabet\n\n        sul: system under learning\n\n        eq_oracle: equivalence oracle\n\n        automaton_type: type of automaton to be learned. Either 'dfa', 'mealy' or 'moore'\n\n        extension_rule: strategy used during the extension rule. Options: None, \"SepSeq\" (default) and \"ADS\".\n\n        separation_rule: strategy used during the extension rule. Options: \"SepSeq\" (default) and \"ADS\".\n\n        samples: input output traces provided to the learning algorithm. They are added to cache and could reduce\n        total interaction with the system. Syntax: list of [(input_sequence, output_sequence)] or None\n\n        max_learning_rounds: number of learning rounds after which learning will terminate (Default value = None)\n\n        cache_and_non_det_check: Use caching and non-determinism checks (Default value = True)\n\n        return_data: if True, a map containing all information(runtime/#queries/#steps) will be returned\n            (Default value = False)\n\n        print_level: 0 - None, 1 - just results, 2 - current round and hypothesis size, 3 - educational/debug\n            (Default value = 2)\n\n    Returns:\n\n        automaton of type automaton_type (dict containing all information about learning if 'return_data' is True)\n\n    \"\"\"\n    assert extension_rule in {None, \"SepSeq\", \"ADS\"}\n    assert separation_rule in {\"SepSeq\", \"ADS\"}\n\n    if cache_and_non_det_check or samples is not None:\n        # Wrap the sul in the CacheSUL, so that all steps/queries are cached\n        sul = CacheSUL(sul)\n        eq_oracle.sul = sul\n\n        if samples:\n            for input_seq, output_seq in samples:\n                sul.cache.add_to_cache(input_seq, output_seq)\n\n    ob_tree = ObservationTree(alphabet, sul, automaton_type, extension_rule, separation_rule)\n    start_time = time.time()\n\n    eq_query_time = 0\n    learning_rounds = 0\n    hypothesis = None\n\n    while True:\n        learning_rounds += 1\n        if max_learning_rounds and learning_rounds == max_learning_rounds:\n            break\n\n        # Building the hypothesis\n        hypothesis = ob_tree.build_hypothesis()\n\n        if print_level > 1:\n            print(f'Hypothesis {learning_rounds}: {hypothesis.size} states.')\n        if print_level == 3:\n            print(hypothesis)\n\n        # Pose Equivalence Query\n        eq_query_start = time.time()\n        cex = eq_oracle.find_cex(hypothesis)\n        eq_query_time += time.time() - eq_query_start\n\n        if print_level > 2:\n            print(f'Counterexample: {cex}')\n\n        if cex is None:\n            break\n\n        # Process the counterexample and start a new learning round\n        cex_outputs = sul.query(cex)\n        ob_tree.process_counter_example(hypothesis, cex, cex_outputs)\n\n    total_time = round(time.time() - start_time, 2)\n    eq_query_time = round(eq_query_time, 2)\n    learning_time = round(total_time - eq_query_time, 2)\n\n    info = {\n        'learning_rounds': learning_rounds,\n        'automaton_size': hypothesis.size,\n        'queries_learning': sul.num_queries,\n        'steps_learning': sul.num_steps,\n        'queries_eq_oracle': eq_oracle.num_queries,\n        'steps_eq_oracle': eq_oracle.num_steps,\n        'learning_time': learning_time,\n        'eq_oracle_time': eq_query_time,\n        'total_time': total_time,\n        'cache_saved': sul.num_cached_queries,\n    }\n\n    if print_level > 0:\n        print_learning_info(info)\n\n    if return_data:\n        return hypothesis, info\n\n    return hypothesis\n"
  },
  {
    "path": "aalpy/learning_algs/deterministic/LStar.py",
    "content": "import time\n\nfrom aalpy.base import Oracle, SUL\nfrom aalpy.utils.HelperFunctions import extend_set, print_learning_info, print_observation_table, all_prefixes\nfrom .CounterExampleProcessing import longest_prefix_cex_processing, rs_cex_processing, \\\n    counterexample_successfully_processed, linear_cex_processing, exponential_cex_processing\nfrom .ObservationTable import ObservationTable\nfrom ...base.SUL import CacheSUL\n\ncounterexample_processing_strategy = [None, 'rs', 'longest_prefix', 'linear_fwd', 'linear_bwd', 'exponential_fwd',\n                                      'exponential_bwd']\nclosedness_options = ['suffix_all', 'suffix_single']\nprint_options = [0, 1, 2, 3]\n\n\ndef run_Lstar(alphabet: list, sul: SUL, eq_oracle: Oracle, automaton_type, samples=None,\n              closing_strategy='shortest_first', cex_processing='rs',\n              e_set_suffix_closed=False, all_prefixes_in_obs_table=True,\n              max_learning_rounds=None, cache_and_non_det_check=True, return_data=False, print_level=2):\n    \"\"\"\n    Executes L* algorithm.\n\n    Args:\n\n        alphabet: input alphabet\n\n        sul: system under learning\n\n        eq_oracle: equivalence oracle\n\n        automaton_type: type of automaton to be learned. Either 'dfa', 'mealy' or 'moore'.\n\n        samples: input output traces provided to the learning algorithm. They are added to cache and could reduce\n        total interaction with the system. Syntax: list of [(input_sequence, output_sequence)] or None\n\n        closing_strategy: closing strategy used in the close method. Either 'longest_first', 'shortest_first' or\n            'single' (Default value = 'shortest_first')\n\n        cex_processing: Counterexample processing strategy. Either None, 'rs' (Rivest-Schapire), 'longest_prefix'.\n            (Default value = 'rs'), 'longest_prefix', 'linear_fwd', 'linear_bwd', 'exponential_fwd', 'exponential_bwd'\n\n        e_set_suffix_closed: True option ensures that E set is suffix closed,\n            False adds just a single suffix per counterexample.\n\n        all_prefixes_in_obs_table: if True, entries of observation table will contain the whole output of the whole\n            suffix, otherwise just the last output meaning that all prefixes of the suffix will be added.\n            If False, just a single suffix will be added.\n\n        max_learning_rounds: number of learning rounds after which learning will terminate (Default value = None)\n\n        cache_and_non_det_check: Use caching and non-determinism checks (Default value = True)\n\n        return_data: if True, a map containing all information(runtime/#queries/#steps) will be returned\n            (Default value = False)\n\n        print_level: 0 - None, 1 - just results, 2 - current round and hypothesis size, 3 - educational/debug\n            (Default value = 2)\n\n    Returns:\n\n        automaton of type automaton_type (dict containing all information about learning if 'return_data' is True)\n\n    \"\"\"\n\n    assert cex_processing in counterexample_processing_strategy\n    assert print_level in print_options\n\n    if cache_and_non_det_check or samples is not None:\n        # Wrap the sul in the CacheSUL, so that all steps/queries are cached\n        sul = CacheSUL(sul)\n        eq_oracle.sul = sul\n\n        if samples:\n            for input_seq, output_seq in samples:\n                sul.cache.add_to_cache(input_seq, output_seq)\n\n    start_time = time.time()\n    eq_query_time = 0\n    learning_rounds = 0\n    hypothesis = None\n\n    observation_table = ObservationTable(alphabet, sul, automaton_type, all_prefixes_in_obs_table)\n\n    # Initial update of observation table, for empty row\n    observation_table.update_obs_table()\n    cex = None\n\n    while True:\n        if max_learning_rounds and learning_rounds == max_learning_rounds:\n            break\n\n        # Make observation table consistent (iff there is no counterexample processing)\n        if not cex_processing:\n            inconsistent_rows = observation_table.get_causes_of_inconsistency()\n            while inconsistent_rows is not None:\n                added_suffix = extend_set(observation_table.E, inconsistent_rows)\n                observation_table.update_obs_table(e_set=added_suffix)\n                inconsistent_rows = observation_table.get_causes_of_inconsistency()\n\n        # Close observation table\n        rows_to_close = observation_table.get_rows_to_close(closing_strategy)\n        while rows_to_close is not None:\n            rows_to_query = []\n            for row in rows_to_close:\n                observation_table.S.append(row)\n                rows_to_query.extend([row + (a,) for a in alphabet])\n            observation_table.update_obs_table(s_set=rows_to_query)\n            rows_to_close = observation_table.get_rows_to_close(closing_strategy)\n\n        # Generate hypothesis\n        hypothesis = observation_table.gen_hypothesis(no_cex_processing_used=cex_processing is None)\n        # Find counterexample if none has previously been found (first round) and cex is successfully processed\n        # (not a counterexample in the current hypothesis)\n        if cex is None or counterexample_successfully_processed(sul, cex, hypothesis):\n            learning_rounds += 1\n\n            if print_level > 1:\n                print(f'Hypothesis {learning_rounds}: {len(hypothesis.states)} states.')\n\n            if print_level == 3:\n                print_observation_table(observation_table, 'det')\n\n            eq_query_start = time.time()\n            cex = eq_oracle.find_cex(hypothesis)\n            eq_query_time += time.time() - eq_query_start\n\n        # If no counterexample is found, return the hypothesis\n        if cex is None:\n            break\n\n        # make sure counterexample is a tuple in case oracle returns a list\n        cex = tuple(cex)\n\n        if print_level == 3:\n            print('Counterexample', cex)\n\n        # Process counterexample and ask membership queries\n        if not cex_processing:\n            s_to_update = []\n            added_rows = extend_set(observation_table.S, all_prefixes(cex))\n            s_to_update.extend(added_rows)\n            for p in added_rows:\n                s_to_update.extend([p + (a,) for a in alphabet])\n\n            observation_table.update_obs_table(s_set=s_to_update)\n            continue\n\n        elif cex_processing == 'longest_prefix':\n            cex_suffixes = longest_prefix_cex_processing(observation_table.S + list(observation_table.s_dot_a()),\n                                                         cex, closedness='suffix')\n        elif cex_processing == 'rs':\n            cex_suffixes = rs_cex_processing(sul, cex, hypothesis, e_set_suffix_closed, closedness='suffix')\n        else:\n            direction = cex_processing[-3:]\n            if 'linear' in cex_processing:\n                cex_suffixes = linear_cex_processing(sul, cex, hypothesis, e_set_suffix_closed,\n                                                     direction=direction, closedness='suffix')\n            else:\n                cex_suffixes = exponential_cex_processing(sul, cex, hypothesis, e_set_suffix_closed,\n                                                          direction=direction, closedness='suffix')\n\n        added_suffixes = extend_set(observation_table.E, cex_suffixes)\n        observation_table.update_obs_table(e_set=added_suffixes)\n\n    total_time = round(time.time() - start_time, 2)\n    eq_query_time = round(eq_query_time, 2)\n    learning_time = round(total_time - eq_query_time, 2)\n\n    info = {\n        'learning_rounds': learning_rounds,\n        'automaton_size': hypothesis.size,\n        'queries_learning': sul.num_queries,\n        'steps_learning': sul.num_steps,\n        'queries_eq_oracle': eq_oracle.num_queries,\n        'steps_eq_oracle': eq_oracle.num_steps,\n        'learning_time': learning_time,\n        'eq_oracle_time': eq_query_time,\n        'total_time': total_time,\n        'characterization_set': observation_table.E\n    }\n    if cache_and_non_det_check:\n        info['cache_saved'] = sul.num_cached_queries\n\n    if print_level > 0:\n        print_learning_info(info)\n\n    if return_data:\n        return hypothesis, info\n\n    return hypothesis\n"
  },
  {
    "path": "aalpy/learning_algs/deterministic/ObservationTable.py",
    "content": "from collections import defaultdict\n\nfrom aalpy.base import Automaton, SUL\nfrom aalpy.automata import Dfa, DfaState, MealyState, MealyMachine, MooreMachine, MooreState\n\naut_type = ['dfa', 'mealy', 'moore']\nclosing_options = ['shortest_first', 'longest_first', 'single', 'single_longest']\n\n\nclass ObservationTable:\n    def __init__(self, alphabet: list, sul: SUL, automaton_type, prefixes_in_cell=False):\n        \"\"\"\n        Constructor of the observation table. Initial queries are asked in the constructor.\n\n        Args:\n\n            alphabet: input alphabet\n            sul: system under learning\n            automaton_type: automaton type, one of ['dfa', 'mealy', 'moore']\n\n        Returns:\n\n        \"\"\"\n        assert automaton_type in aut_type\n        assert alphabet is not None and sul is not None\n        self.automaton_type = automaton_type\n\n        # If True add prefixes of each element of E set to a cell, else only add the output\n        self.prefixes_in_cell = prefixes_in_cell\n\n        self.A = [tuple([a]) for a in alphabet]\n        self.S = list()  # prefixes of S\n        # DFA's can also take whole alphabet in E, this convention follows Angluin's paper\n        self.E = [] if self.automaton_type != 'mealy' else [tuple([a]) for a in alphabet]\n        # For performance reasons, the T function maps S to a tuple where element at index i is the element of the E\n        # set of index i. Therefore it is important to keep E set ordered and ask membership queries only when needed\n        # and in correct order. It would make more sense to implement it as a defaultdict(dict) where you can access\n        # elements via self.T[s][e], but it causes significant performance hit.\n        self.T = defaultdict(tuple)\n\n        self.sul = sul\n        empty_word = tuple()\n        self.S.append(empty_word)\n\n        # DFAs and Moore machines use empty word for identification of accepting states/state outputs\n        if self.automaton_type == 'dfa' or self.automaton_type == 'moore':\n            self.E.insert(0, empty_word)\n\n    def get_rows_to_close(self, closing_strategy='longest_first'):\n        \"\"\"\n        Get rows for that need to be closed. Row selection is done according to closing_strategy.\n        The length of the row is defined by the length of the prefix corresponding to the row in the S set.\n        longest_first -> get all rows that need to be closed and ask membership queries for the longest row first\n        shortest_first -> get all rows that need to be closed and ask membership queries for the shortest row first\n        single -> find and ask membership query for the single row\n        single_longest -> returns single longest row to close\n\n        Args:\n\n            closing_strategy: one of ['shortest_first', 'longest_first', 'single'] (Default value = 'longest_first')\n\n        Returns:\n\n            list if non-closed exist, None otherwise: rows that will be moved to S set and closed\n\n        \"\"\"\n        assert closing_strategy in closing_options\n        rows_to_close = []\n        row_values = set()\n\n        s_rows = {self.T[s] for s in self.S}\n\n        for t in self.s_dot_a():\n            row_t = self.T[t]\n            if row_t not in s_rows and row_t not in row_values:\n                rows_to_close.append(t)\n                row_values.add(row_t)\n\n                if closing_strategy == 'single':\n                    return rows_to_close\n\n        if not rows_to_close:\n            return None\n\n        if 'longest' in closing_strategy:\n            rows_to_close.sort(key=len, reverse=True)\n            if closing_strategy == 'longest_first':\n                return rows_to_close\n            if closing_strategy == 'single_longest':\n                return [rows_to_close[0]]\n\n        return rows_to_close\n\n    def get_causes_of_inconsistency(self):\n        \"\"\"\n        If the two rows in the S set are the same, but their one letter extensions are not, this method founds\n        the cause of inconsistency and returns it.\n        :return:\n\n        Returns:\n\n            a+e values that are the causes of inconsistency\n\n        \"\"\"\n        for i, s1 in enumerate(self.S):\n            for s2 in self.S[i + 1:]:\n                if self.T[s1] == self.T[s2]:\n                    for a in self.A:\n                        if self.T[s1 + a] != self.T[s2 + a]:\n                            for index, e in enumerate(self.E):\n                                if self.T[s1 + a][index] != self.T[s2 + a][index]:\n                                    return [(a + e)]\n\n        return None\n\n    def s_dot_a(self):\n        \"\"\"\n        Helper generator function that returns extended S, or S.A set.\n        \"\"\"\n        s_set = set(self.S)\n        for s in self.S:\n            for a in self.A:\n                if s + a not in s_set:\n                    yield s + a\n\n    def update_obs_table(self, s_set: list = None, e_set: list = None):\n        \"\"\"\n        Perform the membership queries.\n\n        Args:\n\n            s_set: Prefixes of S set on which to preform membership queries. If None, then whole S set will be used.\n\n            e_set: Suffixes of E set on which to perform membership queries. If None, then whole E set will be used.\n\n        Returns:\n\n        \"\"\"\n\n        update_S = s_set if s_set else list(self.S) + list(self.s_dot_a())\n        update_E = e_set if e_set else self.E\n\n        # This could save few queries\n        update_S.reverse()\n\n        for s in update_S:\n            for e in update_E:\n                if len(self.T[s]) != len(self.E):\n                    output = tuple(self.sul.query(s + e))\n                    if self.prefixes_in_cell and len(e) > 1:\n                        obs_table_entry = tuple([output[-len(e):]],)\n                    else:\n                        obs_table_entry = (output[-1],)\n                    self.T[s] += obs_table_entry\n\n    def gen_hypothesis(self, no_cex_processing_used=False) -> Automaton:\n        \"\"\"\n        Generate automaton based on the values found in the observation table.\n        :return:\n\n        Args:\n\n            check_for_duplicate_rows:  (Default value = False)\n\n        Returns:\n\n            Automaton of type `automaton_type`\n\n        \"\"\"\n        state_distinguish = dict()\n        states_dict = dict()\n        initial_state = None\n        automaton_class = {'dfa': Dfa, 'mealy': MealyMachine, 'moore': MooreMachine}\n\n        s_set = self.S\n        # Added check for the algorithm without counterexample processing\n        if no_cex_processing_used:\n            s_set = self._get_row_representatives()\n\n        # create states based on S set\n        stateCounter = 0\n        for prefix in s_set:\n            state_id = f's{stateCounter}'\n\n            if self.automaton_type == 'dfa':\n                states_dict[prefix] = DfaState(state_id)\n                states_dict[prefix].is_accepting = self.T[prefix][0]\n            elif self.automaton_type == 'moore':\n                states_dict[prefix] = MooreState(state_id, output=self.T[prefix][0])\n            else:\n                states_dict[prefix] = MealyState(state_id)\n\n            states_dict[prefix].prefix = prefix\n            state_distinguish[tuple(self.T[prefix])] = states_dict[prefix]\n\n            if not prefix:\n                initial_state = states_dict[prefix]\n            stateCounter += 1\n\n        # add transitions based on extended S set\n        for prefix in s_set:\n            for a in self.A:\n                state_in_S = state_distinguish[self.T[prefix + a]]\n                states_dict[prefix].transitions[a[0]] = state_in_S\n                if self.automaton_type == 'mealy':\n                    states_dict[prefix].output_fun[a[0]] = self.T[prefix][self.E.index(a)]\n\n        automaton = automaton_class[self.automaton_type](initial_state, list(states_dict.values()))\n        automaton.characterization_set = self.E\n\n        return automaton\n\n    def _get_row_representatives(self):\n        self.S.sort(key=len)\n        representatives = defaultdict(list)\n        for prefix in self.S:\n            representatives[self.T[prefix]].append(prefix)\n\n        return [r[0] for r in representatives.values()]\n"
  },
  {
    "path": "aalpy/learning_algs/deterministic/ObservationTree.py",
    "content": "from .ADS import Ads\nfrom .Apartness import Apartness\nfrom ... import Dfa, DfaState, MealyState, MealyMachine, MooreMachine, MooreState\n\naut_type = ['dfa', 'mealy', 'moore']\n\nclass MooreNode:\n    _id_counter = 0\n    __slots__ = ['id', 'output', 'successors', 'parent', 'input_to_parent']\n\n    def __init__(self, parent=None):\n        MooreNode._id_counter += 1\n        self.id = MooreNode._id_counter\n        self.output = None\n        self.successors = {}\n        self.parent = parent\n        self.input_to_parent = None\n\n    def __hash__(self):\n        return hash(self.id)\n\n    def add_successor(self, input_val, output_val, successor_node):\n        \"\"\" Adds a successor node to the current node based on input \"\"\"\n        self.successors[input_val] = successor_node\n        self.successors[input_val].output = output_val\n\n    def get_successor(self, input_val):\n        \"\"\" Returns the successor node for the given input \"\"\"\n        if input_val in self.successors:\n            return self.successors[input_val]\n        return None\n\n    def extend_and_get(self, inp, output):\n        \"\"\" Extend the node with a new successor and return the successor node \"\"\"\n        if inp in self.successors:\n            return self.successors[inp]\n        successor_node = MooreNode(parent=self)\n        self.add_successor(inp, output, successor_node)\n        successor_node.input_to_parent = inp\n        return successor_node\n\n    @property\n    def id_counter(self):\n        return self._id_counter\n\n\nclass MealyNode:\n    _id_counter = 0\n    __slots__ = ['id', 'successors', 'parent', 'input_to_parent']\n\n    def __init__(self, parent=None):\n        MealyNode._id_counter += 1\n        self.id = MealyNode._id_counter\n        self.successors = {}\n        self.parent = parent\n        self.input_to_parent = None\n\n    def __hash__(self):\n        return hash(self.id)\n\n    def add_successor(self, input_val, output_val, successor_node):\n        \"\"\" Adds a successor node to the current node based on input \"\"\"\n        self.successors[input_val] = (output_val, successor_node)\n\n    def get_successor(self, input_val):\n        \"\"\" Returns the successor node for the given input \"\"\"\n        if input_val in self.successors:\n            return self.successors[input_val][1]\n        return None\n\n    def get_output(self, input_val):\n        \"\"\" Returns the output for the given input \"\"\"\n        if input_val in self.successors:\n            return self.successors[input_val][0]\n        return None\n\n    def extend_and_get(self, inp, output):\n        \"\"\" Extend the node with a new successor and return the successor node \"\"\"\n        if inp in self.successors:\n            out = self.successors[inp][0]\n            if out != output:\n                raise Exception(\n                    f\"observation not consistent with tree with output from tree: {out} and output from call: {output}\")\n            return self.successors[inp][1]\n        successor_node = MealyNode(parent=self)\n        self.add_successor(inp, output, successor_node)\n        successor_node.input_to_parent = inp\n        return successor_node\n\n    @property\n    def id_counter(self):\n        return self._id_counter\n\n\nclass ObservationTree:\n    def __init__(self, alphabet, sul, automaton_type, extension_rule, separation_rule):\n        \"\"\"\n        Initialize the tree with a root node and the alphabet\n        \"\"\"\n        assert automaton_type in aut_type\n        assert alphabet is not None and sul is not None\n\n        self.automaton_type = automaton_type\n        self.alphabet = alphabet\n        self.sul = sul\n        self.extension_rule = extension_rule\n        self.separation_rule = separation_rule\n\n        if self.automaton_type == 'mealy':\n            self.root = MealyNode()\n        else:\n            self.root = MooreNode()\n            # initialize MooreNode with empty word output\n            self.root.output = self.sul.query([])[0]\n\n        self.basis = []\n        self.basis.append(self.root)\n        self.frontier_to_basis_dict = {}\n\n        # Caches the separating sequences between basis states\n        self.witness_cache = {}\n        # Maps the basis states to hypothesis states\n        self.states_dict = dict()\n\n    def insert_observation(self, inputs, outputs):\n        # Insert an observation into the tree using sequences of inputs and outputs\n        if len(inputs) != len(outputs):\n            raise ValueError(\"Inputs and outputs must have the same length.\")\n\n        current_node = self.root\n        for input_val, output_val in zip(inputs, outputs):\n            current_node = current_node.extend_and_get(input_val, output_val)\n\n    def get_observation(self, inputs):\n        # Retrieve the list of outputs based on a given input sequence\n        current_node = self.root\n        observation = []\n        for input_val in inputs:\n            if self.automaton_type == 'mealy':\n                output = current_node.get_output(input_val)\n                current_node = current_node.get_successor(input_val)\n            else:\n                current_node = current_node.get_successor(input_val)\n                output = current_node.output\n            if output is None:\n                return None\n            observation.append(output)\n        return observation\n\n    def get_outputs(self, basis_state, inputs):\n        # Retrieve the list of outputs based on a basis state and a given input sequence\n        prefix = self.get_transfer_sequence(self.root, basis_state)\n        current_node = self.get_successor(prefix)\n        observation = []\n        for input_val in inputs:\n            if self.automaton_type == 'mealy':\n                output = current_node.get_output(input_val)\n            else:\n                output = current_node.output\n            if output is None:\n                return None\n            observation.append(output)\n            current_node = current_node.get_successor(input_val)\n\n        return observation\n\n    def get_successor(self, inputs):\n        # Retrieve the node (subtree) corresponding to the given input sequence\n        current_node = self.root\n        for input_val in inputs:\n            successor_node = current_node.get_successor(input_val)\n            if successor_node is None:\n                return None\n            current_node = successor_node\n\n        return current_node\n\n    def get_transfer_sequence(self, from_node, to_node):\n        # Get the transfer sequence (inputs) that moves from one node to another\n        transfer_sequence = []\n        current_node = to_node\n\n        while current_node != from_node:\n            if current_node.parent is None:\n                return None\n            transfer_sequence.append(current_node.input_to_parent)\n            current_node = current_node.parent\n\n        transfer_sequence.reverse()\n        return transfer_sequence\n\n    def get_access_sequence(self, to_node):\n        # Get the transfer sequence (inputs) that moves from one node to another\n        transfer_sequence = []\n        current_node = to_node\n\n        while current_node != self.root:\n            if current_node.parent is None:\n                return None\n            transfer_sequence.append(current_node.input_to_parent)\n            current_node = current_node.parent\n\n        transfer_sequence.reverse()\n        return tuple(transfer_sequence)\n\n    def get_size(self):\n        return self.root.id_counter\n\n    # Functions related to finding new basis and frontier states\n    def update_frontier_and_basis(self):\n        # Updates the frontier to basis map, promotes a frontier state and checks for consistency\n        self.update_frontier_to_basis_dict()\n        self.promote_frontier_state()\n        self.check_frontier_consistency()\n        self.update_frontier_to_basis_dict()\n\n    def update_basis_candidates(self, frontier_state):\n        \"\"\"\n        Updates the basis candidates for the specified frontier state.\n        Removes basis states that are deemed apart from the frontier state.\n        \"\"\"\n        if frontier_state not in self.frontier_to_basis_dict:\n            print(\n                f\"Warning: {frontier_state} not found in frontier_to_basis_dict.\")\n            return\n\n        basis_list = self.frontier_to_basis_dict[frontier_state]\n        self.frontier_to_basis_dict[frontier_state] = [basis_state for basis_state in basis_list\n                                                       if not Apartness.states_are_apart(frontier_state, basis_state, self)]\n\n    def update_frontier_to_basis_dict(self):\n        \"\"\"\n        Checks for basis candidates (basis states with the same behavior) for each frontier state.\n        If a frontier state and a basis state are \"apart\", the basis state is removed from the basis list.\n        \"\"\"\n\n        for frontier_state, basis_list in self.frontier_to_basis_dict.items():\n            self.frontier_to_basis_dict[frontier_state] = [\n                basis_state for basis_state in basis_list\n                if not Apartness.states_are_apart(frontier_state, basis_state, self)]\n\n    def promote_frontier_state(self):\n        \"\"\"\n        Searches for an isolated frontier state and adds it to the basis states if it is not associated with another basis state\n        \"\"\"\n        for iso_frontier_state, basis_list in self.frontier_to_basis_dict.items():\n            if not basis_list:\n                new_basis = iso_frontier_state\n                self.basis.append(new_basis)\n                self.frontier_to_basis_dict.pop(new_basis)\n\n                for frontier_state, new_basis_list in self.frontier_to_basis_dict.items():\n                    if not Apartness.states_are_apart(new_basis, frontier_state, self):\n                        new_basis_list.append(new_basis)\n                break\n\n    def check_frontier_consistency(self):\n        \"\"\"\n        Checks if all the states are correctly defined and creates new frontier states when possible \n        \"\"\"\n        for basis_state in self.basis:\n            for i in self.alphabet:\n                maybe_frontier = basis_state.get_successor(i)\n                if maybe_frontier is None or maybe_frontier in self.basis or maybe_frontier in self.frontier_to_basis_dict:\n                    continue\n\n                self.frontier_to_basis_dict[maybe_frontier] = [\n                    new_basis_state for new_basis_state in self.basis\n                    if not Apartness.states_are_apart(new_basis_state, maybe_frontier, self)\n                ]\n\n    def is_observation_tree_adequate(self):\n        # Check if the frontier state have only 1 basis candidate, and if all basis\n        # states have some output for every input.\n        self.check_frontier_consistency()\n        for _, basis_list in self.frontier_to_basis_dict.items():\n            if len(basis_list) != 1:\n                return False\n\n        for basis_state in self.basis:\n            for inp in self.alphabet:\n                if self.automaton_type == 'mealy':\n                    if basis_state.get_output(inp) is None:\n                        return False\n                else:\n                    if basis_state.get_successor(inp) is None:\n                        return False\n\n        return True\n\n    def make_basis_complete(self):\n        # Explore new frontier states and adding them to the frontier to basis map\n        for basis_state in self.basis:\n            for inp in self.alphabet:\n                if basis_state.get_successor(inp) is None:\n                    self.explore_frontier(basis_state, inp)\n                    new_frontier = basis_state.get_successor(inp)\n                    basis_candidates = self.find_basis_candidates(new_frontier)\n                    self.frontier_to_basis_dict[new_frontier] = basis_candidates\n\n    def find_basis_candidates(self, new_frontier):\n        return {\n            new_basis_state for new_basis_state in self.basis\n            if not Apartness.states_are_apart(new_basis_state, new_frontier, self)\n        }\n\n    def explore_frontier(self, basis_state, inp):\n        # Explores a specific frontier state (basis state + input) by passing a query to the SUL\n        if self.extension_rule is None or (self.extension_rule == \"SepSeq\" and len(self.basis) == 1):\n            inputs = self.get_transfer_sequence(self.root, basis_state)\n            inputs.append(inp)\n            outputs = self.sul.query(inputs)\n            self.insert_observation(inputs, outputs)\n        elif self.extension_rule == \"ADS\":\n            ads = Ads(self, self.basis)\n            ads_in, ads_out = self.adaptive_output_query(\n                self.get_transfer_sequence(self.root, basis_state), inp, ads)\n            self.insert_observation(ads_in, ads_out)\n        elif self.extension_rule == \"SepSeq\":\n            iterator = iter(self.basis)\n            basis_two = next(iterator)\n            if basis_two == basis_state:\n                basis_two = next(iterator)\n            witness = self.get_or_compute_witness(basis_state, basis_two)\n            inputs = self.get_transfer_sequence(self.root, basis_state)\n            inputs.append(inp)\n            inputs.extend(witness)\n            outputs = self.sul.query(inputs)\n            self.insert_observation(inputs, outputs)\n\n    def adaptive_output_query(self, prefix, infix, ads):\n        # Adds input to the prefix and calls the base function\n        prefix.append(infix)\n        return self.adaptive_output_query_base(prefix, ads)\n\n    def adaptive_output_query_base(self, prefix, ads):\n        # Query the tree for a result, if unsuccessful query the SUL and update the tree\n        from_node = self.get_successor(prefix)\n        if from_node:\n            tree_in, tree_out = self._answer_ads_from_tree(ads, from_node)\n            ads.reset_to_root()\n\n            if tree_out:\n                inputs = prefix\n                outputs = self.get_observation(prefix)\n                inputs.extend(tree_in)\n                outputs.extend(tree_out)\n                return inputs, outputs\n\n\n        sul_in, sul_out = self.sul.adaptive_query(prefix, ads)\n        if sul_out:\n            outputs = sul_out\n\n        self.insert_observation(sul_in, outputs)\n\n        return sul_in, outputs\n\n    def _answer_ads_from_tree(self, ads, from_node):\n        # searches the tree based on the inputs returning the inputs/outputs when all ads inputs are used\n        prev_output = None\n        inputs_sent = []\n        outputs_received = []\n        current_node = from_node\n\n        while True:\n            next_input = ads.next_input(prev_output)\n            if next_input is None:\n                break\n            inputs_sent.append(next_input)\n\n            if self.automaton_type == 'mealy':\n                output_from_node = current_node.get_output(next_input)\n                successor_from_node = current_node.get_successor(next_input)\n                if successor_from_node is None:\n                    return None, None\n            else:\n                successor_from_node = current_node.get_successor(next_input)\n                if successor_from_node is None:\n                    return None, None\n                output_from_node = successor_from_node.output\n\n            prev_output = output_from_node\n            outputs_received.append(output_from_node)\n            current_node = successor_from_node\n\n        ads.reset_to_root()\n        return inputs_sent, outputs_received\n\n    def get_or_compute_witness(self, state_one, state_two):\n        \"\"\"\n        Get witness by checking cache and computing it otherwise.\n        Only add pairs (a,b) with a < b.\n        \"\"\"\n        if state_one.id < state_two.id:\n            pair = (state_one.id, state_two.id)\n        else:\n            pair = (state_two.id, state_one.id)\n\n        if pair in self.witness_cache:\n            return self.witness_cache.get(pair)\n\n        witness = Apartness.compute_witness(state_one, state_two, self)\n        self.witness_cache[pair] = witness\n        return witness\n\n    def make_frontiers_identified(self):\n        # Loop over all frontier states to identify them\n        for frontier_state in self.frontier_to_basis_dict:\n            self.identify_frontier(frontier_state)\n\n    def identify_frontier(self, frontier_state):\n        # Identify a specific frontier state\n        if frontier_state not in self.frontier_to_basis_dict:\n            raise Exception(\n                f\"Warning: {frontier_state} not found in frontier_to_basis_dict.\")\n\n        self.update_basis_candidates(frontier_state)\n        old_candidate_size = len(\n            self.frontier_to_basis_dict.get(frontier_state))\n        if old_candidate_size < 2:\n            return\n\n        if self.separation_rule == \"SepSeq\" or old_candidate_size == 2:\n            inputs, outputs = self._identify_frontier_sepseq(frontier_state)\n        else:\n            inputs, outputs = self._identify_frontier_ads(frontier_state)\n\n        self.insert_observation(inputs, outputs)\n        self.update_basis_candidates(frontier_state)\n        if len(self.frontier_to_basis_dict.get(frontier_state)) == old_candidate_size:\n            raise RuntimeError(\"Identification did not increase the norm\")\n\n    def _identify_frontier_sepseq(self, frontier_state):\n        # Specifically identify frontier states using separating sequences\n        basis_candidates = self.frontier_to_basis_dict.get(frontier_state)\n        basis_one = basis_candidates[0]\n        basis_two = basis_candidates[1]\n\n        witness = self.get_or_compute_witness(basis_one, basis_two)\n        inputs = self.get_transfer_sequence(self.root, frontier_state)\n        inputs.extend(witness)\n\n        outputs = self.sul.query(inputs)\n\n        return inputs, outputs\n\n    def _identify_frontier_ads(self, frontier_state):\n        # Specifically identify frontier states using ADS\n        basis_candidates = self.frontier_to_basis_dict.get(frontier_state)\n        ads = Ads(self, basis_candidates)\n        ads.reset_to_root()\n        return self.adaptive_output_query_base(self.get_transfer_sequence(self.root, frontier_state), ads)\n\n    def construct_hypothesis_states(self):\n        # Construct the hypothesis states from the basis\n        self.states_dict = dict()\n        state_counter = 0\n\n        for basis_state in self.basis:\n            state_id = f's{state_counter}'\n            if self.automaton_type == 'dfa':\n                self.states_dict[basis_state] = DfaState(state_id)\n                self.states_dict[basis_state].is_accepting = basis_state.output\n            elif self.automaton_type == 'moore':\n                self.states_dict[basis_state] = MooreState(\n                    state_id, output=basis_state.output)\n            else:\n                self.states_dict[basis_state] = MealyState(state_id)\n            state_counter += 1\n\n    def construct_hypothesis_transitions(self):\n        # Construct the hypothesis transitions from the basis, frontier and basis to frontier mapping\n        for basis_state in self.basis:\n            for input_val in self.alphabet:\n                # set transition\n                successor = basis_state.get_successor(input_val)\n                if successor in self.frontier_to_basis_dict:\n                    # set successor for frontier state\n                    candidates = self.frontier_to_basis_dict[successor]\n                    if len(candidates) > 1:\n                        raise RuntimeError(\n                            \"Multiple basis candidates for a single frontier state.\")\n                    successor = next(iter(candidates))\n                if successor not in self.states_dict:\n                    raise RuntimeError(\n                        \"Successor is not in the basisToStateMap.\")\n\n                destination = self.states_dict[successor]\n                self.states_dict[basis_state].transitions[input_val] = destination\n                if self.automaton_type == 'mealy':\n                    self.states_dict[basis_state].output_fun[input_val] = basis_state.get_output(\n                        input_val)\n\n    def construct_hypothesis(self):\n        # Construct a hypothesis (Mealy Machine) based on the observation tree\n        self.construct_hypothesis_states()\n        self.construct_hypothesis_transitions()\n\n        automaton_class = {'dfa': Dfa, 'mealy': MealyMachine, 'moore': MooreMachine}\n        hypothesis = automaton_class[self.automaton_type](\n            self.states_dict[self.root], list(self.states_dict.values()))\n        hypothesis.compute_prefixes()\n        hypothesis.characterization_set = hypothesis.compute_characterization_set(raise_warning=False)\n\n        return hypothesis\n\n    def build_hypothesis(self):\n        # Builds the hypothesis which will be sent to the SUL and checks consistency\n        while True:\n            self.make_observation_tree_adequate()\n            hypothesis = self.construct_hypothesis()\n            counter_example = Apartness.compute_witness_in_tree_and_hypothesis_states(self, self.root, hypothesis.initial_state)\n\n            if not counter_example:\n                return hypothesis\n\n            cex_outputs = self.get_observation(counter_example)\n            self.process_counter_example(hypothesis, counter_example, cex_outputs)\n\n    def make_observation_tree_adequate(self):\n        # Updates the frontier and basis based on extension and separation rule\n        self.update_frontier_and_basis()\n        while not self.is_observation_tree_adequate():\n            self.make_basis_complete()\n            self.make_frontiers_identified()\n            self.promote_frontier_state()\n\n    # Counterexample Processing\n\n    def process_counter_example(self, hypothesis, cex_inputs, cex_outputs):\n        \"\"\"\n        Inserts the counter example into the observation tree and searches for the\n        input-output sequence which is different\n        \"\"\"\n        self.insert_observation(cex_inputs, cex_outputs)\n        hyp_outputs = hypothesis.compute_output_seq(\n            hypothesis.initial_state, cex_inputs)\n        prefix_index = self._get_counter_example_prefix_index(\n            cex_outputs, hyp_outputs)\n        self._process_binary_search(\n            hypothesis, cex_inputs[:prefix_index], cex_outputs[:prefix_index])\n\n    def _get_counter_example_prefix_index(self, cex_outputs, hyp_outputs):\n        \"\"\" Checks at which index the output functions differ \"\"\"\n        for index in range(len(cex_outputs)):\n            if cex_outputs[index] != hyp_outputs[index]:\n                return index\n        raise RuntimeError(\"counterexample and hypothesis outputs are equal\")\n\n    def _process_binary_search(self, hypothesis, cex_inputs, cex_outputs):\n        \"\"\"\n        use binary search on the counter example to compute a witness between the real system and the hypothesis\n        \"\"\"\n        tree_node = self.get_successor(cex_inputs)\n        self.update_frontier_and_basis()\n\n        if tree_node in self.frontier_to_basis_dict or tree_node in self.basis:\n            return\n\n        hyp_state = self._get_automaton_successor(\n            hypothesis, hypothesis.initial_state, cex_inputs)\n        hyp_node = list(self.states_dict.keys())[list(\n            self.states_dict.values()).index(hyp_state)]\n\n        prefix = []\n        current_state = self.root\n        for input in cex_inputs:\n            if current_state in self.frontier_to_basis_dict:\n                break\n            current_state = current_state.get_successor(input)\n            prefix.append(input)\n\n        h = (len(prefix) + len(cex_inputs)) // 2\n        sigma1 = list(cex_inputs[:h])\n        sigma2 = list(cex_inputs[h:])\n\n        hyp_state_p = self._get_automaton_successor(\n            hypothesis, hypothesis.initial_state, sigma1)\n        hyp_node_p = list(self.states_dict.keys())[list(\n            self.states_dict.values()).index(hyp_state_p)]\n        hyp_p_access = self.get_transfer_sequence(self.root, hyp_node_p)\n\n        witness = Apartness.compute_witness(tree_node, hyp_node, self)\n        if witness is None:\n            raise RuntimeError(\"Binary search: There should be a witness\")\n\n        query_inputs = hyp_p_access + sigma2 + witness\n        query_outputs = self.sul.query(query_inputs)\n\n        self.insert_observation(query_inputs, query_outputs)\n\n        tree_node_p = self.get_successor(sigma1)\n\n        witness_p = Apartness.compute_witness(tree_node_p, hyp_node_p, self)\n\n        if witness_p is not None:\n            self._process_binary_search(hypothesis, sigma1, cex_outputs[:h])\n        else:\n            new_inputs = list(hyp_p_access) + sigma2\n            self._process_binary_search(\n                hypothesis, new_inputs, query_outputs[:len(new_inputs)])\n\n    def _get_automaton_successor(self, automaton, from_state, inputs):\n        automaton.current_state = from_state\n        for inp in inputs:\n            automaton.current_state = automaton.current_state.transitions[inp]\n\n        return automaton.current_state\n"
  },
  {
    "path": "aalpy/learning_algs/deterministic/__init__.py",
    "content": ""
  },
  {
    "path": "aalpy/learning_algs/deterministic_passive/ClassicRPNI.py",
    "content": "import time\nfrom bisect import insort\nfrom aalpy.learning_algs.deterministic_passive.rpni_helper_functions import to_automaton, createPTA, \\\n    check_sequence, extract_unique_sequences\n\n\nclass ClassicRPNI:\n    def __init__(self, data, automaton_type, print_info=True):\n        self.data = data\n        self.automaton_type = automaton_type\n        self.print_info = print_info\n\n        pta_construction_start = time.time()\n        self.root_node = createPTA(data, automaton_type)\n        self.test_data = extract_unique_sequences(self.root_node, automaton_type)\n\n        if self.print_info:\n            print(f'PTA Construction Time: {round(time.time() - pta_construction_start, 2)}')\n\n    def run_rpni(self):\n        start_time = time.time()\n\n        red = [self.root_node]\n        blue = list(red[0].children.values())\n        while blue:\n            lex_min_blue = min(list(blue))\n            merged = False\n\n            for red_state in red:\n                if not red_state.compatible_outputs(lex_min_blue):\n                    continue\n                merge_candidate = self._merge(red_state, lex_min_blue, copy_nodes=True)\n                if self._compatible(merge_candidate):\n                    self._merge(red_state, lex_min_blue)\n                    merged = True\n                    break\n\n            if not merged:\n                insort(red, lex_min_blue)\n                if self.print_info:\n                    print(f'\\rCurrent automaton size: {len(red)}', end=\"\")\n\n            blue.clear()\n            for r in red:\n                for c in r.children.values():\n                    if c not in red:\n                        blue.append(c)\n\n        if self.print_info:\n            print(f'\\nRPNI Learning Time: {round(time.time() - start_time, 2)}')\n            print(f'RPNI Learned {len(red)} state automaton.')\n\n        assert sorted(red, key=lambda x: len(x.prefix)) == red\n        return to_automaton(red, self.automaton_type)\n\n    def _compatible(self, root_node):\n        \"\"\"\n        Check if current model is compatible with the data.\n        \"\"\"\n        for sequence in self.test_data:\n            if not check_sequence(root_node, sequence, automaton_type=self.automaton_type):\n                return False\n        return True\n\n    def _merge(self, red_node, lex_min_blue, copy_nodes=False):\n        \"\"\"\n        Merge two states and return the root node of resulting model.\n        \"\"\"\n        root_node = self.root_node.copy() if copy_nodes else self.root_node\n        lex_min_blue = lex_min_blue.copy() if copy_nodes else lex_min_blue\n\n        red_node_in_tree = root_node\n        for p in red_node.prefix:\n            red_node_in_tree = red_node_in_tree.children[p]\n\n        to_update = root_node\n        for p in lex_min_blue.prefix[:-1]:\n            to_update = to_update.children[p]\n\n        to_update.children[lex_min_blue.prefix[-1]] = red_node_in_tree\n\n        if self.automaton_type != 'mealy':\n            self._fold(red_node_in_tree, lex_min_blue)\n        else:\n            self._fold_mealy(red_node_in_tree, lex_min_blue)\n\n        return root_node\n\n    def _fold(self, red_node, blue_node):\n        # Change the output of red only to concrete output, ignore None\n        red_node.output = blue_node.output if blue_node.output is not None else red_node.output\n\n        for i in blue_node.children.keys():\n            if i in red_node.children.keys():\n                self._fold(red_node.children[i], blue_node.children[i])\n            else:\n                red_node.children[i] = blue_node.children[i]\n\n    def _fold_mealy(self, red_node, blue_node):\n        for i, o in blue_node.output.items():\n            red_node.output[i] = o\n\n        for i in blue_node.children.keys():\n            if i in red_node.children.keys():\n                self._fold_mealy(red_node.children[i], blue_node.children[i])\n            else:\n                red_node.children[i] = blue_node.children[i]\n\n"
  },
  {
    "path": "aalpy/learning_algs/deterministic_passive/GsmRPNI.py",
    "content": "import time\nfrom collections import deque\n\nfrom aalpy.learning_algs.deterministic_passive.rpni_helper_functions import to_automaton, RpniNode, createPTA\n\n\nclass GsmRPNI:\n    def __init__(self, data, automaton_type, print_info=True):\n        self.data = data\n        self.final_automaton_type = automaton_type\n        self.automaton_type = automaton_type if automaton_type != 'dfa' else 'moore'\n        self.print_info = print_info\n\n        pta_construction_start = time.time()\n        self.root_node = createPTA(data, self.automaton_type)\n        self.log = []\n\n        if self.print_info:\n            print(f'PTA Construction Time: {round(time.time() - pta_construction_start, 2)}')\n\n    def run_rpni(self):\n        start_time = time.time()\n\n        # sorted list of states already considered\n        red_states = [self.root_node]\n        # used to get the minimal non-red state\n        blue_states = list(red_states[0].children.values())\n\n        while blue_states:\n            blue_state = min(list(blue_states))\n\n            partition = None\n            red_state = None\n            for red_state in red_states:\n                partition = self._partition_from_merge(red_state, blue_state)\n                if partition is not None:\n                    break\n\n            if partition is None:\n                self.log.append([\"promote\", (blue_state.prefix,)])\n                red_states.append(blue_state)\n                if self.print_info:\n                    print(f'\\rCurrent automaton size: {len(red_states)}', end=\"\")\n            else:\n                self.log.append([\"merge\", (red_state.prefix, blue_state.prefix)])\n\n                # use the partition for merging\n                for node in partition.keys():\n                    block = partition[node]\n                    # assert RpniNode.compatible(node, block)\n                    node.output = block.output\n                    node.children = block.children\n\n                node = self.root_node.get_child_by_prefix(blue_state.prefix[:-1])\n                node.children[blue_state.prefix[-1]] = red_state\n\n            blue_states.clear()\n            for r in red_states:\n                for c in r.children.values():\n                    if c not in red_states:\n                        blue_states.append(c)\n\n        if self.print_info:\n            print(f'\\nRPNI-GSM Learning Time: {round(time.time() - start_time, 2)}')\n            print(f'RPNI-GSM Learned {len(red_states)} state automaton.')\n\n        return to_automaton(red_states, self.final_automaton_type)\n\n    def _partition_from_merge(self, red: RpniNode, blue: RpniNode):\n        \"\"\"\n        Compatibility check based on partitions\n        \"\"\"\n\n        partitions = dict()\n        q = deque()\n        q.append((red, blue))\n\n        while len(q) != 0:\n            red, blue = q.popleft()\n\n            def get_partition(node: RpniNode):\n                if node not in partitions:\n                    p = node.shallow_copy()\n                    partitions[node] = p\n                else:\n                    p = partitions[node]\n                return p\n\n            partition = get_partition(red)\n\n            if not RpniNode.compatible_outputs(partition, blue):\n                return None\n            if self.automaton_type == 'moore' and partition.output is None:\n                partition.output = blue.output\n            if self.automaton_type == 'mealy':\n                for key in filter(lambda k: k not in partition.output or partition.output[k] is None, blue.output):\n                    partition.output[key] = blue.output[key]\n\n            partitions[blue] = partition\n\n            for symbol, blue_child in blue.children.items():\n                if symbol in partition.children.keys():\n                    q.append((partition.children[symbol], blue_child))\n                else:\n                    # blue_child is blue after merging if there is a red state in the partition\n                    partition.children[symbol] = blue_child\n        return partitions\n"
  },
  {
    "path": "aalpy/learning_algs/deterministic_passive/PAPNI.py",
    "content": "from aalpy.utils import is_balanced\nfrom aalpy.automata.Vpa import vpa_from_dfa_representation\n\ndef run_PAPNI(data, vpa_alphabet, algorithm='edsm', print_info=True):\n    \"\"\"\n    Run PAPNI, a deterministic passive model learning algorithm of deterministic pushdown automata.\n    Resulting model conforms to the provided data.\n\n    Args:\n\n        data: sequence of input sequences and corresponding label. Eg. [[(i1,i2,i3, ...), label], ...]\n        vpa_alphabet:  grouping of alphabet elements to call symbols, return symbols, and internal symbols. Call symbols\n        push to stack, return symbols pop from stack, and internal symbols do not affect the stack.\n        algorithm: either 'gsm' for classic RPNI or 'edsm' for evidence driven state merging variant of RPNI\n        print_info: print learning progress and runtime information\n\n    Returns:\n\n        VPA conforming to the data, or None if data is non-deterministic.\n    \"\"\"\n    from aalpy.learning_algs import run_EDSM, run_RPNI\n    assert algorithm in {'gsm', 'classic', 'edsm'}\n\n    # preprocess input sequences to keep track of stack\n    papni_data = []\n    for input_seq, label in data:\n        # if input sequance is not balanced we do not consider it (it would lead to error state anyway)\n        if not is_balanced(input_seq, vpa_alphabet):\n            continue\n\n        # for each sequance keep track of the stack, and when pop/return element is observed encode it along with the\n        # current top of stack. This keeps track of stack during execution\n        processed_sequance = []\n        stack = []\n\n        for input_symbol in input_seq:\n            input_element = input_symbol\n            # if call/push symbol push to stack\n            if input_symbol in vpa_alphabet.call_alphabet:\n                stack.append(input_symbol)\n            # if return/pop symbol pop from stack and add it to the input data\n            if input_symbol in vpa_alphabet.return_alphabet:\n                top_of_stack = stack.pop()\n                input_element = (input_symbol, top_of_stack)\n            processed_sequance.append(input_element)\n\n        papni_data.append((processed_sequance, label))\n\n    # instantiate and run PAPNI as base RPNI with stack-aware data\n    if algorithm != 'edsm':\n        learned_model = run_RPNI(papni_data, automaton_type='dfa', algorithm=algorithm, print_info=print_info)\n    else:\n        learned_model = run_EDSM(papni_data, automaton_type='dfa', print_info=print_info)\n\n    # convert intermediate DFA representation to VPA\n    learned_model = vpa_from_dfa_representation(learned_model, vpa_alphabet)\n\n    return learned_model\n"
  },
  {
    "path": "aalpy/learning_algs/deterministic_passive/RPNI.py",
    "content": "from typing import Union\n\nfrom aalpy.base import DeterministicAutomaton\nfrom aalpy.learning_algs.deterministic_passive.ClassicRPNI import ClassicRPNI\nfrom aalpy.learning_algs.deterministic_passive.GsmRPNI import GsmRPNI\n\n\ndef run_RPNI(data, automaton_type, algorithm='gsm',\n             input_completeness=None, print_info=True) -> Union[DeterministicAutomaton, None]:\n    \"\"\"\n    Run RPNI, a deterministic passive model learning algorithm.\n    Resulting model conforms to the provided data.\n    For more information on RPNI, check out AALpy' Wiki:\n    https://github.com/DES-Lab/AALpy/wiki/RPNI---Passive-Deterministic-Automata-Learning\n\n    Args:\n\n        data: sequence of input sequences and corresponding label. Eg. [[(i1,i2,i3, ...), label], ...]\n        automaton_type: either 'dfa', 'mealy', 'moore'. Note that for 'mealy' machine learning, data has to be prefix-closed.\n        algorithm: either 'gsm' (generalized state merging) or 'classic' for base RPNI implementation. GSM is much faster and less resource intensive.\n        input_completeness: either None, 'sink_state', or 'self_loop'. If None, learned model could be input incomplete,\n        sink_state will lead all undefined inputs form some state to the sink state, whereas self_loop will simply create\n        a self loop. In case of Mealy learning output of the added transition will be 'epsilon'.\n        print_info: print learning progress and runtime information\n\n    Returns:\n\n        Model conforming to the data, or None if data is non-deterministic.\n    \"\"\"\n    assert algorithm in {'gsm', 'classic'}\n    assert automaton_type in {'dfa', 'mealy', 'moore'}\n    assert input_completeness in {None, 'self_loop', 'sink_state'}\n\n    if algorithm == 'classic':\n        rpni = ClassicRPNI(data, automaton_type, print_info)\n    else:\n        rpni = GsmRPNI(data, automaton_type, print_info)\n\n    if rpni.root_node is None:\n        print('Data provided to RPNI is not deterministic. Ensure that the data is deterministic, '\n              'or consider using Alergia.')\n        return None\n\n    learned_model = rpni.run_rpni()\n\n    if not learned_model.is_input_complete():\n        if not input_completeness:\n            if print_info:\n                print('Warning: Learned Model is not input complete (inputs not defined for all states). '\n                      'Consider calling .make_input_complete()')\n        else:\n            if print_info:\n                print(f'Learned model was not input complete. Adapting it with {input_completeness} transitions.')\n            learned_model.make_input_complete(input_completeness)\n\n    return learned_model\n\n\n"
  },
  {
    "path": "aalpy/learning_algs/deterministic_passive/__init__.py",
    "content": ""
  },
  {
    "path": "aalpy/learning_algs/deterministic_passive/active_RPNI.py",
    "content": "from abc import ABC, abstractmethod\nfrom random import randint, choice\n\nfrom aalpy.learning_algs import run_RPNI\nfrom aalpy.utils import convert_i_o_traces_for_RPNI\n\n\nclass RpniActiveSampler(ABC):\n    \"\"\"\n    Abstract class whose implementations are used to provide samples for active passive learning.\n    \"\"\"\n\n    @abstractmethod\n    def sample(self, sul, model):\n        \"\"\"\n        Abstract method implementing sampling strategy.\n\n        Args:\n\n            sul: system under learning\n            model: current learned model\n\n        Returns:\n\n            Data to be added to the data set for the passive RPNI learning in its data-format.\n\n        \"\"\"\n        pass\n\n\nclass RandomWordSampler(RpniActiveSampler):\n    def __init__(self, num_walks, min_walk_len, max_walk_len):\n        self.num_walks = num_walks\n        self.min_walk_len = min_walk_len\n        self.max_walk_len = max_walk_len\n\n    def sample(self, sul, model):\n        input_al = list({el for s in model.states for el in s.transitions.keys()})\n        samples = []\n\n        for _ in range(self.num_walks):\n            walk_len = randint(self.min_walk_len, self.max_walk_len)\n            random_walk = tuple(choice(input_al) for _ in range(walk_len))\n\n            outputs = sul.query(random_walk)\n            samples.append(list(zip(random_walk, outputs)))\n\n        samples = convert_i_o_traces_for_RPNI(samples)\n        return samples\n\n\ndef run_active_RPNI(data, sul, sampler, n_iter, automaton_type, print_info=True):\n    model = None\n    for i in range(n_iter):\n        if print_info:\n            print(f'-------------Active RPNI Iteration: {i}-------------')\n        model = run_RPNI(data, automaton_type=automaton_type, print_info=print_info)\n\n        new_samples = sampler.sample(sul, model)\n        data.extend(new_samples)\n\n    return model\n"
  },
  {
    "path": "aalpy/learning_algs/deterministic_passive/rpni_helper_functions.py",
    "content": "import pickle\nfrom functools import total_ordering\n\n\n@total_ordering\nclass RpniNode:\n    __slots__ = ['output', 'children', 'prefix', \"type\"]\n\n    def __init__(self, output=None, children=None, automaton_type='moore'):\n        if output is None and automaton_type == 'mealy':\n            output = dict()\n        if children is None:\n            children = dict()\n        self.output = output\n        self.children = children\n        self.prefix = ()\n        self.type = automaton_type\n\n    def shallow_copy(self):\n        output = self.output if self.type != 'mealy' else dict(self.output)\n        return RpniNode(output, dict(self.children), self.type)\n\n    def copy(self):\n        return pickle.loads(pickle.dumps(self, -1))\n\n    def __lt__(self, other):\n        return len(self.prefix) < len(other.prefix)\n        # return (len(self.prefix), self.prefix) < (len(other.prefix), other.prefix)\n\n    def __eq__(self, other):\n        return self.prefix == other.prefix\n\n    def __hash__(self):\n        return id(self)  # TODO This is a hack\n\n    def compatible_outputs(self, other):\n        \"\"\"\n        Only allow merging of states that have same output(s).\n        \"\"\"\n        # None is compatible with everything\n        if self.type != 'mealy':\n            return self.output == other.output or self.output is None or other.output is None\n        else:\n            red_io = {i: o for i, o in self.output.items()}\n            blue_io = {i: o for i, o in other.output.items()}\n            for common_i in set(red_io.keys()).intersection(blue_io.keys()):\n                if red_io[common_i] != blue_io[common_i]:\n                    return False\n        return True\n\n    def get_child_by_prefix(self, prefix):\n        node = self\n        for symbol in prefix:\n            node = node.children[symbol]\n        return node\n\n\ndef check_sequence(root_node, seq, automaton_type):\n    \"\"\"\n    Checks whether each sequence in the dataset is valid in the current automaton.\n    \"\"\"\n    curr_node = root_node\n    # Check initial output for Moore machines and the like\n    if automaton_type != 'mealy' and len(seq) != 0:\n        if seq[0] is not None and seq[0] != root_node.output:\n            return False\n        seq = seq[1:]\n    for i, o in seq:\n        if automaton_type == 'mealy':\n            if i not in curr_node.output or o is not None and curr_node.output[i] != o:\n                return False\n            curr_node = curr_node.children[i]\n        else:\n            # For dfa and moore, check if outputs are the same, iff output in test data is concrete (not None)\n            curr_node = curr_node.children[i]\n            if o is not None and curr_node.output != o:\n                return False\n    return True\n\n\ndef createPTA(data, automaton_type):\n    data.sort(key=lambda x: len(x[0]))\n\n    root_node = RpniNode(automaton_type=automaton_type)\n    for seq, label in data:\n        curr_node = root_node\n        for idx, symbol in enumerate(seq):\n            if symbol not in curr_node.children.keys():\n                node = RpniNode(automaton_type=automaton_type)\n                node.prefix = curr_node.prefix + (symbol,)\n                curr_node.children[symbol] = node\n\n            if automaton_type == 'mealy' and idx == len(seq) - 1:\n                if symbol not in curr_node.output:\n                    curr_node.output[symbol] = label\n                if curr_node.output[symbol] != label:\n                    return None\n            curr_node = curr_node.children[symbol]\n        if automaton_type == 'moore' or automaton_type == 'dfa':\n            if curr_node.output is None:\n                curr_node.output = label\n            if curr_node.output != label:\n                return None\n\n    return root_node\n\n\ndef extract_unique_sequences(root_node, automaton_type):\n    def get_leaf_nodes(root):\n        leaves = []\n\n        def _get_leaf_nodes(node):\n            if node is not None:\n                if len(node.children.keys()) == 0:\n                    leaves.append(node)\n                for n in node.children.values():\n                    _get_leaf_nodes(n)\n\n        _get_leaf_nodes(root)\n        return leaves\n\n    leaf_nodes = get_leaf_nodes(root_node)\n    paths = []\n    for node in leaf_nodes:\n        seq = [] if automaton_type == 'mealy' else [root_node.output]\n        curr_node = root_node\n        for i in node.prefix:\n            curr_node = curr_node.children[i]\n            if automaton_type == 'mealy':\n                seq.append((i, curr_node.output.get(i)))\n            else:\n                seq.append((i, curr_node.output))\n        paths.append(seq)\n\n    return paths\n\n\ndef to_automaton(red, automaton_type):\n    from aalpy.automata import DfaState, Dfa, MooreMachine, MooreState, MealyMachine, MealyState\n\n    if automaton_type == 'dfa':\n        state, automaton = DfaState, Dfa\n    elif automaton_type == 'moore':\n        state, automaton = MooreState, MooreMachine\n    else:\n        state, automaton = MealyState, MealyMachine\n\n    initial_state = None\n    prefix_state_map = {}\n    for i, r in enumerate(red):\n        if automaton_type == 'moore' or automaton_type == 'dfa':\n            # make sure all None states (incomplete information to deduce output) are set to False for DFAs\n            if automaton_type == 'dfa' and r.output is None:\n                r.output = False\n            prefix_state_map[r.prefix] = state(f's{i}', r.output)\n        else:\n            prefix_state_map[r.prefix] = state(f's{i}')\n        if i == 0:\n            initial_state = prefix_state_map[r.prefix]\n\n    for r in red:\n        for i, c in r.children.items():\n            if automaton_type == 'moore' or automaton_type == 'dfa':\n                prefix_state_map[r.prefix].transitions[i] = prefix_state_map[c.prefix]\n            else:\n                prefix_state_map[r.prefix].transitions[i] = prefix_state_map[c.prefix]\n                prefix_state_map[r.prefix].output_fun[i] = r.output[i] if i in r.output else None\n\n    return automaton(initial_state, list(prefix_state_map.values()))\n\n\ndef visualize_pta(root_node, path='pta.pdf'):\n    from pydot import Dot, Node, Edge\n    graph = Dot('fpta', graph_type='digraph')\n\n    graph.add_node(Node(str(root_node.prefix), label=f'{root_node.output}'))\n\n    queue = [root_node]\n    visited = set()\n    visited.add(root_node.prefix)\n    while queue:\n        curr = queue.pop(0)\n        for i, c in curr.children.items():\n            if c.prefix not in visited:\n                graph.add_node(Node(str(c.prefix), label=f'{c.output}'))\n            graph.add_edge(Edge(str(curr.prefix), str(c.prefix), label=f'{i}'))\n            if c.prefix not in visited:\n                queue.append(c)\n            visited.add(c.prefix)\n\n    graph.add_node(Node('__start0', shape='none', label=''))\n    graph.add_edge(Edge('__start0', str(root_node.prefix), label=''))\n\n    graph.write(path=path, format='pdf')\n"
  },
  {
    "path": "aalpy/learning_algs/general_passive/GeneralizedStateMerging.py",
    "content": "import functools\nfrom collections import deque\nfrom typing import Dict, Tuple, Callable, List, Optional\n\nfrom aalpy.learning_algs.general_passive.GsmNode import GsmNode, OutputBehavior, TransitionBehavior, TransitionInfo, \\\n    OutputBehaviorRange, TransitionBehaviorRange, intersection_iterator, unknown_output, detect_data_format\nfrom aalpy.learning_algs.general_passive.ScoreFunctionsGSM import ScoreCalculation, hoeffding_compatibility\n\n\n# TODO add option for making checking of futures and partition non mutual exclusive?\n#  Easiest done by adding a new method / field to ScoreCalculation\n\nclass Partitioning:\n    def __init__(self, red: GsmNode, blue: GsmNode):\n        self.red: GsmNode = red\n        self.blue: GsmNode = blue\n        self.score = False\n        self.red_mapping: Dict[GsmNode, GsmNode] = dict()\n        self.full_mapping: Dict[GsmNode, GsmNode] = dict()\n\n\nclass Instrumentation:\n    def __init__(self):\n        pass\n\n    def reset(self, gsm: 'GeneralizedStateMerging'):\n        pass\n\n    def pta_construction_done(self, root: GsmNode):\n        pass\n\n    def log_promote(self, node: GsmNode):\n        pass\n\n    def log_merge(self, part: Partitioning):\n        pass\n\n    def learning_done(self, root: GsmNode):\n        pass\n\n\nclass GeneralizedStateMerging:\n    def __init__(self, *,\n                 output_behavior: OutputBehavior = \"moore\",\n                 transition_behavior: TransitionBehavior = \"deterministic\",\n                 score_calc: ScoreCalculation = None,\n                 pta_preprocessing: Callable[[GsmNode], GsmNode] = None,\n                 postprocessing: Callable[[GsmNode], GsmNode] = None,\n                 compatibility_on_pta: bool = False,\n                 compatibility_on_futures: bool = False,\n                 node_order: Callable[[GsmNode, GsmNode], bool] = None,\n                 consider_only_min_blue=False,\n                 depth_first=False):\n\n        if output_behavior not in OutputBehaviorRange:\n            raise ValueError(f\"invalid output behavior {output_behavior}. should be in {OutputBehaviorRange}\")\n        self.output_behavior: OutputBehavior = output_behavior\n        if transition_behavior not in TransitionBehaviorRange:\n            raise ValueError(f\"invalid transition behavior {transition_behavior}. should be in {TransitionBehaviorRange}\")\n        self.transition_behavior: TransitionBehavior = transition_behavior\n\n        if score_calc is None:\n            if transition_behavior == \"deterministic\":\n                score_calc = ScoreCalculation()\n            elif transition_behavior == \"nondeterministic\" :\n                raise ValueError(\"Missing score_calc for nondeterministic transition behavior. No default available.\")\n            elif transition_behavior == \"stochastic\" :\n                score_calc = ScoreCalculation(hoeffding_compatibility(0.005, compatibility_on_pta))\n        self.score_calc: ScoreCalculation = score_calc\n\n        if node_order is None:\n            self.node_order = GsmNode.default_order\n        else:\n            self.node_order = functools.cmp_to_key(lambda a, b: -1 if node_order(a, b) else 1)\n\n        self.pta_preprocessing = pta_preprocessing or (lambda x: x)\n        self.postprocessing = postprocessing or (lambda x: x)\n\n        self.compatibility_on_pta = compatibility_on_pta\n        self.compatibility_on_futures = compatibility_on_futures\n\n        self.consider_only_min_blue = consider_only_min_blue\n        self.depth_first = depth_first\n\n    def compute_local_compatibility(self, a: GsmNode, b: GsmNode):\n        if self.output_behavior == \"moore\" and not GsmNode.moore_compatible(a, b):\n            return False\n        if self.transition_behavior == \"deterministic\" and not GsmNode.deterministic_compatible(a, b):\n            return False\n        return self.score_calc.local_compatibility(a, b)\n\n    # TODO: make more generic by adding the option to use a different algorithm than red blue\n    #  for selecting potential merge candidates. Maybe using inheritance with abstract `run`.\n    def run(self, data, convert=True, instrumentation: Instrumentation=None, data_format=None):\n        if instrumentation is None:\n            instrumentation = Instrumentation()\n        instrumentation.reset(self)\n\n        if data_format is None:\n            data_format = detect_data_format(data)\n        if data_format == \"labeled_sequences\" and self.transition_behavior != \"deterministic\":\n            raise ValueError(\"learning from labeled_sequences is not possible for nondeterministic systems\")\n        if data_format == \"traces\" and self.transition_behavior == \"deterministic\":\n            print(\"learning deterministic systems from (output) traces only. this rarely makes sense. is `data_format` set correctly?\")\n        root = GsmNode.createPTA(data, self.output_behavior, data_format)\n\n        root = self.pta_preprocessing(root)\n        instrumentation.pta_construction_done(root)\n        instrumentation.log_promote(root)\n\n        if self.transition_behavior == \"deterministic\":\n            if not root.is_deterministic():\n                raise ValueError(\"required deterministic automaton but input data is nondeterministic\")\n\n        # sorted list of states already considered\n        red_states = [root]\n\n        partition_candidates: Dict[Tuple[GsmNode, GsmNode], Partitioning] = dict()\n        while True:\n            # sort states. states are always sorted using default order on original prefix\n            if self.node_order is not GsmNode.default_order:\n                red_states.sort(key=self.node_order)\n\n            # get blue states\n            blue_states = []\n            for r in red_states:\n                for _, _, t in r.transition_iterator():\n                    c = t.target\n                    if c in red_states:\n                        continue\n                    blue_states.append(c)\n                    if self.consider_only_min_blue and self.node_order is GsmNode.default_order:\n                        break\n\n            # no blue states left -> done\n            if len(blue_states) == 0:\n                break\n            if self.consider_only_min_blue: # does it make sense to check the score function here?\n                blue_states = [min(blue_states, key=self.node_order)]\n            if self.node_order is not GsmNode.default_order:\n                blue_states.sort(key=self.node_order)\n\n            # loop over blue states\n            promotion = False\n            for blue_state in blue_states:\n                # FUTURE: Parallelize\n                # FUTURE: Save partitions?\n\n                # calculate partitions resulting from merges with red states if necessary\n                current_candidates: Dict[GsmNode, Partitioning] = dict()\n                perfect_partitioning = None\n                red_state = None\n                for red_state in red_states:\n                    partition = partition_candidates.get((red_state, blue_state))\n                    if partition is None:\n                        partition = self._partition_from_merge(red_state, blue_state)\n                    if partition.score is True:\n                        perfect_partitioning = partition\n                        break\n                    current_candidates[red_state] = partition\n                assert red_state is not None\n\n                # partition with perfect score found: don't consider anything else\n                if perfect_partitioning:\n                    partition_candidates = {(red_state, blue_state): perfect_partitioning}\n                    break\n\n                # no merge candidates for this blue state -> promote\n                if all(part.score is False for part in current_candidates.values()):\n                    red_states.append(blue_state)\n                    instrumentation.log_promote(blue_state)\n                    promotion = True\n                    break\n\n                # update tracking dict with new candidates\n                new_candidates = (((red, blue_state), part) for red, part in current_candidates.items() if\n                                  part.score is not False)\n                partition_candidates.update(new_candidates)\n\n            # a state was promoted -> don't clear candidates\n            if promotion:\n                continue\n\n            # find best partitioning and clear candidates\n            best_candidate = max(partition_candidates.values(), key=lambda part: part.score)\n            for real_node, partition_node in best_candidate.red_mapping.items():\n                real_node.transitions = partition_node.transitions\n                real_node.predecessor = partition_node.predecessor\n                real_node.prefix_access_pair = partition_node.prefix_access_pair\n            instrumentation.log_merge(best_candidate)\n            # FUTURE: optimizations for compatibility tests where merges can be orthogonal\n            # FUTURE: caching for aggregating compatibility tests\n            partition_candidates.clear()\n\n        instrumentation.learning_done(root)\n\n        root = self.postprocessing(root)\n        if convert:\n            root = root.to_automaton(self.output_behavior, self.transition_behavior)\n        return root\n\n    def _check_futures(self, red: GsmNode, blue: GsmNode) -> bool:\n        q: deque[Tuple[GsmNode, GsmNode]] = deque([(red, blue)])\n        pop = q.pop if self.depth_first else q.popleft\n\n        while len(q) != 0:\n            red, blue = pop()\n\n            if self.compute_local_compatibility(red, blue) is False:\n                return False\n\n            for in_sym, red_trans, blue_trans in intersection_iterator(red.transitions, blue.transitions):\n                for out_sym, red_child, blue_child in intersection_iterator(red_trans, blue_trans):\n                    if self.compatibility_on_pta:\n                        if blue_child.original_count == 0 or red_child.original_count == 0:\n                            continue\n                        q.append((red_child.original_target, blue_child.original_target))\n                    else:\n                        q.append((red_child.target, blue_child.target))\n\n        return True\n\n    def _partition_from_merge(self, red: GsmNode, blue: GsmNode) -> Partitioning:\n        # Compatibility check based on partitions.\n        # assumes that blue is a tree and red is not reachable from blue\n\n        partitioning = Partitioning(red, blue)\n\n        self.score_calc.reset()\n\n        if self.compatibility_on_futures:\n            if self._check_futures(red, blue) is False:\n                return partitioning\n\n        # when compatibility is determined only by future and scores are disabled, we need not create partitions.\n        if self.compatibility_on_futures and not self.score_calc.has_score_function():\n            def update_partition(red_node: GsmNode, blue_node: Optional[GsmNode]) -> GsmNode:\n                return red_node\n        else:\n            def update_partition(red_node: GsmNode, blue_node: Optional[GsmNode]) -> GsmNode:\n                p = partitioning.full_mapping.get(red_node) # could check smaller .red_mapping?\n                if p is None:\n                    p = red_node.shallow_copy()\n                    partitioning.full_mapping[red_node] = p\n                    partitioning.red_mapping[red_node] = p\n                if blue_node is not None:\n                    partitioning.full_mapping[blue_node] = p\n                return p\n\n        # rewire the blue node's parent\n        blue_parent = update_partition(blue.predecessor, None)\n        blue_in_sym, blue_out_sym = blue.prefix_access_pair\n        blue_parent.transitions[blue_in_sym][blue_out_sym].target = red\n\n        partition = update_partition(red, None)\n        if self.output_behavior == \"moore\":\n            partition.resolve_unknown_prefix_output(blue_out_sym)\n\n        # loop over implied merges\n        q: deque[Tuple[GsmNode, GsmNode]] = deque([(red, blue)])\n        pop = q.pop if self.depth_first else q.popleft\n        while len(q) != 0:\n            red, blue = pop()\n            partition = update_partition(red, blue)\n\n            if not self.compatibility_on_futures:\n                if self.compute_local_compatibility(partition, blue) is False:\n                    return partitioning\n\n            # create implied merges for all common successors\n            for in_sym, blue_transitions in blue.transitions.items():\n                partition_transitions = partition.transitions[in_sym]\n                for out_sym, blue_transition in blue_transitions.items():\n                    partition_transition = partition_transitions.get(out_sym)\n                    # handle unknown output\n                    if partition_transition is None and len(partition_transitions) != 0:\n                        if out_sym is unknown_output:\n                            assert len(partition_transitions) == 1\n                            partition_transition = list(partition_transitions.values())[0]\n                        if unknown_output in partition_transitions:\n                            assert len(partition_transitions) == 1\n                            partition_transition = partition_transitions.pop(unknown_output)\n                            partition_transitions[out_sym] = partition_transition\n                            # re-hook access pair\n                            succ_part = update_partition(partition_transition.target, None)\n                            if self.output_behavior == \"moore\" or succ_part.predecessor is red:\n                                succ_part.resolve_unknown_prefix_output(out_sym)\n                    # add pairs\n                    if partition_transition is not None:\n                        q.append((partition_transition.target, blue_transition.target))\n                        partition_transition.count += blue_transition.count\n                    else:\n                        # blue child is blue after merging if there is a red state in blue's partition\n                        partition_transition = TransitionInfo(blue_transition.target, blue_transition.count, None, 0)\n                        partition_transitions[out_sym] = partition_transition\n                        # update predecessor of blue child\n                        blue_target_partition = update_partition(blue_transition.target, None)\n                        blue_target_partition.predecessor = red\n\n        partitioning.score = self.score_calc.score_function(partitioning.full_mapping)\n        return partitioning\n\n\ndef run_GSM(data: list, *,\n            output_behavior: OutputBehavior = \"moore\",\n            transition_behavior: TransitionBehavior = \"deterministic\",\n            score_calc: ScoreCalculation = None,\n            pta_preprocessing: Callable[[GsmNode], GsmNode] = None,\n            postprocessing: Callable[[GsmNode], GsmNode] = None,\n            compatibility_on_pta: bool = False,\n            compatibility_on_futures: bool = False,\n            node_order: Callable[[GsmNode, GsmNode], bool] = None,\n            consider_only_min_blue=False,\n            depth_first=False,\n            instrumentation=None,\n            convert=True,\n            data_format=None,\n            ):\n    \"\"\"\n    Performs a state merging algorithm in the red-blue framework on provided data.\n\n    Args:\n        data: Data used for learning. Recorded behavior of the system.\n\n        output_behavior: Specifies whether outputs are emitted by states (\"moore\") or transitions (\"mealy\").\n\n        transition_behavior: Either \"deterministic\", \"nondeterministic\" or \"stochastic\".\n\n        score_calc: A ScoreCalculation object which determines how compatibility and merge scores are calculated.\n\n        pta_preprocessing: A pre-processing function applied to the PTA.\n\n        postprocessing: A postprocessing function applied to the learned automaton.\n\n        compatibility_on_pta: Whether compatibility is evaluated on the PTA or the current hypothesis.\n\n        compatibility_on_futures: Whether compatibility is evaluated using the futures of both states or all partition information.\n\n        node_order: Order in which merge candidates are considered. Defaults to short-lex.\n\n        consider_only_min_blue: Whether to consider merge candidates from all blue nodes or just a single.\n\n        depth_first: Whether compatibility is checked depth- or breadth-first.\n\n        instrumentation: Instrumentation object for reporting progress or debugging.\n\n        convert: Whether to return a normal AALpy automaton type or a `GsmNode` object (internal representation).\n\n        data_format: Whether the input is given in the form of input-output traces or labeled input traces.\n\n    Returns: The learned automaton.\n    \"\"\"\n    # instantiate gsm\n    gsm = GeneralizedStateMerging(\n        output_behavior=output_behavior,\n        transition_behavior=transition_behavior,\n        score_calc=score_calc,\n        pta_preprocessing=pta_preprocessing,\n        postprocessing=postprocessing,\n        compatibility_on_pta=compatibility_on_pta,\n        compatibility_on_futures=compatibility_on_futures,\n        node_order=node_order,\n        consider_only_min_blue=consider_only_min_blue,\n        depth_first=depth_first,\n    )\n\n    # run the algorithm\n    return gsm.run(data=data, instrumentation=instrumentation, convert=convert, data_format=data_format)\n"
  },
  {
    "path": "aalpy/learning_algs/general_passive/GsmAlgorithms.py",
    "content": "from typing import Dict, Union\n\nfrom aalpy import DeterministicAutomaton, Onfsm, NDMooreMachine\nfrom aalpy.learning_algs.general_passive.GeneralizedStateMerging import run_GSM\nfrom aalpy.learning_algs.general_passive.Instrumentation import ProgressReport\nfrom aalpy.learning_algs.general_passive.GsmNode import GsmNode\nfrom aalpy.learning_algs.general_passive.ScoreFunctionsGSM import ScoreCalculation, hoeffding_compatibility, \\\n    ScoreWithKTail\nfrom aalpy.utils.HelperFunctions import dfa_from_moore\n\n\ndef run_EDSM(data, automaton_type, input_completeness=None, print_info=True) -> Union[DeterministicAutomaton, None]:\n    \"\"\"\n    Run Evidence Driven State Merging.\n\n    Args:\n        data: sequence of input sequences and corresponding label. Eg. [[(i1,i2,i3, ...), label], ...]\n        automaton_type: either 'dfa', 'mealy', 'moore'. Note that for 'mealy' machine learning, data has to be prefix-closed.\n        input_completeness: either None, 'sink_state', or 'self_loop'. If None, learned model could be input incomplete,\n        sink_state will lead all undefined inputs form some state to the sink state, whereas self_loop will simply create\n        a self loop. In case of Mealy learning output of the added transition will be 'epsilon'.\n        print_info: print learning progress and runtime information\n\n    Returns:\n\n        Model conforming to the data, or None if data is non-deterministic.\n\n    \"\"\"\n    assert automaton_type in {'dfa', 'mealy', 'moore'}\n    assert input_completeness in {None, 'self_loop', 'sink_state'}\n\n    print_level = ProgressReport(1) if print_info else None\n\n    def EDSM_score(part: Dict[GsmNode, GsmNode]):\n        nr_partitions = len(set(part.values()))\n        nr_merged = len(part)\n        return nr_merged - nr_partitions\n\n    score = ScoreCalculation(score_function=EDSM_score)\n\n    internal_automaton_type = 'moore' if automaton_type != 'mealy' else automaton_type\n\n    learned_model = run_GSM(data, output_behavior=internal_automaton_type,\n                            transition_behavior=\"deterministic\",\n                            score_calc=score, data_format='labeled_sequences', instrumentation=print_level)\n\n    if automaton_type == 'dfa':\n        learned_model = dfa_from_moore(learned_model)\n\n    if not learned_model.is_input_complete():\n        if not input_completeness:\n            if print_info:\n                print('Warning: Learned Model is not input complete (inputs not defined for all states). '\n                      'Consider calling .make_input_complete()')\n        else:\n            if print_info:\n                print(f'Learned model was not input complete. Adapting it with {input_completeness} transitions.')\n            learned_model.make_input_complete(input_completeness)\n\n    return learned_model\n\n\ndef run_k_tails(data, automaton_type, k, input_completeness=None, print_info=True) -> Union[\n    Onfsm, NDMooreMachine, None]:\n    \"\"\"\n    Runs k-tails.\n\n    Args:\n\n        data: sequence of input-output traces\n\n        automaton_type: either 'mealy' or 'moore'. Note that the data has to be prefix-closed, and the resulting model\n                        could be non-deterministic.\n\n        k: depth until which to check node compatibility\n\n        input_completeness: either None, 'sink_state', or 'self_loop'. If None, learned model could be input incomplete,\n\n        sink_state will lead all undefined inputs form some state to the sink state, whereas self_loop will simply create\n\n        a self loop. In case of Mealy learning output of the added transition will be 'epsilon'.\n\n        print_info: print learning progress and runtime information\n\n    Returns:\n\n        Model conforming to the data such that future compatibility is checked only until the depth of k.\n\n    \"\"\"\n    assert automaton_type in {'mealy', 'moore'}\n    assert input_completeness in {None, 'self_loop', 'sink_state'}\n\n    print_level = ProgressReport(1) if print_info else None\n\n    internal_automaton_type = 'moore' if automaton_type != 'mealy' else automaton_type\n\n    score = ScoreWithKTail(ScoreCalculation(GsmNode.deterministic_compatible), k)\n\n    learned_model = run_GSM(data, output_behavior=internal_automaton_type,\n                            transition_behavior=\"nondeterministic\",\n                            score_calc=score, data_format='io_traces', instrumentation=print_level)\n\n    if not learned_model.is_input_complete():\n        if not input_completeness:\n            if print_info:\n                print('Warning: Learned Model is not input complete (inputs not defined for all states). '\n                      'Consider calling .make_input_complete()')\n        else:\n            if print_info:\n                print(f'Learned model was not input complete. Adapting it with {input_completeness} transitions.')\n            learned_model.make_input_complete(input_completeness)\n\n    return learned_model\n\n\ndef run_Alergia_EDSM(data, automaton_type, eps=0.05, print_info=False):\n    \"\"\"\n    Run IoAlergia with EDSM on provided data.\n\n    Args:\n\n        data: [[O,(I,O),(I,O)...], [O,(I,O), (I, O)_,...],..,] if learning MDPs,\n        or [[I,O,I,O...], [I,O_,...],..,] if learning SMMs (I represent input, O output), or [[O, O, O], ...] if\n        learning Markov chains.\n        Note that when learning MDPs and MCs the first symbol of each entry should be the same (Initial output).\n\n        eps: epsilon value if you are using default HoeffdingCompatibility.\n\n        automaton_type: either 'mdp' if you wish to learn an MDP, or 'smm' if you want to learn stochastic Mealy machine\n\n        print_info: default False\n\n    Returns:\n\n        A Mc, Mdp or SMM\n    \"\"\"\n    from aalpy.utils.HelperFunctions import mc_format_to_mdp, mc_from_mdp\n\n    assert automaton_type in {'mc', 'mdp', 'smm',}\n\n    print_level = ProgressReport(1) if print_info else None\n\n    class IOAlergiaWithEDSM(ScoreCalculation):\n        def __init__(self, epsilon):\n            super().__init__()\n            self.ioa_compatibility = hoeffding_compatibility(epsilon)\n            self.evidence = 0\n\n        def reset(self):\n            self.evidence = 0\n\n        def local_compatibility(self, a: GsmNode, b: GsmNode):\n            self.evidence += 1\n            return self.ioa_compatibility(a, b)\n\n        def score_function(self, part: dict[GsmNode, GsmNode]):\n            return self.evidence\n\n    output_behaviour = 'moore' if automaton_type != 'smm' else 'mealy'\n\n    learning_data = data if automaton_type != 'mc' else mc_format_to_mdp(data)\n\n    learned_model = run_GSM(learning_data, output_behavior=output_behaviour, transition_behavior=\"stochastic\",\n                            score_calc=IOAlergiaWithEDSM(eps),\n                            compatibility_on_pta=True, compatibility_on_futures=True,\n                            instrumentation=print_level, data_format='io_traces')\n\n    if automaton_type == 'mc':\n        learned_model = mc_from_mdp(learned_model)\n\n    return learned_model\n"
  },
  {
    "path": "aalpy/learning_algs/general_passive/GsmNode.py",
    "content": "import functools\nimport math\nimport pathlib\nfrom collections import defaultdict\nfrom functools import total_ordering\nfrom typing import Dict, Any, List, Tuple, Iterable, Callable, Union, TypeVar, Iterator, Optional, Sequence\nimport pydot\nfrom copy import copy\n\nfrom aalpy.automata import StochasticMealyMachine, StochasticMealyState, MooreState, MooreMachine, NDMooreState, \\\n    NDMooreMachine, Mdp, MdpState, MealyMachine, MealyState, Onfsm, OnfsmState\nfrom aalpy.base import Automaton\n\nKey = TypeVar(\"Key\")\nVal = TypeVar(\"Val\")\n\nOutputBehavior = str\nOutputBehaviorRange = [\"moore\", \"mealy\"]\n\nTransitionBehavior = str\nTransitionBehaviorRange = [\"deterministic\", \"nondeterministic\", \"stochastic\"]\n\nDataFormat = str\nDataFormatRange = [\"io_traces\", \"labeled_sequences\", \"traces\", \"tree\"]\n\nIOPair = Tuple[Any, Any]\nIOTrace = Sequence[IOPair]\nIOExample = Tuple[Sequence[Any], Any]\n\nStateFunction = Callable[['GsmNode'], str]\nTransitionFunction = Callable[['GsmNode', Any, Any], str]\n\nunknown_output = None  # can be set to a special value if required\n\n\ndef intersection_iterator(a: Dict[Key, Val], b: Dict[Key, Val]) -> Iterator[Tuple[Key, Val, Val]]:\n    missing = object()\n    for key, a_val in a.items():\n        b_val = b.get(key, missing)\n        if b_val is missing:\n            continue\n        yield key, a_val, b_val\n\n\ndef union_iterator(a: Dict[Key, Val], b: Dict[Key, Val], default: Val = None) -> Iterator[Tuple[Key, Val, Val]]:\n    for key, a_val in a.items():\n        b_val = b.get(key, default)\n        yield key, a_val, b_val\n    for key, b_val in b.items():\n        if key in a:\n            continue\n        a_val = a.get(key, default)\n        yield key, a_val, b_val\n\n\n# TODO reuse in RPNI\ndef detect_data_format(data, check_consistency=False, guess=False):\n    # The different data formats are\n    # - \"tree\": a tree-shaped automaton provided as a GsmNode\n    # - \"io_traces\": either\n    #   - Moore traces [[o, (i,o), (i,o), ...], ...]\n    #   - Mealy traces [[(i,o), (i,o), ...], ...]\n    # - \"labeled_sequences\": [([i, i, ...], o), ...]\n    # - \"traces\": [[o, o, ...], ...]\n\n    if isinstance(data, GsmNode):\n        return \"tree\"\n\n    accepted_types = (Tuple, List)\n\n    # mapping data formats to compatibility criteria\n    check_dict = dict(\n        io_traces=lambda obj: len(obj) <= 1 or all(isinstance(o, accepted_types) and len(o) == 2 for o in obj[1:]),\n        labeled_sequences=lambda obj: len(obj) == 2 and isinstance(obj[0], accepted_types),\n    )\n    accept_dict = {k: True for k in check_dict}\n\n    if not isinstance(data, accepted_types):\n        raise ValueError(\"wrong input format. expected tuple or list.\")\n    if len(data) == 0:\n        return \"io_traces\"\n\n    accepted_formats = list(accept_dict.keys())\n    for data_point in data:\n        if not isinstance(data_point, accepted_types):\n            raise ValueError(\"wrong input format. expected tuple or list.\")\n        for k, check in check_dict.items():\n            accept_dict[k] &= check(data_point)\n        accepted_formats = [k for k, v in accept_dict.items() if v]\n        if len(accepted_formats) == 1 and not check_consistency:\n            return accepted_formats[0]\n        if len(accepted_formats) == 0:\n            return \"traces\" # default to traces\n            #raise ValueError(\"invalid or inconsistent data. no options left\")\n    if len(accepted_formats) != 1 and not guess:\n        raise ValueError(\"ambiguous data format. data format needs to be specified explicitly.\")\n    return accepted_formats[0]\n\n\n# TODO maybe split this for maintainability (and perfomance?)\nclass TransitionInfo:\n    __slots__ = [\"target\", \"count\", \"original_target\", \"original_count\"]\n\n    def __init__(self, target, count, original_target, original_count):\n        self.target: 'GsmNode' = target\n        self.count: int = count\n        self.original_target: 'GsmNode' = original_target\n        self.original_count: int = original_count\n\n\n# TODO add custom pickling code that flattens the Node structure in order to circumvent running into recursion issues for large models\n@total_ordering\nclass GsmNode:\n    \"\"\"\n    Generic class for observably deterministic automata.\n\n    The prefix is given as (minimal) list of IO pairs leading to that state.\n    We assume an initial transition to the initial state, which has to be reflected in the prefix.\n    This way, the output of the initial state for Moore machines can be encoded in its prefix.\n\n    Transition count is preferred over state count as it allows to easily count transitions for non-tree-shaped automata\n    \"\"\"\n    __slots__ = ['transitions', 'predecessor', 'prefix_access_pair']\n\n    def __init__(self, prefix_access_pair, predecessor: 'GsmNode' = None):\n        # TODO try single dict\n        self.transitions: defaultdict[Any, Dict[Any, TransitionInfo]] = defaultdict(dict)\n        self.predecessor: GsmNode = predecessor\n        self.prefix_access_pair = prefix_access_pair\n\n    def __lt__(self, other, compare_length_only=False):\n        own_l, other_l = self.get_prefix_length(), other.get_prefix_length()\n        if own_l != other_l:\n            return own_l < other_l\n        if compare_length_only:\n            return False\n        own_p = self.get_prefix()\n        other_p = other.get_prefix()\n        try:\n            return own_p < other_p\n        except TypeError:\n            return [str(x) for x in own_p] < [str(x) for x in other_p]\n\n    # TODO implicit prefixes as currently implemented require O(length) time for prefix calculations (e.g. to determine the minimal blue node)\n    # other options would be to have more efficient explicit prefixes such as shared list representations\n    def get_prefix_length(self):\n        node = self\n        length = 0\n        while node.predecessor:\n            node = node.predecessor\n            length += 1\n        return length\n\n    def get_prefix_output(self):\n        return self.prefix_access_pair[1]\n\n    def get_prefix_input(self):\n        return self.prefix_access_pair[0]\n\n    def resolve_unknown_prefix_output(self, value):\n        if self.get_prefix_output() is unknown_output:\n            self.prefix_access_pair = (self.get_prefix_input(), value)\n\n    def get_prefix(self, include_output=True):\n        node = self\n        prefix = []\n        while node.predecessor:\n            symbol = node.prefix_access_pair\n            if not include_output:\n                symbol = symbol[0]\n            prefix.append(symbol)\n            node = node.predecessor\n        prefix.reverse()\n        return prefix\n\n    def get_root(self):\n        current = self\n        while current.predecessor:\n            current = current.predecessor\n        return current\n\n    def get_or_create_transitions(self, in_sym) -> Dict[Any, TransitionInfo]:\n        t = self.transitions.get(in_sym)\n        if t is None:\n            t = dict()\n            self.transitions[in_sym] = t\n        return t\n\n    def transition_iterator(self) -> Iterable[Tuple[Any, Any, TransitionInfo]]:\n        for in_sym, transitions in self.transitions.items():\n            for out_sym, node in transitions.items():\n                yield in_sym, out_sym, node\n\n    def shallow_copy(self) -> 'GsmNode':\n        node = GsmNode(self.prefix_access_pair, self.predecessor)\n        for in_sym, t in self.transitions.items():\n            d = dict() # appears to be faster than dict comprehension\n            for out_sym, ti in t.items():\n                d[out_sym] = TransitionInfo(ti.target, ti.count, ti.original_target, ti.original_count)\n            node.transitions[in_sym] = d\n        return node\n\n    def get_by_prefix(self, seq: IOTrace) -> Optional['GsmNode']:\n        node: GsmNode = self\n        for in_sym, out_sym in seq:\n            if in_sym is None:  # ignore initial transition of Node.get_prefix()\n                continue\n            trans = node.transitions.get(in_sym)\n            if trans is None:\n                return None\n            t_info = trans.get(out_sym)\n            if t_info is None:\n                return None\n            node = t_info.target\n        return node\n\n    def get_all_nodes(self) -> List['GsmNode']:\n        result = [self]\n        backing_set = {self}\n        for state in result:\n            for _, _, transition in state.transition_iterator():\n                child = transition.target\n                if child not in backing_set:\n                    backing_set.add(child)\n                    result.append(child)\n        return result\n\n    def is_tree(self):\n        q: List['GsmNode'] = [self]\n        backing_set = {self}\n        while len(q) != 0:\n            current = q.pop(0)\n            for _, _, transition in current.transition_iterator():\n                child = transition.target\n                if child in backing_set:\n                    return False\n                q.append(child)\n                backing_set.add(child)\n        return True\n\n    def to_automaton(self, output_behavior: OutputBehavior, transition_behavior: TransitionBehavior,\n                     check_behavior=True, set_prefix=False) -> Automaton:\n        nodes = self.get_all_nodes()\n\n        if check_behavior:\n            if output_behavior == \"moore\" and not self.is_moore():\n                raise ValueError(\"Tried to obtain Moore machine from non-Moore structure\")\n            if transition_behavior == \"deterministic\" and not self.is_deterministic():\n                raise ValueError(\"Tried to obtain deterministic automaton from non-deterministic structure\")\n\n        type_dict = {\n            (\"moore\", \"deterministic\"): (MooreMachine, MooreState),\n            (\"moore\", \"nondeterministic\"): (NDMooreMachine, NDMooreState),\n            (\"moore\", \"stochastic\"): (Mdp, MdpState),\n            (\"mealy\", \"deterministic\"): (MealyMachine, MealyState),\n            (\"mealy\", \"nondeterministic\"): (Onfsm, OnfsmState),\n            (\"mealy\", \"stochastic\"): (StochasticMealyMachine, StochasticMealyState),\n        }\n\n        AutomatonClass, StateClass = type_dict[(output_behavior, transition_behavior)]\n\n        # create states\n        state_map = dict()\n        for i, node in enumerate(nodes):\n            state_id = f's{i}'\n            if output_behavior == \"mealy\":\n                state = StateClass(state_id)\n            elif output_behavior == \"moore\":\n                state = StateClass(state_id, node.get_prefix_output())\n            state_map[node] = state\n            if set_prefix:\n                if transition_behavior == \"deterministic\":\n                    state.prefix = tuple(p[0] for p in node.get_prefix())\n                else:\n                    state.prefix = tuple(node.get_prefix())\n            else:\n                state.prefix = None\n\n        initial_state = state_map[self]\n\n        # add transitions\n        for node in nodes:\n            state = state_map[node]\n            for in_sym, transitions in node.transitions.items():\n                total = sum(t.count for t in transitions.values())\n                for out_sym, target_node in transitions.items():\n                    target_state = state_map[target_node.target]\n                    count = target_node.count\n                    if AutomatonClass is MooreMachine:\n                        state.transitions[in_sym] = target_state\n                    elif AutomatonClass is MealyMachine:\n                        state.transitions[in_sym] = target_state\n                        state.output_fun[in_sym] = out_sym\n                    elif AutomatonClass is NDMooreMachine:\n                        state.transitions[in_sym].append(target_state)\n                    elif AutomatonClass is Onfsm:\n                        state.transitions[in_sym].append((out_sym, target_state))\n                    elif AutomatonClass is Mdp:\n                        state.transitions[in_sym].append((target_state, count / total))\n                    elif AutomatonClass is StochasticMealyMachine:\n                        state.transitions[in_sym].append((target_state, out_sym, count / total))\n\n        return AutomatonClass(initial_state, list(state_map.values()))\n\n    def visualize(self, path: Union[str, pathlib.Path], output_behavior: OutputBehavior = \"mealy\", format: str = \"dot\",\n                  engine=\"dot\", *,\n                  state_label: StateFunction = None, state_color: StateFunction = None,\n                  trans_label: TransitionFunction = None, trans_color: TransitionFunction = None,\n                  state_props: Dict[str, StateFunction] = None,\n                  trans_props: Dict[str, TransitionFunction] = None,\n                  node_naming: StateFunction = None):\n\n        # handle default parameters\n        if output_behavior not in [\"moore\", \"mealy\", None]:\n            raise ValueError(f\"Invalid OutputBehavior {output_behavior}\")\n        if state_props is None:\n            state_props = dict()\n        if trans_props is None:\n            trans_props = dict()\n        if state_label is None:\n            if output_behavior == \"moore\":\n                def state_label(node: GsmNode):\n                    return f'{node.get_prefix_output()} {node.count()}'\n            else:\n                def state_label(node: GsmNode):\n                    return f'{sum(t.count for _, _, t in node.transition_iterator())}'\n        if trans_label is None and \"label\" not in trans_props:\n            if output_behavior == \"moore\":\n                def trans_label(node: GsmNode, in_sym, out_sym):\n                    return f'{in_sym} [{node.transitions[in_sym][out_sym].count}]'\n            else:\n                def trans_label(node: GsmNode, in_sym, out_sym):\n                    return f'{in_sym} / {out_sym} [{node.transitions[in_sym][out_sym].count}]'\n        if state_color is None:\n            def state_color(x): return \"black\"\n        if trans_color is None:\n            def trans_color(x, y, z): return \"black\"\n        if node_naming is None:\n            node_dict = dict()\n\n            def node_naming(node: GsmNode):\n                if node not in node_dict:\n                    node_dict[node] = f\"s{len(node_dict)}\"\n                return node_dict[node]\n        state_props = {\"label\": state_label, \"color\": state_color, \"fontcolor\": state_color, **state_props}\n        trans_props = {\"label\": trans_label, \"color\": trans_color, \"fontcolor\": trans_color, **trans_props}\n\n        # create new graph\n        graph = pydot.Dot('automaton', graph_type='digraph')\n\n        # graph.add_node(pydot.Node(str(self.prefix), label=state_label(self)))\n        nodes = self.get_all_nodes()\n\n        # add nodes\n        for node in nodes:\n            arg_dict = {key: fun(node) for key, fun in state_props.items()}\n            graph.add_node(pydot.Node(node_naming(node), **arg_dict))\n\n        # add transitions\n        for node in nodes:\n            for in_sym, options in node.transitions.items():\n                for out_sym, c in options.items():\n                    arg_dict = {key: fun(node, in_sym, out_sym) for key, fun in trans_props.items()}\n                    graph.add_edge(pydot.Edge(node_naming(node), node_naming(c.target), **arg_dict))\n\n        # add initial state\n        # TODO maybe add option to parameterize this\n        graph.add_node(pydot.Node('__start0', shape='none', label=''))\n        graph.add_edge(pydot.Edge('__start0', node_naming(self), label=''))\n\n        file_ext = format\n        if format == 'dot':\n            format = 'raw'\n        if format == 'raw':\n            file_ext = 'dot'\n        graph.write(path=str(path) + \".\" + file_ext, prog=engine, format=format)\n\n    def make_input_complete(self) -> List[Tuple['GsmNode', Any, Any]]:\n        all_nodes = self.get_all_nodes()\n        inputs = {in_sym for node in all_nodes for in_sym in node.transitions}\n        missing_trans = []\n        for node in all_nodes:\n            for in_sym in inputs:\n                transitions = node.transitions[in_sym]\n                if len(transitions) == 0:\n                    out_sym = node.prefix_access_pair[1]\n                    missing_trans.append((node, in_sym, out_sym))\n                    t_info = TransitionInfo(node, 1, None, None)\n                    transitions[out_sym] = t_info\n        return missing_trans\n\n    def add_trace(self, trace: IOTrace):\n        curr_node: GsmNode = self\n        for in_sym, out_sym in trace:\n            transitions = curr_node.transitions[in_sym]\n            info = transitions.get(out_sym)\n            if info is None:\n                node = GsmNode((in_sym, out_sym), curr_node)\n                transitions[out_sym] = TransitionInfo(node, 1, node, 1)\n            else:\n                info.count += 1\n                info.original_count += 1\n                node = info.target\n            curr_node = node\n\n    def add_labeled_sequence(self, example: IOExample):\n        inputs, output = example\n        curr_node: GsmNode = self\n        in_sym = None\n\n        # step through inputs and add transitions\n        for in_sym in inputs:\n            transitions = curr_node.transitions[in_sym]\n            t_infos = list(transitions.values())\n            if len(t_infos) == 0:\n                node = GsmNode((in_sym, unknown_output), curr_node)\n                t_info = TransitionInfo(node, 1, node, 1)\n                transitions[unknown_output] = t_info\n            elif len(t_infos) == 1:\n                t_info = t_infos[0]\n                t_info.count += 1\n                t_info.original_count += 1\n                node = t_info.target\n            else:\n                # This should never happen\n                raise ValueError(\"Nondeterminism encountered for GSM with labeled_sequences. not supported\")\n            curr_node = node\n\n        # set last output\n        curr_node.resolve_unknown_prefix_output(output)\n        pred = curr_node.predecessor\n        if pred:\n            transitions = pred.transitions[in_sym]\n            if unknown_output in transitions:\n                transitions[output] = transitions.pop(unknown_output)\n            if output not in transitions:\n                raise ValueError(\"nondeterminism encountered for GSM with labeled_sequences. not supported\")\n\n    @staticmethod\n    def createPTA(data, output_behavior, data_format=None) -> 'GsmNode':\n        if data_format is None:\n            data_format = detect_data_format(data)\n        if data_format not in DataFormatRange:\n            raise ValueError(f\"invalid data format {data_format}. should be in {DataFormatRange}\")\n\n        if data_format == \"tree\":\n            if not data.is_tree():\n                raise ValueError(\"provided automaton is not a tree\")\n            return data\n        root_node = GsmNode((None, unknown_output), None)\n        if data_format == \"labeled_sequences\":\n            for example in data:\n                root_node.add_labeled_sequence(example)\n        if data_format == \"io_traces\" or data_format == \"traces\":\n            if output_behavior == \"moore\":\n                initial_output = data[0][0]\n                root_node.prefix_access_pair = (None, initial_output)\n                data = (d[1:] for d in data)\n            for trace in data:\n                if data_format == \"traces\":\n                    trace = ((\"step\", t) for t in trace)\n                root_node.add_trace(trace)\n        return root_node\n\n    def is_locally_deterministic(self):\n        return all(len(item) == 1 for item in self.transitions.values())\n\n    def is_deterministic(self):\n        return all(node.is_locally_deterministic() for node in self.get_all_nodes())\n\n    def deterministic_compatible(self, other: 'GsmNode'):\n        for _, trans_self, trans_other in intersection_iterator(self.transitions, other.transitions):\n            if unknown_output in trans_self or unknown_output in trans_other:\n                continue\n            if trans_self.keys() != trans_other.keys():\n                return False\n        return True\n\n    def is_moore(self):\n        for node in self.get_all_nodes():\n            for in_sym, out_sym, transition in node.transition_iterator():\n                child_output = transition.target.get_prefix_output()\n                if out_sym is not unknown_output and child_output != out_sym:\n                    return False\n        return True\n\n    def moore_compatible(self, other: 'GsmNode'):\n        so = self.get_prefix_output()\n        oo = other.get_prefix_output()\n        return so == oo or so is unknown_output or oo is unknown_output\n\n    def local_log_likelihood_contribution(self):\n        llc = 0\n        for in_sym, trans in self.transitions.items():\n            total_count = 0\n            for out_sym, info in trans.items():\n                total_count += info.count\n                llc += info.count * math.log(info.count)\n            if total_count != 0:\n                llc -= total_count * math.log(total_count)\n        return llc\n\n    def count(self):\n        return sum(trans.count for _, _, trans in self.transition_iterator())\n\n    default_order = functools.cmp_to_key(lambda a, b: -1 if a < b else 1)\n"
  },
  {
    "path": "aalpy/learning_algs/general_passive/Instrumentation.py",
    "content": "from time import perf_counter\nfrom typing import Dict, Optional\n\nfrom aalpy.learning_algs.general_passive.GeneralizedStateMerging import Instrumentation, Partitioning, \\\n    GeneralizedStateMerging\nfrom aalpy.learning_algs.general_passive.GsmNode import GsmNode\n\n\nclass ProgressReport(Instrumentation):\n    def __init__(self, lvl):\n        super().__init__()\n        self.lvl = lvl\n        if lvl < 1:\n            return\n        self.gsm: Optional[GeneralizedStateMerging] = None\n        self.log = []\n        self.pta_size = None\n        self.nr_merged_states_total = 0\n        self.nr_merged_states = 0\n        self.nr_red_states = 0\n\n        self.stats = dict()\n\n        self.previous_time = None\n\n    def reset(self, gsm: GeneralizedStateMerging):\n        self.gsm = gsm\n        self.log = []\n        self.pta_size = None\n        self.nr_merged_states_total = 0\n        self.nr_merged_states = 0\n        self.nr_red_states = 0\n\n        self.stats = dict()\n        self.previous_time = perf_counter()\n\n    def pta_construction_done(self, root):\n        pta_const_time = perf_counter() - self.previous_time\n        self.stats[\"pta creation time\"] = pta_const_time\n        print(f'PTA Construction Time: {round(pta_const_time, 2)} s')\n        if 0 < self.lvl:\n            states = root.get_all_nodes()\n            leafs = [state for state in states if len(state.transitions.keys()) == 0]\n            depth = [state.get_prefix_length() for state in leafs]\n            self.pta_size = len(states)\n            if 1 < self.lvl:\n                print(f'PTA has {len(states)} states leading to {len(leafs)} leafs')\n                print(f'min / avg / max depth : {min(depth)} / {sum(depth) / len(depth)} / {max(depth)}')\n        self.previous_time = perf_counter()\n\n    def print_status(self):\n        reset_char = \"\\33[2K\\r\"\n        print_str = reset_char + f'Current automaton size: {self.nr_red_states}'\n        if 0 < self.lvl and not self.gsm.compatibility_on_futures:\n            print_str += f' Merged: {self.nr_merged_states_total} Remaining: {self.pta_size - self.nr_red_states - self.nr_merged_states_total}'\n        print(print_str, end=\"\")\n\n    def log_promote(self, node: GsmNode):\n        self.log.append([\"promote\", (node.get_prefix(),)])\n        self.nr_red_states += 1\n        self.print_status()\n\n    def log_merge(self, part: Partitioning):\n        self.log.append([\"merge\", (part.red.get_prefix(), part.blue.get_prefix())])\n        self.nr_merged_states_total += len(part.full_mapping) - len(part.red_mapping)\n        self.nr_merged_states += 1\n        self.print_status()\n\n    def learning_done(self, root: GsmNode):\n        learning_time = perf_counter() - self.previous_time\n        self.stats[\"learning time\"] = learning_time\n        self.stats[\"total time\"] = learning_time + self.stats[\"pta creation time\"]\n        print(f'\\nLearning Time: {round(learning_time, 2)} s')\n        print(f'Learned {self.nr_red_states} state automaton via {self.nr_merged_states} merges.')\n        if 2 < self.lvl:\n            root.visualize(\"model\", self.gsm.output_behavior)\n\n\nclass MergeViolationDebugger(Instrumentation):\n    def __init__(self, ground_truth: GsmNode):\n        super().__init__()\n        self.root = ground_truth\n        self.map: Dict[GsmNode, GsmNode] = dict()\n        self.log = []\n        self.gsm: Optional[GeneralizedStateMerging] = None\n\n    def reset(self, gsm: GeneralizedStateMerging):\n        self.gsm = gsm\n        self.map = dict()\n        self.log = []\n\n    def log_promote(self, new_red: GsmNode):\n        new_red_prefix = new_red.get_prefix()\n        node = self.root.get_by_prefix(new_red_prefix)\n        old_red = self.map.get(node)\n        if old_red is None:\n            self.map[node] = new_red\n            self.log.append((\"promote\", new_red_prefix))\n        elif old_red is not new_red:\n            print(f\"Erroneous promotion detected:\")\n            print(f\"  Ground truth: {node.get_prefix()}\")\n            print(f\"  Representative (old): {old_red.get_prefix()}\")\n            print(f\"  Representative (new): {new_red_prefix}\")\n            self.log.append((\"wrong promote\", new_red_prefix))\n\n    def log_merge(self, part: Partitioning):\n        red_prefix = part.red.get_prefix()\n        blue_prefix = part.blue.get_prefix()\n        red_node = self.root.get_by_prefix(red_prefix)\n        blue_node = self.root.get_by_prefix(blue_prefix)\n        if red_node is None or blue_node is None:\n            self.log.append((\"broken merge\", red_prefix, blue_prefix))\n        elif red_node is blue_node:\n            self.log.append((\"merge\", red_prefix, blue_prefix))\n        else:\n            print(f\"Erroneous merge detected:\")\n            print(f\"  PTA red: {red_prefix}\")\n            print(f\"  PTA blue: {blue_prefix}\")\n            print(f\"  real red: {red_node.get_prefix()}\")\n            print(f\"  real blue: {blue_node.get_prefix()}\")\n            self.log.append((\"wrong merge\", red_prefix, blue_prefix))\n"
  },
  {
    "path": "aalpy/learning_algs/general_passive/ScoreFunctionsGSM.py",
    "content": "from math import sqrt, log\nfrom typing import Callable, Dict, List, Iterable, Any\n\nfrom aalpy.learning_algs.general_passive.GsmNode import GsmNode, intersection_iterator, union_iterator, TransitionInfo\n\nLocalCompatibilityFunction = Callable[[GsmNode, GsmNode], bool]\nScoreFunction = Callable[[Dict[GsmNode, GsmNode]], Any]\nAggregationFunction = Callable[[Iterable], Any]\n\n\nclass ScoreCalculation:\n    def __init__(self, local_compatibility: LocalCompatibilityFunction = None, score_function: ScoreFunction = None):\n        # This is a hack that gives a simple implementation where we can easily - determine whether the default is\n        # overridden (for optimization) - override behavior in a functional way by providing the functions as\n        # arguments (no extra class) - override behavior in a stateful way by implementing a new class that provides\n        # `local_compatibility` and / or `score_function` methods\n        if not hasattr(self, \"local_compatibility\"):\n            self.local_compatibility: LocalCompatibilityFunction = local_compatibility or self.default_local_compatibility\n        if not hasattr(self, \"score_function\"):\n            self.score_function: ScoreFunction = score_function or self.default_score_function\n\n    def reset(self):\n        pass\n\n    @staticmethod\n    def default_local_compatibility(a: GsmNode, b: GsmNode):\n        return True\n\n    @staticmethod\n    def default_score_function(part: Dict[GsmNode, GsmNode]):\n        return True\n\n    def has_score_function(self):\n        return self.score_function is not self.default_score_function\n\n    def has_local_compatibility(self):\n        return self.local_compatibility is not self.default_local_compatibility\n\n\ndef hoeffding_compatibility(eps, compare_original=True) -> LocalCompatibilityFunction:\n    eps_fact = sqrt(0.5 * log(2 / eps))\n    count_name = \"original_count\" if compare_original else \"count\"\n    transition_dummy = TransitionInfo(None, 0, None, 0)\n\n    def similar(a: GsmNode, b: GsmNode):\n        # iterate over inputs that are common to both states\n        for in_sym, a_trans, b_trans in intersection_iterator(a.transitions, b.transitions):\n            # could create appropriate dict here\n            a_total, b_total = (sum(getattr(x, count_name) for x in trans.values()) for trans in (a_trans, b_trans))\n            if a_total == 0 or b_total == 0:\n                continue  # parameter combinations require this check\n            threshold = eps_fact * (sqrt(1 / a_total) + sqrt(1 / b_total))\n            # iterate over outputs that appear in either distribution\n            for out_sym, a_info, b_info in union_iterator(a_trans, b_trans, transition_dummy):\n                ac, bc = (getattr(x, count_name) for x in (a_info, b_info))\n                if abs(ac / a_total - bc / b_total) > threshold:\n                    return False\n        return True\n\n    return similar\n\n\nclass ScoreWithKTail(ScoreCalculation):\n    \"\"\"Applies k-Tails to a compatibility function: Compatibility is only evaluated up to a certain depth k.\"\"\"\n\n    def __init__(self, other_score: ScoreCalculation, k: int):\n        super().__init__(None, other_score.score_function)\n        self.other_score = other_score\n        self.k = k\n\n        self.depth_offset = None\n\n    def reset(self):\n        self.other_score.reset()\n        self.depth_offset = None\n\n    def local_compatibility(self, a: GsmNode, b: GsmNode):\n        # assuming b is tree shaped.\n        if self.depth_offset is None:\n            self.depth_offset = b.get_prefix_length()\n        depth = b.get_prefix_length() - self.depth_offset\n        if self.k <= depth:\n            return True\n\n        return self.other_score.local_compatibility(a, b)\n\n\nclass ScoreWithSinks(ScoreCalculation):\n    \"\"\"This class allows rejecting merge candidates based on additional criteria for the initial merge\"\"\"\n    \n    def __init__(self, other_score: ScoreCalculation, sink_cond: Callable[[GsmNode], bool], allow_sink_merge=True):\n        super().__init__(None, other_score.score_function)\n        self.other_score = other_score\n        self.sink_cond = sink_cond\n        self.allow_sink_merge = allow_sink_merge\n\n        self.is_first = True\n\n    def reset(self):\n        self.other_score.reset()\n        self.is_first = True\n\n    def local_compatibility(self, a: GsmNode, b: GsmNode):\n        if self.is_first:\n            self.is_first = False\n            a_sink, b_sink = self.sink_cond(a), self.sink_cond(b)\n            if a_sink != b_sink:\n                return False\n            if a_sink and b_sink and not self.allow_sink_merge:\n                return False\n        return self.other_score.local_compatibility(a, b)\n\n\nclass ScoreCombinator(ScoreCalculation):\n    \"\"\"\n    This class is used to combine several scoring / compatibility mechanisms by aggregating the results of the\n    individual methods in a user defined manner. It uses generator expressions to allow for short circuit evaluation.\n    \"\"\"\n\n    def __init__(self, scores: List[ScoreCalculation], aggregate_compatibility: AggregationFunction = None,\n                 aggregate_score: AggregationFunction = None):\n        super().__init__()\n        self.scores = scores\n        self.aggregate_compatibility = aggregate_compatibility or self.default_aggregate_compatibility\n        self.aggregate_score = aggregate_score or self.default_aggregate_score\n\n    def reset(self):\n        for score in self.scores:\n            score.reset()\n\n    def local_compatibility(self, a: GsmNode, b: GsmNode):\n        return self.aggregate_compatibility(score.local_compatibility(a, b) for score in self.scores)\n\n    def score_function(self, part: Dict[GsmNode, GsmNode]):\n        return self.aggregate_score(score.score_function(part) for score in self.scores)\n\n    @staticmethod\n    def default_aggregate_compatibility(compatibility_iterable):\n        \"\"\"Commits to the first value that is not inconclusive (== None). Accepts if in doubt.\"\"\"\n        for compat in compatibility_iterable:\n            if compat is None:\n                continue\n            return compat\n        return True\n\n    @staticmethod\n    def default_aggregate_score(score_iterable):\n        return list(score_iterable)\n\n\ndef local_to_global_compatibility(local_fun: LocalCompatibilityFunction) -> ScoreFunction:\n    \"\"\"\n    Converts a local compatibility function to a global score function by evaluating the local compatibility for each of\n    the new partitions with all nodes that make up that partition. One use case for this is to evaluate a local score\n    function after the partitions are complete. The order of arguments for the local compatibility function is\n    partition, original.\n    \"\"\"\n\n    def fun(part: Dict[GsmNode, GsmNode]):\n        for old_node, new_node in part.items():\n            if local_fun(new_node, old_node) is False:  # Follows local_fun(red, blue)\n                return False\n        return True\n\n    return fun\n\n\ndef differential_info(part: Dict[GsmNode, GsmNode]):\n    relevant_nodes_old = list(part.keys())\n    relevant_nodes_new = set(part.values())\n\n    partial_llh_old = sum(node.local_log_likelihood_contribution() for node in relevant_nodes_old)\n    partial_llh_new = sum(node.local_log_likelihood_contribution() for node in relevant_nodes_new)\n\n    num_params_old = sum(1 for node in relevant_nodes_old for _ in node.transition_iterator())\n    num_params_new = sum(1 for node in relevant_nodes_new for _ in node.transition_iterator())\n\n    return partial_llh_old - partial_llh_new, num_params_old - num_params_new\n\n\ndef transform_score(score, transform: Callable):\n    if isinstance(score, Callable):\n        return lambda *args: transform(score(*args))\n    if isinstance(score, ScoreCalculation):\n        score.score_function = lambda *args: transform(score.score_function(*args))\n        return score\n    return transform(score)\n\n\ndef make_greedy(score):\n    return transform_score(score, lambda x: x is not False)\n\n\ndef lower_threshold(score, thresh):\n    return transform_score(score, lambda x: x if thresh < x else False)\n\n\ndef AIC_score(alpha=0) -> ScoreFunction:\n    def score(part: Dict[GsmNode, GsmNode]):\n        llh_diff, param_diff = differential_info(part)\n        return lower_threshold(param_diff - llh_diff, alpha)\n\n    return score\n\n\ndef EDSM_frequency_score(min_evidence=-1) -> ScoreFunction:\n    def score(part: Dict[GsmNode, GsmNode]):\n        total_evidence = 0\n        for old_node, new_node in part.items():\n            for in_sym, trans_old, trans_new in intersection_iterator(old_node.transitions, new_node.transitions):\n                for out_sym, t_info_old, t_info_new in intersection_iterator(trans_old, trans_new):\n                    if t_info_old.count != t_info_new.count:\n                        total_evidence += t_info_old.count\n        return lower_threshold(total_evidence, min_evidence)\n\n    return score\n\n\ndef EDSM_score(min_evidence=-1) -> ScoreFunction:\n    def score(part: Dict[GsmNode, GsmNode]):\n        nr_partitions = len(set(part.values()))\n        nr_merged = len(part)\n        return lower_threshold(nr_merged - nr_partitions, min_evidence)\n\n    return score\n"
  },
  {
    "path": "aalpy/learning_algs/general_passive/__init__.py",
    "content": ""
  },
  {
    "path": "aalpy/learning_algs/non_deterministic/AbstractedOnfsmLstar.py",
    "content": "import time\n\nfrom aalpy.base import SUL, Oracle\nfrom aalpy.learning_algs.non_deterministic.AbstractedOnfsmObservationTable import AbstractedNonDetObservationTable\nfrom aalpy.learning_algs.non_deterministic.NonDeterministicSULWrapper import NonDeterministicSULWrapper\nfrom aalpy.utils.HelperFunctions import print_learning_info, print_observation_table\n\nprint_options = [0, 1, 2, 3]\n\n\ndef run_abstracted_ONFSM_Lstar(alphabet: list, sul: SUL, eq_oracle: Oracle, abstraction_mapping: dict, n_sampling=100,\n                               max_learning_rounds=None, return_data=False, print_level=2):\n    \"\"\"\n    Based on ''Learning Abstracted Non-deterministic Finite State Machines'' from Pferscher and Aichernig.\n    The algorithm learns an abstracted onfsm of a non-deterministic system. For the additional abstraction,\n    equivalence classes for outputs are used.\n    Learning ONFSM relies on all-weather assumption. If this assumption is not satisfied by sampling,\n    learning might not converge to the minimal model and runtime could increase substantially.\n    Note that this is the inherent flaw of the all-weather assumption. (All outputs will be seen)\n    AALpy v.2.0 will try to solve that problem with a novel approach.\n\n    Args:\n\n        alphabet: input alphabet\n\n        sul: system under learning\n\n        eq_oracle: equivalence oracle\n\n        abstraction_mapping: dictionary containing mappings from abstracted to concrete values (equivalence classes)\n\n        n_sampling: number of times that membership/input queries will be asked for each cell in the observation\n            (Default value = 100)\n\n        max_learning_rounds: if max_learning_rounds is reached, learning will stop (Default value = None)\n\n        return_data: if True, map containing all information like number of queries... will be returned\n            (Default value = False)\n\n        print_level: 0 - None, 1 - just results, 2 - current round and hypothesis size, 3 - educational/debug\n            (Default value = 2)\n\n    Returns:\n        learned abstracted ONFSM\n\n    \"\"\"\n    start_time = time.time()\n    eq_query_time = 0\n    learning_rounds = 0\n    hypothesis = None\n\n    sul = NonDeterministicSULWrapper(sul)\n    eq_oracle.sul = sul\n\n    abstracted_observation_table = AbstractedNonDetObservationTable(alphabet, sul, abstraction_mapping, n_sampling)\n\n    # We fist query the initial row. Then based on output in its cells, we generate new rows in S.A,\n    # and then we perform membership/input queries for them.\n    abstracted_observation_table.update_obs_table()\n    new_rows = abstracted_observation_table.update_extended_S()\n    abstracted_observation_table.update_obs_table(s_set=new_rows)\n\n    while True:\n        learning_rounds += 1\n        if max_learning_rounds and learning_rounds - 1 == max_learning_rounds:\n            break\n\n        closed_complete_consistent = False\n        while not closed_complete_consistent:\n            closed_complete_consistent = True\n\n            row_to_close = abstracted_observation_table.get_row_to_close()\n            while row_to_close is not None:\n                # First we add new rows to the S.A. They are added based on the values in the cells of the\n                # rows that is to be closed. Once those rows are created, they are populated and closedness is checked\n                # once again.\n                closed_complete_consistent = False\n                extended_rows = abstracted_observation_table.update_extended_S(row_to_close)\n                abstracted_observation_table.update_obs_table(s_set=extended_rows)\n                row_to_close = abstracted_observation_table.get_row_to_close()\n\n            row_to_complete = abstracted_observation_table.get_row_to_complete()\n            while row_to_complete is not None:\n                closed_complete_consistent = False\n                abstracted_observation_table.extend_S_dot_A([row_to_complete])\n                abstracted_observation_table.update_obs_table(s_set=[row_to_complete])\n                row_to_complete = abstracted_observation_table.get_row_to_complete()\n\n            e_column_for_consistency = abstracted_observation_table.get_row_to_make_consistent()\n            while e_column_for_consistency is not None:\n                closed_complete_consistent = False\n                extended_col = abstracted_observation_table.update_E(e_column_for_consistency)\n                abstracted_observation_table.update_obs_table(e_set=extended_col)\n                e_column_for_consistency = abstracted_observation_table.get_row_to_make_consistent()\n\n        abstracted_observation_table.clean_tables()\n        hypothesis = abstracted_observation_table.gen_hypothesis()\n\n        if print_level == 3:\n            print('Observation Table')\n            print_observation_table(abstracted_observation_table.observation_table, 'non-det')\n            print()\n            print('Abstracted Observation Table')\n            # CHANGED, but not important to alg\n            print_observation_table(abstracted_observation_table, 'abstracted-non-det')\n\n        if print_level > 1:\n            print(f'Hypothesis {learning_rounds} has {len(hypothesis.states)} states.')\n\n        # Find counterexample\n        eq_query_start = time.time()\n        cex = eq_oracle.find_cex(hypothesis)\n        eq_query_time += time.time() - eq_query_start\n\n        if cex is None:\n            break\n\n        if print_level >= 2:\n            print('Counterexample', cex)\n\n        # Process counterexample -> add cex to S.A or E\n        abstracted_observation_table.cex_processing(cex, hypothesis)\n\n    total_time = round(time.time() - start_time, 2)\n    eq_query_time = round(eq_query_time, 2)\n    learning_time = round(total_time - eq_query_time, 2)\n\n    info = {\n        'learning_rounds': learning_rounds,\n        'automaton_size': len(hypothesis.states),\n        'queries_learning': sul.num_queries,\n        'steps_learning': sul.num_steps,\n        'queries_eq_oracle': eq_oracle.num_queries,\n        'steps_eq_oracle': eq_oracle.num_steps,\n        'learning_time': learning_time,\n        'eq_oracle_time': eq_query_time,\n        'total_time': total_time\n    }\n\n    if print_level > 0:\n        print_learning_info(info)\n\n    if return_data:\n        return hypothesis, info\n\n    return hypothesis\n"
  },
  {
    "path": "aalpy/learning_algs/non_deterministic/AbstractedOnfsmObservationTable.py",
    "content": "from collections import defaultdict\n\nfrom aalpy.automata import Onfsm, OnfsmState\nfrom aalpy.learning_algs.non_deterministic.OnfsmObservationTable import NonDetObservationTable\nfrom aalpy.learning_algs.non_deterministic.NonDeterministicSULWrapper import NonDeterministicSULWrapper\nfrom aalpy.utils.HelperFunctions import all_suffixes, extend_set\n\n\nclass AbstractedNonDetObservationTable:\n    def __init__(self, alphabet: list, sul: NonDeterministicSULWrapper, abstraction_mapping: dict, n_sampling=100):\n        \"\"\"\n        Construction of the abstracted non-deterministic observation table.\n\n        Args:\n\n            alphabet: input alphabet\n            sul: system under learning\n            abstraction_mapping: map that translates outputs to abstracted outputs\n            n_sampling: number of samples to be performed for each cell\n        \"\"\"\n\n        assert alphabet is not None and sul is not None\n\n        self.observation_table = NonDetObservationTable(alphabet, sul, n_sampling)\n\n        self.S = list()\n        self.S_dot_A = []\n        self.E = []\n        self.T = defaultdict(dict)\n        self.A = [tuple([a]) for a in alphabet]\n\n        self.abstraction_mapping = abstraction_mapping\n        self.sul = sul\n\n        empty_word = tuple()\n        self.S.append((empty_word, empty_word))\n\n    def update_obs_table(self, s_set=None, e_set: list = None):\n        \"\"\"\n        Perform the membership queries and abstraction on observation table\n        With  the  all-weather  assumption,  each  output  query  is  tried  a  number  of  times  on  the  system,\n        and  the  driver  reports  the  set  of  all  possible  outputs.\n\n        Args:\n\n            s_set: Prefixes of S set on which to preform membership queries (Default value = None)\n            e_set: Suffixes of E set on which to perform membership queries\n\n\n        \"\"\"\n\n        self.observation_table.query_missing_observations(s_set, e_set)\n        self.abstract_obs_table()\n        self.clean_obs_table()\n\n    def abstract_obs_table(self):\n        \"\"\"\n        Creation of abstracted observation table. The provided abstraction mapping is used to\n        replace outputs by abstracted outputs.\n        \"\"\"\n\n        self.S = self.observation_table.S\n        self.S_dot_A = list(set(self.observation_table.get_extended_S()).union(set(self.S_dot_A) - set(self.S)))\n        self.E = self.observation_table.E\n\n        update_S = self.S + self.S_dot_A\n        update_E = self.E\n\n        for s in update_S:\n            for e in update_E:\n                for o_tup in self.get_all_outputs(s, e):\n                    abstracted_outputs = []\n                    o_tup = tuple([o_tup])\n                    for outputs in o_tup:\n                        for o in outputs:\n                            abstract_output = self.get_abstraction(o)\n                            abstracted_outputs.append(abstract_output)\n                    self.add_to_T(s, e, tuple(abstracted_outputs))\n\n    def add_to_T(self, s, e, value):\n        \"\"\"\n        Add values to the cell at T[s][e].\n\n        Args:\n\n            s: prefix\n            e: element of S\n            value: value to be added to the cell\n\n\n        \"\"\"\n        if e not in self.T[s]:\n            self.T[s][e] = set()\n        self.T[s][e].add(value)\n\n    # CHANGED\n    # helper function\n    def get_all_outputs(self, s, e):\n        cell_outputs = set()\n        cell_outputs.update(self.sul.cache.get_all_traces(s, e))\n        return cell_outputs\n\n    def update_extended_S(self, row_prefix=None):\n        \"\"\"\n        Helper generator function that returns extended S, or S.A set.\n        For all values in the cell, create a new row where inputs is parent input plus element of alphabet, and\n        output is parent output plus value in cell.\n\n        Returns:\n\n            New rows of extended S set.\n        \"\"\"\n        return self.observation_table.get_extended_S(row_prefix=row_prefix)\n\n    def get_row_to_close(self):\n        \"\"\"\n        Get row for that needs to be closed.\n\n        Returns:\n\n            row that will be moved to S set and closed\n        \"\"\"\n        s_rows = set()\n        for s in self.S:\n            s_rows.add(self.row_to_hashable(s))\n\n        for t in self.S_dot_A:\n            row_t = self.row_to_hashable(t)\n\n            if row_t not in s_rows:\n                self.S.append(t)\n                self.S_dot_A.remove(t)\n                return t\n\n        return None\n\n    def get_row_to_complete(self):\n        \"\"\"\n        Get row for that needs to be completed.\n\n        Returns:\n\n            row that will be added to S.A\n        \"\"\"\n\n        s_rows = set()\n        for s in self.S:\n            s_rows.add(tuple((s, self.row_to_hashable(s))))\n\n        for s_row in s_rows:\n            similar_s_dot_a_rows = []\n            for t in self.S_dot_A:\n                row_t = self.row_to_hashable(t)\n                if row_t == s_row[1]:\n                    similar_s_dot_a_rows.append(t)\n            similar_s_dot_a_rows.sort(key=lambda row: len(row[0]))\n            for a in self.A:\n                complete_outputs = self.get_all_outputs(s_row[0], a)\n                for similar_s_dot_a_row in similar_s_dot_a_rows:\n                    t_row_outputs = self.get_all_outputs(similar_s_dot_a_row, a)\n                    output_difference = t_row_outputs.difference(complete_outputs)\n                    if len(output_difference) > 0:\n                        for o in output_difference:\n                            extension = (similar_s_dot_a_row[0] + a, similar_s_dot_a_row[1] + tuple([o[0]]))\n                            if extension not in self.S and extension not in self.S_dot_A:\n                                return extension\n                            else:\n                                complete_outputs = complete_outputs.union(output_difference)\n\n        return None\n\n    def get_row_to_make_consistent(self):\n        \"\"\"\n        Get row that violates consistency.\n        \"\"\"\n        unified_S = self.S + self.S_dot_A\n        s_rows = set()\n        for s in self.S:\n            s_rows.add(tuple((s, self.row_to_hashable(s))))\n\n        for s_row in s_rows:\n            similar_s_dot_a_rows = []\n            for t in self.S_dot_A:\n                row_t = self.row_to_hashable(t)\n                if row_t == s_row[1]:\n                    similar_s_dot_a_rows.append(t)\n\n            similar_s_dot_a_rows.sort(key=lambda row: len(row[0]))\n\n            for a in self.A:\n                # CHANGED\n                #                 outputs = self.observation_table.T[s_row[0]][a]\n                outputs = self.get_all_outputs(s_row[0], a)\n                for o in outputs:\n                    extended_s_sequence = (s_row[0][0] + a, s_row[0][1] + tuple([o]))\n                    if extended_s_sequence in unified_S:\n                        extended_s_sequence_row = self.row_to_hashable(extended_s_sequence)\n                        for similar_s_dot_a_row in similar_s_dot_a_rows:\n                            extended_s_dot_a_sequence = (\n                                similar_s_dot_a_row[0] + a, similar_s_dot_a_row[1] + tuple([o]))\n                            if extended_s_dot_a_sequence in unified_S:\n                                extended_s_dot_a_sequence_row = self.row_to_hashable(extended_s_dot_a_sequence)\n                                if extended_s_sequence_row is not extended_s_dot_a_sequence_row:\n                                    return self.get_distinctive_input_sequence(extended_s_sequence,\n                                                                               extended_s_dot_a_sequence, a)\n\n        return None\n\n    def get_distinctive_input_sequence(self, first_row, second_row, inp):\n        \"\"\"\n        get input sequence that leads to a different output sequence for two given input/output sequences\n\n        Args:\n\n            first_row: row to be compared\n            second_row: row to be compared\n            inp: appended input to first_row and second_row that leads to different state \n\n        Returns:\n\n            input sequence that leads to different outputs\n\n        \"\"\"\n        for e in self.E:\n            if len(self.T[first_row][e].difference(self.T[second_row][e])) > 0:\n                return tuple([inp]) + e\n\n        return None\n\n    def update_E(self, seq):\n        if seq not in self.E:\n            self.E.append(seq)\n\n    def clean_obs_table(self):\n        \"\"\"\n        Moves duplicates from S to S_dot_A. The entries in S_dot_A which are based on the moved row get deleted.\n        The table will be smaller and more efficient.\n\n        \"\"\"\n        # just for testing without cleaning\n        # return False\n\n        tmp_S = self.S.copy()\n        tmp_both_S = self.S + self.S_dot_A\n        hashed_rows_from_s = set()\n\n        tmp_S.sort(key=lambda t: len(t[0]))\n\n        for s in tmp_S:\n            hashed_s_row = self.row_to_hashable(s)\n            if hashed_s_row in hashed_rows_from_s:\n                if s in self.S:\n                    self.S.remove(s)\n                    self.observation_table.S.remove(s)\n                size = len(s[0])\n                for row_prefix in tmp_both_S:\n                    s_both_row = (row_prefix[0][:size], row_prefix[1][:size])\n                    if s != row_prefix and s == s_both_row:\n                        if row_prefix in self.S:\n                            self.S.remove(row_prefix)\n                            self.observation_table.S.remove(s)\n            else:\n                hashed_rows_from_s.add(hashed_s_row)\n\n    def row_to_hashable(self, row_prefix):\n        \"\"\"\n        Creates the hashable representation of the row. Frozenset is used as the order of element in each cell does not\n        matter\n\n        Args:\n\n            row_prefix: prefix of the row in the observation table\n\n        Returns:\n\n            hashable representation of the row\n\n        \"\"\"\n        row_repr = tuple()\n        for e in self.E:\n            # if e in self.T[row_prefix].keys():\n            row_repr += (frozenset(self.T[row_prefix][e]),)\n        return row_repr\n\n    def gen_hypothesis(self) -> Onfsm:\n        \"\"\"\n        Generate automaton based on the values found in the abstracted observation table.\n\n        Returns:\n\n            Current abstracted hypothesis\n\n        \"\"\"\n        state_distinguish = dict()\n        states_dict = dict()\n        initial = None\n\n        unified_S = self.S + self.S_dot_A\n\n        stateCounter = 0\n        for prefix in self.S:\n            state_id = f's{stateCounter}'\n            states_dict[prefix] = OnfsmState(state_id)\n\n            states_dict[prefix].prefix = prefix\n            state_distinguish[self.row_to_hashable(prefix)] = states_dict[prefix]\n\n            if prefix == self.S[0]:\n                initial = states_dict[prefix]\n            stateCounter += 1\n\n        for prefix in self.S:\n            similar_rows = []\n            for row in unified_S:\n                if self.row_to_hashable(row) == self.row_to_hashable(prefix):\n                    similar_rows.append(row)\n            for row in similar_rows:\n                for a in self.A:\n                    for t in self.get_all_outputs(row, a):\n                        s_entry = (row[0] + a, row[1] + t)\n                        if s_entry in unified_S:\n                            state_in_S = state_distinguish[self.row_to_hashable(s_entry)]\n\n                            if (t[0], state_in_S) not in states_dict[prefix].transitions[a[0]]:\n                                states_dict[prefix].transitions[a[0]].append((t[0], state_in_S))\n\n        assert initial\n        automaton = Onfsm(initial, [s for s in states_dict.values()])\n        automaton.characterization_set = self.E\n\n        return automaton\n\n    def extend_S_dot_A(self, cex_prefixes: list):\n        \"\"\"\n        Extends S.A based on counterexample prefixes.\n\n        Args:\n\n        cex_prefixes: input/output sequences that are added to S.A\n\n        Returns:\n\n        input/output sequences that have been added to the S.A\n        \"\"\"\n        prefixes = self.S + self.S_dot_A\n        prefixes_to_extend = []\n        for cex_prefix in cex_prefixes:\n            if cex_prefix not in prefixes:\n                prefixes_to_extend.append(cex_prefix)\n                self.S_dot_A.append(cex_prefix)\n        return prefixes_to_extend\n\n    def get_abstraction(self, out):\n        \"\"\"\n        Get an abstraction for a concrete output. If such abstraction is not defined, return output.\n\n        Args:\n\n            out: output to be abstracted if possible\n\n        Returns:\n\n            abstracted output or output itself\n        \"\"\"\n        return self.abstraction_mapping[out] if out in self.abstraction_mapping.keys() else out\n\n    def cex_processing(self, cex: tuple, hypothesis: Onfsm):\n        \"\"\"\n        Add counterexample to the observation table. If the counterexample leads to a state where an output of the\n        same equivalence class already exists, the prefixes of the counterexample are added to S.A.\n        Otherwise, the postfixes of counterexample are added to E.\n\n\n        Args:\n\n            cex: counterexample that should be added to the observation table\n            hypothesis: onfsm that implements the counterexample\n        \"\"\"\n\n        cex_len = len(cex[0])\n        hypothesis.reset_to_initial()\n\n        for step in range(0, cex_len - 1):\n            hypothesis.step_to(cex[0][step], cex[1][step])\n\n        possible_outputs = hypothesis.outputs_on_input(cex[0][cex_len - 1])\n\n        equivalent_output = False\n\n        for out in possible_outputs:\n            abstracted_out = self.get_abstraction(out)\n            abstracted_out_cex = self.get_abstraction(cex[1][cex_len - 1])\n            if abstracted_out_cex == abstracted_out:\n                equivalent_output = True\n                break\n\n        if equivalent_output:\n            # add prefixes of cex to S_dot_A\n            cex_prefixes = [(tuple(cex[0][0:i + 1]), tuple(cex[1][0:i + 1])) for i in range(0, len(cex[0]))]\n            prefixes_to_extend = self.extend_S_dot_A(cex_prefixes)\n\n            # CHANGED: REMOVED\n            # self.observation_table.S_dot_A.extend(prefixes_to_extend)\n            self.update_obs_table(s_set=prefixes_to_extend)\n        else:\n            # add distinguishing suffixes of cex to E\n            # CHANGED CEX PROX\n            # TODO: this will now not work as cex processing was changed\n            # cex_suffixes = non_det_longest_prefix_cex_processing(self.observation_table, cex)\n            cex_suffixes = all_suffixes(cex[0])\n\n            added_suffixes = extend_set(self.observation_table.E, cex_suffixes)\n            self.update_obs_table(e_set=added_suffixes)\n\n    def clean_tables(self):\n\n        self.observation_table.clean_obs_table()\n        self.abstract_obs_table()\n\n        update_S = self.S.copy()\n        whole_S = self.S + self.S_dot_A\n\n        update_S.sort()\n        update_S.sort(key=lambda t: len(t[0]))\n\n        s_rows = set()\n        for s in update_S:\n            hashed_s_row = self.row_to_hashable(s)\n            if hashed_s_row not in s_rows:\n                s_rows.add(hashed_s_row)\n            else:\n                size = len(s[0])\n                for row in whole_S:\n                    cmp_row = (row[0][:size], row[1][:size])\n                    if s == cmp_row:\n                        if row in self.S_dot_A:\n                            self.S_dot_A.remove(row)\n                        elif row in self.S:\n                            self.S.remove(row)\n\n                self.S_dot_A.append(s)\n                self.S.remove(s)\n"
  },
  {
    "path": "aalpy/learning_algs/non_deterministic/NonDeterministicSULWrapper.py",
    "content": "from aalpy.base import SUL\nfrom aalpy.learning_algs.non_deterministic.TraceTree import TraceTree\n\n\nclass NonDeterministicSULWrapper(SUL):\n    \"\"\"\n    Wrapper for non-deterministic SUL. After every step, input/output pair is added to the tree containing all traces.\n    \"\"\"\n\n    def __init__(self, sul: SUL):\n        super().__init__()\n        self.sul = sul\n        self.cache = TraceTree()\n\n    def pre(self):\n        self.cache.reset()\n        self.sul.pre()\n\n    def post(self):\n        self.sul.post()\n\n    def step(self, letter):\n        out = self.sul.step(letter)\n        self.cache.add_to_tree(letter, out)\n        return out\n"
  },
  {
    "path": "aalpy/learning_algs/non_deterministic/OnfsmLstar.py",
    "content": "import time\n\nfrom aalpy.base import SUL, Oracle\nfrom aalpy.learning_algs.non_deterministic.NonDeterministicSULWrapper import NonDeterministicSULWrapper\nfrom aalpy.learning_algs.non_deterministic.OnfsmObservationTable import NonDetObservationTable\nfrom aalpy.utils.HelperFunctions import print_learning_info, print_observation_table, \\\n    get_available_oracles_and_err_msg, all_suffixes\n\nprint_options = [0, 1, 2, 3]\n\navailable_oracles, available_oracles_error_msg = get_available_oracles_and_err_msg()\n\n\ndef run_non_det_Lstar(alphabet: list, sul: SUL, eq_oracle: Oracle, n_sampling=5, samples=None, stochastic=False,\n                      max_learning_rounds=None, return_data=False, print_level=2):\n    \"\"\"\n    A ONFSM learning algorithm that does not rely on all weather assumption (once an input is queried, all possible\n    outputs are observed).\n\n    Args:\n\n        alphabet: input alphabet\n\n        sul: system under learning\n\n        eq_oracle: equivalence oracle\n\n        n_sampling: number of times that each cell has to be updated. If this number is to low, all-weather condition\n            will not hold and learning will not converge to the correct model. (Default value = 50)\n\n        samples: input output sequences provided to learning algorithm. List of ((input sequence), (output sequence)).\n\n        stochastic: if True, non deterministic learning will be performed but probabilities will be added to the\n        returned model, making it a stochastic Mealy machine\n\n        max_learning_rounds: if max_learning_rounds is reached, learning will stop (Default value = None)\n\n        return_data: if True, map containing all information like number of queries... will be returned\n            (Default value = False)\n\n        print_level: 0 - None, 1 - just results, 2 - current round and hypothesis size, 3 - educational/debug\n            (Default value = 2)\n\n    Returns:\n        learned ONFSM\n\n    \"\"\"\n\n    start_time = time.time()\n    eq_query_time = 0\n    learning_rounds = 0\n\n    sul = NonDeterministicSULWrapper(sul)\n\n    if samples:\n        for inputs, outputs in samples:\n            sul.cache.add_trace(inputs, outputs)\n\n    eq_oracle.sul = sul\n\n    ot = NonDetObservationTable(alphabet, sul, n_sampling)\n\n    # Keep track of last counterexample and last hypothesis size\n    # With this data we can check if the extension of the E set lead to state increase\n    last_cex = None\n\n    hypothesis = None\n\n    while True:\n        if max_learning_rounds and learning_rounds - 1 == max_learning_rounds:\n            break\n\n        ot.S = list()\n        ot.S.append((tuple(), tuple()))\n        ot.query_missing_observations()\n\n        row_to_close = ot.get_row_to_close()\n        while row_to_close is not None:\n            ot.query_missing_observations()\n            row_to_close = ot.get_row_to_close()\n            ot.clean_obs_table()\n\n        hypothesis = ot.gen_hypothesis()\n\n        if counterexample_not_valid(hypothesis, last_cex):\n            cex = sul.cache.find_cex_in_cache(hypothesis)\n\n            if cex is None:\n                learning_rounds += 1\n                # Find counterexample\n                if print_level > 1:\n                    print(f'Hypothesis {learning_rounds}: {len(hypothesis.states)} states.')\n\n                if print_level == 3:\n                    print_observation_table(ot, 'non-det')\n\n                eq_query_start = time.time()\n                cex = eq_oracle.find_cex(hypothesis)\n                eq_query_time += time.time() - eq_query_start\n\n            last_cex = cex\n        else:\n            cex = last_cex\n\n        if cex is None:\n            break\n        else:\n            cex_suffixes = all_suffixes(cex[0])\n            for suffix in cex_suffixes:\n                if suffix not in ot.E:\n                    ot.E.append(suffix)\n                    break\n\n    if stochastic:\n        hypothesis = ot.gen_hypothesis(stochastic=True)\n\n    total_time = round(time.time() - start_time, 2)\n    eq_query_time = round(eq_query_time, 2)\n    learning_time = round(total_time - eq_query_time, 2)\n\n    info = {\n        'learning_rounds': learning_rounds,\n        'automaton_size': len(hypothesis.states),\n        'queries_learning': sul.num_queries,\n        'steps_learning': sul.num_steps,\n        'queries_eq_oracle': eq_oracle.num_queries,\n        'steps_eq_oracle': eq_oracle.num_steps,\n        'learning_time': learning_time,\n        'eq_oracle_time': eq_query_time,\n        'total_time': total_time\n    }\n\n    if print_level > 0:\n        print_learning_info(info)\n\n    if return_data:\n        return hypothesis, info\n\n    return hypothesis\n\n\ndef counterexample_not_valid(hypothesis, cex):\n    if cex is None:\n        return True\n    hypothesis.reset_to_initial()\n    for i, o in zip(cex[0], cex[1]):\n        out = hypothesis.step_to(i, o)\n        if out is None:\n            return False\n    return True\n"
  },
  {
    "path": "aalpy/learning_algs/non_deterministic/OnfsmObservationTable.py",
    "content": "from collections import Counter\n\nfrom aalpy.automata import Onfsm, OnfsmState, StochasticMealyState, StochasticMealyMachine\nfrom aalpy.learning_algs.non_deterministic.NonDeterministicSULWrapper import NonDeterministicSULWrapper\n\n\nclass NonDetObservationTable:\n\n    def __init__(self, alphabet: list, sul: NonDeterministicSULWrapper, n_sampling):\n        \"\"\"\n        Construction of the non-deterministic observation table.\n\n        Args:\n\n            alphabet: input alphabet\n            sul: system under learning\n            n_sampling: number of samples to be performed for each cell\n        \"\"\"\n        assert alphabet is not None and sul is not None\n\n        self.alphabet = alphabet\n        self.A = [tuple([a]) for a in alphabet]\n        self.S = list()  # prefixes of S\n\n        self.E = [tuple([a]) for a in alphabet]\n\n        self.n_samples = n_sampling\n        self.closing_counter = 0\n\n        self.sul = sul\n\n        self.sampling_counter = Counter()\n\n        empty_word = tuple()\n\n        # Elements of S are in form that is presented in 'Learning Finite State Models of Observable Nondeterministic\n        # Systems in a Testing Context'. Each element of S is a (inputs, outputs) tuple, where first element of the\n        # tuple are inputs and second element of the tuple are outputs associated with inputs.\n        self.S.append((empty_word, empty_word))\n\n        self.pruned_nodes = set()\n\n    def get_row_to_close(self):\n        \"\"\"\n        Get row for that need to be closed.\n\n        Returns:\n\n            row that will be moved to S set and closed\n        \"\"\"\n\n        s_rows = set()\n        update_S_dot_A = self.get_extended_S()\n\n        for s in self.S.copy():\n            s_rows.add(self.row_to_hashable(s))\n\n        for t in update_S_dot_A:\n            row_t = self.row_to_hashable(t)\n            if row_t not in s_rows:\n                self.closing_counter += 1\n                self.S.append(t)\n                return t\n\n        self.closing_counter = 0\n        return None\n\n    def get_extended_S(self, row_prefix=None):\n        \"\"\"\n        Helper generator function that returns extended S, or S.A set.\n        For all values in the cell, create a new row where inputs is parent input plus element of alphabet, and\n        output is parent output plus value in cell.\n\n        Returns:\n\n            extended S set.\n        \"\"\"\n\n        rows = self.S if row_prefix is None else [row_prefix]\n\n        S_dot_A = []\n        for row in rows:\n            for a in self.A:\n                trace = self.sul.cache.get_all_traces(row, a)\n\n                for t in trace:\n                    new_row = (row[0] + a, row[1] + (t[-1],))\n                    if new_row not in self.S:\n                        S_dot_A.append(new_row)\n        return S_dot_A\n\n    def query_missing_observations(self, s=None, e=None):\n        s_set = s if s is not None else self.S + self.get_extended_S()\n        e_set = e if e is not None else self.E\n\n        for s in s_set:\n            for e in e_set:\n                while self.sul.cache.get_s_e_sampling_frequency(s, e) < self.n_samples:\n                    self.sul.query(s[0] + e)\n\n    def row_to_hashable(self, row_prefix):\n        \"\"\"\n        Creates the hashable representation of the row. Frozenset is used as the order of element in each cell does not\n        matter\n\n        Args:\n\n            row_prefix: prefix of the row in the observation table\n\n        Returns:\n\n            hashable representation of the row\n\n        \"\"\"\n        row_repr = tuple()\n\n        for e in self.E:\n            cell = self.sul.cache.get_all_traces(row_prefix, e)\n            while cell is None:\n                self.query_missing_observations([row_prefix], [e])\n                cell = self.sul.cache.get_all_traces(row_prefix, e)\n\n            row_repr += (frozenset(cell),)\n\n        return row_repr\n\n    def clean_obs_table(self):\n        \"\"\"\n        Moves duplicates from S to S_dot_A. The entries in S_dot_A which are based on the moved row get deleted.\n        The table will be smaller and more efficient.\n\n        \"\"\"\n\n        tmp_S = self.S.copy()\n        tmp_both_S = self.S + self.get_extended_S()\n        hashed_rows_from_s = set()\n\n        tmp_S.sort(key=lambda t: len(t[0]))\n\n        for s in tmp_S:\n            hashed_s_row = self.row_to_hashable(s)\n            if hashed_s_row in hashed_rows_from_s:\n                if s in self.S:\n                    self.S.remove(s)\n                size = len(s[0])\n                for row_prefix in tmp_both_S:\n                    s_both_row = (row_prefix[0][:size], row_prefix[1][:size])\n                    if s != row_prefix and s == s_both_row:\n                        if row_prefix in self.S:\n                            self.S.remove(row_prefix)\n            else:\n                hashed_rows_from_s.add(hashed_s_row)\n\n    def gen_hypothesis(self, stochastic=False):\n        \"\"\"\n        Generate automaton based on the values found in the observation table.\n        If stochastic is set to True, returns a Stochastic Mealy Machine.\n\n        Returns:\n\n            Current hypothesis\n        \"\"\"\n\n        state_distinguish = dict()\n        states_dict = dict()\n        initial = None\n\n        stateCounter = 0\n\n        state_class = OnfsmState if not stochastic else StochasticMealyState\n        model_class = Onfsm if not stochastic else StochasticMealyMachine\n\n        for prefix in self.S:\n            state_id = f's{stateCounter}'\n            states_dict[prefix] = state_class(state_id)\n\n            states_dict[prefix].prefix = prefix\n            state_distinguish[self.row_to_hashable(prefix)] = states_dict[prefix]\n\n            if prefix == self.S[0]:\n                initial = states_dict[prefix]\n            stateCounter += 1\n\n        for prefix in self.S:\n            for a in self.A:\n                observations_in_cell = self.sul.cache.get_all_traces(prefix, a)\n                probability_distribution = None\n                if stochastic:\n                    probability_distribution = self.sul.cache.get_sampling_distributions(prefix, a[0])\n                for obs in observations_in_cell:\n                    reached_row = (prefix[0] + a, prefix[1] + (obs[-1],))\n                    destination = state_distinguish[self.row_to_hashable(reached_row)]\n                    assert destination\n                    if not stochastic:\n                        states_dict[prefix].transitions[a[0]].append((obs[-1], destination))\n                    else:\n                        states_dict[prefix].transitions[a[0]].append((destination, obs[-1],\n                                                                      probability_distribution[obs[-1]]))\n\n        assert initial\n        automaton = model_class(initial, [s for s in states_dict.values()])\n        automaton.characterization_set = self.E\n\n        return automaton\n"
  },
  {
    "path": "aalpy/learning_algs/non_deterministic/TraceTree.py",
    "content": "from collections import defaultdict\n\n\nclass Node:\n    __slots__ = ['output', 'children', 'parent', 'frequency_counter']\n\n    def __init__(self, output):\n        self.output = output\n        self.children = defaultdict(list)\n        self.parent = None\n\n        # frq counter\n        self.frequency_counter = 0\n\n    def get_child(self, inp, out):\n        \"\"\"\n        Args:\n          inp:\n          out:\n\n        Returns:\n\n        \"\"\"\n        return next((child for child in self.children[inp] if child.output == out), None)\n\n    def get_prefix(self):\n        prefix = ()\n        curr_node = self\n        while curr_node.parent is not None:\n            prefix = (curr_node.output,) + prefix\n            curr_node = curr_node.parent\n        return prefix\n\n\nclass TraceTree:\n    \"\"\"\n    Tree used for keeping track of seen observations.\n    \"\"\"\n\n    def __init__(self):\n        self.root_node = Node(None)\n        self.curr_node = None\n\n    def reset(self):\n        self.curr_node = self.root_node\n\n    def add_to_tree(self, inp, out):\n        \"\"\"\n        Adds new element to tree and makes it the current node\n\n        Args:\n\n          inp: Input\n          out: Output\n\n        \"\"\"\n        if inp not in self.curr_node.children.keys() or \\\n                out not in {child.output for child in self.curr_node.children[inp]}:\n            node = Node(out)\n            self.curr_node.children[inp].append(node)\n            node.parent = self.curr_node\n\n        self.curr_node = self.curr_node.get_child(inp, out)\n        self.curr_node.frequency_counter += 1\n\n    def add_trace(self, inputs, outputs):\n        self.reset()\n        for i, o in zip(inputs, outputs):\n            self.add_to_tree(i, o)\n\n    def get_to_node(self, inputs, outputs):\n        \"\"\"\n        Follows the path described by inp and out and returns the node which is reached\n\n        Args:\n          inputs: Inputs\n          outputs: Outputs\n\n        Returns:\n\n          Node that is reached when following the given input and output through the tree\n        \"\"\"\n        curr_node = self.root_node\n        for i, o in zip(inputs, outputs):\n            node = curr_node.get_child(i, o)\n            if node is None:\n                return None\n            curr_node = node\n\n        return curr_node\n\n    def get_all_traces(self, prefix, e=None):\n        \"\"\"\n\n        Args:\n\n          prefix: prefix\n          e: List of inputs\n\n        Returns:\n\n          Traces of outputs corresponding to the input-sequence given by e\n        \"\"\"\n\n        if not prefix or not e:\n            return []\n\n        curr_node = self.root_node\n        for i, o in zip(prefix[0], prefix[1]):\n            curr_node = curr_node.get_child(i, o)\n            if curr_node is None:\n                return []\n\n        queue = [(curr_node, 0)]\n        reached_nodes = []\n        while queue:\n            node, depth = queue.pop(0)\n            if depth == len(e):\n                reached_nodes.append(node)\n            else:\n                children_with_same_input = node.children[e[depth]]\n                for c in children_with_same_input:\n                    queue.append((c, depth + 1))\n\n        cell = [node.get_prefix()[-len(e):] for node in reached_nodes]\n        return cell\n\n    def get_table(self, s, e):\n        \"\"\"\n        Generates a table from the tree\n\n        Args:\n          s: rows from S, S_dot_A, or both which should be presented in the table.\n          e: E\n\n        Returns:\n          a table in a format that can be used for printing.\n        \"\"\"\n        result = {}\n        for prefix in s:\n            result[prefix] = {}\n\n            for inp in e:\n                result[prefix][inp] = self.get_all_traces(prefix, inp)\n\n        return result\n\n    def find_cex_in_cache(self, hypothesis):\n\n        queue = [(self.root_node, tuple())]\n        while queue:\n            curr_node, path = queue.pop(0)\n\n            if path:\n                hypothesis.reset_to_initial()\n                inputs, outputs = [], []\n                for i, o in zip(path[0::2], path[1::2]):\n                    inputs.append(i)\n                    outputs.append(o)\n                    out = hypothesis.step_to(i, o)\n                    if out is None:\n                        return inputs, outputs\n            for inp in curr_node.children.keys():\n                children = curr_node.children[inp]\n                for child in children:\n                    # if curr_node.frequency_counter[(inp, child_out)] >= threshold:\n                    queue.append((child, path + (inp, child.output)))\n\n        return None\n\n    def get_s_e_sampling_frequency(self, prefix, suffix):\n        sampling_frequency = 0\n        curr_node = self.root_node\n        for i, o in zip(prefix[0], prefix[1]):\n            curr_node = curr_node.get_child(i, o)\n            if curr_node is None:\n                return 0\n\n        queue = [(curr_node, 0)]\n        while queue:\n            node, depth = queue.pop(0)\n            children_with_same_input = node.children[suffix[depth]]\n            if depth == len(suffix) - 1:\n                for c in children_with_same_input:\n                    sampling_frequency += c.frequency_counter\n            else:\n                for c in children_with_same_input:\n                    queue.append((c, depth + 1))\n\n        return sampling_frequency\n\n    def get_sampling_distributions(self, prefix, input_from_alphabet):\n        sampling_distribution = {}\n        curr_node = self.root_node\n        for i, o in zip(prefix[0], prefix[1]):\n            curr_node = curr_node.get_child(i, o)\n\n        children = curr_node.children[input_from_alphabet]\n        sampling_sum = sum(c.frequency_counter for c in children)\n        for c in children:\n            sampling_distribution[c.output] = c.frequency_counter / sampling_sum\n\n        return sampling_distribution\n"
  },
  {
    "path": "aalpy/learning_algs/non_deterministic/__init__.py",
    "content": ""
  },
  {
    "path": "aalpy/learning_algs/stochastic/DifferenceChecker.py",
    "content": "from abc import ABC, abstractmethod\nfrom math import sqrt, log\n\nchi2_table = dict()\n\nchi2_table[0.95] = \\\n    dict([(1, 3.841458820694124), (2, 5.991464547107979), (3, 7.814727903251179), (4, 9.487729036781154),\n          (5, 11.070497693516351), (6, 12.591587243743977), (7, 14.067140449340169), (8, 15.50731305586545),\n          (9, 16.918977604620448), (10, 18.307038053275146), (11, 19.67513757268249), (12, 21.02606981748307),\n          (13, 22.362032494826934), (14, 23.684791304840576), (15, 24.995790139728616), (16, 26.29622760486423),\n          (17, 27.58711163827534), (18, 28.869299430392623), (19, 30.14352720564616), (20, 31.410432844230918)])\nchi2_table[0.99] = \\\n    dict([(1, 6.6348966010212145), (2, 9.21034037197618), (3, 11.344866730144373), (4, 13.276704135987622),\n          (5, 15.08627246938899), (6, 16.811893829770927), (7, 18.475306906582357), (8, 20.090235029663233),\n          (9, 21.665994333461924), (10, 23.209251158954356), (11, 24.724970311318277), (12, 26.216967305535853),\n          (13, 27.68824961045705), (14, 29.141237740672796), (15, 30.57791416689249), (16, 31.999926908815176),\n          (17, 33.40866360500461), (18, 34.805305734705065), (19, 36.19086912927004), (20, 37.56623478662507)])\n\nchi2_table[0.999] = \\\n    dict([(1, 10.827566170662733), (2, 13.815510557964274), (3, 16.26623619623813), (4, 18.46682695290317),\n          (5, 20.515005652432873), (6, 22.457744484825323), (7, 24.321886347856854), (8, 26.12448155837614),\n          (9, 27.877164871256568), (10, 29.58829844507442), (11, 31.264133620239985), (12, 32.90949040736021),\n          (13, 34.52817897487089), (14, 36.12327368039813), (15, 37.69729821835383), (16, 39.252354790768464),\n          (17, 40.79021670690253), (18, 42.31239633167996), (19, 43.82019596451753), (20, 45.31474661812586)])\n\n\nclass DifferenceChecker(ABC):\n\n    @abstractmethod\n    def are_cells_different(self, c1: dict, c2: dict, **kwargs) -> bool:\n        pass\n\n    def difference_value(self, c1: dict, c2: dict):\n        return None\n\n    def use_diff_value(self):\n        return False\n\n\nclass HoeffdingChecker(DifferenceChecker):\n\n    def __init__(self, alpha=0.05):\n        self.alpha = alpha\n\n    def are_cells_different(self, c1: dict, c2: dict, **kwargs) -> bool:\n        if c1.keys() != c2.keys():\n            return True\n\n        n1 = sum(c1.values())\n        n2 = sum(c2.values())\n\n        if n1 > 0 and n2 > 0:\n            for o in c1.keys():\n                if abs(c1[o] / n1 - c2[o] / n2) > \\\n                        ((sqrt(1 / n1) + sqrt(1 / n2)) * sqrt(0.5 * log(2 / self.alpha))):\n                    return True\n        return False\n\n\ndef compute_epsilon(alpha1, n1):\n    epsilon1 = sqrt((1. / (2 * n1)) * log(2. / alpha1))\n    return epsilon1\n\n\nclass AdvancedHoeffdingChecker(DifferenceChecker):\n    def __init__(self, alpha=0.05, use_diff=False):\n        self.alpha = alpha\n        self.use_diff = use_diff\n\n    def are_cells_different(self, c1: dict, c2: dict, **kwargs) -> bool:\n        n1 = sum(c1.values())\n        n2 = sum(c2.values())\n\n        if n1 > 0 and n2 > 0:\n            for o in set(c1.keys()).union(c2.keys()):\n                c1o = c1[o] if o in c1.keys() else 0\n                c2o = c2[o] if o in c2.keys() else 0\n                alpha1 = self.alpha\n                alpha2 = self.alpha\n                epsilon1 = compute_epsilon(alpha1, n1)\n                epsilon2 = compute_epsilon(alpha2, n2)\n\n                if abs(c1o / n1 - c2o / n2) > epsilon1 + epsilon2:\n                    return True\n        return False\n\n    def use_diff_value(self):\n        return self.use_diff\n\n    def difference_value(self, c1_out_freq: dict, c2_out_freq: dict):\n        n1 = 0 if not c1_out_freq else sum(c1_out_freq.values())\n        n2 = 0 if not c2_out_freq else sum(c2_out_freq.values())\n\n        if n1 > 0 and n2 > 0:\n            dist = 0\n            for o in set(c1_out_freq.keys()).union(c2_out_freq.keys()):\n                c1o = c1_out_freq[o] if o in c1_out_freq.keys() else 0\n                c2o = c2_out_freq[o] if o in c2_out_freq.keys() else 0\n                dist += abs(c1o / n1 - c2o / n2)\n            return dist\n        elif n1 > 0 or n2 > 0:\n            alpha1 = self.alpha\n            alpha2 = self.alpha\n            epsilon1 = compute_epsilon(alpha1, max(n1, n2))\n            epsilon2 = compute_epsilon(alpha2, max(n1, n2))\n            return epsilon1 + epsilon2\n        else:\n            return 0\n\n\nclass ChiSquareChecker(DifferenceChecker):\n\n    def __init__(self, alpha=0.001, use_diff_value=False):\n        self.alpha = alpha\n        self.chi2_cache = dict()\n        if 1 - self.alpha not in chi2_table.keys():\n            raise ValueError(\"alpha must be in [0.01,0.001,0.05]\")\n        self.chi2_values = chi2_table[1 - self.alpha]\n        self.use_diff = use_diff_value\n\n    def are_cells_different(self, c1_out_freq: dict, c2_out_freq: dict, **kwargs) -> bool:\n        # chi square test for homogeneity (see, for instance: https://online.stat.psu.edu/stat415/lesson/17/17.1)\n        if not c1_out_freq or not c2_out_freq:\n            return False\n        keys = list(set(c1_out_freq.keys()).union(c2_out_freq.keys()))\n        dof = len(keys) - 1\n        if dof == 0:\n            return False\n        shared_keys = set(c1_out_freq.keys()).intersection(c2_out_freq.keys())\n        if len(shared_keys) == 0:\n            # if the supports of the tested frequencies are completely then chi2 makes no sense, use the Hoeffding test\n            # to determine if there are enough observations for a difference\n            hoeffding_checker = AdvancedHoeffdingChecker()\n            return hoeffding_checker.are_cells_different(c1_out_freq, c2_out_freq)\n\n        Q = self.compute_Q(c1_out_freq, c2_out_freq, keys)\n        if dof not in self.chi2_values.keys():\n            raise ValueError(\"Too many possible outputs, chi2 table needs to be extended.\")\n        else:\n            chi2_val = self.chi2_values[dof]\n\n        return Q >= chi2_val\n\n    def use_diff_value(self):\n        return self.use_diff\n\n    def difference_value(self, c1_out_freq: dict, c2_out_freq: dict):\n        if not c1_out_freq or not c2_out_freq:\n            # return a value on the threshold if we don't have information\n            c1_outs = set(c1_out_freq.keys()) if c1_out_freq else set()\n            c2_outs = set(c2_out_freq.keys()) if c2_out_freq else set()\n            nr_outs = len(c1_outs.union(c2_outs))\n            return self.chi2_values[max(1, nr_outs)]\n        keys = list(set(c1_out_freq.keys()).union(c2_out_freq.keys()))\n        shared_keys = set(c1_out_freq.keys()).intersection(c2_out_freq.keys())\n        dof = len(keys) - 1\n        if dof == 0:\n            return 0\n        Q = self.compute_Q(c1_out_freq, c2_out_freq, keys)\n        return Q\n\n    def compute_Q(self, c1_out_freq, c2_out_freq, keys):\n        n_1 = sum(c1_out_freq.values())\n        n_2 = sum(c2_out_freq.values())\n\n        Q = 0\n        default_val = 0\n        yates_correction = -0.5 if len(keys) == 2 and \\\n                                   any(c1_out_freq.get(k, 0) < 5 or c2_out_freq.get(k, 0) < 5 for k in keys) else 0\n        for k in keys:\n            p_hat_k = float(c1_out_freq.get(k, default_val) + c2_out_freq.get(k, default_val)) / (n_1 + n_2)\n            q_1_k = float(((abs(c1_out_freq.get(k, default_val) - n_1 * p_hat_k)) + yates_correction) ** 2) / (\n                    n_1 * p_hat_k)\n            q_2_k = float(((abs(c2_out_freq.get(k, default_val) - n_2 * p_hat_k)) + yates_correction) ** 2) / (\n                    n_2 * p_hat_k)\n            Q = Q + q_1_k + q_2_k\n        return Q\n"
  },
  {
    "path": "aalpy/learning_algs/stochastic/SamplingBasedObservationTable.py",
    "content": "from collections import defaultdict\n\nfrom aalpy.automata import Mdp, MdpState, StochasticMealyState, StochasticMealyMachine\nfrom .DifferenceChecker import DifferenceChecker\nfrom .StochasticTeacher import StochasticTeacher, Node\nfrom ...utils.HelperFunctions import is_suffix_of\n\n\nclass SamplingBasedObservationTable:\n    def __init__(self, input_alphabet: list, automaton_type, teacher: StochasticTeacher,\n                 compatibility_checker: DifferenceChecker,\n                 alpha=0.05, strategy='normal',\n                 cex_processing=None):\n        \"\"\"Constructor of the observation table. Initial queries are asked in the constructor.\n\n        Args:\n\n          input_alphabet: input alphabet\n          teacher: stochastic teacher\n          alpha: constant used in Hoeffding bound\n\n        \"\"\"\n        self.compatibility_checker = compatibility_checker\n        assert input_alphabet is not None and teacher is not None\n        self.automaton_type = automaton_type\n\n        self.input_alphabet = [tuple([a]) for a in input_alphabet]\n\n        self.S = list()  # prefixes of S\n        self.E = [tuple([a]) for a in input_alphabet]\n        self.T = defaultdict(dict)\n\n        self.teacher = teacher\n        self.empty_word = tuple()\n        self.alpha = alpha\n        self.strategy = strategy\n        self.cex_processing = cex_processing\n\n        # initial output\n        if automaton_type == 'mdp':\n            self.initial_output = tuple(teacher.initial_value)\n            self.S.append(self.initial_output)\n        else:\n            self.S.append(tuple())\n\n        # Cache\n        self.compatibility_classes_representatives = None\n        self.compatibility_class = dict()\n        self.freq_query_cache = dict()\n\n        self.unambiguity_values = []\n\n    def refine_not_completed_cells(self, n_resample, uniform=False):\n        \"\"\"\n        Firstly a prefix-tree acceptor is constructed for all non-completed cells and then that tree is used\n        for online testing/sampling.\n\n        Args:\n\n          uniform: if true, all cells will be uniformly sampled (Default value = False)\n          n_resample: Number of resamples\n\n        Returns:\n\n            False if no cells are to be refined, True if refining happened\n        \"\"\"\n        if self.automaton_type == 'mdp':\n            pta_root = Node(self.initial_output[0])\n        else:\n            pta_root = Node(None)\n\n        dynamic = 0\n        if self.strategy == 'classic':\n            to_refine = []\n            for s in self.S + list(self.get_extended_s()):\n                for e in self.E:\n                    if not self.teacher.complete_query(s, e):\n                        to_refine.append(s + e)\n\n            if not to_refine:\n                return False\n\n            to_refine.sort(key=len, reverse=True)\n\n            for trace in to_refine:\n                self.add_to_PTA(pta_root, trace)\n\n        else:\n            for s in self.S + list(self.get_extended_s()):\n                if uniform:\n                    for e in self.E:\n                        self.add_to_PTA(pta_root, s + e, 1)\n                else:\n                    for e in self.E:\n                        longest_row_trace_prefix = (s + e)[:-1]\n                        while longest_row_trace_prefix not in self.T.keys():\n                            longest_row_trace_prefix = longest_row_trace_prefix[:-1]\n                        row_repr = 0\n                        for r in self.compatibility_classes_representatives:\n                            if self.are_rows_compatible(longest_row_trace_prefix, r):\n                                row_repr += 1\n                        # row_repr can be zero for non-closed\n                        # (int(row_repr - 1 * 2))\n                        uncertainty_value = max((row_repr - 1) * 2, 1)\n                        dynamic += uncertainty_value\n                        self.add_to_PTA(pta_root, s + e, uncertainty_value)\n\n        resample_value = n_resample if self.strategy == 'classic' else max(dynamic // 2, 500)\n\n        for i in range(resample_value):\n            self.teacher.tree_query(pta_root)\n        return True\n\n    def update_obs_table_with_freq_obs(self, element_of_s=None):\n        \"\"\"\n        Updates cells in the observation table with frequency data. If the row in S has no extension yet, it is\n        generated and its cells populated.\n\n        Args:\n          element_of_s: if not None, selected row and its extensions will be updated (Default value = None)\n\n        Returns:\n\n        \"\"\"\n        if element_of_s:\n            s_set = element_of_s + list(self.get_extended_s(element_of_s=element_of_s))\n        else:\n            s_set = self.S + list(self.get_extended_s())\n        # s_set = element_of_s if  else self.S + list(self.get_extended_s())\n\n        for s in s_set:\n            for e in self.E:\n                self.T[s][e] = self.teacher.frequency_query(s, e)\n                self.freq_query_cache[s + e] = self.T[s][e]\n\n    def get_extended_s(self, element_of_s=None):\n        \"\"\"Generator returning all elements of the extended S set.\n\n        Args:\n          element_of_s:  (Default value = None)\n\n        Returns:\n\n        \"\"\"\n        s_set = element_of_s if element_of_s else self.S\n        for s in s_set:\n            for i in self.input_alphabet:\n                if s + i in self.freq_query_cache.keys():\n                    freq_dict = self.freq_query_cache[s + i]\n                else:\n                    freq_dict = self.teacher.frequency_query(s, i)\n                for out, freq in freq_dict.items():\n                    new_pref = s + i + tuple([out])\n                    if freq > 0 and new_pref not in self.S:\n                        yield new_pref\n\n    def make_closed_and_consistent(self):\n        \"\"\"\n        Observation table is updated until it is closed and consistent. Note that due the updated notion of row\n        equivalence no sampling is needed.\n        \"\"\"\n        self.update_compatibility_classes()\n\n        while True:\n            closed, consistent = False, False\n            row_to_close = self.get_row_to_close()\n            if not row_to_close:\n                closed = True\n            if row_to_close:\n                self.S.append(row_to_close)\n                self.update_obs_table_with_freq_obs(element_of_s=[row_to_close])\n                self.update_compatibility_classes()\n\n            consistency_violation = self.get_consistency_violation()\n            if not consistency_violation:\n                consistent = True\n            if consistency_violation:\n                if consistency_violation not in self.E:\n                    self.E.append(consistency_violation)\n                self.update_obs_table_with_freq_obs()\n                self.update_compatibility_classes()\n\n            if closed and consistent:\n                break\n\n    def get_row_to_close(self):\n        \"\"\"\n        Returns a row that is not closed.\n\n        Returns:\n\n            row that needs to be closed\n        \"\"\"\n        for lt in self.get_extended_s():\n            row_is_closed = False\n            for r in self.compatibility_classes_representatives:\n                if self.are_rows_compatible(r, lt):\n                    row_is_closed = True\n                    break\n            if not row_is_closed:\n                return lt\n        return None\n\n    def get_consistency_violation(self, ignore=None):\n        \"\"\"Find and return cause of consistency violation. Only computed on the compatibility class representatives.\n        :return: element of input + element of output + element of e that lead to the inconsistency\n\n        Args:\n          ignore:  (Default value = None)\n\n        Returns:\n\n            i + o + e that violate consistency\n        \"\"\"\n        if self.cex_processing is not None:\n            return None\n\n        for ind, s1 in enumerate(self.S):\n            for s2 in self.S[ind + 1:]:\n                if self.are_rows_compatible(s1, s2, ignore):\n                    i_o_pairs = [(i, tuple([o])) for i in self.input_alphabet for o in self.T[s1][i].keys()]\n                    for i, o in i_o_pairs:\n                        s1_keys = self.T[s1 + i + o].keys()\n                        s2_keys = self.T[s2 + i + o].keys()\n                        if not s1_keys or not s2_keys:\n                            continue\n\n                        for e in self.E:\n                            if e == ignore:\n                                continue\n                            if self.are_cells_incompatible(s1 + i + o, s2 + i + o, e):\n                                return i + o + e\n        return None\n\n    def get_representative(self, target):\n        \"\"\"\n\n        Args:\n          target: row in the observation table\n\n        Returns:\n          a representative compatible with the target\n\n        \"\"\"\n        if self.compatibility_checker.use_diff_value():\n            smallest_diff_value = 2 ** 32\n            best_rep = None\n            if target in self.compatibility_classes_representatives:\n                return target\n            for r in self.compatibility_classes_representatives:\n                if self.automaton_type == \"mdp\" and r[-1] != target[-1]:\n                    continue\n                if not self.are_rows_compatible(r, target):\n                    continue\n                diff_value = 0\n                row_target = self.T[target]\n                row_r = self.T[r]\n                for e in self.E:\n                    diff_value += self.compatibility_checker.difference_value(row_r.get(e, None),\n                                                                              row_target.get(e, None))\n                if diff_value < smallest_diff_value:\n                    # if smallest_diff_value != 2**32:\n                    #    print(\"Found a better rep\")\n                    smallest_diff_value = diff_value\n                    best_rep = r\n            return best_rep\n        else:\n            if target in self.S:\n                for r in self.compatibility_classes_representatives:\n                    if target == r or target in self.compatibility_class[r]:\n                        return r\n            else:\n                for r in self.compatibility_classes_representatives:\n                    if self.are_rows_compatible(r, target):\n                        return r\n        assert False\n\n    def trim_columns(self):\n        \"\"\" \"\"\"\n        reverse_sorted_E = list(self.E)\n        reverse_sorted_E.sort(key=len, reverse=True)\n        to_remove = []\n        to_keep = []\n        self.update_obs_table_with_freq_obs()\n        self.make_closed_and_consistent()  # need a closed observation table\n\n        for e in reverse_sorted_E:\n            if e in self.input_alphabet:\n                continue\n            contains_dependent = False\n            for other_e in to_keep:\n                if is_suffix_of(e, other_e):\n                    contains_dependent = True\n            if contains_dependent:\n                to_keep.append(e)\n            elif self.get_consistency_violation(e):\n                to_keep.append(e)\n            else:\n                self.E.remove(e)  # need to remove here for get_consistency_violation to work\n                to_remove.append(e)\n\n        for e in to_remove:\n            for s in self.T.keys():\n                if e in self.T[s]:\n                    self.T[s].pop(e)\n\n    def trim(self, hypothesis):\n        \"\"\"\n        Removes unnecessary rows from the observation table.\n\n        Args:\n          hypothesis: \n\n        \"\"\"\n\n        prefix_to_state_dict = {state.prefix: state for state in hypothesis.states}\n\n        to_remove = []\n        for s in self.S:\n            if s in self.compatibility_classes_representatives or s in to_remove:\n                continue\n\n            rep = self.get_representative(s)\n            if self.automaton_type == 'mdp':\n                if 'chaos' in {t[0].output for transitions in prefix_to_state_dict[rep].transitions.values()\n                               for t in transitions}:\n                    continue\n            else:\n                if 'chaos' in {t[1] for transitions in prefix_to_state_dict[rep].transitions.values()\n                               for t in transitions}:\n                    continue\n\n            num_compatible_repr = 0\n            row_is_prefix = False\n            for r in self.compatibility_classes_representatives:\n                if self.are_rows_compatible(r, s):\n                    num_compatible_repr += 1\n                if len(s) < len(r) and s == r[:len(s)]:\n                    row_is_prefix = True\n                    continue\n            if num_compatible_repr != 1 or row_is_prefix:\n                continue\n\n            to_remove.append(s)\n            for otherS in self.S:\n                if s == otherS[:len(s)] and otherS not in to_remove:\n                    to_remove.append(otherS)\n\n        for s in to_remove:\n            self.S.remove(s)\n            self.T.pop(s, None)\n            for i in self.input_alphabet:\n                for o in self.T[s + i]:\n                    self.T.pop(s + i + o, None)\n\n        if not self.cex_processing:\n            self.trim_columns()\n        else:\n            self.update_obs_table_with_freq_obs()\n\n    def stop(self, learning_round, chaos_cex_present, cex, stopping_range_dict, min_rounds=10, max_rounds=None,\n             target_unambiguity=0.99, print_unambiguity=False):\n        \"\"\"\n        Decide if learning should terminate.\n\n        Args:\n\n          learning_round: current learning round\n          chaos_cex_present: is chaos counterexample present in the hypothesis\n          cex: counterexample found by the eq oracle\n          stopping_range_dict: dictionary where keys are number of last unambiguity values and value is\n          maximum differance allowed between them\n          min_rounds: minimum number of learning rounds (Default value = 5)\n          max_rounds: maximum number of learning rounds (Default value = None)\n          target_unambiguity: percentage of rows with unambiguous representatives (Default value = 0.99)\n          print_unambiguity: if true, current unambiguity rate will be printed (Default value = False)\n\n        Returns:\n\n          True if stopping condition satisfied, false otherwise\n        \"\"\"\n        if max_rounds:\n            assert min_rounds <= max_rounds\n        if max_rounds and learning_round == max_rounds:\n            return True\n        if chaos_cex_present or cex is not None:\n            return False\n\n        extended_s = list(self.get_extended_s())\n        self.update_compatibility_classes()\n        numerator = 0\n        for row in self.S + extended_s:\n            row_repr = 0\n            for r in self.compatibility_classes_representatives:\n                if self.are_rows_compatible(row, r):\n                    row_repr += 1\n            numerator += 1 if row_repr == 1 else 0\n\n        unambiguous_rows_percentage = numerator / len(self.S + extended_s)\n\n        self.unambiguity_values.append(unambiguous_rows_percentage)\n        if self.strategy != 'classic' and learning_round >= min_rounds:\n            # keys are number of last unambiguity values and value is maximum differance allowed between them\n\n            for num_last, diff in stopping_range_dict.items():\n                if len(self.unambiguity_values) < num_last:\n                    continue\n                last_n_unamb = self.unambiguity_values[-num_last:]\n                if abs(max(last_n_unamb) - min(last_n_unamb) <= diff):\n                    return True\n\n        if print_unambiguity and learning_round % 5 == 0:\n            print(f'Unambiguous rows: {round(unambiguous_rows_percentage * 100, 2)}%;'\n                  f' {numerator} out of {len(self.S + extended_s)}')\n        if learning_round >= min_rounds and unambiguous_rows_percentage >= target_unambiguity:\n            return True\n\n        return False\n\n    def get_unamb_percentage(self):\n        extended_s = list(self.get_extended_s())\n        self.update_compatibility_classes()\n        numerator = 0\n        for row in self.S + extended_s:\n            row_repr = 0\n            for r in self.compatibility_classes_representatives:\n                if self.are_rows_compatible(row, r):\n                    row_repr += 1\n            numerator += 1 if row_repr == 1 else 0\n\n        unambiguous_rows_percentage = numerator / len(self.S + extended_s)\n        return round(unambiguous_rows_percentage * 100, 2)\n\n    def are_cells_incompatible(self, s1, s2, e):\n        \"\"\"\n        Checks if 2 cells are considered different.\n\n        Args:\n\n          s1: prefix of row s1\n          s2: prefix of row s2\n          e: element of E\n\n        Returns:\n\n          True if cells are different, false otherwise\n\n        \"\"\"\n        if self.strategy == 'classic':\n            if self.teacher.complete_query(s1, e) and self.teacher.complete_query(s2, e):\n                return self.compatibility_checker.are_cells_different(self.T[s1][e], self.T[s2][e])\n        elif self.strategy == 'normal' or self.strategy == 'chi2':\n            if e in self.T[s1] and e in self.T[s2]:\n                return self.compatibility_checker.are_cells_different(self.T[s1][e], self.T[s2][e])\n        else:\n            if e in self.T[s1] and e in self.T[s2]:\n                return self.compatibility_checker.are_cells_different(self.T[s1][e], self.T[s2][e], s1=s1, s2=s2, e=e)\n        return False\n\n    def are_rows_compatible(self, s1, s2, e_ignore=None):\n        \"\"\"\n        Check if the rows are compatible.\n        Rows are compatible if all cells are compatible(not different) and their prefixes\n        end in the same output element.\n\n        Args:\n          s1: prefix of row s1\n          s2: prefix of row s2\n          e_ignore: e not considered for the computation of row compatibility (Default value = None)\n\n        Returns:\n          True if rows are compatible, False otherwise\n\n        \"\"\"\n        if self.automaton_type == 'mdp' and s1[-1] != s2[-1]:\n            return False\n\n        for e in self.E:\n            if e == e_ignore:\n                continue\n            if self.are_cells_incompatible(s1, s2, e):\n                return False\n        return True\n\n    def update_compatibility_classes(self):\n        \"\"\"Updates the compatibility classes and stores their representatives.\"\"\"\n        self.compatibility_class.clear()\n\n        class_rank_pair = []\n        for s in self.S:\n            rank = sum([sum(self.T[s][i].values()) for i in self.input_alphabet])\n            class_rank_pair.append((s, rank))\n\n        # sort according to frequency\n        class_rank_pair.sort(key=lambda x: x[1], reverse=True)\n\n        # # sort according to prefix length, and elements of same length sort by value\n        # class_rank_pair = [(s, -rank) for (s, rank) in class_rank_pair]\n        # class_rank_pair.sort(key=lambda x: (len(x[0]), x[1]))\n        # class_rank_pair = [(s, -rank) for (s, rank) in class_rank_pair]\n\n        compatibility_classes = [c[0] for c in class_rank_pair]\n\n        tmp_classes = list(compatibility_classes)\n        not_partitioned = list(self.S)\n\n        representatives = []\n        while not_partitioned:\n            r = tmp_classes.pop(0)\n            not_partitioned.remove(r)\n\n            cg_r = [s for s in not_partitioned if self.are_rows_compatible(r, s)]\n\n            self.compatibility_class[r] = cg_r\n\n            representatives.append(r)\n            for sp in cg_r:\n                not_partitioned.remove(sp)\n                tmp_classes.remove(sp)\n\n        self.compatibility_classes_representatives = representatives\n\n    def chaos_counterexample(self, hypothesis):\n        \"\"\" Check whether the chaos state is reachable.\n\n        Args:\n          hypothesis: current hypothesis\n\n        Returns:\n          True if chaos state is reachable, False otherwise\n\n        \"\"\"\n        for state in hypothesis.states:\n            if self.automaton_type == \"mdp\" and state.output == \"chaos\" \\\n                    or self.automaton_type == \"smm\" and state.state_id == \"chaos\":\n                # we are not interested in chaos state, but in prefix to chaos\n                continue\n            for i in self.input_alphabet:\n                output_states = state.transitions[i[0]]\n                if self.automaton_type == 'mdp':\n                    for (s, _) in output_states:\n                        if s.output == 'chaos':\n                            return True\n                            # return state.prefix + i\n                else:\n                    for (_, o, _) in output_states:\n                        if o == 'chaos':\n                            return True\n                            # return state.prefix\n        return False\n        # return None\n\n    def add_to_PTA(self, pta_root, trace, uncertainty_value=None):\n        \"\"\"Adds a trace to the PTA. PTA is later used for online sampling. The uncertainty value is added to inputs as\n        frequencies, which specify how often a particular input should be sampled.\n\n        Args:\n          pta_root: root of the prefix tree acceptor\n          trace: trace to add to the PTA\n          uncertainty_value: uncertainty value (Default value = None)\n\n        Returns:\n\n        \"\"\"\n        curr_node = pta_root\n        start = 1 if self.automaton_type == 'mdp' else 0\n        for index in range(start, len(trace), 2):\n            inp = trace[index]\n            if uncertainty_value:\n                # use frequencies for uncertainties\n                curr_node.input_frequencies[inp] += uncertainty_value\n            # need to add a dummy output in the leaves\n            output = trace[index + 1] if index + 1 < len(trace) else \"dummy\"\n            child = curr_node.get_child(inp, output)\n            if child:\n                curr_node = child\n            else:\n                new_node = Node(output)\n                curr_node.children[inp][output] = new_node\n                curr_node = new_node\n\n    def generate_hypothesis(self):\n        \"\"\"Generates the hypothesis from the observation table.\n        :return: current hypothesis\n\n        Args:\n\n        Returns:\n\n        \"\"\"\n        r_state_map = dict()\n        state_counter = 0\n        for r in self.compatibility_classes_representatives:\n            if self.automaton_type == 'mdp':\n                r_state_map[r] = MdpState(state_id=f's{state_counter}', output=r[-1])\n            else:\n                r_state_map[r] = StochasticMealyState(state_id=f's{state_counter}')\n            r_state_map[r].prefix = r\n\n            state_counter += 1\n        if self.automaton_type == 'mdp':\n            r_state_map['chaos'] = MdpState(state_id=f's{state_counter}', output='chaos')\n            for i in self.input_alphabet:\n                r_state_map['chaos'].transitions[i[0]].append((r_state_map['chaos'], 1.))\n        else:\n            r_state_map['chaos'] = StochasticMealyState(state_id=f'chaos')\n            for i in self.input_alphabet:\n                r_state_map['chaos'].transitions[i[0]].append((r_state_map['chaos'], 'chaos', 1.))\n\n        for s in self.compatibility_classes_representatives:\n            for i in self.input_alphabet:\n                freq_dict = self.T[s][i]\n\n                total_sum = sum(freq_dict.values())\n\n                origin_state = s\n                if self.strategy == 'classic' and not self.teacher.complete_query(s, i) \\\n                        or self.strategy != 'classic' and i not in self.T[s]:\n                    if self.automaton_type == 'mdp':\n                        r_state_map[origin_state].transitions[i[0]].append((r_state_map['chaos'], 1.))\n                    else:\n                        r_state_map[origin_state].transitions[i[0]].append((r_state_map['chaos'], 'chaos', 1.))\n                else:\n                    if len(freq_dict.items()) == 0:\n                        if self.automaton_type == 'mdp':\n                            r_state_map[origin_state].transitions[i[0]].append((r_state_map['chaos'], 1.))\n                        else:\n                            r_state_map[origin_state].transitions[i[0]].append((r_state_map['chaos'], 'chaos', 1.))\n                    else:\n                        for output, frequency in freq_dict.items():\n                            new_state = self.get_representative(s + i + tuple([output]))\n                            if self.automaton_type == 'mdp':\n                                r_state_map[origin_state].transitions[i[0]].append(\n                                    (r_state_map[new_state], frequency / total_sum))\n                            else:\n                                r_state_map[origin_state].transitions[i[0]].append(\n                                    (r_state_map[new_state], output, frequency / total_sum))\n\n        if self.automaton_type == 'mdp':\n            return Mdp(r_state_map[self.get_representative(self.initial_output)], list(r_state_map.values()))\n        else:\n            return StochasticMealyMachine(r_state_map[tuple()], list(r_state_map.values()))\n"
  },
  {
    "path": "aalpy/learning_algs/stochastic/StochasticCexProcessing.py",
    "content": "from aalpy.automata import Mdp\nfrom aalpy.base import SUL\n\n\ndef stochastic_longest_prefix(cex, prefixes):\n    \"\"\"\n    Counterexample processing based on Shabaz-Groz cex processing.\n\n    Args:\n\n        cex: counterexample\n        prefixes: all prefixes in the observation table\n    Returns:\n\n        Single suffix.\n    \"\"\"\n    prefixes = list(prefixes)\n    prefixes.sort(key=len, reverse=True)\n\n    trimmed_cex = None\n    trimmed = False\n    for p in prefixes:\n        if p[1::2] == cex[:len(p)][1::2]:\n            trimmed_cex = cex[len(p):]\n            trimmed = True\n            break\n\n    trimmed_cex = trimmed_cex if trimmed else cex\n    trimmed_cex = list(trimmed_cex)\n\n    if not trimmed_cex:\n        return ()\n\n    # get all suffixes and return\n    suffixes = [tuple(trimmed_cex[len(trimmed_cex) - i - 1:]) for i in range(0, len(trimmed_cex), 2)]\n\n    # prefixes\n    # need to pop 0 for MDP, for SMM remove the line\n    # trimmed_cex.pop(0)\n    # prefixes = [tuple(trimmed_cex[:i + 1]) for i in range(0, len(trimmed_cex), 2)]\n\n    return suffixes\n\n\ndef stochastic_rs(sul: SUL, cex: tuple, hypothesis):\n    \"\"\"Rivest-Schapire counter example processing.\n\n    Args:\n\n        sul: system under learning\n        cex: found counterexample\n        hypothesis: hypothesis on which counterexample was found\n    Returns:\n\n        suffixes to be added to the E set\n\n    \"\"\"\n    # cex_out = self.sul.query(tuple(cex))\n\n    if isinstance(hypothesis, Mdp):\n        cex = cex[1:]\n\n    inputs = tuple(cex[::2])\n    outputs = tuple(cex[1::2])\n    # cex_out = self.teacher.sul.query(cex)\n\n    lower = 1\n    upper = len(inputs) - 2\n\n    while True:\n        hypothesis.reset_to_initial()\n        mid = (lower + upper) // 2\n\n        # arr[:n] -> first n values\n        # arr[n:] -> last n values\n\n        for i, o in zip(inputs[:mid], outputs[:mid]):\n            hypothesis.step_to(i, o)\n\n        s_bracket = hypothesis.current_state.prefix\n\n        # prefix in hyp is reached\n\n        prefix_inputs = s_bracket[1::2] if isinstance(hypothesis, Mdp) else s_bracket[::2]\n        # prefix_outputs = s_bracket[0::2] if isinstance(hypothesis, Mdp) else s_bracket[1::2]\n\n        not_same = False\n\n        prefix_reached = False\n        while not prefix_reached:\n            hypothesis.reset_to_initial()\n            sul.post()\n            sul.pre()\n\n            repeat = False\n            for inp in prefix_inputs:\n                o_sul = sul.step(inp)\n                o_hyp = hypothesis.step_to(inp, o_sul)\n\n                if o_hyp is None:\n                    repeat = True\n                    break\n\n            prefix_reached = not repeat\n\n        for inp in inputs[mid:]:\n\n            o_sul = sul.step(inp)\n            o_hyp = hypothesis.step_to(inp, o_sul)\n\n            if o_hyp is None:\n                not_same = True\n                break\n\n        if not not_same:\n            lower = mid + 1\n            if upper < lower:\n                suffix = cex[(mid + 1) * 2:]\n                break\n        else:\n            upper = mid - 1\n            if upper < lower:\n                suffix = cex[mid * 2:]\n                break\n\n    suffixes = [tuple(suffix[len(suffix) - i - 1:]) for i in range(0, len(suffix), 2)]\n\n    # suffixes = [suffixes[-1]]\n    # print(len(cex), len(suffixes[-1]))\n    return suffixes\n"
  },
  {
    "path": "aalpy/learning_algs/stochastic/StochasticLStar.py",
    "content": "import time\n\nfrom aalpy.base import SUL, Oracle\nfrom aalpy.learning_algs.stochastic.DifferenceChecker import AdvancedHoeffdingChecker, HoeffdingChecker, \\\n    ChiSquareChecker, DifferenceChecker\nfrom aalpy.learning_algs.stochastic.SamplingBasedObservationTable import SamplingBasedObservationTable\nfrom aalpy.learning_algs.stochastic.StochasticCexProcessing import stochastic_longest_prefix, stochastic_rs\nfrom aalpy.learning_algs.stochastic.StochasticTeacher import StochasticTeacher\nfrom aalpy.utils.HelperFunctions import print_learning_info, print_observation_table, get_cex_prefixes, \\\n    get_available_oracles_and_err_msg\n\nfrom aalpy.utils.ModelChecking import stop_based_on_confidence\n\nstrategies = ['classic', 'normal', 'chi2']\ncex_sampling_options = [None, 'bfs']\ncex_processing_options = [None, 'longest_prefix', 'rs']\nprint_options = [0, 1, 2, 3]\ndiff_checker_options = {'classic': HoeffdingChecker(),\n                        'chi2': ChiSquareChecker(),\n                        'normal': AdvancedHoeffdingChecker()}\navailable_oracles, available_oracles_error_msg = get_available_oracles_and_err_msg()\n\n\ndef run_stochastic_Lstar(input_alphabet, sul: SUL, eq_oracle: Oracle, target_unambiguity=0.99,\n                         min_rounds=10, max_rounds=200, automaton_type='mdp', strategy='normal',\n                         cex_processing=None, samples_cex_strategy=None, stopping_range_dict='strict', custom_oracle=False,\n                         return_data=False, property_based_stopping=None, n_c=20, n_resample=100, print_level=2):\n    \"\"\"\n    Learning of Markov Decision Processes and Stochastic Mealy machines based on 'L*-Based Learning of Markov Decision\n    Processes' and 'Active Model Learning of Stochastic Reactive Systems' by Tappler et al.\n\n    Args:\n\n        input_alphabet: input alphabet\n\n        sul: system under learning\n\n        eq_oracle: equivalence oracle\n\n        target_unambiguity: target unambiguity value (default 0.99)\n\n        min_rounds: minimum number of learning rounds (Default value = 10)\n\n        max_rounds: if learning_rounds >= max_rounds, learning will stop (Default value = 200)\n\n        automaton_type: either 'mdp' or 'smm' (Default value = 'mdp')\n\n        strategy: either one of ['classic', 'normal', 'chi2'] or a object implementing DifferenceChecker class,\n            default value is 'normal'. Classic strategy is the one presented\n            in the seed paper, 'normal' is the updated version and chi2 is based on chi squared.\n\n        cex_processing: cex processing strategy, None , 'longest_prefix' or 'rs' (rs is experimental)\n\n        samples_cex_strategy: strategy for finding counterexamples in the trace tree. None, 'bfs' or\n            \"random:<#traces to check:int>:<stop probability for single trace in [0,1)>\" eg. random:200:0.2\n\n        stopping_range_dict: Values in form of a dictionary, or 'strict', 'relaxed' to use predefined stopping\n        criteria. Custom values: Dictionary where keys encode the last n unambiguity values which need to be in range\n        of its value in order to perform early stopping. Eg. {5: 0.001, 10: 0.01} would stop if last 5 hypothesis had\n        unambiguity values when max(last_5_vals) - (last_5_vals) <= 0.001.\n\n        property_based_stopping: A tuple containing (path to the properties file, correct values of each property,\n            allowed error for each property. Recommended one is 0.02 (2%)).\n\n        custom_oracle: if True, warning about oracle type will be removed and custom oracle can be used\n\n        return_data: if True, map containing all information like number of queries... will be returned\n            (Default value = False)\n\n        n_c: cutoff for a cell to be considered complete (Default value = 20), only used with 'classic' strategy\n\n        n_resample: resampling size (Default value = 100), only used with 'classic' strategy\n\n        print_level: 0 - None, 1 - just results, 2 - current round and hypothesis size, 3 - educational/debug\n            (Default value = 2)\n\n\n    Returns:\n\n      learned MDP/SMM\n    \"\"\"\n\n    assert samples_cex_strategy in cex_sampling_options or samples_cex_strategy.startswith('random')\n    assert cex_processing in cex_processing_options\n    assert automaton_type in {'mdp', 'smm'}\n    if not isinstance(stopping_range_dict, dict):\n        assert stopping_range_dict in {'strict', 'relaxed'}\n    if property_based_stopping:\n        assert len(property_based_stopping) == 3\n\n    if strategy in diff_checker_options:\n        compatibility_checker = diff_checker_options[strategy]\n    else:\n        assert isinstance(strategy, DifferenceChecker)\n        compatibility_checker = strategy\n\n    if not custom_oracle and type(eq_oracle) not in available_oracles:\n        raise SystemExit(available_oracles_error_msg)\n\n    if stopping_range_dict == 'strict':\n        stopping_range_dict = {12: 0.001, 18: 0.002, 25: 0.005, 30: 0.01, 35: 0.02}\n    elif stopping_range_dict == 'relaxed':\n        stopping_range_dict = {7: 0.001, 12: 0.003, 17: 0.005, 22: 0.01, 28: 0.02}\n\n    stochastic_teacher = StochasticTeacher(sul, n_c, eq_oracle, automaton_type, compatibility_checker,\n                                           samples_cex_strategy=samples_cex_strategy)\n\n    # This way all steps from eq. oracle will be added to the tree\n    eq_oracle.sul = stochastic_teacher.sul\n\n    observation_table = SamplingBasedObservationTable(input_alphabet, automaton_type,\n                                                      stochastic_teacher, compatibility_checker=compatibility_checker,\n                                                      strategy=strategy,\n                                                      cex_processing=cex_processing)\n\n    start_time = time.time()\n    eq_query_time = 0\n\n    # Ask queries for non-completed cells and update the observation table\n    observation_table.refine_not_completed_cells(n_resample, uniform=True)\n    observation_table.update_obs_table_with_freq_obs()\n\n    learning_rounds = 0\n\n    while True:\n        learning_rounds += 1\n\n        observation_table.make_closed_and_consistent()\n\n        hypothesis = observation_table.generate_hypothesis()\n\n        observation_table.trim(hypothesis)\n\n        # If there is no chaos state is not reachable, remove it from state set\n        chaos_cex_present = observation_table.chaos_counterexample(hypothesis)\n\n        if not chaos_cex_present:\n            if automaton_type == 'mdp':\n                hypothesis.states.remove(next(state for state in hypothesis.states if state.output == 'chaos'))\n            else:\n                hypothesis.states.remove(next(state for state in hypothesis.states if state.state_id == 'chaos'))\n\n        if print_level > 1:\n            print(f'Hypothesis: {learning_rounds}: {len(hypothesis.states)} states.')\n\n        if print_level == 3:\n            print_observation_table(observation_table, 'stochastic')\n\n        cex = None\n\n        if not chaos_cex_present:\n            eq_query_start = time.time()\n            cex = stochastic_teacher.equivalence_query(hypothesis)\n            eq_query_time += time.time() - eq_query_start\n\n        if cex:\n            if print_level == 3:\n                print('Counterexample', cex)\n            # get all prefixes and add them to the S set\n            if cex_processing is None:\n                for pre in get_cex_prefixes(cex, automaton_type):\n                    if pre not in observation_table.S:\n                        observation_table.S.append(pre)\n            else:\n                suffixes = None\n                if cex_processing == 'longest_prefix':\n                    prefixes = observation_table.S + list(observation_table.get_extended_s())\n                    suffixes = [stochastic_longest_prefix(cex, prefixes)[-1]]\n                elif cex_processing == 'rs':\n                    suffixes = stochastic_rs(sul, cex, hypothesis)\n                for suf in suffixes:\n                    if suf not in observation_table.E:\n                        observation_table.E.append(suf)\n                        break\n\n        # Ask queries for non-completed cells and update the observation table\n        refined = observation_table.refine_not_completed_cells(n_resample)\n        observation_table.update_obs_table_with_freq_obs()\n\n        if property_based_stopping and learning_rounds >= min_rounds:\n            # stop based on maximum allowed error\n            if stop_based_on_confidence(hypothesis, property_based_stopping, print_level):\n                break\n        else:\n            # stop based on number of unambiguous rows\n            stop_based_on_unambiguity = observation_table.stop(learning_rounds, chaos_cex_present, cex,\n                                                               stopping_range_dict,\n                                                               target_unambiguity=target_unambiguity,\n                                                               min_rounds=min_rounds, max_rounds=max_rounds,\n                                                               print_unambiguity=print_level > 1)\n            if stop_based_on_unambiguity:\n                break\n\n        if not refined:\n            break\n\n    total_time = round(time.time() - start_time, 2)\n    eq_query_time = round(eq_query_time, 2)\n    learning_time = round(total_time - eq_query_time, 2)\n\n    info = {\n        'learning_rounds': learning_rounds,\n        'automaton_size': len(hypothesis.states),\n        'queries_learning': stochastic_teacher.sul.num_queries - eq_oracle.num_queries,\n        'steps_learning': stochastic_teacher.sul.num_steps - eq_oracle.num_queries,\n        'queries_eq_oracle': eq_oracle.num_queries,\n        'steps_eq_oracle': eq_oracle.num_steps,\n        'learning_time': learning_time,\n        'eq_oracle_time': eq_query_time,\n        'total_time': total_time\n    }\n\n    if print_level > 0:\n        print_learning_info(info)\n\n    if return_data:\n        return hypothesis, info\n\n    return hypothesis\n\n"
  },
  {
    "path": "aalpy/learning_algs/stochastic/StochasticTeacher.py",
    "content": "from collections import defaultdict\nfrom random import choice, random\n\nfrom aalpy.base import SUL\nfrom aalpy.learning_algs.stochastic.DifferenceChecker import DifferenceChecker\n\n\nclass StochasticSUL(SUL):\n    def __init__(self, sul, teacher):\n        super().__init__()\n        self.sul = sul\n        self.teacher = teacher\n\n    def pre(self):\n        self.num_queries += 1\n        self.teacher.back_to_root()\n        return self.sul.pre()\n\n    def post(self):\n        self.sul.post()\n\n    def step(self, letter):\n        self.num_steps += 1\n        out = self.sul.step(letter)\n        self.teacher.add(letter, out)\n        return out\n\n\nclass Node:\n    \"\"\"\n    Node of the cache/multiset of all traces.\n    \"\"\"\n\n    def __init__(self, output):\n        self.output = output\n        self.frequency = 0\n        self.children = defaultdict(dict)\n        self.input_frequencies = defaultdict(int)\n\n    def get_child(self, inp, out):\n        \"\"\"\n\n        Args:\n\n            inp: input\n            out: output\n\n        Returns:\n\n            Child with output that equals to `out` reached when performing `inp`. If such child does not exist,\n            return None.\n        \"\"\"\n        if inp not in self.children.keys() or out not in self.children[inp].keys():\n            return None\n        return self.children[inp][out]\n\n    def get_frequency_sum(self, input_letter):\n        \"\"\"\n        Returns:\n\n            number of times input was observed in current state\n        \"\"\"\n        return self.input_frequencies[input_letter]\n\n    def get_output_frequencies(self, input_letter):\n        \"\"\"\n        Args:\n\n            input_letter: input\n\n        Returns:\n\n            observed outputs and their frequencies for given `input_letter` in the current state\n\n        \"\"\"\n        if input_letter not in self.children.keys():\n            return dict()\n        return {child.output: child.frequency for child in self.children[input_letter].values()}\n\n\nclass StochasticTeacher:\n    \"\"\"\n    The sampling-based teacher maintains a multiset of traces S for the estimation of output distributions.\n    Whenever new traces are sampled in the course of learning, they are added to S.\n    \"\"\"\n\n    def __init__(self, sul: SUL, n_c, eq_oracle, automaton_type, compatibility_checker: DifferenceChecker,\n                 samples_cex_strategy=None):\n        self.automaton_type = automaton_type\n        if automaton_type == 'mdp':\n            self.initial_value = sul.query(tuple())\n            self.root_node = Node(self.initial_value[-1])\n        else:\n            self.root_node = Node(None)\n\n        self.sul = StochasticSUL(sul=sul, teacher=self)\n\n        self.eq_oracle = eq_oracle\n        self.n_c = n_c\n\n        self.curr_node = None\n        # cache\n        self.complete_query_cache = set()\n        self.compatibility_checker = compatibility_checker\n        self.samples_cex_strategy = samples_cex_strategy\n\n        # eq query cache\n        self.last_cex = None\n        self.last_tree_cex = None\n\n    def back_to_root(self):\n        self.curr_node = self.root_node\n\n    def add(self, inp, out):\n        \"\"\"\n        Adds a input/output to the tree.\n\n        Args:\n\n            inp: input\n            out: output\n\n\n        \"\"\"\n        self.curr_node.input_frequencies[inp] += 1\n        if inp not in self.curr_node.children.keys() or out not in self.curr_node.children[inp].keys():\n            node = Node(out)\n            self.curr_node.children[inp][out] = node\n\n        self.curr_node = self.curr_node.children[inp][out]\n        self.curr_node.frequency += 1\n\n    def frequency_query(self, s: tuple, e: tuple):\n        \"\"\"Output frequencies observed after trace s + e.\n\n        Args:\n\n            s: sequence from S set\n            e: sequence from E set\n\n\n        Returns:\n\n            sum of output frequencies\n\n        \"\"\"\n        if self.automaton_type == 'mdp':\n            s = s[1:]\n\n        input_seq = list(s[0::2] + e[0::2])\n        output_seq = list(s[1::2] + e[1::2])\n\n        last_input = input_seq.pop()\n\n        curr_node = self.root_node\n        for i, o in zip(input_seq, output_seq):\n            curr_node = curr_node.get_child(i, o)\n            if not curr_node:\n                return dict()\n\n        output_freq = curr_node.get_output_frequencies(last_input)\n        if sum(output_freq.values()) >= self.n_c:\n            self.complete_query_cache.add(s + e)\n        return output_freq\n\n    def complete_query(self, s: tuple, e: tuple):\n        \"\"\"\n        Given a test sequences returns true if sufficient information is available to estimate an output distribution\n        from frequency queries; returns false otherwise.\n\n        Args:\n\n            s: sequence from S set\n            e: sequence from E set\n\n        Returns:\n\n            True if cell is completed, false otherwise\n\n        \"\"\"\n\n        # extract inputs and outputs\n        if s + e in self.complete_query_cache:\n            return True\n\n        if self.automaton_type == 'mdp':\n            s = s[1:]\n\n        input_seq = list(s[0::2] + e[0::2])\n        output_seq = list(s[1::2] + e[1::2])\n\n        # get last input\n        last_input = input_seq.pop()\n\n        curr_node = self.root_node\n        for i, o in zip(input_seq, output_seq):\n            new_node = curr_node.get_child(i, o)\n            if not new_node:\n                curr_node_complete = curr_node.get_frequency_sum(i) >= self.n_c\n                # if curr_node_complete:\n                #     self.complete_query_cache.add(s + e)\n                return curr_node_complete\n            else:\n                curr_node = new_node\n\n        sum_freq = curr_node.get_frequency_sum(last_input)\n        if sum_freq >= self.n_c:\n            self.complete_query_cache.add(s + e)\n        return sum_freq >= self.n_c\n\n    def tree_query(self, pta_root):\n        \"\"\"\n        Execute a refine query based on input/output trace. If at some point real outputs differ from expected\n        outputs, trace to that point is added to the tree, otherwise whole trace is executed.\n\n        Args:\n\n            pta_root: root of the PTA\n\n        Returns:\n\n            number of steps taken\n\n        \"\"\"\n        self.sul.pre()\n        curr_node = pta_root\n\n        inputs = []\n        outputs = []\n\n        while True:\n\n            if curr_node.children:\n                frequency_sum = sum(curr_node.input_frequencies.values())\n                if frequency_sum == 0:\n                    # uniform sampling in case we have no information\n                    inp = choice(list(curr_node.children.keys()))\n                else:\n                    # use float random rather than integers to be able to work with non-integer frequency information\n                    selection_value = random() * frequency_sum\n                    inp = None\n                    for i in curr_node.input_frequencies.keys():\n                        inp = i\n                        selection_value -= curr_node.input_frequencies[i]\n                        if selection_value <= 0:\n                            break\n                    # curr_node.input_frequencies[inp] -= 1\n\n                inputs.append(inp)\n                out = self.sul.step(inp)\n                new_node = curr_node.get_child(inp, out)\n\n                if new_node:\n                    outputs.append(out)\n                    curr_node = new_node\n                else:\n                    self.sul.post()\n                    return\n            else:\n                curr_node = pta_root\n                for i, o in zip(inputs, outputs):\n                    self.curr_node.input_frequencies[i] -= 1\n                    curr_node = curr_node.get_child(i, o)\n                self.sul.post()\n                return\n\n    def single_dfs_for_cex(self, stop_prob, hypothesis):\n        curr_node = self.root_node\n        curr_state = hypothesis.initial_state\n        if self.automaton_type == \"mdp\":\n            trace = tuple(self.initial_value)\n        else:\n            trace = ()\n\n        while True:\n            rep_trace = curr_state.prefix\n            if trace != rep_trace:\n                for i in curr_node.children.keys():\n                    freq_in_tree = self.frequency_query(trace, (i,))\n                    freq_in_hyp = self.frequency_query(rep_trace, (i,))\n                    if self.compatibility_checker.are_cells_different(freq_in_tree, freq_in_hyp):\n                        return trace + (i,)\n            # choose next node randomly and return None if there is no next node\n            if not curr_node.children:\n                return None\n            i = choice(list(curr_node.children.keys()))\n            if not curr_node.children[i]:\n                return None\n            c = choice(list(curr_node.children[i].values()))\n            o = c.output\n            if self.automaton_type == 'mdp':\n                next_state = next(\n                    (out_state[0] for out_state in curr_state.transitions[i] if out_state[0].output == o), None)\n            else:\n                next_state = next((out_state[0] for out_state in curr_state.transitions[i] if out_state[1] == o),\n                                  None)\n            if not next_state:\n                return trace + (i,)\n            if random() <= stop_prob:\n                return None\n            else:\n                curr_node = c\n                curr_state = next_state\n                trace = trace + (i,) + (o,)\n\n    def dfs_for_cex_in_tree(self, hypothesis, nr_traces, stop_prob):\n        for i in range(nr_traces):\n            cex = self.single_dfs_for_cex(stop_prob, hypothesis)\n            if cex:\n                return cex\n        return None\n\n    def bfs_for_cex_in_tree(self, hypothesis):\n        # BFS for cex\n        if self.automaton_type == \"mdp\":\n            to_check = [(self.root_node, hypothesis.initial_state, tuple(self.initial_value))]\n        else:\n            to_check = [(self.root_node, hypothesis.initial_state, ())]\n\n        while to_check:\n            (curr_node, curr_state, trace) = to_check.pop(0)\n            rep_trace = curr_state.prefix\n            if trace != rep_trace:\n                for i in curr_node.children.keys():\n                    freq_in_tree = self.frequency_query(trace, (i,))\n                    freq_in_hyp = self.frequency_query(rep_trace, (i,))\n                    if self.compatibility_checker.are_cells_different(freq_in_tree, freq_in_hyp):\n                        return trace + (i,)\n            for i in curr_node.children.keys():\n                for c in curr_node.children[i].values():\n                    o = c.output\n                    if self.automaton_type == 'mdp':\n                        next_state = next((out_state[0] for out_state in curr_state.transitions[i]\n                                           if out_state[0].output == o), None)\n                    else:\n                        next_state = next((out_state[0] for out_state in curr_state.transitions[i]\n                                           if out_state[1] == o), None)\n                    if not next_state:\n                        return trace + (i,)\n                    new_trace = trace + (i,) + (o,)\n                    to_check.append((c, next_state, new_trace))\n        return None\n\n    def equivalence_query(self, hypothesis):\n        \"\"\"\n        Finds and returns a counterexample\n\n        Args:\n\n            hypothesis: current hypothesis\n\n        Returns:\n\n            counterexample\n\n        \"\"\"\n        if self.last_cex and not self.is_cex_processed(hypothesis, self.last_cex):\n            return self.last_cex\n\n        if self.samples_cex_strategy:\n            cex = None\n            if self.samples_cex_strategy == 'bfs':\n                cex = self.bfs_for_cex_in_tree(hypothesis)\n            elif self.samples_cex_strategy.startswith('random'):\n                split_strategy = self.samples_cex_strategy.split(\":\")\n                try:\n                    nr_traces = int(split_strategy[1])\n                    stop_prob = float(split_strategy[2])\n                    cex = self.dfs_for_cex_in_tree(hypothesis, nr_traces, stop_prob)\n                except Exception as e:\n                    print(\"Problem in random DFS for cex in samples:\", e)\n            if cex:\n                self.last_cex = cex\n                self.eq_oracle.reset_counter()\n                return cex\n\n        cex = self.eq_oracle.find_cex(hypothesis)\n        if cex:  # remove last output\n            cex = cex[:-1]\n        self.last_cex = cex\n        return cex\n\n    def is_cex_processed(self, hypothesis, cex):\n        if self.automaton_type == 'mdp':\n            cex = cex[1:]\n        last_inp = cex[-1]\n        hypothesis.reset_to_initial()\n        for i in range(0, len(cex) - 1, 2):\n            o = hypothesis.step_to(cex[i], cex[i + 1])\n            if o is None:\n                return False\n        o = hypothesis.step(last_inp)\n        return o is not None\n"
  },
  {
    "path": "aalpy/learning_algs/stochastic/__init__.py",
    "content": ""
  },
  {
    "path": "aalpy/learning_algs/stochastic_passive/ActiveAleriga.py",
    "content": "from abc import ABC, abstractmethod\nfrom random import randint, choice\n\nfrom aalpy.learning_algs import run_Alergia\n\n\nclass Sampler(ABC):\n    \"\"\"\n    Abstract class whose implementations are used to provide samples for active passive learning.\n    \"\"\"\n\n    @abstractmethod\n    def sample(self, sul, model):\n        \"\"\"\n        Abstract method implementing sampling strategy.\n\n        Args:\n\n            sul: system under learning\n            model: current learned model\n\n        Returns:\n\n            Data to be added to the data set for the passive learnign.\n\n        \"\"\"\n        pass\n\n\nclass RandomWordSampler(Sampler):\n    def __init__(self, num_walks, min_walk_len, max_walk_len):\n        self.num_walks = num_walks\n        self.min_walk_len = min_walk_len\n        self.max_walk_len = max_walk_len\n\n    def sample(self, sul, model):\n        input_al = list({el for s in model.states for el in s.transitions.keys()})\n        samples = []\n\n        for _ in range(self.num_walks):\n            walk_len = randint(self.min_walk_len, self.max_walk_len)\n            random_walk = tuple(choice(input_al) for _ in range(walk_len))\n\n            outputs = sul.query(random_walk)\n\n            sample = [outputs.pop(0)]\n            for i in range(len(outputs)):\n                sample.append((random_walk[i], outputs[i]))\n\n            samples.append(sample)\n\n        return samples\n\n\ndef run_active_Alergia(data, sul, sampler, n_iter, eps=0.05, compatibility_checker=None, automaton_type='mdp',\n                       print_info=True):\n    \"\"\"\n    Active version of IOAlergia algorithm. Based on intermediate hypothesis sampling on the system is performed.\n    Sampled data is added to the learning data and more accurate model is learned.\n    Proposed in \"Aichernig and Tappler, Probabilistic Black-Box Reachability Checking\"\n\n    Args:\n\n        data: initial learning data, in form [[O, (I,O), (I,O)...] ,...] where O is outputs and I input.\n        sul: system under learning which is basis for sampling\n        sampler: instance of Sampler class\n        n_iter: number of iterations of active learning\n        eps: epsilon value if the default checker is used. Look in run_Alergia for description\n        compatibility_checker: passed to run_Alergia, check there for description\n        automaton_type: either 'mdp' or 'smm' (Markov decision process or Stochastic Mealy Machine)\n        print_info: print current learning iteration\n\n    Returns:\n\n        learned MDP\n\n    \"\"\"\n    model = None\n    for i in range(n_iter):\n        if print_info:\n            print(f'Active Alergia Iteration: {i}')\n        model = run_Alergia(data, automaton_type='mdp', eps=eps, compatibility_checker=compatibility_checker)\n\n        new_samples = sampler.sample(sul, model)\n        data.extend(new_samples)\n\n    return model\n\n"
  },
  {
    "path": "aalpy/learning_algs/stochastic_passive/Alergia.py",
    "content": "import time\nfrom bisect import insort\n\nfrom aalpy.automata import MarkovChain, MdpState, Mdp, McState, StochasticMealyState, \\\n    StochasticMealyMachine\nfrom aalpy.learning_algs.stochastic_passive.CompatibilityChecker import HoeffdingCompatibility\nfrom aalpy.learning_algs.stochastic_passive.FPTA import create_fpta\n\nstate_automaton_map = {'mc': (McState, MarkovChain), 'mdp': (MdpState, Mdp),\n                       'smm': (StochasticMealyState, StochasticMealyMachine)}\n\n\nclass Alergia:\n    def __init__(self, data, automaton_type, eps=0.05, compatibility_checker=None, print_info=False):\n        assert eps == 'auto' or 0 < eps <= 2\n\n        self.automaton_type = automaton_type\n        self.print_info = print_info\n\n        if eps == 'auto':\n            eps = 10 / sum(len(d) - 1 for d in data)  # len - 1 to ignore initial output\n\n        self.diff_checker = HoeffdingCompatibility(eps) if not compatibility_checker else compatibility_checker\n\n        pta_start = time.time()\n\n        self.fpta = create_fpta(data, automaton_type)\n\n        pta_time = round(time.time() - pta_start, 2)\n        if self.print_info:\n            print(f'PTA Construction Time:  {pta_time}')\n\n    def compatibility_test(self, a, b):\n\n        # for MDPs and MC output of the state needs to be the same\n        if self.automaton_type != 'smm' and a.output != b.output:\n            return False\n\n        # leaf nodes are merged\n        if not a.original_children.keys() or not b.original_children.keys():\n            return True\n\n        # if states are statistically different, do not merge\n        if self.diff_checker.are_states_different(a, b):\n            return False\n\n        # check future for compatibility\n        for el in set(a.original_children.keys()).intersection(b.original_children.keys()):\n            if not self.compatibility_test(a.original_children[el], b.original_children[el]):\n                return False\n\n        return True\n\n    def merge(self, red_state, blue_state):\n        b_prefix = blue_state.prefix\n        to_update = self.fpta\n        for p in b_prefix[:-1]:\n            to_update = to_update.children[p]\n\n        to_update.children[b_prefix[-1]] = red_state\n\n        self.fold(red_state, blue_state)\n\n    def fold(self, red, blue):\n        for i, blue_child in blue.children.items():\n            if i in red.children:\n                red.input_frequency[i] += blue.input_frequency[i]\n                self.fold(red.children[i], blue_child)\n            else:\n                red.children[i] = blue.children[i]\n                red.input_frequency[i] = blue.input_frequency[i]\n\n    def run(self):\n        start_time = time.time()\n\n        # representative nodes that will be included in the final output model\n        red = [self.fpta]\n        # intermediate successors scheduled for testing\n        blue = self.fpta.successors()\n\n        while blue:\n            # get lexicographically minimal blue node (one with the shortest prefix)\n            lex_min_blue = min(list(blue))\n            merged = False\n\n            for red_state in red:\n                if self.compatibility_test(red_state, lex_min_blue):\n                    self.merge(red_state, lex_min_blue)\n                    merged = True\n                    break\n\n            if not merged:\n                insort(red, lex_min_blue)\n\n            blue.clear()\n\n            for r in red:\n                for s in r.successors():\n                    if s not in red:\n                        blue.append(s)\n\n        assert sorted(red, key=lambda x: len(x.prefix)) == red\n\n        self.normalize(red)\n\n        for i, r in enumerate(red):\n            r.state_id = f'q{i}'\n\n        if self.print_info:\n            print(f'Alergia Learning Time: {round(time.time() - start_time, 2)}')\n            print(f'Alergia Learned {len(red)} state automaton.')\n\n        return self.to_automaton(red)\n\n    def normalize(self, red):\n        red_sorted = sorted(list(red), key=lambda x: len(x.prefix))\n        for r in red_sorted:\n            # Initializing in here saves many unnecessary initializations\n            r.children_prob = dict()\n            if self.automaton_type == 'mc':\n                total_output = sum(r.input_frequency.values())\n                for i in r.input_frequency.keys():\n                    r.children_prob[i] = r.input_frequency[i] / total_output\n            else:\n                for i, o in r.input_frequency.keys():\n                    r.children_prob[(i, o)] = r.input_frequency[(i, o)] / r.get_input_frequency(i)\n\n    def to_automaton(self, red):\n        s_c = state_automaton_map[self.automaton_type][0]\n        a_c = state_automaton_map[self.automaton_type][1]\n\n        states = []\n        initial_state = None\n        red_mdp_map = dict()\n        for s in red:\n            if self.automaton_type != 'smm':\n                automaton_state = s_c(s.state_id, output=s.output)\n            else:\n                automaton_state = s_c(s.state_id)\n\n            automaton_state.prefix = s.prefix\n            states.append(automaton_state)\n            red_mdp_map[tuple(s.prefix)] = automaton_state\n            red_mdp_map[automaton_state.state_id] = s\n            if not s.prefix:\n                initial_state = automaton_state\n\n        for s in states:\n            red_eq = red_mdp_map[s.state_id]\n            for io, c in red_eq.children.items():\n                destination = red_mdp_map[tuple(c.prefix)]\n                i = io if self.automaton_type == 'mc' else io[0]\n                if self.automaton_type == 'mdp':\n                    s.transitions[i].append((destination, red_eq.children_prob[io]))\n                elif self.automaton_type == 'mc':\n                    s.transitions.append((destination, red_eq.children_prob[i]))\n                elif self.automaton_type == 'smm':\n                    s.transitions[i].append((destination, io[1], red_eq.children_prob[io]))\n                else:\n                    s.transitions[i] = destination\n\n        return a_c(initial_state, states)\n\n\ndef run_Alergia(data, automaton_type, eps=0.05, compatibility_checker=None, print_info=False):\n    \"\"\"\n    Run Alergia or IOAlergia on provided data.\n\n    Args:\n\n        data: data either in a form [[I,I,I],[I,I,I],...] if learning Markov Chains or [[O,(I,O),(I,O)...],\n        [O,(I,O), (I, O)_,...],..,] if learning MDPs, or [[I,O,I,O...], [I,O_,...],..,] if learning SMMs\n         (I represents input, O output).\n        Note that in whole data first symbol of each entry should be the same (Initial output of the MDP/MC).\n\n        eps: epsilon value if you are using default HoeffdingCompatibility. If it is set to 'auto' it will be computed\n        as 10/(all steps in the data)\n\n        automaton_type: either 'mdp' if you wish to learn an MDP, 'mc' if you want to learn Markov Chain, or 'smm' if\n        you want to learn stochastic Mealy machine\n\n        compatibility_checker: impl. of class CompatibilityChecker, HoeffdingCompatibility with eps value by default\n\n        (note: not interchangeable, depends on data)\n        print_info:\n\n    Returns:\n\n        mdp, smm, or markov chain\n    \"\"\"\n    assert automaton_type in {'mdp', 'mc', 'smm'}\n    alergia = Alergia(data, eps=eps, automaton_type=automaton_type,\n                      compatibility_checker=compatibility_checker, print_info=print_info)\n    model = alergia.run()\n    del alergia.fpta, alergia\n    return model\n\n\ndef run_JAlergia(path_to_data_file, automaton_type, path_to_jAlergia_jar, eps=0.05, heap_memory='-Xmx2048M'):\n    \"\"\"\n    Run Alergia or IOAlergia on provided data.\n\n    Args:\n\n        path_to_data_file: either a data in a list of lists or a path to file containing data.\n        Form [[I,I,I],[I,I,I],...] if learning Markov Chains or\n        [[O,I,O,I,O...], [O,I,O_,...],..,] if learning MDPs (I represents input, O output), or\n        [[I,O,I,O...], [I,O_,...],..,] if learning SMMs.\n        Note that in whole data first symbol of each entry should be the same (Initial output of the MDP/MC).\n\n        eps: epsilon value\n\n        heap_memory: java heap memory flag, increase if heap is full\n\n        automaton_type: either 'mdp' if you wish to learn an MDP, 'mc' if you want to learn Markov Chain,\n         or 'smm' if you\n                        want to learn stochastic Mealy machine\n\n\n    Returns:\n\n        learnedModel\n    \"\"\"\n    assert automaton_type in {'mdp', 'smm', 'mc'}\n\n    import os\n    import subprocess\n    from aalpy.utils.FileHandler import load_automaton_from_file\n\n    save_file = \"jAlergiaModel.dot\"\n    delete_tmp_file = False\n    if os.path.exists(save_file):\n        os.remove(save_file)\n\n    if os.path.exists(path_to_jAlergia_jar):\n        path_to_jAlergia_jar = os.path.abspath(path_to_jAlergia_jar)\n    else:\n        print(f'JAlergia jar not found at {path_to_jAlergia_jar}.')\n        return\n\n    if isinstance(path_to_data_file, str):\n        if os.path.exists(path_to_data_file):\n            abs_path = os.path.abspath(path_to_data_file)\n        else:\n            print('Input file not found.')\n            return\n    else:\n        if not isinstance(path_to_data_file, (list, tuple)):\n            print('Data should be either a list of sequences or a path to the data file.')\n        with open('jAlergiaInputs.txt', 'w') as f:\n            for seq in path_to_data_file:\n                f.write(','.join([str(s) for s in seq]) + '\\n')\n        delete_tmp_file = True\n        abs_path = os.path.abspath('jAlergiaInputs.txt')\n\n    subprocess.call(['java', heap_memory, '-jar', path_to_jAlergia_jar, '-input', abs_path, '-eps', str(eps), '-type',\n                     automaton_type])\n\n    if not os.path.exists(save_file):\n        print(\"JAlergia error occurred.\")\n        return\n\n    model = load_automaton_from_file(save_file, automaton_type=automaton_type)\n    os.remove(save_file)\n    if delete_tmp_file:\n        os.remove('jAlergiaInputs.txt')\n\n    return model\n"
  },
  {
    "path": "aalpy/learning_algs/stochastic_passive/CompatibilityChecker.py",
    "content": "from abc import ABC, abstractmethod\nfrom math import sqrt, log\n\nfrom aalpy.learning_algs.stochastic_passive.FPTA import AlergiaPtaNode\n\n\nclass CompatibilityChecker(ABC):\n\n    @abstractmethod\n    def are_states_different(self, a: AlergiaPtaNode, b: AlergiaPtaNode, **kwargs) -> bool:\n        pass\n\n\nclass HoeffdingCompatibility(CompatibilityChecker):\n    def __init__(self, eps):\n        self.eps = eps\n        self.log_term = sqrt(0.5 * log(2 / self.eps))\n\n    def hoeffding_bound(self, a: dict, b: dict):\n        n1 = sum(a.values())\n        n2 = sum(b.values())\n\n        if n1 * n2 == 0:\n            return False\n\n        bound = (sqrt(1 / n1) + sqrt(1 / n2)) * self.log_term\n\n        for o in set(a.keys()).union(b.keys()):\n            a_freq = a[o] if o in a else 0\n            b_freq = b[o] if o in b else 0\n\n            if abs(a_freq / n1 - b_freq / n2) > bound:\n                return True\n        return False\n\n    def are_states_different(self, a: AlergiaPtaNode, b: AlergiaPtaNode, **kwargs):\n\n        # no data available for any node\n        if len(a.original_input_frequency) * len(b.original_children) == 0:\n            return False\n\n        # assuming tuples are used for IOAlergia and not as Alergia outputs\n        if not isinstance(list(a.original_input_frequency.keys())[0], tuple):\n            return self.hoeffding_bound(a.original_input_frequency, b.original_input_frequency)\n\n        # IOAlergia: check hoeffding bound conditioned on inputs\n        for i in a.get_immutable_inputs().intersection(b.get_immutable_inputs()):\n            if self.hoeffding_bound(a.get_original_output_frequencies(i), b.get_original_output_frequencies(i)):\n                return True\n        return False\n"
  },
  {
    "path": "aalpy/learning_algs/stochastic_passive/FPTA.py",
    "content": "from functools import total_ordering\n\n\n@total_ordering\nclass AlergiaPtaNode:\n    __slots__ = ['prefix', 'output', 'input_frequency', 'children', 'original_input_frequency',\n                 'original_children', 'state_id', 'children_prob']\n\n    def __init__(self, output, prefix):\n        self.prefix = prefix\n        self.output = output\n        # mutable values\n        self.input_frequency = dict()\n        self.children = dict()\n        # immutable values used for statistical computability check\n        self.original_input_frequency = dict()\n        self.original_children = dict()\n        # # for visualization\n        self.state_id = None\n        self.children_prob = None\n\n    def successors(self):\n        return list(self.children.values())\n\n    def get_inputs(self):\n        return {i for i, _ in self.input_frequency.keys()}\n\n    def get_input_frequency(self, target_input):\n        return sum(freq for (i, _), freq in self.input_frequency.items() if i == target_input)\n\n    def get_output_frequencies(self, target_input):\n        return {o: freq for (i, o), freq in self.input_frequency.items() if i == target_input}\n\n    def get_immutable_inputs(self):\n        return {i for i, _ in self.original_children.keys()}\n\n    def get_immutable_input_frequency(self, target_input):\n        return sum(freq for (i, _), freq in self.original_input_frequency.items() if i == target_input)\n\n    def get_original_output_frequencies(self, target_input):\n        return {o: freq for (i, o), freq in self.original_input_frequency.items() if i == target_input}\n\n    def __lt__(self, other):\n        return (len(self.prefix), self.prefix) < (len(other.prefix), other.prefix)\n\n    def __le__(self, other):\n        return self < other or self == other\n\n    def __eq__(self, other):\n        return self.prefix == other.prefix\n\n\ndef create_fpta(data, automaton_type):\n    # in case of SMM, there is no initial input\n    seq_iter_index = 0 if automaton_type == 'smm' else 1\n\n    initial_output = None if automaton_type == 'smm' else data[0][0]\n\n    root_node = AlergiaPtaNode(initial_output, ())\n\n    for seq in data:\n        if automaton_type != 'smm' and seq[0] != root_node.output:\n            print('All sequences passed to Alergia should have the same initial output!')\n            assert False\n\n        curr_node = root_node\n\n        for el in seq[seq_iter_index:]:\n            if el not in curr_node.children:\n                out = None\n                if automaton_type == 'mc':\n                    out = el\n                elif automaton_type == 'mdp':\n                    out = el[1]\n\n                reached_node = AlergiaPtaNode(out, curr_node.prefix + (el,))\n                curr_node.children[el] = reached_node\n                curr_node.original_children[el] = reached_node\n\n                curr_node.input_frequency[el] = 0\n                curr_node.original_input_frequency[el] = 0\n\n            curr_node.input_frequency[el] += 1\n            curr_node.original_input_frequency[el] += 1\n\n            curr_node = curr_node.children[el]\n\n    return root_node\n"
  },
  {
    "path": "aalpy/learning_algs/stochastic_passive/__init__.py",
    "content": ""
  },
  {
    "path": "aalpy/oracles/BreadthFirstExplorationEqOracle.py",
    "content": "from aalpy.base.Oracle import Oracle\nfrom aalpy.base.SUL import SUL\n\nfrom itertools import product\nfrom random import shuffle\n\n\nclass BreadthFirstExplorationEqOracle(Oracle):\n    \"\"\"\n    Breadth-First Exploration of all possible input combinations up to a certain depth.\n    Extremely inefficient equivalence oracle and should only be used for demonstrations.\n    \"\"\"\n\n    def __init__(self, alphabet, sul: SUL, depth=5):\n        \"\"\"\n        Args:\n\n            alphabet: input alphabet\n\n            sul: system under learning\n\n            depth: depth of the tree\n        \"\"\"\n\n        super().__init__(alphabet, sul)\n        self.depth = depth\n        self.queue = []\n\n        # generate all test-cases\n        for seq in product(self.alphabet, repeat=self.depth):\n            self.queue.append(seq)\n\n        shuffle(self.queue)\n\n    def find_cex(self, hypothesis):\n\n        while self.queue:\n            test_case = self.queue.pop()\n            self.reset_hyp_and_sul(hypothesis)\n\n            for ind, letter in enumerate(test_case):\n                out_hyp = hypothesis.step(letter)\n                out_sul = self.sul.step(letter)\n                self.num_steps += 1\n\n                if out_hyp != out_sul:\n                    self.sul.post()\n                    return test_case[:ind + 1]\n\n            # cleanup after the test case\n            self.sul.post()\n\n        return None\n"
  },
  {
    "path": "aalpy/oracles/CacheBasedEqOracle.py",
    "content": "from aalpy.base import Oracle, SUL\nfrom aalpy.base.SUL import CacheSUL\n\nfrom random import choice\n\n\nclass CacheBasedEqOracle(Oracle):\n    \"\"\"\n    Equivalence oracle where test case selection is based on the multiset of all traces observed during learning and\n    conformance checking. Firstly all leaves of the tree are gathered and then random leaves are extended with a suffix\n    of length (max_tree_depth + 'depth_increase') - len(prefix), where prefix is a path to the leaf.\n    \"\"\"\n\n    def __init__(self, alphabet: list, sul: SUL, num_walks=100, depth_increase=5, reset_after_cex=True):\n        \"\"\"\n\n        Args:\n\n            alphabet: input alphabet\n\n            sul: system under learning\n\n            num_walks: number of random walks to perform\n\n            depth_increase: length of random walk that exceeds the maximum depth of the tree\n\n            reset_after_cex: if False, total number of queries will equal num_walks, if True, in each execution of\n                find_cex method at most num_walks will be executed\n        \"\"\"\n\n        super().__init__(alphabet, sul)\n        self.cache_tree = None\n        self.num_walks = num_walks\n        self.depth_increase = depth_increase\n        self.reset_after_cex = reset_after_cex\n        self.num_walks_done = 0\n\n    def find_cex(self, hypothesis):\n\n        assert isinstance(self.sul, CacheSUL)\n        self.cache_tree = self.sul.cache\n\n        paths_to_leaves = self.get_paths(self.cache_tree.root_node)\n        max_tree_depth = len(max(paths_to_leaves, key=len))\n\n        while self.num_walks_done < self.num_walks:\n            self.num_walks_done += 1\n            self.reset_hyp_and_sul(hypothesis)\n\n            prefix = choice(paths_to_leaves)\n            walk_len = (max_tree_depth + self.depth_increase) - len(prefix)\n            inputs = []\n            inputs.extend(prefix)\n\n            for p in prefix:\n                hypothesis.step(p)\n                self.sul.step(p)\n                self.num_steps += 1\n\n            for _ in range(walk_len):\n                inputs.append(choice(self.alphabet))\n\n                out_sul = self.sul.step(inputs[-1])\n                out_hyp = hypothesis.step(inputs[-1])\n                self.num_steps += 1\n\n                if out_sul != out_hyp:\n                    if self.reset_after_cex:\n                        self.num_walks_done = 0\n                    self.sul.post()\n                    return inputs\n\n            # cleanup after the test case\n            self.sul.post()\n\n        return None\n\n    def get_paths(self, t, paths=None, current_path=None):\n        \"\"\"\n\n        Args:\n          t: \n          paths:  (Default value = None)\n          current_path:  (Default value = None)\n\n        Returns:\n\n        \"\"\"\n        if paths is None:\n            paths = []\n        if current_path is None:\n            current_path = []\n\n        if len(t.children) == 0:\n            paths.append(current_path)\n        else:\n            for inp, child in t.children.items():\n                current_path.append(inp)\n                self.get_paths(child, paths, list(current_path))\n        return paths\n"
  },
  {
    "path": "aalpy/oracles/KWayStateCoverageEqOracle.py",
    "content": "from random import choices, shuffle\n\nfrom aalpy.base import Oracle, SUL\nfrom itertools import combinations, permutations\n\n\nclass KWayStateCoverageEqOracle(Oracle):\n    \"\"\"\n    A test case will be computed for every k-combination or k-permutation of states with additional\n    random walk at the end.\n    \"\"\"\n\n    def __init__(self, alphabet: list, sul: SUL, k=2, random_walk_len=20,\n                 method='permutations',\n                 num_test_lower_bound=None,\n                 num_test_upper_bound=None):\n        \"\"\"\n\n        Args:\n\n            alphabet: input alphabet\n            sul: system under learning\n            k: k value used for k-wise combinations/permutations of states\n            random_walk_len: length of random walk performed at the end of each combination/permutation\n            method: either 'combinations' or 'permutations'\n            num_test_lower_bound= either None or number a minimum number of test-cases to be performed in each testing round\n            num_test_upper_bound= either None or number a maximum number of test-cases to be performed in each testing round\n\n        \"\"\"\n        super().__init__(alphabet, sul)\n        assert k > 1 and method in ['combinations', 'permutations']\n        self.k = k\n        self.cache = set()\n        self.fun = combinations if method == 'combinations' else permutations\n        self.random_walk_len = random_walk_len\n\n        self.num_test_lower_bound = num_test_lower_bound\n        self.num_test_upper_bound = num_test_upper_bound\n\n    def find_cex(self, hypothesis):\n\n        shuffle(hypothesis.states)\n\n        test_cases = []\n        for comb in self.fun(hypothesis.states, self.k):\n            prefixes = frozenset([c.prefix for c in comb])\n            if prefixes in self.cache:\n                continue\n            self.cache.add(prefixes)\n\n            index = 0\n            path = comb[0].prefix\n            possible_test_case = True\n\n            while index < len(comb) - 1:\n                path_between_states = hypothesis.get_shortest_path(comb[index], comb[index + 1])\n                index += 1\n\n                if not path_between_states:\n                    possible_test_case = False\n                    break\n\n                path += path_between_states\n\n            if possible_test_case is None:\n                continue\n\n            path += tuple(choices(self.alphabet, k=self.random_walk_len))\n            test_cases.append(path)\n\n        # lower bound (also accounts for single state hypothesis when a lower bound is not defined)\n        lower_bound = self.num_test_lower_bound\n        if len(hypothesis.states) == 1 and lower_bound is None:\n            lower_bound = 50\n\n        while lower_bound is not None and len(test_cases) < lower_bound:\n            path = tuple(choices(self.alphabet, k=self.random_walk_len))\n            test_cases.append(path)\n\n        # upper bound\n        if self.num_test_upper_bound is not None:\n            test_cases = test_cases[:self.num_test_upper_bound]\n\n        for path in test_cases:\n            self.reset_hyp_and_sul(hypothesis)\n            for i, p in enumerate(path):\n                out_sul = self.sul.step(p)\n                out_hyp = hypothesis.step(p)\n                self.num_steps += 1\n\n                if out_sul != out_hyp:\n                    self.sul.post()\n                    return path[:i + 1]\n\n            # cleanup after the test case\n            self.sul.post()\n\n        return None\n"
  },
  {
    "path": "aalpy/oracles/KWayTransitionCoverageEqOracle.py",
    "content": "from collections import namedtuple\nfrom itertools import product\nfrom random import choices, randint, random\n\nfrom aalpy.base import SUL, Automaton, Oracle\n\nKWayTransition = namedtuple(\"KWayTransition\", \"start_state end_state steps\")\nPath = namedtuple(\"Path\", \"start_state end_state steps kWayTransitions, transitions_log\")\n\n\nclass KWayTransitionCoverageEqOracle(Oracle):\n    \"\"\"\n    This Equivalence oracle selects test cases based on k-way transitions coverage. It does that\n    by generating random queries and finding the smallest subset with the highest coverage. In other words, this oracle\n    finds counter examples by running random paths that cover all pairwise / k-way transitions.\n    \"\"\"\n\n    def __init__(self, alphabet: list, sul: SUL, k: int = 2, method='random',\n                 num_generate_paths: int = 1000,\n                 max_path_len: int = 50,\n                 max_number_of_steps: int = 0,\n                 optimize: str = 'steps',\n                 random_walk_len=10,\n                 num_test_lower_bound=None,\n                 num_test_upper_bound=None,\n                 ):\n        \"\"\"\n        Args:\n\n            alphabet: input alphabet\n            sul: system under learning\n            k: k value used for K-Way transitions, i.e the number of steps between the start and the end of a transition\n            method: defines how the queries are generated 'random' or 'prefix'\n            num_generate_paths: number of random queries used to find the optimal subset\n            max_path_len: the maximum step size of a generated path\n            max_number_of_steps: maximum number of steps that will be executed on the SUL (0 = no limit)\n            optimize: minimize either the number of  'steps' or 'queries' that are executed\n            random_walk_len: the number of steps that are added by 'prefix' generated paths\n            num_test_lower_bound= either None or number a minimum number of test-cases to be performed in each testing round\n            num_test_upper_bound= either None or number a maximum number of test-cases to be performed in each testing round\n\n        \"\"\"\n        super().__init__(alphabet, sul)\n        assert k >= 2\n        assert method in ['random', 'prefix']\n        assert optimize in ['steps', 'queries']\n\n        self.k = k\n        self.method = method\n        self.num_generate_paths = num_generate_paths\n        self.max_path_len = max_path_len\n        self.max_number_of_steps = max_number_of_steps\n        self.optimize = optimize\n        self.random_walk_len = random_walk_len\n\n        # to account for cases where number of test-cases generated by the oracle is either too big or too small\n        # num_test_lower_bound does not affect k-way transition coverage, but limiting the upper bound might as not all\n        # tests will be executed\n        self.num_test_lower_bound = num_test_lower_bound\n        self.num_test_upper_bound = num_test_upper_bound\n\n        self.cached_paths = list()\n\n    def find_cex(self, hypothesis: Automaton):\n        if self.method == 'random':\n            paths = self.generate_random_paths(hypothesis) + self.cached_paths\n            self.cached_paths = self.greedy_set_cover(hypothesis, paths)\n\n            # to account for lower bound\n            additional_test_cases = []\n            num_executed_tcs = 0\n            if self.num_test_lower_bound is not None:\n                while len(self.cached_paths) + len(additional_test_cases) < self.num_test_lower_bound:\n                    random_length = randint(self.k, self.max_path_len)\n                    steps = tuple(choices(self.alphabet, k=random_length))\n                    additional_test_cases.append(self.create_path(hypothesis, steps))\n\n            for path in list(self.cached_paths + additional_test_cases):\n                if self.num_test_upper_bound is not None and num_executed_tcs >= self.num_test_upper_bound:\n                    break\n\n                counter_example = self.check_path(hypothesis, path.steps)\n                num_executed_tcs += 1\n\n                if counter_example is not None:\n                    return counter_example\n\n        elif self.method == 'prefix':\n            generated_paths = []\n            # generate tcs with prefix coverage\n            for steps in self.generate_prefix_steps(hypothesis):\n                generated_paths.append(self.create_path(hypothesis, steps))\n\n                if self.num_test_lower_bound is not None and len(generated_paths) >= self.num_test_lower_bound:\n                    break\n\n            # add random paths if needed\n            while self.num_test_lower_bound is not None and len(generated_paths) < self.num_test_lower_bound:\n                random_length = randint(self.k, self.max_path_len)\n                steps = tuple(choices(self.alphabet, k=random_length))\n                generated_paths.append(self.create_path(hypothesis, steps))\n\n            # limit upper bound\n            if self.num_test_upper_bound is not None:\n                generated_paths = generated_paths[:self.num_test_upper_bound]\n\n            for path in generated_paths:\n                counter_example = self.check_path(hypothesis, path.steps)\n                if counter_example is not None:\n                    return counter_example\n\n        return None\n\n    def greedy_set_cover(self, hypothesis: Automaton, paths: list):\n        result = list()\n        covered = set()\n        step_count = 0\n\n        size_of_universe = len(hypothesis.states) * pow(len(self.alphabet), self.k)\n\n        while size_of_universe > len(covered):\n            path = self.select_optimal_path(covered, paths)\n\n            if path is not None:\n                covered = set.union(covered, path.kWayTransitions)\n                paths.remove(path)\n                result.append(path)\n                step_count += len(path.steps)\n\n            if path is None or not paths:\n                paths = [self.create_path(hypothesis, steps) for steps in self.generate_prefix_steps(hypothesis)]\n\n            if self.max_number_of_steps != 0 and step_count > self.max_number_of_steps:\n                break\n\n        return result\n\n    def select_optimal_path(self, covered: set, paths: list) -> Path:\n        result = None\n\n        if self.optimize == 'steps':\n            result = max(paths, key=lambda p: len(\n                p.kWayTransitions - covered) / len(p.steps))\n\n        if self.optimize == 'queries':\n            result = max(paths, key=lambda p: len(p.kWayTransitions - covered))\n\n        return result if len(result.kWayTransitions - covered) != 0 else None\n\n    def generate_random_paths(self, hypothesis: Automaton) -> list:\n        result = list()\n\n        for _ in range(self.num_generate_paths):\n            random_length = randint(self.k, self.max_path_len)\n            steps = tuple(choices(self.alphabet, k=random_length))\n            path = self.create_path(hypothesis, steps)\n            result.append(path)\n\n        return result\n\n    def generate_prefix_steps(self, hypothesis: Automaton):\n        for state in reversed(hypothesis.states):\n            prefix = state.prefix\n            for steps in sorted(product(self.alphabet, repeat=self.k), key=lambda k: random()):\n                yield prefix + steps + tuple(choices(self.alphabet, k=self.random_walk_len))\n\n    def create_path(self, hypothesis: Automaton, steps: tuple) -> Path:\n        transitions = set()\n        transitions_log = list()\n\n        prev_states = list()\n        end_states = list()\n\n        hypothesis.reset_to_initial()\n\n        for i, s in enumerate(steps):\n            prev_states.append(hypothesis.current_state)\n            hypothesis.step(s)\n            end_states.append(hypothesis.current_state)\n\n        for i in range(len(steps) - self.k + 1):\n            prev_state = prev_states[i]\n            end_state = end_states[i + self.k - 1]\n            chunk = tuple(steps[i:i + self.k])\n\n            transition = KWayTransition(prev_state.state_id, end_state.state_id, chunk)\n\n            transitions_log.append(transition)\n            transitions.add(transition)\n\n        return Path(hypothesis.initial_state, end_states[-1], steps, transitions, transitions_log)\n\n    def check_path(self, hypothesis: Automaton, steps: tuple):\n        self.reset_hyp_and_sul(hypothesis)\n\n        for i, s in enumerate(steps):\n            out_sul = self.sul.step(s)\n            out_hyp = hypothesis.step(s)\n\n            self.num_steps += 1\n\n            if out_sul != out_hyp:\n                self.sul.post()\n                return steps[:i + 1]\n\n        # cleanup after the test case\n        self.sul.post()\n\n        return None\n"
  },
  {
    "path": "aalpy/oracles/PacOracle.py",
    "content": "from math import ceil, log\nfrom random import choice, randint\n\nfrom aalpy.base import Oracle, SUL\n\n\nclass PacOracle(Oracle):\n    \"\"\"\n    Probably approximately correct oracle. Number of queries is defined by the following equation:\n    1 / self.epsilon * (log(1 / self.delta) + self.round * log(2)), where epsilon is the generalization error and delta\n    the confidence. Thus, returned hypothesis is the epsilon-approximation of the correct hypothesis with the probability\n    1 - delta (Mohri, M et al.: Foundations of Machine Learning).\n    Queries are of random length in a predefined range.\n    \"\"\"\n\n    def __init__(self, alphabet: list, sul: SUL, epsilon=0.01, delta=0.01, min_walk_len=10, max_walk_len=25):\n\n        super().__init__(alphabet, sul)\n        self.min_walk_len = min_walk_len\n        self.max_walk_len = max_walk_len\n        self.epsilon = epsilon\n        self.delta = delta\n        self.round = 0\n\n    def find_cex(self, hypothesis):\n        self.round += 1\n        num_test_cases = 1 / self.epsilon * (log(1 / self.delta) + self.round * log(2))\n\n        for i in range(ceil(num_test_cases)):\n            inputs = []\n            self.reset_hyp_and_sul(hypothesis)\n\n            num_steps = randint(self.min_walk_len, self.max_walk_len)\n\n            for _ in range(num_steps):\n                inputs.append(choice(self.alphabet))\n\n                out_sul = self.sul.step(inputs[-1])\n                out_hyp = hypothesis.step(inputs[-1])\n                self.num_steps += 1\n\n                if out_sul != out_hyp:\n                    self.sul.post()\n                    return inputs\n\n            # cleanup after the test case\n            self.sul.post()\n\n        return None\n"
  },
  {
    "path": "aalpy/oracles/PerfectKnowledgeEqOracle.py",
    "content": "from aalpy.base import Oracle, SUL, DeterministicAutomaton\nfrom aalpy.utils import bisimilar\n\n\nclass PerfectKnowledgeEqOracle(Oracle):\n    \"\"\"\n    Oracle that can be used when developing and testing deterministic learning algorithms,\n    so that the focus is put off equivalence query.\n    \"\"\"\n    def __init__(self, alphabet: list, sul: SUL, model_under_learning: DeterministicAutomaton):\n        super().__init__(alphabet, sul, )\n        self.model_under_learning = model_under_learning\n\n    def find_cex(self, hypothesis):\n        return bisimilar(hypothesis, self.model_under_learning, return_cex=True)\n"
  },
  {
    "path": "aalpy/oracles/ProvidedSequencesOracleWrapper.py",
    "content": "from aalpy.base import Oracle, SUL\n\n\nclass ProvidedSequencesOracleWrapper(Oracle):\n    def __init__(self, alphabet: list, sul: SUL, oracle: Oracle, provided_counterexamples: list):\n        \"\"\"\n        Oracle wrapper which first executes provided sequences (possible counterexamples) and then switches to another\n        oracle instance.\n\n        Args:\n            alphabet: input alphabet\n            sul: system under learning\n            oracle: oracle which will be used once all provided counterexamples are used\n            provided_counterexamples: list of input sequance lists. eg [[1,2,3], [2,3,1], ...] where 1,2,3 are elements\n            of input alphabet\n        \"\"\"\n        super().__init__(alphabet, sul)\n        self.provided_counterexamples = provided_counterexamples\n        self.oracle = oracle\n\n    def find_cex(self, hypothesis):\n        for provided_cex in self.provided_counterexamples.copy():\n            inputs = []\n            self.reset_hyp_and_sul(hypothesis)\n\n            for i in provided_cex:\n                inputs.append(i)\n                out_sul = self.sul.step(i)\n                out_hyp = hypothesis.step(i)\n                self.num_steps += 1\n\n                if out_sul != out_hyp:\n                    self.sul.post()\n                    return tuple(inputs)\n\n            # cleanup after the test case\n            self.sul.post()\n\n            self.provided_counterexamples.remove(provided_cex)\n\n        cex = self.oracle.find_cex(hypothesis)\n\n        # to account for steps statistics from actual oracle\n        if cex is None:\n            self.num_queries += self.oracle.num_queries\n            self.num_steps += self.oracle.num_steps\n\n        return cex\n\n"
  },
  {
    "path": "aalpy/oracles/RandomWalkEqOracle.py",
    "content": "import random\n\nfrom aalpy.automata import Onfsm, Mdp, StochasticMealyMachine\nfrom aalpy.base import Oracle, SUL\n\nautomaton_dict = {Onfsm: 'onfsm', Mdp: 'mdp', StochasticMealyMachine: 'smm'}\n\n\nclass RandomWalkEqOracle(Oracle):\n    \"\"\"\n    Equivalence oracle where queries contain random inputs. After every step, 'reset_prob' determines the probability\n    that the system will reset and a new query asked.\n    \"\"\"\n\n    def __init__(self, alphabet: list, sul: SUL, num_steps=5000, reset_after_cex=True, reset_prob=0.09):\n        \"\"\"\n\n        Args:\n            alphabet: input alphabet\n\n            sul: system under learning\n\n            num_steps: number of steps to be preformed\n\n            reset_after_cex: if true, num_steps will be preformed after every counter example, else the total number\n                or steps will equal to num_steps\n\n            reset_prob: probability that the new query will be asked\n        \"\"\"\n\n        super().__init__(alphabet, sul)\n        self.step_limit = num_steps\n        self.reset_after_cex = reset_after_cex\n        self.reset_prob = reset_prob\n        self.random_steps_done = 0\n        self.automata_type = None\n\n    def find_cex(self, hypothesis):\n        if not self.automata_type:\n            self.automata_type = automaton_dict.get(type(hypothesis), 'det')\n\n        inputs = []\n        outputs = []\n        self.reset_hyp_and_sul(hypothesis)\n\n        while self.random_steps_done < self.step_limit:\n            self.num_steps += 1\n            self.random_steps_done += 1\n\n            if random.random() <= self.reset_prob:\n                self.sul.post()\n                self.reset_hyp_and_sul(hypothesis)\n                inputs.clear()\n                outputs.clear()\n\n            inputs.append(random.choice(self.alphabet))\n\n            out_sul = self.sul.step(inputs[-1])\n            outputs.append(out_sul)\n\n            if self.automata_type == 'det':\n                out_hyp = hypothesis.step(inputs[-1])\n            else:\n                out_hyp = hypothesis.step_to(inputs[-1], out_sul)\n\n            if self.automata_type == 'det' and out_sul != out_hyp:\n                if self.reset_after_cex:\n                    self.random_steps_done = 0\n\n                self.sul.post()\n                return inputs\n            elif out_hyp is None and self.automata_type != 'det':\n                if self.reset_after_cex:\n                    self.random_steps_done = 0\n                self.sul.post()\n\n                if self.automata_type == 'onfsm':\n                    return inputs, outputs\n                else:\n                    # hypothesis is MDP or SMM\n                    cex = [hypothesis.initial_state.output] if self.automata_type == 'mdp' else []\n                    for i, o in zip(inputs, outputs):\n                        cex.extend([i, o])\n                    return cex\n\n        return None\n\n    def reset_counter(self):\n        if self.reset_after_cex:\n            self.random_steps_done = 0"
  },
  {
    "path": "aalpy/oracles/RandomWordEqOracle.py",
    "content": "from statistics import mean\n\nfrom aalpy.automata import Onfsm, Mdp, StochasticMealyMachine\nfrom aalpy.base import Oracle, SUL\nfrom random import randint, choice\n\nautomaton_dict = {Onfsm: 'onfsm', Mdp: 'mdp', StochasticMealyMachine: 'smm'}\n\n\nclass RandomWordEqOracle(Oracle):\n    \"\"\"\n    Equivalence oracle where queries are of random length in a predefined range.\n    \"\"\"\n\n    def __init__(self, alphabet: list, sul: SUL, num_walks=500, min_walk_len=10, max_walk_len=30,\n                 reset_after_cex=True):\n        \"\"\"\n        Args:\n            alphabet: input alphabet\n\n            sul: system under learning\n\n            num_walks: number of walks to perform during search for cex\n\n            min_walk_len: minimum length of each walk\n\n            max_walk_len: maximum length of each walk\n\n            reset_after_cex: if True, num_walks will be preformed after every counter example, else the total number\n                or walks will equal to num_walks\n        \"\"\"\n\n        super().__init__(alphabet, sul)\n        self.num_walks = num_walks\n        self.min_walk_len = min_walk_len\n        self.max_walk_len = max_walk_len\n        self.reset_after_cex = reset_after_cex\n        self.num_walks_done = 0\n        self.automata_type = None\n\n        self.walk_lengths = [randint(min_walk_len, max_walk_len) for _ in range(num_walks)]\n\n    def find_cex(self, hypothesis):\n        if not self.automata_type:\n            self.automata_type = automaton_dict.get(type(hypothesis), 'det')\n\n        while self.num_walks_done < self.num_walks:\n            inputs = []\n            outputs = []\n            self.reset_hyp_and_sul(hypothesis)\n            self.num_walks_done += 1\n\n            num_steps = self.walk_lengths.pop(0)\n\n            for _ in range(num_steps):\n                inputs.append(choice(self.alphabet))\n\n                out_sul = self.sul.step(inputs[-1])\n                if self.automata_type == 'det':\n                    out_hyp = hypothesis.step(inputs[-1])\n                else:\n                    out_hyp = hypothesis.step_to(inputs[-1], out_sul)\n                    outputs.append(out_sul)\n\n                self.num_steps += 1\n\n                if self.automata_type == 'det' and out_sul != out_hyp:\n                    self.sul.post()\n\n                    if self.reset_after_cex:\n                        self.walk_lengths = [randint(self.min_walk_len, self.max_walk_len) for _ in range(self.num_walks)]\n                        self.num_walks_done = 0\n\n                    return inputs\n\n                elif out_hyp is None and self.automata_type != 'det':\n                    self.sul.post()\n\n                    if self.reset_after_cex:\n                        self.walk_lengths = [randint(self.min_walk_len, self.max_walk_len) for _ in range(self.num_walks)]\n                        self.num_walks_done = 0\n\n                    if self.automata_type == 'onfsm':\n                        return inputs, outputs\n                    else:\n                        # hypothesis is MDP or SMM\n                        cex = [hypothesis.initial_state.output] if self.automata_type == 'mdp' else []\n                        for i, o in zip(inputs, outputs):\n                            cex.extend([i, o])\n                        return cex\n\n            # cleanup after the test case\n            self.sul.post()\n\n        return None\n\n    def reset_counter(self):\n        if self.reset_after_cex:\n            self.num_walks_done = 0\n"
  },
  {
    "path": "aalpy/oracles/StatePrefixEqOracle.py",
    "content": "import random\n\nfrom aalpy.base.Oracle import Oracle\nfrom aalpy.base.SUL import SUL\n\n\nclass StatePrefixEqOracle(Oracle):\n    \"\"\"\n    Equivalence oracle that achieves guided exploration by starting random walks from each state a walk_per_state\n    times. Starting the random walk ensures that all states are reached at least walk_per_state times and that their\n    surrounding is randomly explored. Note that each state serves as a root of random exploration of maximum length\n    rand_walk_len exactly walk_per_state times during learning. Therefore excessive testing of initial states is\n    avoided.\n    \"\"\"\n    def __init__(self, alphabet: list, sul: SUL, walks_per_state=25, walk_len=12, max_tests=None, depth_first=True):\n        \"\"\"\n        Args:\n\n            alphabet: input alphabet\n\n            sul: system under learning\n\n            walks_per_state:individual walks per state of the automaton over the whole learning process\n\n            walk_len:length of random walk\n\n            max_tests:number of maximum tests. If set to None, this parameter will be ignored.\n\n            depth_first:first explore the newest states\n        \"\"\"\n\n        super().__init__(alphabet, sul)\n        self.walks_per_state = walks_per_state\n        self.steps_per_walk = walk_len\n        self.depth_first = depth_first\n        self.max_tests = max_tests\n\n        self.freq_dict = dict()\n\n    def find_cex(self, hypothesis):\n        states_to_cover = []\n        for state in hypothesis.states:\n            if state.prefix is None:\n                state.prefix = hypothesis.get_shortest_path(hypothesis.initial_state, state)\n            if state.prefix not in self.freq_dict.keys():\n                self.freq_dict[state.prefix] = 0\n\n            states_to_cover.extend([state] * (self.walks_per_state - self.freq_dict[state.prefix]))\n\n        if self.depth_first:\n            # reverse sort the states by length of their access sequences\n            # first do the random walk on the state with longest access sequence\n            states_to_cover.sort(key=lambda x: len(x.prefix), reverse=True)\n        else:\n            random.shuffle(states_to_cover)\n\n        for state in states_to_cover:\n            self.freq_dict[state.prefix] = self.freq_dict[state.prefix] + 1\n\n            self.reset_hyp_and_sul(hypothesis)\n\n            if self.max_tests and self.num_queries == self.max_tests:\n                return None\n\n            prefix = state.prefix\n            for p in prefix:\n                hypothesis.step(p)\n                self.sul.step(p)\n                self.num_steps += 1\n\n            suffix = ()\n            for _ in range(self.steps_per_walk):\n                suffix += (random.choice(self.alphabet),)\n\n                out_sul = self.sul.step(suffix[-1])\n                out_hyp = hypothesis.step(suffix[-1])\n                self.num_steps += 1\n\n                if out_sul != out_hyp:\n                    self.sul.post()\n                    return prefix + suffix\n\n            # cleanup after the test case\n            self.sul.post()\n\n        return None\n"
  },
  {
    "path": "aalpy/oracles/TransitionFocusOracle.py",
    "content": "import random\n\nfrom aalpy.base.Oracle import Oracle\nfrom aalpy.base.SUL import SUL\n\n\nclass TransitionFocusOracle(Oracle):\n    \"\"\"\n    This equivalence oracle focuses either on the same state transitions or transitions that lead to the different\n    states. This equivalence oracle should be used on grammars like balanced parentheses. In such grammars,\n    all interesting behavior occurs on the transitions between states and potential bugs can be found only by\n    focusing on transitions.\n    \"\"\"\n    def __init__(self, alphabet, sul: SUL, num_random_walks=500, walk_len=20, same_state_prob=0.2):\n        \"\"\"\n        Args:\n            alphabet: input alphabet\n            sul: system under learning\n            num_random_walks: number of walks\n            walk_len: length of each walk\n            same_state_prob: probability that the next input will lead to same state transition\n        \"\"\"\n\n        super().__init__(alphabet, sul)\n        self.num_walks = num_random_walks\n        self.steps_per_walk = walk_len\n        self.same_state_prob = same_state_prob\n\n    def find_cex(self, hypothesis):\n\n        for _ in range(self.num_walks):\n            self.reset_hyp_and_sul(hypothesis)\n\n            curr_state = hypothesis.current_state\n            inputs = []\n            for _ in range(self.steps_per_walk):\n                if random.random() <= self.same_state_prob:\n                    possible_inputs = curr_state.get_same_state_transitions()\n                else:\n                    possible_inputs = curr_state.get_diff_state_transitions()\n\n                act = random.choice(possible_inputs) if possible_inputs else random.choice(self.alphabet)\n                inputs.append(act)\n\n                out_sul = self.sul.step(inputs[-1])\n                out_hyp = hypothesis.step(inputs[-1])\n                self.num_steps += 1\n\n                curr_state = hypothesis.current_state\n\n                if out_sul != out_hyp:\n                    self.sul.post()\n                    return inputs\n\n            # cleanup after the test case\n            self.sul.post()\n\n        return None\n"
  },
  {
    "path": "aalpy/oracles/UserInputEqOracle.py",
    "content": "from aalpy.base import Oracle, SUL\nfrom aalpy.utils.FileHandler import visualize_automaton\n\n\nclass UserInputEqOracle(Oracle):\n    \"\"\"\n    Interactive equivalence oracle. For every counterexample, the current hypothesis will be visualized and the user can\n    enter the counterexample step by step.\n    The user provides elements of the input alphabet or commands.\n    When the element of the input alphabet is entered, the step will be performed in the current hypothesis and output\n    will be printed.\n\n    Commands offered to the users are:\n\n        print alphabet - prints the input alphabet\n\n        current inputs - inputs entered so far\n\n        cex - returns inputs entered so far as the counterexample\n\n        end - no counterexample exists\n\n        reset - resets the current state of the hypothesis and clears inputs\n    \"\"\"\n    def __init__(self, alphabet: list, sul: SUL):\n        super().__init__(alphabet, sul)\n        self.curr_hypothesis = 0\n\n    def find_cex(self, hypothesis):\n\n        self.reset_hyp_and_sul(hypothesis)\n\n        self.curr_hypothesis += 1\n        inputs = []\n        visualize_automaton(hypothesis, path=f'Hypothesis_{self.curr_hypothesis}')\n        while True:\n            inp = input('Please provide an input: ')\n            if inp == 'help':\n                print('Use one of following commands [print alphabet, current inputs, cex, end, reset] '\n                      'or provide an input')\n                continue\n            if inp == 'print alphabet':\n                print(self.alphabet)\n                continue\n            if inp == 'current inputs':\n                print(inputs)\n                continue\n            if inp == 'cex':\n                if inputs:\n                    self.sul.post()\n                    return inputs\n            if inp == 'end':\n                self.sul.post()\n                return None\n            if inp == 'reset':\n                inputs.clear()\n                self.sul.post()\n                self.reset_hyp_and_sul(hypothesis)\n                print('You are back in the initial state. Please provide an input: ')\n                continue\n            if inp not in self.alphabet:\n                print(\"Provided input is not in the input alphabet.\")\n                continue\n            inputs.append(inp)\n            self.num_steps += 1\n            out_hyp = hypothesis.step(inp)\n            out_sul = self.sul.step(inp)\n            print('Hypothesis Output :', out_hyp)\n            print('SUL Output        :', out_sul)\n            if out_hyp != out_sul:\n                print('Counterexample found.\\nIf you want to return it, type \\'cex\\'.')\n"
  },
  {
    "path": "aalpy/oracles/WMethodEqOracle.py",
    "content": "from random import shuffle, choice, randint\n\nfrom aalpy.base.Oracle import Oracle\nfrom aalpy.base.SUL import SUL\nfrom itertools import product\n\n\nclass WMethodEqOracle(Oracle):\n    \"\"\"\n    Equivalence oracle based on characterization set/ W-set. From 'Tsun S. Chow.   Testing software design modeled by\n    finite-state machines'.\n    \"\"\"\n\n    def __init__(self, alphabet: list, sul: SUL, max_number_of_states):\n        \"\"\"\n        Args:\n\n            alphabet: input alphabet\n            sul: system under learning\n            max_number_of_states: maximum number of states in the automaton\n        \"\"\"\n\n        super().__init__(alphabet, sul)\n        self.m = max_number_of_states\n        self.cache = set()\n\n    def test_suite(self, cover, depth, char_set):\n        \"\"\"\n        Construct the test suite for the W Method using\n        the provided state cover and characterization set,\n        exploring up to a given depth.\n        Args:\n\n            cover: list of states to cover\n            depth: maximum length of middle part\n            char_set: characterization set\n        \"\"\"\n        # fix the length of the middle part per loop\n        # to avoid generating large sequences early on\n        char_set = char_set or [()]\n        for d in range(depth):\n            middle = product(self.alphabet, repeat=d)\n            for m in middle:\n                for (s, c) in product(cover, char_set):\n                    yield s + m + c\n\n    def find_cex(self, hypothesis):\n\n        if not hypothesis.characterization_set:\n            hypothesis.characterization_set = hypothesis.compute_characterization_set()\n\n        # covers every transition of the specification at least once.\n        transition_cover = [\n            state.prefix + (letter,)\n            for state in hypothesis.states\n            for letter in self.alphabet\n        ]\n\n        depth = self.m + 1 - len(hypothesis.states)\n        for seq in self.test_suite(transition_cover, depth, hypothesis.characterization_set):\n            if seq not in self.cache:\n                self.reset_hyp_and_sul(hypothesis)\n                outputs = []\n\n                for ind, letter in enumerate(seq):\n                    out_hyp = hypothesis.step(letter)\n                    out_sul = self.sul.step(letter)\n                    self.num_steps += 1\n\n                    outputs.append(out_sul)\n                    if out_hyp != out_sul:\n                        self.sul.post()\n                        return seq[:ind + 1]\n\n                self.cache.add(seq)\n                self.sul.post()\n\n        return None\n\n\nclass RandomWMethodEqOracle(Oracle):\n    \"\"\"\n    Randomized version of the W-Method equivalence oracle.\n    Random walks stem from fixed prefix (path to the state). At the end of the random\n    walk an element from the characterization set is added to the test case.\n    \"\"\"\n\n    def __init__(self, alphabet: list, sul: SUL, walks_per_state=25, walk_len=12):\n        \"\"\"\n        Args:\n\n            alphabet: input alphabet\n\n            sul: system under learning\n\n            walks_per_state: number of random walks that should start from each state\n\n            walk_len: length of random walk\n        \"\"\"\n\n        super().__init__(alphabet, sul)\n        self.walks_per_state = walks_per_state\n        self.random_walk_len = walk_len\n        self.freq_dict = dict()\n\n    def find_cex(self, hypothesis):\n\n        if not hypothesis.characterization_set:\n            hypothesis.characterization_set = hypothesis.compute_characterization_set()\n            # fix for non-minimal intermediate hypothesis that can occur in KV\n            if not hypothesis.characterization_set:\n                hypothesis.characterization_set = [(a,) for a in hypothesis.get_input_alphabet()]\n\n        states_to_cover = []\n        for state in hypothesis.states:\n            if state.prefix is None:\n                state.prefix = hypothesis.get_shortest_path(hypothesis.initial_state, state)\n            if state.prefix not in self.freq_dict.keys():\n                self.freq_dict[state.prefix] = 0\n\n            states_to_cover.extend([state] * (self.walks_per_state - self.freq_dict[state.prefix]))\n\n        shuffle(states_to_cover)\n\n        for state in states_to_cover:\n            self.freq_dict[state.prefix] = self.freq_dict[state.prefix] + 1\n\n            self.reset_hyp_and_sul(hypothesis)\n\n            prefix = state.prefix\n            random_walk = tuple(choice(self.alphabet) for _ in range(randint(1, self.random_walk_len)))\n\n            test_case = prefix + random_walk + choice(hypothesis.characterization_set)\n\n            for ind, i in enumerate(test_case):\n                output_hyp = hypothesis.step(i)\n                output_sul = self.sul.step(i)\n                self.num_steps += 1\n\n                if output_sul != output_hyp:\n                    self.sul.post()\n                    return test_case[:ind + 1]\n\n            self.sul.post()\n\n        return None\n"
  },
  {
    "path": "aalpy/oracles/WpMethodEqOracle.py",
    "content": "import random\nfrom aalpy.base.Oracle import Oracle\nfrom aalpy.base.SUL import SUL\nfrom itertools import chain, product\n\n\ndef state_characterization_set(hypothesis, alphabet, state):\n    \"\"\"\n    Return a list of sequences that distinguish the given state from all other states in the hypothesis.\n    Args:\n        hypothesis: hypothesis automaton\n        alphabet: input alphabet\n        state: state for which to find distinguishing sequences\n    \"\"\"\n    result = []\n    for i in range(len(hypothesis.states)):\n        if hypothesis.states[i] == state:\n            continue\n        seq = hypothesis.find_distinguishing_seq(state, hypothesis.states[i], alphabet)\n        if seq:\n            result.append(tuple(seq))\n    return result\n\n\ndef first_phase_it(alphabet, state_cover, depth, char_set):\n    \"\"\"\n    Return an iterator that generates all possible sequences for the first phase of the Wp-method.\n    Args:\n        alphabet: input alphabet\n        state_cover: list of states to cover\n        depth: maximum length of middle part\n        char_set: characterization set\n    \"\"\"\n    char_set = char_set or [()]\n    for d in range(depth):\n        middle = product(alphabet, repeat=d)\n        for m in middle:\n            for s in state_cover:\n                for c in char_set:\n                    yield s + m + c\n\n\ndef second_phase_it(hyp, alphabet, difference, depth):\n    \"\"\"\n    Return an iterator that generates all possible sequences for the second phase of the Wp-method.\n    Args:\n        hyp: hypothesis automaton\n        alphabet: input alphabet\n        difference: set of sequences that are in the transition cover but not in the state cover\n        depth: maximum length of middle part\n    \"\"\"\n    state_mapping = {}\n    for d in range(depth):\n        middle = product(alphabet, repeat=d)\n        for mid in middle:\n            for t in difference:\n                _ = hyp.execute_sequence(hyp.initial_state, t + mid)\n                state = hyp.current_state\n                if state not in state_mapping:\n                    state_mapping[state] = state_characterization_set(hyp, alphabet, state)\n\n                for sm in state_mapping[state]:\n                    yield t + mid + sm\n\n\nclass WpMethodEqOracle(Oracle):\n    \"\"\"\n    Implements the Wp-method equivalence oracle.\n    \"\"\"\n\n    def __init__(self, alphabet: list, sul: SUL, max_number_of_states=4):\n        super().__init__(alphabet, sul)\n        self.m = max_number_of_states\n        self.cache = set()\n\n    def find_cex(self, hypothesis):\n        if not hypothesis.characterization_set:\n            hypothesis.characterization_set = hypothesis.compute_characterization_set()\n\n        transition_cover = set(\n            state.prefix + (letter,)\n            for state in hypothesis.states\n            for letter in self.alphabet\n        )\n\n        state_cover = set(state.prefix for state in hypothesis.states)\n        difference = transition_cover.difference(state_cover)\n        depth = self.m + 1 - len(hypothesis.states)\n        # first phase State Cover * Middle * Characterization Set\n        first_phase = first_phase_it(self.alphabet, state_cover, depth, hypothesis.characterization_set)\n\n        # second phase (Transition Cover - State Cover) * Middle * Characterization Set\n        # of the state that the prefix leads to\n        second_phase = second_phase_it(hypothesis, self.alphabet, difference, depth)\n        test_suite = chain(first_phase, second_phase)\n\n        for seq in test_suite:\n            if seq not in self.cache:\n                self.reset_hyp_and_sul(hypothesis)\n\n                for ind, letter in enumerate(seq):\n                    out_hyp = hypothesis.step(letter)\n                    out_sul = self.sul.step(letter)\n                    self.num_steps += 1\n\n                    if out_hyp != out_sul:\n                        self.sul.post()\n                        return seq[: ind + 1]\n\n                self.cache.add(seq)\n                self.sul.post()\n\n        return None\n\n\nclass RandomWpMethodEqOracle(Oracle):\n    \"\"\"\n    Implements the Random Wp-Method as described in \"Complementing Model\n    Learning with Mutation-Based Fuzzing\" by Rick Smetsers, Joshua Moerman,\n    Mark Janssen, Sicco Verwer.\n        1) sample uniformly from the states for a prefix\n        2) sample geometrically a random word\n        3) sample a word from the set of suffixes / state identifiers\n    \"\"\"\n\n    def __init__(\n        self, alphabet: list, sul: SUL, min_length=1, expected_length=10, num_tests=1000,):\n        super().__init__(alphabet, sul)\n        self.min_length = min_length\n        self.expected_length = expected_length\n        self.bound = num_tests\n\n    def find_cex(self, hypothesis):\n        # fix for non-minimal intermediate hypothesis that can occur in KV\n        hypothesis.characterization_set = hypothesis.compute_characterization_set()\n        if not hypothesis.characterization_set:\n            hypothesis.characterization_set = [(a,) for a in hypothesis.get_input_alphabet()]\n\n        state_mapping = {s : state_characterization_set(hypothesis, self.alphabet, s) for s in hypothesis.states}\n\n        for _ in range(self.bound):\n            state = random.choice(hypothesis.states)\n            input = state.prefix\n            limit = self.min_length\n            while limit > 0 or random.random() > 1 / (self.expected_length + 1):\n                letter = random.choice(self.alphabet)\n                input += (letter,)\n                limit -= 1\n            if random.random() > 0.5:\n                # global suffix with characterization_set\n                input += random.choice(hypothesis.characterization_set)\n            else:\n                # local suffix\n                _ = hypothesis.execute_sequence(hypothesis.initial_state, input)\n                if state_mapping[hypothesis.current_state]:\n                    input += random.choice(state_mapping[hypothesis.current_state])\n                else:\n                    continue\n\n            self.reset_hyp_and_sul(hypothesis)\n            for ind, letter in enumerate(input):\n                out_hyp = hypothesis.step(letter)\n                out_sul = self.sul.step(letter)\n                self.num_steps += 1\n\n                if out_hyp != out_sul:\n                    self.sul.post()\n                    return input[: ind + 1]\n\n            self.sul.post()\n\n        return None\n"
  },
  {
    "path": "aalpy/oracles/__init__.py",
    "content": "from .BreadthFirstExplorationEqOracle import BreadthFirstExplorationEqOracle\nfrom .CacheBasedEqOracle import CacheBasedEqOracle\nfrom .KWayStateCoverageEqOracle import KWayStateCoverageEqOracle\nfrom .KWayTransitionCoverageEqOracle import KWayTransitionCoverageEqOracle\nfrom .RandomWalkEqOracle import RandomWalkEqOracle\nfrom .RandomWordEqOracle import RandomWordEqOracle\nfrom .StatePrefixEqOracle import StatePrefixEqOracle\nfrom .TransitionFocusOracle import TransitionFocusOracle\nfrom .UserInputEqOracle import UserInputEqOracle\nfrom .WMethodEqOracle import RandomWMethodEqOracle, WMethodEqOracle\nfrom .WpMethodEqOracle import RandomWpMethodEqOracle, WpMethodEqOracle\nfrom .PacOracle import PacOracle\nfrom .ProvidedSequencesOracleWrapper import ProvidedSequencesOracleWrapper\nfrom .PerfectKnowledgeEqOracle import PerfectKnowledgeEqOracle\n"
  },
  {
    "path": "aalpy/paths.py",
    "content": "\"\"\"\nFile in which necessary paths for model checking are defined.\n\npath_to_prism is the absolute or relative path to the prism executable. Note that it has to include the executable file,\nnot just the folder. Eg. /usr/edi/prism/prism.bat and NOT /usr/edi/prism/\n\nIf you learn one of the provided examples path to properties should be relative or\nabsolute path to 'Benchmarking\\prism_eval_props'.\n\"\"\"\n\npath_to_prism = None\npath_to_properties = None\n"
  },
  {
    "path": "aalpy/utils/AutomatonGenerators.py",
    "content": "import random\nimport warnings\n\nfrom aalpy.automata import Dfa, DfaState, MdpState, Mdp, MealyMachine, MealyState, \\\n    MooreMachine, MooreState, OnfsmState, Onfsm, MarkovChain, McState, StochasticMealyState, StochasticMealyMachine, \\\n    Sevpa, SevpaState, SevpaAlphabet, SevpaTransition\n\n\ndef generate_random_deterministic_automata(automaton_type,\n                                           num_states,\n                                           input_alphabet_size,\n                                           output_alphabet_size=None,\n                                           ensure_minimality=True,\n                                           **kwargs\n                                           ):\n    \"\"\"\n    Generates a random deterministic automata of 'automaton_type'.\n\n    Args:\n        automaton_type: type of automaton, either 'dfa', 'mealy', or 'moore'\n        num_states: number of states\n        input_alphabet_size: size of input alphabet\n        output_alphabet_size: size of output alphabet. (ignored for DFAs)\n        ensure_minimality: ensure that the automaton is minimal\n        **kwargs:\n            : 'num_accepting_states' number of accepting states for DFA generation. If not defined, half of states will\n            be accepting\n\n    Returns:\n\n        Random deterministic automaton of user defined type, size. If ensure_minimality is set to False returned\n        automaton is not necessarily minimal. If minimality is reacquired and random automaton cannot be produced in\n        multiple interactions, non-minimal automaton will be returned and a warning message printed.\n    \"\"\"\n\n    assert automaton_type in {'dfa', 'mealy', 'moore'}\n    if output_alphabet_size and output_alphabet_size < 2 or output_alphabet_size is None:\n        output_alphabet_size = 2\n\n    state_class_map = {'dfa': DfaState, 'mealy': MealyState, 'moore': MooreState}\n    automaton_class_map = {'dfa': Dfa, 'mealy': MealyMachine, 'moore': MooreMachine}\n\n    input_alphabet = [f'i{i + 1}' for i in range(input_alphabet_size)]\n    output_alphabet = [f'o{i + 1}' for i in range(output_alphabet_size)] if automaton_type != 'dfa' else [True, False]\n\n    # For backwards comparability or if uses passes custom input output functions\n    if 'custom_input_alphabet' in kwargs:\n        input_alphabet = kwargs.get('custom_input_alphabet')\n        if len(input_alphabet) != input_alphabet_size:\n            assert False, 'Lenght of input_alphabet_size and custom input alphabet should be equal.'\n    if 'custom_output_alphabet' in kwargs:\n        output_alphabet = kwargs.get('custom_output_alphabet')\n        if len(output_alphabet) != output_alphabet_size:\n            assert False, 'Lenght of output_alphabet_size and custom output alphabet should be equal.'\n\n    num_accepting_states = None\n    if 'num_accepting_states' in kwargs:\n        num_accepting_states = kwargs.get('num_accepting_states')\n    if num_accepting_states is None:\n        num_accepting_states = num_states // 2\n\n    num_random_outputs = num_states if automaton_type != 'mealy' else num_states * input_alphabet_size\n\n    output_list = []\n    output_al_copy = output_alphabet.copy()\n\n    if automaton_type != 'dfa':\n        for _ in range(num_random_outputs):\n            if output_al_copy:\n                o = random.choice(output_al_copy)\n                output_al_copy.remove(o)\n            else:\n                o = random.choice(output_alphabet)\n            output_list.append(o)\n    else:\n        output_list = [True] * num_accepting_states + [False] * (num_states - num_accepting_states)\n        random.shuffle(output_list)\n\n    states = [state_class_map[automaton_type](state_id=f's{i + 1}') for i in range(num_states)]\n\n    # define an output function\n    for state_index, state in enumerate(states):\n        if automaton_type == 'dfa':\n            state.is_accepting = output_list[state_index]\n        if automaton_type == 'moore':\n            state.output = output_list[state_index]\n        if automaton_type == 'mealy':\n            for i in input_alphabet:\n                state.output_fun[i] = output_list.pop(0)\n\n    state_buffer = []\n\n    state_buffer.extend(states)\n    while len(state_buffer) < num_states * input_alphabet_size:\n        state_buffer.append(random.choice(states))\n\n    random_automaton = None\n\n    # keep changing transitions until all states are reachable (update in future )\n    all_states_reachable = False\n    while not all_states_reachable:\n        random.shuffle(state_buffer)\n\n        transition_index = 0\n        for state in states:\n            for i in input_alphabet:\n                state.transitions[i] = state_buffer[transition_index]\n                transition_index += 1\n\n        random_automaton = automaton_class_map[automaton_type](states[0], states)\n\n        unreachable_state_exits = False\n        for state in random_automaton.states:\n            state.prefix = random_automaton.get_shortest_path(random_automaton.initial_state, state)\n            if state != random_automaton.initial_state and state.prefix is None:\n                unreachable_state_exits = True\n                break\n        all_states_reachable = not unreachable_state_exits\n\n    if ensure_minimality:\n        minimality_iterations = 1\n        while not random_automaton.is_minimal() or random_automaton.size != num_states:\n            # to avoid infinite loops\n            if minimality_iterations == 100:\n                warnings.warn(f'Non-minimal automaton ({automaton_type}, num_states : {num_states}) returned.')\n                break\n\n            custom_args = {}\n            if 'custom_input_alphabet' in kwargs:\n                custom_args['custom_input_alphabet'] = kwargs.get('custom_input_alphabet')\n            if 'custom_output_alphabet' in kwargs:\n                custom_args['custom_output_alphabet'] = kwargs.get('custom_output_alphabet')\n            if 'num_accepting_states' in kwargs:\n                custom_args['num_accepting_states'] = kwargs.get('num_accepting_states')\n\n            random_automaton = generate_random_deterministic_automata(automaton_type,\n                                                                      num_states,\n                                                                      input_alphabet_size,\n                                                                      output_alphabet_size,\n                                                                      False,  # ensure minimality\n                                                                      **custom_args)\n\n    return random_automaton\n\n\ndef generate_random_mealy_machine(num_states, input_alphabet, output_alphabet,\n                                  compute_prefixes=False, ensure_minimality=True) -> MealyMachine:\n    \"\"\"\n    Generates a random Mealy machine. Kept for backwards compatibility.\n\n    Args:\n\n        num_states: number of states\n        input_alphabet: input alphabet\n        output_alphabet: output alphabet\n        compute_prefixes: if true, shortest path to reach each state will be computed (Default value = False)\n        ensure_minimality: returned automaton will be minimal\n\n    Returns:\n\n        Mealy machine with num_states states\n    \"\"\"\n\n    random_mealy_machine = generate_random_deterministic_automata('mealy', num_states,\n                                                                  input_alphabet_size=len(input_alphabet),\n                                                                  output_alphabet_size=len(output_alphabet),\n                                                                  ensure_minimality=ensure_minimality,\n                                                                  compute_prefixes=compute_prefixes,\n                                                                  custom_input_alphabet=input_alphabet,\n                                                                  custom_output_alphabet=output_alphabet)\n\n    return random_mealy_machine\n\n\ndef generate_random_moore_machine(num_states, input_alphabet, output_alphabet,\n                                  compute_prefixes=False, ensure_minimality=True) -> MooreMachine:\n    \"\"\"\n    Generates a random Moore machine.\n\n    Args:\n\n        num_states: number of states\n        input_alphabet: input alphabet\n        output_alphabet: output alphabet\n        compute_prefixes: if true, shortest path to reach each state will be computed (Default value = False)\n        ensure_minimality: returned automaton will be minimal\n\n    Returns:\n\n        Random Moore machine with num_states states\n\n    \"\"\"\n    random_moore_machine = generate_random_deterministic_automata('moore', num_states,\n                                                                  input_alphabet_size=len(input_alphabet),\n                                                                  output_alphabet_size=len(output_alphabet),\n                                                                  ensure_minimality=ensure_minimality,\n                                                                  compute_prefixes=compute_prefixes,\n                                                                  custom_input_alphabet=input_alphabet,\n                                                                  custom_output_alphabet=output_alphabet)\n\n    return random_moore_machine\n\n\ndef generate_random_dfa(num_states, alphabet, num_accepting_states=1,\n                        compute_prefixes=False, ensure_minimality=True) -> Dfa:\n    \"\"\"\n    Generates a random DFA.\n\n    Args:\n\n        num_states: number of states\n        alphabet: input alphabet\n        num_accepting_states: number of accepting states (Default value = 1)\n        compute_prefixes: if true, shortest path to reach each state will be computed (Default value = False)\n        ensure_minimality: returned automaton will be minimal\n\n    Returns:\n\n        Randomly generated DFA\n\n    \"\"\"\n    if num_states <= num_accepting_states:\n        num_accepting_states = num_states // 2\n\n    random_dfa = generate_random_deterministic_automata('dfa', num_states,\n                                                        input_alphabet_size=len(alphabet),\n                                                        output_alphabet_size=2,\n                                                        ensure_minimality=ensure_minimality,\n                                                        compute_prefixes=compute_prefixes,\n                                                        custom_input_alphabet=alphabet,\n                                                        num_accepting_states=num_accepting_states)\n\n    return random_dfa\n\n\ndef generate_random_mdp(num_states, input_size, output_size, possible_probabilities=None):\n    \"\"\"\n    Generates random MDP.\n\n    Args:\n\n        num_states: number of states\n        input_size: number of inputs\n        output_size: user predefined outputs\n        possible_probabilities: list of possible probability pairs to choose from\n\n    Returns:\n\n        random MDP\n\n    \"\"\"\n\n    deterministic_model = generate_random_deterministic_automata('moore', num_states, input_size, output_size)\n\n    if not possible_probabilities:\n        possible_probabilities = [(1.,), (1.,), (1.,), (0.9, 0.1),\n                                  (0.8, 0.2), (0.7, 0.3), (0.8, 0.1, 0.1), (0.7, 0.2, 0.1), (0.6, 0.2, 0.1, 0.1)]\n        # ensure that there are no infinite loops\n        max_prob_num = min(num_states, output_size)\n        possible_probabilities = [p for p in possible_probabilities if len(p) <= max_prob_num]\n\n    mdp_states = []\n    state_id_state_map = {}\n    for state in deterministic_model.states:\n        mdp_state = MdpState(state.state_id, state.output)\n        state_id_state_map[state.state_id] = mdp_state\n        mdp_states.append(mdp_state)\n\n    input_al = deterministic_model.get_input_alphabet()\n    for deterministic_state in deterministic_model.states:\n        for i in input_al:\n            state_from_det_model = state_id_state_map[deterministic_state.transitions[i].state_id]\n            prob = random.choice(possible_probabilities)\n\n            reached_states = [state_from_det_model]\n            for _ in range(len(prob) - 1):\n                while True:\n                    new_state = random.choice(mdp_states)\n\n                    # ensure determinism\n                    if new_state.output not in {s.output for s in reached_states}:\n                        break\n\n                reached_states.append(new_state)\n\n            for prob, reached_state in zip(prob, reached_states):\n                mdp_origin_state = state_id_state_map[deterministic_state.state_id]\n                mdp_origin_state.transitions[i].append((reached_state, prob))\n\n    # deterministically labeled check\n    for state in mdp_states:\n        for _, transition_values in state.transitions.items():\n            reached_outputs = [s.output for s, _ in transition_values]\n            assert len(reached_outputs) == len(set(reached_outputs))\n\n    return Mdp(mdp_states[0], mdp_states)\n\n\ndef generate_random_smm(num_states, input_size, output_size, possible_probabilities=None):\n    \"\"\"\n    Generates random SMM.\n\n    Args:\n\n        num_states: number of states\n        input_size: number of inputs\n        output_size: number of outputs\n        possible_probabilities: list of possible probability pairs to choose from\n\n    Returns:\n\n        random SMM\n\n    \"\"\"\n\n    deterministic_model = generate_random_deterministic_automata('mealy', num_states, input_size, output_size)\n    input_al = deterministic_model.get_input_alphabet()\n    output_al = list(set([o for state in deterministic_model.states for o in state.output_fun.values()]))\n    output_al.sort()\n\n    if not possible_probabilities:\n        possible_probabilities = [(1.,), (1.,), (1.,), (0.9, 0.1),\n                                  (0.8, 0.2), (0.7, 0.3), (0.8, 0.1, 0.1), (0.7, 0.2, 0.1), (0.6, 0.2, 0.1, 0.1)]\n        # ensure that there are no infinite loops\n        max_prob_num = min(num_states, output_size)\n        possible_probabilities = [p for p in possible_probabilities if len(p) <= max_prob_num]\n\n    smm_states = []\n    state_id_state_map = {}\n    for state in deterministic_model.states:\n        smm_state = StochasticMealyState(state.state_id)\n        state_id_state_map[state.state_id] = smm_state\n        smm_states.append(smm_state)\n\n    for deterministic_state in deterministic_model.states:\n        for i in input_al:\n            state_from_det_model = state_id_state_map[deterministic_state.transitions[i].state_id]\n            output_from_det_model = deterministic_state.output_fun[i]\n\n            prob = random.choice(possible_probabilities)\n\n            state_id_state_map[deterministic_state.state_id].transitions[i].append(\n                (state_from_det_model, output_from_det_model, prob[0]))\n\n            observed_outputs = [output_from_det_model]\n            for prob_index in range(1, len(prob)):\n                while True:\n                    new_state = random.choice(smm_states)\n                    new_output = random.choice(output_al)\n\n                    # ensure determinism\n                    if new_output not in observed_outputs:\n                        state_id_state_map[deterministic_state.state_id].transitions[i].append(\n                            (new_state, new_output, prob[prob_index]))\n                        break\n\n    return StochasticMealyMachine(smm_states[0], smm_states)\n\n\ndef generate_random_ONFSM(num_states, num_inputs, num_outputs, multiple_out_prob=0.33):\n    \"\"\"\n    Randomly generate an observable non-deterministic finite-state machine.\n\n    Args:\n\n      num_states: number of states\n      num_inputs: number of inputs\n      num_outputs: number of outputs\n      multiple_out_prob: probability that state will have multiple outputs (Default value = 0.5)\n\n    Returns:\n\n        randomly generated ONFSM\n\n    \"\"\"\n    inputs = [f'i{i + 1}' for i in range(num_inputs)]\n    outputs = [f'o{i + 1}' for i in range(num_outputs)]\n\n    states = []\n    for i in range(num_states):\n        state = OnfsmState(f's{i}')\n        states.append(state)\n\n    state_buffer = states.copy()\n\n    for state in states:\n        for i in inputs:\n            state_outputs = 1\n            if random.random() <= multiple_out_prob and num_outputs >= 2:\n                state_outputs = random.randint(2, num_outputs)\n\n            random_out = random.sample(outputs, state_outputs)\n            for index in range(state_outputs):\n                if state_buffer:\n                    new_state = random.choice(state_buffer)\n                    state_buffer.remove(new_state)\n                else:\n                    new_state = random.choice(states)\n                state.transitions[i].append((random_out[index], new_state))\n\n    return Onfsm(states[0], states)\n\n\ndef generate_random_markov_chain(num_states):\n    assert num_states >= 3\n    possible_probabilities = [1.0, 1.0, 0.8, 0.5, 0.9]\n    states = []\n\n    for i in range(num_states):\n        states.append(McState(f'q{i}', i))\n\n    for index, state in enumerate(states[:-1]):\n        prob = random.choice(possible_probabilities)\n        if prob == 1.:\n            new_state = states[index + 1]\n            state.transitions.append((new_state, prob))\n        else:\n            next_state = states[index + 1]\n            up_states = list(states)\n            up_states.remove(next_state)\n            rand_state = random.choice(up_states)\n\n            state.transitions.append((next_state, prob))\n            state.transitions.append((rand_state, round(1 - prob, 2)))\n\n    return MarkovChain(states[0], states)\n\n\ndef _has_transition(state: SevpaState, transition_letter, stack_guard) -> bool:\n    transitions = state.transitions[transition_letter]\n    if transitions is not None:\n        if stack_guard is None:  # internal transition\n            for transition in transitions:\n                if transition.letter == transition_letter:\n                    return True\n        else:  # return transition\n            for transition in transitions:\n                if transition.stack_guard == stack_guard and transition.letter == transition_letter:\n                    return True\n\n    return False\n\n\ndef generate_random_sevpa(num_states, internal_alphabet_size, call_alphabet_size, return_alphabet_size\n                          , acceptance_prob, return_transition_prob):\n    \"\"\"\n    Generate a random Single Entry Visibly Pushdown Automaton (SEVPA).\n\n    Args:\n        num_states (int): The number of states in the SEVPA.\n        internal_alphabet_size (int): The size of the internal alphabet.\n        call_alphabet_size (int): The size of the call alphabet.\n        return_alphabet_size (int): The size of the return alphabet.\n        acceptance_prob (float): The probability of a state being an accepting state.\n        return_transition_prob (float): The probability of generating a return transition.\n\n    Returns:\n        Sevpa: A randomly generated SEVPA.\n    \"\"\"\n\n    internal_alphabet = [f'i{i}' for i in range(internal_alphabet_size)]\n    call_alphabet = [f'c{i}' for i in range(call_alphabet_size)]\n    return_alphabet = [f'r{i}' for i in range(return_alphabet_size)]\n\n    sevpa_alphabet = SevpaAlphabet(internal_alphabet, call_alphabet, return_alphabet)\n\n    states = [SevpaState(f'q{i}', random.random() < acceptance_prob) for i in range(num_states)]\n    state_buffer = states.copy()\n\n    for state in states:\n        if not internal_alphabet or random.uniform(0.0, 1.0) < return_transition_prob:\n            # add return transition\n            while True:\n                return_letter = random.choice(return_alphabet)\n                stack_state = random.choice(states) if not state_buffer else random.choice(state_buffer)\n                if stack_state in state_buffer:\n                    state_buffer.remove(stack_state)\n\n                call_letter = random.choice(call_alphabet)\n                stack_guard = (stack_state.state_id, call_letter)\n\n                if not _has_transition(state, return_letter, stack_guard):\n                    break\n\n            target_state = random.choice(states)\n            state.transitions[return_letter].append(\n                SevpaTransition(target_state, return_letter, 'pop', stack_guard))\n        else:\n            # add an internal transition\n            while True:\n                internal_letter = random.choice(internal_alphabet)\n                if not _has_transition(state, internal_letter, None):\n                    break\n\n            target_state = random.choice(states) if not state_buffer else random.choice(state_buffer)\n            if target_state in state_buffer:\n                state_buffer.remove(target_state)\n            state.transitions[internal_letter].append(\n                SevpaTransition(target_state, internal_letter, None, None))\n\n    assert len(states) == num_states\n    initial_state = random.choice(states)\n\n    for state in states:\n        for internal_letter in internal_alphabet:\n            if state.transitions[internal_letter] is None:\n                target_state = random.choice(states)\n                state.transitions[internal_letter].append(\n                    SevpaTransition(target_state, internal_letter, None, None))\n\n        for call_letter in call_alphabet:\n            for stack_state in states:\n                stack_guard = (stack_state.state_id, call_letter)\n                for return_letter in return_alphabet:\n                    if not _has_transition(state, return_letter, stack_guard):\n                        target_state = states[random.randint(0, len(states) - 1)]\n                        state.transitions[return_letter].append(\n                            SevpaTransition(target_state, return_letter, 'pop', stack_guard))\n\n    return Sevpa(initial_state, states)\n"
  },
  {
    "path": "aalpy/utils/BenchmarkSULs.py",
    "content": "def get_Angluin_dfa():\n    from aalpy.automata import Dfa\n\n    angluin_dfa = {\n        'q0': (True, {'a': 'q1', 'b': 'q2'}),\n        'q1': (False, {'a': 'q0', 'b': 'q3'}),\n        'q2': (False, {'a': 'q3', 'b': 'q0'}),\n        'q3': (False, {'a': 'q2', 'b': 'q1'})\n    }\n\n    return Dfa.from_state_setup(angluin_dfa)\n\n\ndef get_benchmark_ONFSM():\n    \"\"\"\n    Returns ONFSM presented in 'Learning Finite State Models of Observable Nondeterministic Systems in a Testing\n    Context'.\n    \"\"\"\n    from aalpy.automata import Onfsm, OnfsmState\n\n    a = OnfsmState('q0')\n    b = OnfsmState('q1')\n    c = OnfsmState('g2')\n    d = OnfsmState('q3')\n\n    a.transitions['a'].append((0, b))\n    a.transitions['b'].append((2, a))\n    a.transitions['b'].append((0, c))\n\n    b.transitions['a'].append((2, a))\n    b.transitions['b'].append((3, b))\n\n    c.transitions['a'].append((2, d))\n    c.transitions['b'].append((0, c))\n    c.transitions['b'].append((3, c))\n\n    d.transitions['a'].append((2, b))\n    d.transitions['b'].append((3, d))\n\n    return Onfsm(a, [a, b, c, d])\n\n\ndef get_ONFSM():\n    \"\"\"\n    Returns example of an ONFSM.\n    \"\"\"\n    from aalpy.automata import Onfsm, OnfsmState\n\n    q0 = OnfsmState('q0')\n    q1 = OnfsmState('q1')\n    q2 = OnfsmState('q2')\n    q3 = OnfsmState('q3')\n    q4 = OnfsmState('q4')\n    q5 = OnfsmState('q5')\n    q6 = OnfsmState('q6')\n    q7 = OnfsmState('q7')\n    q8 = OnfsmState('q8')\n\n    q0.transitions['a'].append((2, q1))\n    q0.transitions['b'].append((0, q0))\n\n    q1.transitions['a'].append((2, q0))\n    q1.transitions['b'].append((0, q2))\n\n    q2.transitions['a'].append((1, q2))\n    q2.transitions['b'].append((0, q3))\n\n    q3.transitions['a'].append((2, q8))\n    q3.transitions['b'].append((0, q4))\n\n    q4.transitions['a'].append((1, q4))\n    q4.transitions['b'].append((0, q5))\n\n    q5.transitions['a'].append((2, q6))\n    q5.transitions['b'].append((0, q7))\n\n    q6.transitions['a'].append((2, q5))\n    q6.transitions['b'].append((0, q6))\n\n    q7.transitions['a'].append((1, q7))\n    q7.transitions['b'].append(('O', q0))\n\n    q8.transitions['a'].append((2, q3))\n    q8.transitions['b'].append((0, q8))\n\n    return Onfsm(q0, [q0, q1, q2, q3, q4, q5, q6, q7, q8])\n\n\ndef get_faulty_coffee_machine_MDP():\n    from aalpy.automata import Mdp, MdpState\n\n    q0 = MdpState(\"q0\", \"init\")\n    q1 = MdpState(\"q1\", \"beep\")\n    q2 = MdpState(\"q2\", \"coffee\")\n\n    q0.transitions['but'].append((q0, 1))\n    q0.transitions['coin'].append((q1, 1))\n    q1.transitions['but'].append((q0, 0.1))\n    q1.transitions['but'].append((q2, 0.9))\n    q1.transitions['coin'].append((q1, 1))\n    q2.transitions['but'].append((q0, 1))\n    q2.transitions['coin'].append((q1, 1))\n\n    mdp = Mdp(q0, [q0, q1, q2])\n\n    return mdp\n\n\ndef get_weird_coffee_machine_MDP():\n    from aalpy.automata import Mdp, MdpState\n\n    q0 = MdpState(\"q0\", \"init\")\n    q1 = MdpState(\"q1\", \"beep\")\n    q2 = MdpState(\"q2\", \"coffee\")\n    q3 = MdpState(\"q3\", \"beep\")\n    q4 = MdpState(\"q4\", \"coffee\")\n    q5 = MdpState(\"q5\", \"init\")\n    q6 = MdpState(\"q6\", \"crash\")\n\n    q0.transitions['but'].append((q0, 1))\n    q0.transitions['coin'].append((q1, 1))\n    q0.transitions['koin'].append((q3, 1))\n\n    q1.transitions['but'].append((q0, 0.1))\n    q1.transitions['but'].append((q2, 0.9))\n\n    q3.transitions['but'].append((q0, 0.1))\n    q3.transitions['but'].append((q4, 0.9))\n\n    q1.transitions['coin'].append((q1, 1))\n    q3.transitions['koin'].append((q3, 1))\n    q1.transitions['koin'].append((q3, 1))\n    q3.transitions['coin'].append((q1, 1))\n\n    q2.transitions['but'].append((q0, 1))\n    q2.transitions['coin'].append((q1, 1))\n    q2.transitions['koin'].append((q3, 1))\n\n    q4.transitions['coin'].append((q1, 1))\n    q4.transitions['koin'].append((q3, 1))\n\n    q4.transitions['but'].append((q5, 1))\n\n    q5.transitions['but'].append((q6, 1))\n    q5.transitions['coin'].append((q6, 1))\n    q5.transitions['koin'].append((q6, 1))\n\n    q6.transitions['but'].append((q6, 1))\n    q6.transitions['coin'].append((q6, 1))\n    q6.transitions['koin'].append((q6, 1))\n\n    mdp = Mdp(q0, [q0, q1, q2, q3, q4, q5, q6])\n\n    return mdp\n\n\ndef get_faulty_coffee_machine_SMM():\n    from aalpy.automata import StochasticMealyMachine, StochasticMealyState\n\n    s0 = StochasticMealyState('q0')\n    s1 = StochasticMealyState('q1')\n    s2 = StochasticMealyState('q2')\n\n    s0.transitions['but'].append((s0, 'init', 1.))\n    s0.transitions['coin'].append((s1, 'beep', 1.))\n    s1.transitions['but'].append((s0, 'init', 0.1))\n    s1.transitions['but'].append((s2, 'coffee', 0.9))\n    s1.transitions['coin'].append((s1, 'beep', 1.))\n    s2.transitions['but'].append((s0, 'init', 1.))\n    s2.transitions['coin'].append((s1, 'beep', 1.))\n\n    smm = StochasticMealyMachine(s0, [s0, s1, s2])\n\n    return smm\n\n\ndef get_minimal_faulty_coffee_machine_SMM():\n    from aalpy.automata import StochasticMealyMachine, StochasticMealyState\n\n    s0 = StochasticMealyState('q0')\n    s1 = StochasticMealyState('q1')\n\n    s0.transitions['but'].append((s0, 'init', 1.))\n    s0.transitions['coin'].append((s1, 'beep', 1.))\n    s1.transitions['but'].append((s0, 'init', 0.1))\n    s1.transitions['but'].append((s0, 'coffee', 0.9))\n    s1.transitions['coin'].append((s1, 'beep', 1.))\n\n    smm = StochasticMealyMachine(s0, [s0, s1])\n\n    return smm\n\n\ndef get_faulty_mqtt_SMM():\n    from aalpy.automata import StochasticMealyMachine, StochasticMealyState\n\n    s0 = StochasticMealyState('q0')\n    s1 = StochasticMealyState('q1')\n    s2 = StochasticMealyState('q2')\n\n    s0.transitions['connect'].append((s1, 'CONNACK', 1.))\n    s0.transitions['disconnect'].append((s0, 'CONCLOSED', 1.))\n    s0.transitions['publish'].append((s0, 'CONCLOSED', 1.))\n    s0.transitions['subscribe'].append((s0, 'CONCLOSED', 1.))\n    s0.transitions['unsubscribe'].append((s0, 'CONCLOSED', 1.))\n\n    s1.transitions['connect'].append((s0, 'CONCLOSED', 1.))\n    s1.transitions['disconnect'].append((s0, 'CONCLOSED', 1.))\n    s1.transitions['publish'].append((s1, 'PUBACK', 0.9))\n    s1.transitions['publish'].append((s0, 'CONCLOSED', 0.1))\n    s1.transitions['subscribe'].append((s2, 'SUBACK', 1.))\n    s1.transitions['unsubscribe'].append((s1, 'UNSUBACK', 1.))\n\n    s2.transitions['connect'].append((s0, 'CONCLOSED', 1.))\n    s2.transitions['disconnect'].append((s0, 'CONCLOSED', 1.))\n    s2.transitions['publish'].append((s2, 'PUBLISH_PUBACK', 1.))\n    s2.transitions['subscribe'].append((s2, 'SUBACK', 1.))\n    s2.transitions['unsubscribe'].append((s1, 'UNSUBACK', 0.8))\n    s2.transitions['unsubscribe'].append((s2, 'SUBACK', 0.2))\n\n    smm = StochasticMealyMachine(s0, [s0, s1, s2])\n\n    return smm\n\n\ndef get_small_gridworld():\n    from aalpy.automata import StochasticMealyMachine, StochasticMealyState\n\n    s0 = StochasticMealyState('q0')\n    s1 = StochasticMealyState('q1')\n    s2 = StochasticMealyState('q2')\n    s3 = StochasticMealyState('q3')\n\n    p_g = 0.8\n    p_m = 0.6\n\n    # gridworld of the form\n    # W W W W with a start in the top left\n    # W G M W states like s0 s1\n    # W M G W             s2 s3\n    # W W W W\n\n    s0.transitions['north'].append((s0, 'wall', 1.))\n    s0.transitions['west'].append((s0, 'wall', 1.))\n    s0.transitions['east'].append((s1, 'mud', p_m))\n    s0.transitions['east'].append((s3, 'grass', 1 - p_m))\n    s0.transitions['south'].append((s2, 'mud', p_m))\n    s0.transitions['south'].append((s3, 'grass', 1 - p_m))\n\n    s1.transitions['north'].append((s1, 'wall', 1.))\n    s1.transitions['east'].append((s1, 'wall', 1.))\n    s1.transitions['west'].append((s0, 'grass', p_g))\n    s1.transitions['west'].append((s2, 'mud', 1 - p_g))\n    s1.transitions['south'].append((s3, 'grass', p_g))\n    s1.transitions['south'].append((s2, 'mud', 1 - p_g))\n\n    s2.transitions['south'].append((s2, 'wall', 1.))\n    s2.transitions['west'].append((s2, 'wall', 1.))\n    s2.transitions['east'].append((s3, 'grass', p_g))\n    s2.transitions['east'].append((s1, 'mud', 1 - p_g))\n    s2.transitions['north'].append((s0, 'grass', p_g))\n    s2.transitions['south'].append((s1, 'mud', 1 - p_g))\n\n    s3.transitions['south'].append((s3, 'wall', 1.))\n    s3.transitions['east'].append((s3, 'wall', 1.))\n    s3.transitions['west'].append((s2, 'mud', p_m))\n    s3.transitions['west'].append((s0, 'grass', 1 - p_m))\n    s3.transitions['north'].append((s1, 'mud', p_m))\n    s3.transitions['north'].append((s0, 'grass', 1 - p_m))\n\n    smm = StochasticMealyMachine(s0, [s0, s1, s2, s3])\n\n    return smm\n\n\nclass MockMqttExample:\n\n    def __init__(self):\n        self.state = 'CONCLOSED'\n        self.topics = set()\n\n    def subscribe(self, topic: str):\n        if '\\n' in topic or '\\u0000' in topic:\n            self.state = 'CONCLOSED'\n            self.topics.clear()\n        elif self.state != 'CONCLOSED':\n            self.topics.add(topic)\n            self.state = 'SUBACK'\n\n        return self.state\n\n    def unsubscribe(self, topic):\n        if '\\n' in topic or '\\u0000' in topic:\n            self.state = 'CONCLOSED'\n            self.topics.clear()\n        elif self.state != 'CONCLOSED':\n            if topic in self.topics:\n                self.topics.remove(topic)\n            self.state = 'UNSUBACK'\n\n        return self.state\n\n    def connect(self):\n        if self.state == 'CONCLOSED':\n            self.state = 'CONNACK'\n        else:\n            self.topics.clear()\n            self.state = 'CONCLOSED'\n        return self.state\n\n    def disconnect(self):\n        self.state = 'CONCLOSED'\n        self.topics.clear()\n        return self.state\n\n    def publish(self, topic):\n        if '\\n' in topic or '\\u0000' in topic:\n            self.state = 'CONCLOSED'\n            self.topics.clear()\n        if self.state != 'CONCLOSED':\n            if topic not in self.topics:\n                self.state = 'PUBACK'\n            else:\n                self.state = 'PUBACK_PUBACK'\n        return self.state\n\n\nclass DateValidator:\n    \"\"\"\n    Class mimicking Date Validator API.\n    It does not account for the leap years.\n    The format of the dates is %d/%m/%Y'\n    \"\"\"\n\n    def is_date_accepted(self, date_string: str):\n        values = date_string.split('/')\n        if len(values) != 3:\n            return False\n        try:\n            day = int(values[0])\n            month = int(values[1])\n            year = int(values[2])\n        except ValueError:\n            return False\n\n        if not (0 <= year <= 9999):\n            return False\n\n        if month == 2 and not (1 <= day <= 28):\n            return False\n\n        if month in [1, 3, 5, 7, 8, 10, 12] and not (1 <= day <= 31):\n            return False\n\n        elif not (1 <= day <= 31):\n            return False\n\n        return True\n\n\ndef get_small_pomdp():\n    from aalpy.automata import Mdp, MdpState\n\n    q0 = MdpState(\"q0\", \"init\")\n    q1 = MdpState(\"q1\", \"beep\")\n    q2 = MdpState(\"q2\", \"beep\")\n    q3 = MdpState(\"q3\", \"coffee\")\n    q4 = MdpState(\"q4\", \"tea\")\n\n    q0.transitions['but'].append((q0, 1))\n    q0.transitions['coin'].append((q1, 0.8))\n    q0.transitions['coin'].append((q2, 0.2))\n\n    q1.transitions['coin'].append((q1, 1))\n    q1.transitions['but'].append((q3, 1))\n\n    q2.transitions['coin'].append((q2, 0.3))\n    q2.transitions['coin'].append((q1, 0.7))\n    q2.transitions['but'].append((q4, 1))\n\n    q3.transitions['coin'].append((q3, 1))\n    q3.transitions['but'].append((q3, 1))\n\n    q4.transitions['coin'].append((q4, 1))\n    q4.transitions['but'].append((q4, 1))\n\n    return Mdp(q0, [q0, q1, q2, q3, q4])\n\n\ndef is_balanced(test_string, call_return_map, allow_empty_string):\n    stack = []\n    # Create a set of open and close characters for faster lookup\n    open_chars = set(call_return_map.keys())\n    close_chars = set(call_return_map.values())\n\n    for char in test_string:\n        if char in open_chars:\n            stack.append(char)\n        elif char in close_chars:\n            # Stack should exist\n            if not stack:\n                return False\n            last_open = stack.pop()\n            # Mismatched open and close character\n            if call_return_map[last_open] != char:\n                return False\n\n    return not stack if allow_empty_string else not stack and len(test_string) > 0\n\n\ndef get_balanced_string_sul(call_return_map, allow_empty_string):\n    from aalpy.base import SUL\n\n    class BalancedStringSUL(SUL):\n        def __init__(self, call_return_map, allow_empty_string):\n            super(BalancedStringSUL, self).__init__()\n            self.call_return_map = call_return_map\n            self.allow_empty_string = allow_empty_string\n            self.sting_under_test = []\n\n        def pre(self):\n            self.sting_under_test = []\n\n        def post(self):\n            pass\n\n        def step(self, letter):\n            if letter:\n                self.sting_under_test += letter\n            return is_balanced(self.sting_under_test, self.call_return_map, self.allow_empty_string)\n\n    return BalancedStringSUL(call_return_map, allow_empty_string)\n"
  },
  {
    "path": "aalpy/utils/BenchmarkSevpaModels.py",
    "content": "from aalpy.automata.Sevpa import Sevpa\nfrom aalpy.utils import load_automaton_from_file\n\n\ndef sevpa_for_L1():\n    state_setup = {\n        'q0': (False, {'b': [('q1', 'pop', ('q0', 'a'))]\n                       }),\n        'q1': (True, {'b': [('q1', 'pop', ('q0', 'a'))]\n                      })\n    }\n    return Sevpa.from_state_setup(state_setup, init_state_id=\"q0\")\n\n\ndef sevpa_for_L2():\n    state_setup = {\n        'q0': (False, {'d': [('q1', 'pop', ('q0', 'a')), ('q1', 'pop', ('q0', 'b'))],\n                       'c': [('q1', 'pop', ('q0', 'a')), ('q1', 'pop', ('q0', 'b'))]\n                       }),\n        'q1': (True, {'d': [('q1', 'pop', ('q0', 'a')), ('q1', 'pop', ('q0', 'b'))],\n                      'c': [('q1', 'pop', ('q0', 'a')), ('q1', 'pop', ('q0', 'b'))]\n                      })\n    }\n\n    return Sevpa.from_state_setup(state_setup, init_state_id=\"q0\")\n\n\ndef sevpa_for_L3():\n    state_setup = {\n        'q0': (False, {'g': [('q6', 'pop', ('q0', 'd')),\n                             ('q4', 'pop', ('q0', 'b'))],\n                       'e': [('q5', 'pop', ('q0', 'd')),\n                             ('q2', 'pop', ('q0', 'b'))]\n                       }),\n        'q1': (True, {'g': [('q6', 'pop', ('q0', 'd')),\n                            ('q4', 'pop', ('q0', 'b'))],\n                      'e': [('q5', 'pop', ('q0', 'd')),\n                            ('q2', 'pop', ('q0', 'b'))]\n                      }),\n        'q2': (False, {'f': [('q1', 'pop', ('q0', 'a'))]\n                       }),\n        'q4': (False, {'h': [('q1', 'pop', ('q0', 'a'))]\n                       }),\n        'q5': (False, {'f': [('q1', 'pop', ('q0', 'c'))]\n                       }),\n        'q6': (False, {'h': [('q1', 'pop', ('q0', 'c'))]\n                       })\n    }\n\n    return Sevpa.from_state_setup(state_setup, init_state_id=\"q0\")\n\n\ndef sevpa_for_L4():\n    state_setup = {\n        'q0': (False, {'c': [('q2', 'pop', ('q0', 'b'))]\n                       }),\n        'q1': (True, {'c': [('q2', 'pop', ('q0', 'b'))]\n                      }),\n        'q2': (False, {'d': [('q1', 'pop', ('q0', 'a'))]\n                       })\n    }\n    return Sevpa.from_state_setup(state_setup, init_state_id=\"q0\")\n\n\ndef sevpa_for_L5():\n    state_setup = {\n        'q0': (False, {'d': [('q2', 'pop', ('q0', 'c'))]\n                       }),\n        'q1': (True, {'d': [('q2', 'pop', ('q0', 'c'))]\n                      }),\n        'q2': (False, {'e': [('q3', 'pop', ('q0', 'b'))]\n                       }),\n        'q3': (False, {'f': [('q1', 'pop', ('q0', 'a'))]\n                       })\n    }\n\n    return Sevpa.from_state_setup(state_setup, init_state_id=\"q0\")\n\n\ndef sevpa_for_L7():\n    state_setup = {\n        'q0': (False, {')': [('q1', 'pop', ('q0', '(')),\n                             ('q1', 'pop', ('q1', '('))],\n                       ']': [('q1', 'pop', ('q0', '[')),\n                             ('q1', 'pop', ('q1', '['))]\n                       }),\n        'q1': (True, {')': [('q1', 'pop', ('q0', '(')),\n                            ('q1', 'pop', ('q1', '('))],\n                      ']': [('q1', 'pop', ('q0', '[')),\n                            ('q1', 'pop', ('q1', '['))]\n                      })\n\n    }\n\n    return Sevpa.from_state_setup(state_setup, init_state_id=\"q0\")\n\n\ndef sevpa_for_L8():\n    state_setup = {\n        'q0': (False, {')': [('q1', 'pop', ('q0', '(')),\n                             ('q1', 'pop', ('q1', '('))],\n                       '}': [('q1', 'pop', ('q0', '{')),\n                             ('q1', 'pop', ('q1', '{'))],\n                       ']': [('q1', 'pop', ('q0', '[')),\n                             ('q1', 'pop', ('q1', '['))]\n                       }),\n        'q1': (True, {')': [('q1', 'pop', ('q0', '(')),\n                            ('q1', 'pop', ('q1', '('))],\n                      '}': [('q1', 'pop', ('q0', '{')),\n                            ('q1', 'pop', ('q1', '{'))],\n                      ']': [('q1', 'pop', ('q0', '[')),\n                            ('q1', 'pop', ('q1', '['))]\n                      })\n    }\n    return Sevpa.from_state_setup(state_setup, init_state_id=\"q0\")\n\n\ndef sevpa_for_L9():\n    state_setup = {\n        'q0': (False, {']': [('q1', 'pop', ('q0', '[')),\n                             ('q1', 'pop', ('q1', '['))],\n                       '}': [('q1', 'pop', ('q0', '{')),\n                             ('q1', 'pop', ('q1', '{'))],\n                       ')': [('q1', 'pop', ('q0', '(')),\n                             ('q1', 'pop', ('q1', '('))],\n                       '>': [('q1', 'pop', ('q0', '<')),\n                             ('q1', 'pop', ('q1', '<'))]\n                       }),\n        'q1': (True, {']': [('q1', 'pop', ('q0', '[')),\n                            ('q1', 'pop', ('q1', '['))],\n                      '}': [('q1', 'pop', ('q0', '{')),\n                            ('q1', 'pop', ('q1', '{'))],\n                      ')': [('q1', 'pop', ('q0', '(')),\n                            ('q1', 'pop', ('q1', '('))],\n                      '>': [('q1', 'pop', ('q0', '<')),\n                            ('q1', 'pop', ('q1', '<'))]\n                      })\n    }\n\n    return Sevpa.from_state_setup(state_setup, init_state_id=\"q0\")\n\n\ndef sevpa_for_L10():\n    state_setup = {\n        \"q0\": (False, {\"b\": [(\"qb\", None, None)],\n                       }),\n        \"qb\": (False, {\"c\": [(\"qc\", None, None)],\n                       }),\n        \"qc\": (False, {\"d\": [(\"qd\", None, None)],\n                       }),\n        \"qd\": (False, {\"e\": [(\"q1\", None, None)],\n                       }),\n        \"q1\": (False, {\"v\": [(\"qv\", 'pop', ('q0', 'a')),\n                             (\"qv\", 'pop', ('q1', 'a')),\n                             (\"qv\", 'pop', ('q2', 'a'))]\n                       }),\n        \"qv\": (False, {\"w\": [(\"qw\", None, None)]\n                       }),\n        \"qw\": (False, {\"x\": [(\"qx\", None, None)]\n                       }),\n        \"qx\": (False, {\"y\": [(\"qy\", None, None)]\n                       }),\n        \"qy\": (False, {\"z\": [(\"q2\", None, None)]\n                       }),\n        \"q2\": (True, {\"v\": [(\"qv\", 'pop', ('q0', 'a')),\n                            (\"qv\", 'pop', ('q1', 'a')),\n                            (\"qv\", 'pop', ('q2', 'a'))]\n                      })\n    }\n\n    return Sevpa.from_state_setup(state_setup, init_state_id=\"q0\")\n\n\ndef sevpa_for_L11():\n    state_setup = {\n        'q0': (False, {'i1': [('q2', None, None)],\n                       'r1': [('q3', 'pop', ('q0', 'c2')),\n                              ('q3', 'pop', ('q1', 'c2')),\n                              ('q5', 'pop', ('q2', 'c2'))],\n                       'r2': [('q1', 'pop', ('q0', 'c2')),\n                              ('q1', 'pop', ('q1', 'c2')),\n                              ('q2', 'pop', ('q2', 'c2'))]\n                       }),\n        'q1': (True, {'r1': [('q3', 'pop', ('q0', 'c2')),\n                             ('q3', 'pop', ('q1', 'c2')),\n                             ('q5', 'pop', ('q2', 'c2'))],\n                      'r2': [('q1', 'pop', ('q0', 'c2')),\n                             ('q1', 'pop', ('q1', 'c2')),\n                             ('q2', 'pop', ('q2', 'c2'))]\n                      }),\n        'q2': (False, {'r1': [('q3', 'pop', ('q0', 'c1')),\n                              ('q3', 'pop', ('q1', 'c1')),\n                              ('q5', 'pop', ('q2', 'c1'))],\n                       'r2': [('q1', 'pop', ('q0', 'c1')),\n                              ('q1', 'pop', ('q1', 'c1')),\n                              ('q2', 'pop', ('q2', 'c1'))]\n                       }),\n        'q3': (False, {'i2': [('q1', None, None)]\n                       }),\n        'q5': (False, {'i2': [('q2', None, None)]\n                       })\n    }\n\n    return Sevpa.from_state_setup(state_setup, init_state_id=\"q0\")\n\n\ndef sevpa_for_L12():\n    state_setup = {\n        'q0': (False, {']': [('q1', 'pop', ('q0', '['))],\n                       ')': [('q1', 'pop', ('q0', '('))]\n                       }),\n        'q1': (True, {']': [('q1', 'pop', ('q0', '['))],\n                      ')': [('q1', 'pop', ('q0', '('))]\n                      })\n    }\n\n    return Sevpa.from_state_setup(state_setup, init_state_id=\"q0\", )\n\n\ndef sevpa_for_L13():\n    state_setup = {\n        'q0': (False, {'c': [('q1', None, None)],\n                       'b': [('q1', None, None)],\n                       'a': [('q1', None, None)],\n                       ')': [('q1', 'pop', ('q0', '(')),\n                             ('q1', 'pop', ('q1', '('))]\n                       }),\n        'q1': (True, {'c': [('q1', None, None)],\n                      'b': [('q1', None, None)],\n                      'a': [('q1', None, None)],\n                      ')': [('q1', 'pop', ('q0', '(')),\n                            ('q1', 'pop', ('q1', '('))]\n                      })\n    }\n\n    return Sevpa.from_state_setup(state_setup, init_state_id=\"q0\")\n\n\ndef sevpa_for_L14():\n    state_setup = {\n        'q0': (False, {'a': [('q1', None, None)],\n                       'b': [('q1', None, None)],\n                       'c': [('q1', None, None)],\n                       ']': [('q1', 'pop', ('q0', '[')),\n                             ('q1', 'pop', ('q1', '['))],\n                       ')': [('q1', 'pop', ('q0', '(')),\n                             ('q1', 'pop', ('q1', '('))]\n                       }),\n        'q1': (True, {'a': [('q1', None, None)],\n                      'b': [('q1', None, None)],\n                      'c': [('q1', None, None)],\n                      ']': [('q1', 'pop', ('q0', '[')),\n                            ('q1', 'pop', ('q1', '['))],\n                      ')': [('q1', 'pop', ('q0', '(')),\n                            ('q1', 'pop', ('q1', '('))]\n                      })\n    }\n\n    return Sevpa.from_state_setup(state_setup, init_state_id=\"q0\")\n\n\ndef sevpa_for_L15():\n    # Dyck order 1\n\n    state_setup = {\n        'q0': (False, {'d': [('q1', None, None)],\n                       'a': [('q2', None, None)],\n                       ')': [('q1', 'pop', ('q0', '(')),\n                             ('q1', 'pop', ('q1', '('))]\n                       }),\n        'q1': (True, {'d': [('q1', None, None)],\n                      'a': [('q2', None, None)],\n                      ')': [('q1', 'pop', ('q0', '(')),\n                            ('q1', 'pop', ('q1', '('))]\n                      }),\n        'q2': (False, {'b': [('q3', None, None)]\n                       }),\n        'q3': (False, {'c': [('q1', None, None)]\n                       })\n    }\n\n    return Sevpa.from_state_setup(state_setup, init_state_id=\"q0\")\n\n\nif __name__ == '__main__':\n    e = sevpa_for_L13()\n    print(e)\n    print(e.get_input_alphabet())\n    e.save('test')\n    m = load_automaton_from_file('test.dot', automaton_type='vpa')\n    print('Loaded')\n    print(m)\n\n"
  },
  {
    "path": "aalpy/utils/BenchmarkVpaModels.py",
    "content": "import random\n\nfrom aalpy.automata.Vpa import Vpa, VpaAlphabet\n\n\ndef vpa_L1():\n    # we always ensure that n >= 1\n\n    call_set = ['a']\n    return_set = ['b']\n    internal_set = []\n\n    input_alphabet = VpaAlphabet(internal_alphabet=internal_set, call_alphabet=call_set, return_alphabet=return_set)\n\n    state_setup = {\n        \"q0\": (False, {\"a\": [(\"q1\", 'push', \"a\")], }),\n        \"q1\": (False, {\"a\": [(\"q1\", 'push', \"a\")], \"b\": [(\"q2\", 'pop', \"a\")]}),\n        \"q2\": (True, {\"b\": [(\"q2\", 'pop', \"a\")]}),\n    }\n    vpa = Vpa.from_state_setup(state_setup, init_state_id=\"q0\", input_alphabet=input_alphabet)\n    return vpa\n\n\ndef vpa_L2():\n    call_set = ['a', 'b']\n    return_set = ['c', 'd']\n    internal_set = []\n\n    input_alphabet = VpaAlphabet(internal_alphabet=internal_set, call_alphabet=call_set, return_alphabet=return_set)\n\n    state_setup = {\n        \"q0\": (False, {\"a\": [(\"q1\", 'push', \"a\")], \"b\": [(\"q1\", 'push', \"b\")], }),\n        \"q1\": (False, {\"a\": [(\"q1\", 'push', \"a\")], \"b\": [(\"q1\", 'push', \"b\")],\n                       \"c\": [(\"q2\", 'pop', \"a\"), (\"q2\", 'pop', \"b\")],\n                       \"d\": [(\"q2\", 'pop', \"a\"), (\"q2\", 'pop', \"b\")]}),\n        \"q2\": (True, {\"c\": [(\"q2\", 'pop', \"a\"), (\"q2\", 'pop', \"b\")],\n                      \"d\": [(\"q2\", 'pop', \"a\"), (\"q2\", 'pop', \"b\")]}),\n    }\n    vpa = Vpa.from_state_setup(state_setup, init_state_id=\"q0\", input_alphabet=input_alphabet)\n    return vpa\n\n\ndef vpa_for_L3():\n    call_set = ['a', 'c', 'b', 'd']\n    return_set = ['e', 'g', 'f', 'h']\n    internal_set = []\n\n    input_alphabet = VpaAlphabet(internal_alphabet=internal_set, call_alphabet=call_set, return_alphabet=return_set)\n\n    state_setup = {\n        \"q0\": (False, {\"a\": [(\"q0a\", 'push', \"a\")],\n                       \"c\": [(\"q0c\", 'push', \"c\")],\n                       }),\n        \"q0a\": (False, {\"b\": [(\"q1\", 'push', \"b\")]}),\n        \"q0c\": (False, {\"d\": [(\"q1\", 'push', \"d\")]}),\n        \"q1\": (False, {\"a\": [(\"q1a\", 'push', \"a\")],\n                       \"c\": [(\"q1c\", 'push', \"c\")],\n                       \"e\": [(\"q2e\", 'pop', \"b\"), (\"q2e\", 'pop', \"d\")],\n                       \"g\": [(\"q2g\", 'pop', \"b\"), (\"q2g\", 'pop', \"d\")],  # stack should actually be redundant\n                       }),\n        \"q1a\": (False, {\"b\": [(\"q1\", 'push', \"b\")]}),\n        \"q1c\": (False, {\"d\": [(\"q1\", 'push', \"d\")]}),\n        \"q2e\": (False, {\"f\": [(\"q2\", 'pop', \"a\"), (\"q2\", 'pop', \"c\")]}),\n        \"q2g\": (False, {\"h\": [(\"q2\", 'pop', \"a\"), (\"q2\", 'pop', \"c\")]}),\n        \"q2\": (True, {\"e\": [(\"q2e\", 'pop', \"b\"), (\"q2e\", 'pop', \"d\")],\n                      \"g\": [(\"q2g\", 'pop', \"b\"), (\"q2g\", 'pop', \"d\")]})\n    }\n    vpa = Vpa.from_state_setup(state_setup, init_state_id=\"q0\", input_alphabet=input_alphabet)\n    return vpa\n\n\ndef vpa_L3():\n    call_set = ['a', 'b']\n    return_set = ['c', 'd']\n    internal_set = []\n\n    input_alphabet = VpaAlphabet(internal_alphabet=internal_set, call_alphabet=call_set, return_alphabet=return_set)\n\n    state_setup = {\n        \"q0\": (False, {\"a\": [(\"q01\", 'push', \"a\")], }),\n        \"q01\": (False, {\"b\": [(\"q1\", 'push', \"b\")], }),\n\n        \"q1\": (False, {\"a\": [(\"q11\", 'push', \"a\")],\n                       \"c\": [(\"q21\", 'pop', \"b\")]}),\n        \"q11\": (False, {\"b\": [(\"q1\", 'push', \"b\")], }),\n        \"q21\": (False, {\"d\": [(\"q2\", 'pop', \"a\")]}),\n        \"q2\": (True, {\"c\": [(\"q21\", 'pop', \"b\")]}),\n    }\n    vpa = Vpa.from_state_setup(state_setup, init_state_id=\"q0\", input_alphabet=input_alphabet)\n    return vpa\n\n\ndef vpa_L4():\n    # Dyck order 2\n\n    call_set = ['(', '[']\n    return_set = [')', ']']\n    internal_set = []\n\n    input_alphabet = VpaAlphabet(internal_alphabet=internal_set, call_alphabet=call_set, return_alphabet=return_set)\n\n    state_setup = {\n        \"q0\": (False, {\"(\": [(\"q1\", 'push', '(')],\n                       \"[\": [(\"q1\", 'push', '[')],  # exclude empty seq\n                       }),\n        \"q1\": (True, {\"(\": [(\"q1\", 'push', '(')],\n                      \"[\": [(\"q1\", 'push', '[')],\n                      \")\": [(\"q1\", 'pop', \"(\")],\n                      \"]\": [(\"q1\", 'pop', \"[\")]\n                      }),\n    }\n    vpa = Vpa.from_state_setup(state_setup, init_state_id=\"q0\", input_alphabet=input_alphabet)\n    return vpa\n\n\ndef vpa_L6():\n    # Dyck order 3\n\n    call_set = ['(', '[', '{']\n    return_set = [')', ']', '}']\n    internal_set = []\n\n    input_alphabet = VpaAlphabet(internal_alphabet=internal_set, call_alphabet=call_set, return_alphabet=return_set)\n\n    state_setup = {\n        \"q0\": (False, {\"(\": [(\"q1\", 'push', '(')],\n                       \"[\": [(\"q1\", 'push', '[')],\n                       \"{\": [(\"q1\", 'push', '{')],\n                       }),\n        \"q1\": (True, {\"(\": [(\"q1\", 'push', '(')],\n                      \"[\": [(\"q1\", 'push', '[')],\n                      \"{\": [(\"q1\", 'push', '{')],\n                      \")\": [(\"q1\", 'pop', \"(\")],\n                      \"]\": [(\"q1\", 'pop', \"[\")],\n                      \"}\": [(\"q1\", 'pop', \"{\")],\n                      }),\n    }\n    vpa = Vpa.from_state_setup(state_setup, init_state_id=\"q0\", input_alphabet=input_alphabet)\n    return vpa\n\n\ndef vpa_L8():\n    # Dyck order 4\n\n    call_set = ['(', '[', '{', '<']\n    return_set = [')', ']', '}', '>']\n    internal_set = []\n\n    input_alphabet = VpaAlphabet(internal_alphabet=internal_set, call_alphabet=call_set, return_alphabet=return_set)\n\n    state_setup = {\n        \"q0\": (False, {\"(\": [(\"q1\", 'push', '(')],\n                       \"[\": [(\"q1\", 'push', '[')],\n                       \"{\": [(\"q1\", 'push', '{')],\n                       \"<\": [(\"q1\", 'push', '<')],\n                       }),\n        \"q1\": (True, {\"(\": [(\"q1\", 'push', '(')],\n                      \"[\": [(\"q1\", 'push', '[')],\n                      \"{\": [(\"q1\", 'push', '{')],\n                      \"<\": [(\"q1\", 'push', '<')],\n                      \")\": [(\"q1\", 'pop', \"(\")],\n                      \"]\": [(\"q1\", 'pop', \"[\")],\n                      \"}\": [(\"q1\", 'pop', \"{\")],\n                      \">\": [(\"q1\", 'pop', \"<\")],\n                      }),\n    }\n    vpa = Vpa.from_state_setup(state_setup, init_state_id=\"q0\", input_alphabet=input_alphabet)\n    return vpa\n\n\ndef vpa_L9():\n    # Dyck order 2 (single-nested)\n\n    call_set = ['(', '[']\n    return_set = [')', ']']\n    internal_set = []\n\n    input_alphabet = VpaAlphabet(internal_alphabet=internal_set, call_alphabet=call_set, return_alphabet=return_set)\n\n    state_setup = {\n        \"q0\": (False, {\"(\": [(\"q1\", 'push', \"(\")],\n                       \"[\": [(\"q1\", 'push', \"[\")],  # exclude empty seq\n                       }),\n        \"q1\": (False, {\"(\": [(\"q1\", 'push', \"(\")],\n                       \"[\": [(\"q1\", 'push', \"[\")],\n                       \")\": [(\"q2\", 'pop', \"(\")],\n                       \"]\": [(\"q2\", 'pop', \"[\")]}),\n        \"q2\": (True, {\n            \")\": [(\"q2\", 'pop', \"(\")],\n            \"]\": [(\"q2\", 'pop', \"[\")]\n        }),\n    }\n    vpa = Vpa.from_state_setup(state_setup, init_state_id=\"q0\", input_alphabet=input_alphabet)\n    return vpa\n\n\ndef vpa_L10():\n    # Dyck order 1\n\n    call_set = ['(']\n    return_set = [')']\n    internal_set = ['a', 'b', 'c']\n\n    input_alphabet = VpaAlphabet(internal_alphabet=internal_set, call_alphabet=call_set, return_alphabet=return_set)\n\n    state_setup = {\n        \"q0\": (False, {\"(\": [(\"q1\", 'push', \"(\")],\n                       \"a\": [(\"q1\", None, None)],\n                       \"b\": [(\"q1\", None, None)],\n                       \"c\": [(\"q1\", None, None)],  # exclude empty seq\n                       }),\n        \"q1\": (True, {\"(\": [(\"q1\", 'push', \"(\")],\n                      \")\": [(\"q1\", 'pop', \"(\")],\n                      \"a\": [(\"q1\", None, None)],\n                      \"b\": [(\"q1\", None, None)],\n                      \"c\": [(\"q1\", None, None)]\n                      }),\n    }\n    vpa = Vpa.from_state_setup(state_setup, init_state_id=\"q0\", input_alphabet=input_alphabet)\n    return vpa\n\n\ndef vpa_L11():\n    # Dyck order 2\n\n    call_set = ['(', '[']\n    return_set = [')', ']']\n    internal_set = ['a', 'b', 'c']\n\n    input_alphabet = VpaAlphabet(internal_alphabet=internal_set, call_alphabet=call_set, return_alphabet=return_set)\n\n    state_setup = {\n        \"q0\": (False, {\"(\": [(\"q1\", 'push', \"(\")],\n                       \"[\": [(\"q1\", 'push', \"[\")],\n                       \"a\": [(\"q1\", None, None)],\n                       \"b\": [(\"q1\", None, None)],\n                       \"c\": [(\"q1\", None, None)],  # exclude empty seq\n                       }),\n        \"q1\": (True, {\"(\": [(\"q1\", 'push', \"(\")],\n                      \"[\": [(\"q1\", 'push', \"[\")],\n                      \")\": [(\"q1\", 'pop', \"(\")],\n                      \"]\": [(\"q1\", 'pop', \"[\")],\n                      \"a\": [(\"q1\", None, None)],\n                      \"b\": [(\"q1\", None, None)],\n                      \"c\": [(\"q1\", None, None)]\n                      }),\n    }\n    vpa = Vpa.from_state_setup(state_setup, init_state_id=\"q0\", input_alphabet=input_alphabet)\n    return vpa\n\n\ndef vpa_L12():\n    # Dyck order 1\n\n    call_set = ['(']\n    return_set = [')']\n    internal_set = ['a', 'b', 'c', 'd']\n\n    input_alphabet = VpaAlphabet(internal_alphabet=internal_set, call_alphabet=call_set, return_alphabet=return_set)\n\n    state_setup = {\n        \"q0\": (False, {\"(\": [(\"q1\", 'push', \"(\")],\n                       \"a\": [(\"qa\", None, None)],\n                       \"d\": [(\"q1\", None, None)],  # exclude empty seq\n                       }),\n        \"q1\": (True, {\"(\": [(\"q1\", 'push', \"(\")],\n                      \")\": [(\"q1\", 'pop', \"(\")],\n                      \"a\": [(\"qa\", None, None)],\n                      \"d\": [(\"q1\", None, None)],\n                      }),\n        \"qa\": (False, {\"b\": [(\"qb\", None, None)],\n                       }),\n        \"qb\": (False, {\"c\": [(\"q1\", None, None)],\n                       })\n    }\n    vpa = Vpa.from_state_setup(state_setup, init_state_id=\"q0\", input_alphabet=input_alphabet)\n    return vpa\n\n\ndef vpa_for_L16():\n    # just a testing language\n\n    call_set = ['a']\n    return_set = ['b']\n    internal_set = []\n\n    input_alphabet = VpaAlphabet(internal_alphabet=internal_set, call_alphabet=call_set, return_alphabet=return_set)\n\n    state_setup = {\n        \"q0\": (False, {\"a\": [(\"q1\", 'push', \"$\")]}),\n        \"q1\": (False, {\"a\": [(\"q1\", 'push', \"x\")],\n                       \"b\": [(\"q1\", 'pop', \"x\"), (\"q2\", 'pop', \"$\")],\n                       }),\n        \"q2\": (True, {})\n    }\n    vpa = Vpa.from_state_setup(state_setup, init_state_id=\"q0\", input_alphabet=input_alphabet)\n    return vpa\n\n\ndef vpa_for_odd_parentheses():\n    # VPA for accepting only odd number of fully balanced parentheses\n    # It accepts patterns like () and ((()))), but rejects odd pairs or multiple groups\n\n    call_set = ['(']\n    return_set = [')']\n    internal_set = []\n\n    input_alphabet = VpaAlphabet(internal_alphabet=internal_set, call_alphabet=call_set, return_alphabet=return_set)\n\n    state_setup = {\n        \"q0\": (False, {\n            \"(\": [(\"q1\", 'push', \"(\")]\n        }),\n        \"q1\": (False, {\n            \"(\": [(\"q0\", 'push', \"(\")],\n            \")\": [(\"q2\", 'pop', \"(\")]\n        }),\n        \"q2\": (True, {\n            \")\": [(\"q2\", 'pop', \"(\")]\n        }),\n    }\n\n    vpa = Vpa.from_state_setup(state_setup, init_state_id=\"q0\", input_alphabet=input_alphabet)\n    return vpa\n\n\ndef vpa_for_even_parentheses():\n    # VPA for accepting only even number of fully balanced parentheses\n\n    call_set = ['(']\n    return_set = [')']\n    internal_set = []\n\n    input_alphabet = VpaAlphabet(internal_alphabet=internal_set, call_alphabet=call_set, return_alphabet=return_set)\n\n    state_setup = {\n        \"q0\": (False, {\n            \"(\": [(\"q1\", 'push', \"(\")]\n        }),\n        \"q1\": (False, {\n            \"(\": [(\"q2\", 'push', \"(\")],\n        }),\n        \"q2\": (True, {\n            \")\": [(\"q2\", 'pop', \"(\")],\n            \"(\": [(\"q1\", 'push', \"(\")]\n        }),\n    }\n\n    vpa = Vpa.from_state_setup(state_setup, init_state_id=\"q0\", input_alphabet=input_alphabet)\n    return vpa\n\n\ndef gen_arithmetic_data(num_sequences=3000, min_seq_len=2, max_seq_len=8):\n    import ast\n    from aalpy.base import SUL\n    from aalpy.utils import convert_i_o_traces_for_RPNI\n\n    class ArithmeticSUL(SUL):\n        def __init__(self):\n            super().__init__()\n            self.string_under_test = ''\n\n        def pre(self):\n            self.string_under_test = ''\n\n        def post(self):\n            pass\n\n        def step(self, letter):\n            if letter:\n                self.string_under_test += ' ' + letter if len(self.string_under_test) > 0 else letter\n\n            try:\n                # Parse the expression using ast\n                parsed_expr = ast.parse(self.string_under_test, mode='eval')\n                # Check if the parsed expression is a valid arithmetic expression\n                is_valid = all(isinstance(node, (ast.Expression, ast.BinOp, ast.UnaryOp, ast.Num, ast.Name, ast.Load))\n                               or isinstance(node, ast.operator) or isinstance(node, ast.expr_context)\n                               or (isinstance(node, ast.BinOp) and isinstance(node.op, ast.operator))\n                               for node in ast.walk(parsed_expr))\n                return is_valid\n\n            except SyntaxError:\n                return False\n\n    sul = ArithmeticSUL()\n\n    alphabet = VpaAlphabet(internal_alphabet=['1', '+', ], call_alphabet=['(', ], return_alphabet=[')', ])\n    merged_alphabet = alphabet.get_merged_alphabet()\n    data = []\n    while len(data) < num_sequences:\n        seq = []\n        for _ in range(random.randint(min_seq_len, max_seq_len)):\n            seq.append(random.choice(merged_alphabet))\n\n            outputs = sul.query(tuple(seq))\n            data.append(list(zip(seq, outputs)))\n\n    rpni_format = convert_i_o_traces_for_RPNI(data)\n\n    return rpni_format, alphabet\n\n\ndef vpa_json():\n    # Define call, return, and internal symbols for JSON\n    call_set = ['{', '[']\n    return_set = ['}', ']']\n    internal_set = [':', ',', 'key', 'val']  # Keys, values, and separators as internal alphabet symbols\n\n    # Define the input alphabet\n    input_alphabet = VpaAlphabet(\n        internal_alphabet=internal_set,\n        call_alphabet=call_set,\n        return_alphabet=return_set\n    )\n\n    # Define states and transitions\n    state_setup = {\n        \"q0\": (False, {\n            \"{\": [(\"q1\", 'push', '{')],\n            \"[\": [(\"q2\", 'push', '[')],\n            \"}\": [(\"q0\", 'pop', '{')],\n            \"]\": [(\"q0\", 'pop', '[')],\n            \"key\": [(\"q3\", None, None)],  # Expect a key in an object\n\n        }),\n\n        # Array parsing state\n        \"q2\": (False, {\n            \"val\": [(\"q5\", None, None)],  # Allow multiple values in an array\n            \"[\": [(\"q2\", 'push', '[')],  # Nested arrays\n            \"]\": [(\"q0\", 'pop', '[')],  # End of array\n        }),\n\n        # After parsing a key\n        \"q3\": (False, {\n            \":\": [(\"q4\", None, None)],  # Key-value separator\n        }),\n\n        # After parsing a key-value separator\n        \"q4\": (False, {\n            \"val\": [(\"q5\", None, None)],  # Expecting a value\n            \"{\": [(\"q0\", 'push', '{')],  # Nested object\n            \"[\": [(\"q2\", 'push', '[')],  # Nested array\n        }),\n\n        # After parsing a value in an object\n        \"q5\": (False, {\n            \",\": [(\"q4\", None, None)],  # Another key-value pair\n            \"}\": [(\"q0\", 'pop', '{')],  # End of object\n            \"]\": [(\"q0\", 'pop', '[')],  # End of object\n        }),\n    }\n\n    # Construct and return the VPA\n    vpa = Vpa.from_state_setup(state_setup, init_state_id=\"q0\", input_alphabet=input_alphabet)\n    return vpa\n\n\ndef get_all_VPAs():\n    from aalpy import load_automaton_from_file\n    arithmetics_vpa = load_automaton_from_file('../DotModels/arithmetics.dot', 'vpa')\n    return [vpa_L1(), vpa_L2(), vpa_L3(), vpa_L4(),\n            vpa_L6(), vpa_L8(), vpa_L9(), vpa_L10(),\n            vpa_L11(), vpa_L12(), vpa_for_odd_parentheses(), vpa_for_even_parentheses(), arithmetics_vpa]\n"
  },
  {
    "path": "aalpy/utils/DataHandler.py",
    "content": "from abc import ABC, abstractmethod\n\n\nclass DataHandler(ABC):\n    \"\"\"\n    Abstract class used for data loading for Alergia algorithm. Usage of class is not needed, but recommended for\n    consistency.\n    \"\"\"\n\n    @abstractmethod\n    def tokenize_data(self, path):\n        pass\n\n\nclass CharacterTokenizer(DataHandler):\n    \"\"\"\n    Used for Markov Chain data parsing.\n    Processes data where each input is a single character.\n    Each input sequence is in the separate line.\n    \"\"\"\n\n    def tokenize_data(self, path):\n        data = []\n        lines = open(path).read().splitlines()\n        for l in lines:\n            data.append(list(l))\n        return data\n\n\nclass DelimiterTokenizer(DataHandler):\n    \"\"\"\n    Used for Markov Chain data parsing.\n    Processes data where each input is separated by the delimiter.\n    Each input sequence is in the separate line.\n    \"\"\"\n\n    def tokenize_data(self, path, delimiter=','):\n        data = []\n        lines = open(path).read().splitlines()\n        for l in lines:\n            data.append(l.split(delimiter))\n        return data\n\n\nclass IODelimiterTokenizer(DataHandler):\n    \"\"\"\n    Used for Markov Decision Process data parsing.\n    Processes data where each input/output is separated by the io_delimiter, and i/o pairs are separated\n    by word delimiter.\n    Each [output, tuple(input,output)*] sequence is in the separate line.\n    \"\"\"\n\n    def tokenize_data(self, path, io_delimiter='/', word_delimiter=','):\n        data = []\n        lines = open(path).read().splitlines()\n        for l in lines:\n            words = l.split(word_delimiter)\n            seq = [words[0]]\n            for w in words[1:]:\n                i_o = w.split(io_delimiter)\n                if len(i_o) != 2:\n                    print('Data formatting error. io_delimiter should split words into <input> <delim> <output>'\n                          'where <delim> is values of param \\\"io_delimiter\\'\"')\n                    exit(-1)\n                seq.append(tuple([try_int(i_o[0]), try_int(i_o[1])]))\n            data.append(seq)\n        return data\n\n\ndef try_int(x):\n    if str.isdigit(x):\n        return int(x)\n    return x\n"
  },
  {
    "path": "aalpy/utils/FileHandler.py",
    "content": "import re\nimport sys\nimport traceback\nfrom pathlib import Path\n\nfrom pydot import Dot, Node, Edge\n\nfrom aalpy.automata import Dfa, MooreMachine, Mdp, Onfsm, MealyState, DfaState, MooreState, MealyMachine, \\\n    MdpState, StochasticMealyMachine, StochasticMealyState, OnfsmState, MarkovChain, McState, Sevpa, SevpaState, \\\n    SevpaTransition, Vpa, VpaState, VpaTransition, NDMooreMachine, NDMooreState\n\nfile_types = ['dot', 'png', 'svg', 'pdf', 'string']\nautomaton_types = {Dfa: 'dfa', MealyMachine: 'mealy', MooreMachine: 'moore', Mdp: 'mdp',\n                   StochasticMealyMachine: 'smm', Onfsm: 'onfsm', NDMooreMachine: 'ndmoore', MarkovChain: 'mc',\n                   Sevpa: 'sevpa', Vpa: 'vpa'}\n\n\ndef _wrap_label(label):\n    \"\"\"\n    Adds a \" \" around a label if not already present on both ends.\n    \"\"\"\n    if label[0] == '\\\"' and label[-1] == '\\\"':\n        return label\n    return f'\\\"{label}\\\"'\n\n\ndef _get_node(state, automaton_type):\n    if automaton_type == 'dfa':\n        if state.is_accepting:\n            return Node(state.state_id, label=_wrap_label(state.state_id), shape='doublecircle')\n        return Node(state.state_id, label=_wrap_label(state.state_id))\n    if automaton_type == 'mealy':\n        return Node(state.state_id, label=_wrap_label(state.state_id))\n    if automaton_type in ['moore', 'ndmoore']:\n        return Node(state.state_id, label=_wrap_label(f'{state.state_id}|{state.output}'), shape='record',\n                    style='rounded')\n    if automaton_type == 'onfsm':\n        return Node(state.state_id, label=_wrap_label(state.state_id))\n    if automaton_type == 'mc':\n        return Node(state.state_id, label=_wrap_label(f'{state.output}'))\n    if automaton_type == 'mdp':\n        return Node(state.state_id, label=_wrap_label(f'{state.output}'))\n    if automaton_type == 'smm':\n        return Node(state.state_id, label=_wrap_label(state.state_id))\n    if automaton_type == 'sevpa' or automaton_type == 'vpa':\n        if state.is_accepting:\n            return Node(state.state_id, label=_wrap_label(state.state_id), shape='doublecircle')\n        return Node(state.state_id, label=_wrap_label(state.state_id))\n\n\ndef _add_transition_to_graph(graph, state, automaton_type, display_same_state_trans, round_floats):\n    if automaton_type == 'dfa' or automaton_type == 'moore':\n        for i in state.transitions.keys():\n            new_state = state.transitions[i]\n            if not display_same_state_trans and new_state.state_id == state.state_id:\n                continue\n            graph.add_edge(Edge(state.state_id, new_state.state_id, label=_wrap_label(f'{i}')))\n    if automaton_type == 'mealy':\n        for i in state.transitions.keys():\n            new_state = state.transitions[i]\n            if not display_same_state_trans and new_state.state_id == state.state_id:\n                continue\n            graph.add_edge(Edge(state.state_id, new_state.state_id, label=_wrap_label(f'{i}/{state.output_fun[i]}')))\n    if automaton_type == 'onfsm':\n        for i in state.transitions.keys():\n            new_state = state.transitions[i]\n            for s in new_state:\n                if not display_same_state_trans and state.state_id == s[1].state_id:\n                    continue\n                graph.add_edge(Edge(state.state_id, s[1].state_id, label=_wrap_label(f'{i}/{s[0]}')))\n    if automaton_type == 'ndmoore':\n        for i in state.transitions.keys():\n            new_states = state.transitions[i]\n            for new_state in new_states:\n                if not display_same_state_trans and state.state_id == new_state.state_id:\n                    continue\n                graph.add_edge(Edge(state.state_id, new_state.state_id, label=_wrap_label(f'{i}')))\n    if automaton_type == 'mc':\n        for new_state, prob in state.transitions:\n            prob = round(prob, round_floats) if round_floats else prob\n            graph.add_edge(Edge(state.state_id, new_state.state_id, label=f'{prob}'))\n    if automaton_type == 'mdp':\n        for i in state.transitions.keys():\n            new_state = state.transitions[i]\n            for s in new_state:\n                if not display_same_state_trans and s[0].state_id == state.state_id:\n                    continue\n                prob = round(s[1], round_floats) if round_floats else s[1]\n                graph.add_edge(Edge(state.state_id, s[0].state_id, label=_wrap_label(f'{i}:{prob}')))\n    if automaton_type == 'smm':\n        for i in state.transitions.keys():\n            new_state = state.transitions[i]\n            for s in new_state:\n                if not display_same_state_trans and s[0].state_id == state.state_id:\n                    continue\n                prob = round(s[2], round_floats) if round_floats else s[2]\n                graph.add_edge(Edge(state.state_id, s[0].state_id, label=_wrap_label(f'{i}/{s[1]}:{prob}')))\n    if automaton_type == 'sevpa':\n        for i in state.transitions.keys():\n            transitions_list = state.transitions[i]\n            for transition in transitions_list:\n                if transition.action == 'pop':\n                    edge = Edge(state.state_id, transition.target_state.state_id,\n                                label=_wrap_label(f'{transition.letter} / {transition.stack_guard}'))\n                elif transition.action is None:\n                    edge = Edge(state.state_id, transition.target_state.state_id,\n                                label=_wrap_label(f'{transition.letter}'))\n                else:\n                    assert False\n                graph.add_edge(edge)\n    if automaton_type == 'vpa':\n        for i in state.transitions.keys():\n            transitions_list = state.transitions[i]\n            for transition in transitions_list:\n                if transition.action == 'pop':\n                    edge = Edge(state.state_id, transition.target_state.state_id,\n                                label=_wrap_label(f'{transition.letter} / pop({transition.stack_guard})'))\n                elif transition.action == 'push':\n                    edge = Edge(state.state_id, transition.target_state.state_id,\n                                label=_wrap_label(f'{transition.letter} / push({transition.stack_guard})'))\n                elif transition.action is None:\n                    edge = Edge(state.state_id, transition.target_state.state_id,\n                                label=_wrap_label(f'{transition.letter}'))\n                else:\n                    assert False\n                graph.add_edge(edge)\n\n\ndef visualize_automaton(automaton, path=\"LearnedModel\", file_type=\"pdf\", display_same_state_trans=True):\n    \"\"\"\n    Create a graphical representation of the automaton.\n    Function is round in the separate thread in the background.\n    If possible, it will be opened by systems default program.\n\n    Args:\n\n        automaton: automaton to be visualized\n\n        path: pathlike or str, file in which visualization will be saved (Default value = \"LearnedModel.pdf\")\n\n        file_type: type of file/visualization. Can be ['png', 'svg', 'pdf'] (Default value = \"pdf\")\n\n        display_same_state_trans: if True, same state transitions will be displayed (Default value = True)\n\n    \"\"\"\n    print('Visualization started in the background thread.')\n\n    if len(automaton.states) >= 25:\n        print(f'Visualizing {len(automaton.states)} state automaton could take some time.')\n\n    import threading\n    visualization_thread = threading.Thread(target=save_automaton_to_file, name=\"Visualization\",\n                                            args=(automaton, path, file_type, display_same_state_trans, True, 2))\n    visualization_thread.start()\n\n\ndef save_automaton_to_file(automaton, path=\"LearnedModel\", file_type=\"dot\",\n                           display_same_state_trans=True, visualize=False, round_floats=None):\n    \"\"\"\n    The Standard of the automata strictly follows the syntax found at: https://automata.cs.ru.nl/Syntax/Overview.\n    For non-deterministic and stochastic systems syntax can be found on AALpy's Wiki.\n\n    Args:\n\n        automaton: automaton to be saved to file\n\n        path: pathlike or str, file in which visualization will be saved (Default value = \"LearnedModel\")\n\n        file_type: type of file/visualization. Can be ['dot', 'png', 'svg', 'pdf'] (Default value = \"dot)\n\n        display_same_state_trans: True, should not be set to false except from the visualization method\n            (Default value = True)\n\n        visualize: visualize the automaton\n\n        round_floats: for stochastic automata, round the floating point numbers to defined number of decimal places\n\n    Returns:\n\n    \"\"\"\n    path = Path(path)\n    file_type = file_type.lower()\n    assert file_type in file_types, f\"Filetype {file_type} not in allowed filetypes\"\n    path = path.with_suffix(f\".{file_type}\")\n    if file_type == 'dot' and not display_same_state_trans:\n        print(\"When saving to file all transitions will be saved\")\n        display_same_state_trans = True\n    automaton_type = automaton_types[automaton.__class__]\n\n    graph = Dot(path.stem, graph_type='digraph')\n    for state in automaton.states:\n        if automaton_type in {'vpa', 'sevpa'} and state.state_id == 'ErrorSinkState':\n            continue\n        graph.add_node(_get_node(state, automaton_type))\n\n    for state in automaton.states:\n        _add_transition_to_graph(graph, state, automaton_type, display_same_state_trans, round_floats)\n\n    # add initial node\n    graph.add_node(Node('__start0', shape='none', label=''))\n    graph.add_edge(Edge('__start0', automaton.initial_state.state_id, label=''))\n\n    if file_type == 'string':\n        return graph.to_string()\n    else:\n        try:\n            graph.write(path=path, format=file_type if file_type != 'dot' else 'raw')\n            print(f'Model saved to {path.as_posix()}.')\n\n            if visualize and file_type in {'pdf', 'png', 'svg'}:\n                try:\n                    import webbrowser\n                    webbrowser.open(path.resolve().as_uri())\n                except OSError:\n                    traceback.print_exc()\n                    print(f'Could not open the file {path.as_posix()}.', file=sys.stderr)\n        except OSError:\n            traceback.print_exc()\n            print(f'Could not write to the file {path.as_posix()}.', file=sys.stderr)\n\n\nsevpa_transition_pattern = r\"(\\S+)\\s*/\\s*\\(\\s*'(\\S+)'\\s*,\\s*'(\\S+)'\\s*\\)\"\nvpa_push_pattern = r\"(\\S+)\\s*/\\s*push\\(\\s*(.*?)\\s*\\)\"\nvpa_pop_pattern = r\"(\\S+)\\s*/\\s*pop\\(\\s*(.*?)\\s*\\)\"\n\n\ndef _process_label(label, source, destination, automaton_type):\n    if automaton_type == 'dfa' or automaton_type == 'moore':\n        source.transitions[int(label) if label.isdigit() else label] = destination\n    if automaton_type == 'mealy':\n        inp, out = label.split('/', maxsplit=1)\n        inp = int(inp) if inp.isdigit() else inp\n        out = int(out) if out.isdigit() else out\n        source.transitions[inp] = destination\n        source.output_fun[inp] = out\n    if automaton_type == 'onfsm':\n        inp, out = label.split('/', maxsplit=1)\n        inp = int(inp) if inp.isdigit() else inp\n        out = int(out) if out.isdigit() else out\n        source.transitions[inp].append((out, destination))\n    if automaton_type == 'ndmoore':\n        source.transitions[int(label) if label.isdigit() else label].append(destination)\n    if automaton_type == 'mc':\n        prob = label\n        source.transitions.append((destination, float(prob)))\n    if automaton_type == 'mdp':\n        inp, prob = label.split(':', maxsplit=1)\n        inp = int(inp) if inp.isdigit() else inp\n        prob = float(prob)\n        source.transitions[inp].append((destination, prob))\n    if automaton_type == 'smm':\n        inp, out_prob = label.split('/', maxsplit=1)\n        out, prob = out_prob.split(':', maxsplit=1)\n        inp = int(inp) if inp.isdigit() else inp\n        out = int(out) if out.isdigit() else out\n        source.transitions[inp].append((destination, out, float(prob)))\n    if automaton_type == 'sevpa':\n        match = re.match(sevpa_transition_pattern, label)\n        # cast to integer\n        label = int(label) if label.isdigit() else label\n        if match:\n            ret, stack_guard, top_of_stack = match.groups()\n            return_transition = SevpaTransition(destination, ret, 'pop', (stack_guard, top_of_stack))\n            source.transitions[label].append(return_transition)\n        else:\n            internal_transition = SevpaTransition(destination, label, None, None)\n            source.transitions[label].append(internal_transition)\n        pass\n    if automaton_type == 'vpa':\n        input_symbol, stack_symbol, action = None, None, None\n        if 'push' in label:\n            push_elements = re.match(vpa_push_pattern, label)\n            input_symbol, stack_symbol = push_elements.group(1), push_elements.group(2)\n            action = 'push'\n        elif 'pop' in label:\n            pop_elements = re.match(vpa_pop_pattern, label)\n            input_symbol, stack_symbol = pop_elements.group(1), pop_elements.group(2)\n            action = 'pop'\n        else:\n            input_symbol = label\n\n        input_symbol = int(input_symbol) if input_symbol.isdigit() else input_symbol\n        if stack_symbol:\n            stack_symbol = int(stack_symbol) if stack_symbol.isdigit() else stack_symbol\n\n        transition = VpaTransition(source, destination, input_symbol, action, stack_symbol)\n\n        source.transitions[input_symbol].append(transition)\n\n\ndef _process_node_label(node, label, node_label_dict, node_type, automaton_type):\n    node_name = node.get_name()\n    if automaton_type == 'mdp' or automaton_type == 'mc':\n        node_label_dict[node_name] = node_type(node_name, label)\n    else:\n        if automaton_type == 'moore' and label != \"\":\n            label_output = _strip_label(label)\n            label, output = label_output.split(\"|\", maxsplit=1)\n            output = output.strip() if not output.isdigit() else int(output)\n            node_label_dict[node_name] = node_type(label, output)\n        else:\n            node_label_dict[node_name] = node_type(label)\n        if automaton_type == 'dfa' or automaton_type == 'sevpa':\n            if 'shape' in node.get_attributes().keys() and 'doublecircle' in node.get_attributes()['shape']:\n                node_label_dict[node_name].is_accepting = True\n\n\ndef _strip_label(label: str) -> str:\n    label = label.strip()\n    if label[0] == '\\\"' and label[-1] == label[0]:\n        label = label[1:-1]\n    if label[0] == '{' and label[-1] == '}':\n        label = label[1:-1]\n    # label = label.replace(\" \", \"\")\n    return label\n\n\ndef _process_node_label_prime(node_name, label, line, node_label_dict, node_type, automaton_type):\n    if automaton_type == 'mdp' or automaton_type == 'mc':\n        node_label_dict[node_name] = node_type(node_name, label)\n    else:\n        if automaton_type in {'moore', 'ndmoore'} and label != \"\":\n            label_output = _strip_label(label)\n            if \"|\" in label_output:\n                label, output = label_output.split(\"|\", maxsplit=1)\n            else:\n                label = node_name\n                output = label_output\n            output = output.strip() if not output.isdigit() else int(output)\n            node_label_dict[node_name] = node_type(label, output)\n        else:\n            node_label_dict[node_name] = node_type(label)\n        if automaton_type in {'dfa', 'vpa', 'sevpa'}:\n            if 'doublecircle' in line:\n                node_label_dict[node_name].is_accepting = True\n\n\n# TODO: robust patterns (break eg. if state label contains \"-\")\nlabel_pattern = r'label=(\"[^\"]*\"|[^\\s\\],]*)'\nstarting_state_pattern = r'__start0\\s*->\\s*(\\w+)\\s*(?:\\[label=\"\"\\])?;?'\ntransition_pattern = r'(\\w+)\\s*->\\s*(\\w+)\\s*(.*)?;?'\n\n\ndef load_automaton_from_file(path, automaton_type, compute_prefixes=False):\n    \"\"\"\n    Loads the automaton from the file.\n    Standard of the automatas strictly follows syntax found at: https://automata.cs.ru.nl/Syntax/Overview.\n    For non-deterministic and stochastic systems syntax can be found on AALpy's Wiki.\n\n    Args:\n\n        path: pathlike or str to the file\n\n        automaton_type: type of the automaton, one of ['dfa', 'mealy', 'moore', 'mdp', 'smm',\n                        'onfsm', 'ndmoore', 'mc', 'sevpa', 'vpa']\n\n        compute_prefixes: it True, shortest path to reach every state will be computed and saved in the prefix of\n            the state. Useful when loading the model to use them as a equivalence oracle. (Default value = False)\n\n    Returns:\n\n      loaded automaton\n\n    \"\"\"\n    assert automaton_type in automaton_types.values()\n\n    id_node_aut_map = {'dfa': (DfaState, Dfa), 'mealy': (MealyState, MealyMachine), 'moore': (MooreState, MooreMachine),\n                       'onfsm': (OnfsmState, Onfsm), 'mdp': (MdpState, Mdp), 'mc': (McState, MarkovChain),\n                       'smm': (StochasticMealyState, StochasticMealyMachine), 'sevpa': (SevpaState, Sevpa),\n                       'vpa': (VpaState, Vpa), 'ndmoore': (NDMooreState, NDMooreMachine)}\n\n    nodeType, aut_type = id_node_aut_map[automaton_type]\n\n    initial_state = None\n    transition_data = []\n\n    node_label_dict = dict()\n\n    with open(Path(path)) as f:\n        for line in f.readlines():\n            line = line.strip()\n            if '__start0 ->' in line:\n                match = re.search(starting_state_pattern, line)\n                initial_state = match.group(1).strip()\n            # State definitions\n            elif '__start0' not in line and 'label' in line and '->' not in line:\n                state_id = line.split('[')[0].strip()\n                match = re.search(label_pattern, line)\n                label = _strip_label(match.group(1))\n                _process_node_label_prime(state_id, label, line, node_label_dict, nodeType, automaton_type)\n            # transitions\n            elif '->' in line:\n                match = re.match(transition_pattern, line)\n                # source, destination, label\n                label = re.search(label_pattern, match.group(3)).group(1)\n                transition_data.append((match.group(1).strip(), match.group(2).strip(), label))\n\n    # ensure initial state is defined and it is defined states\n    assert initial_state is not None and initial_state in node_label_dict.keys()\n    initial_state = node_label_dict[initial_state]\n\n    for source, destination, transition_label in transition_data:\n        label = _strip_label(transition_label)\n        _process_label(label, node_label_dict[source], node_label_dict[destination], automaton_type)\n\n    automaton = aut_type(initial_state, list(node_label_dict.values()))\n    if automaton_type not in {'mc', 'sevpa', 'vpa'} and not automaton.is_input_complete():\n        print('Warning: Loaded automaton is not input complete.')\n    if compute_prefixes and not automaton_type not in {'mc', 'sevpa', 'vpa'}:\n        for state in automaton.states:\n            state.prefix = automaton.get_shortest_path(automaton.initial_state, state)\n    return automaton\n"
  },
  {
    "path": "aalpy/utils/HelperFunctions.py",
    "content": "import random\nimport string\nfrom itertools import product\nfrom collections import defaultdict\n\nfrom aalpy import Mdp, MarkovChain, McState, MooreMachine, Dfa, DfaState\n\n\ndef extend_set(list_to_extend: list, new_elements: list) -> list:\n    \"\"\"\n    Helper function to extend a list while maintaining set property.\n    They are stored as lists, so with this function set property is maintained.\n    :return\n\n    Returns:\n\n        list of elements that were added to the set\n\n    \"\"\"\n    set_repr = set(list_to_extend)\n    added_elements = [s for s in new_elements if s not in set_repr]\n    list_to_extend.extend(added_elements)\n    return added_elements\n\n\ndef all_prefixes(li):\n    \"\"\"\n    Returns all prefixes of a list.\n\n    Args:\n      li: list from which to compute all prefixes\n\n    Returns:\n      list of all prefixes\n\n    \"\"\"\n    return [tuple(li[:i + 1]) for i in range(len(li))]\n\n\ndef all_suffixes(li):\n    \"\"\"\n    Returns all suffixes of a list.\n\n    Args:\n      li: list from which to compute all suffixes\n\n    Returns:\n      list of all suffixes\n\n    \"\"\"\n    return [tuple(li[len(li) - i - 1:]) for i in range(len(li))]\n\n\ndef profile_function(function: callable, sort_key='cumtime'):\n    \"\"\"\n\n    Args:\n      function: callable: \n      sort_key:  (Default value = 'cumtime')\n\n    Returns:\n        prints the profiling results\n    \"\"\"\n    import cProfile\n    pr = cProfile.Profile()\n    pr.enable()\n    function()\n    pr.disable()\n    pr.print_stats(sort=sort_key)\n\n\ndef random_string_generator(size=10, chars=string.ascii_lowercase + string.digits):\n    \"\"\"\n\n    Args:\n\n      size:  (Default value = 10)\n      chars:  (Default value = string.ascii_lowercase + string.digits)\n\n    Returns:\n\n        a random string of length size\n    \"\"\"\n    import random\n    return ''.join(random.choice(chars) for _ in range(size))\n\n\ndef print_learning_info(info: dict):\n    \"\"\"\n    Print learning statistics.\n    \"\"\"\n    print('-----------------------------------')\n    print('Learning Finished.')\n    print('Learning Rounds:  {}'.format(info['learning_rounds']))\n    print('Number of states: {}'.format(info['automaton_size']))\n    if 'rebuild_states' in info.keys():\n        print(' # Found by Rebuilding: {}'.format(info['rebuild_states']))\n    if 'matching_states' in info.keys():\n        print(' # Found by {} State Matching: {}'.format(info['matching_type'], info['matching_states']))\n    print('Time (in seconds)')\n    print('  Total                : {}'.format(info['total_time']))\n    print('  Learning algorithm   : {}'.format(info['learning_time']))\n    print('  Conformance checking : {}'.format(info['eq_oracle_time']))\n    print('Learning Algorithm')\n    print(' # Membership Queries  : {}'.format(info['queries_learning']))\n    if 'cache_saved' in info.keys():\n        print(' # MQ Saved by Caching : {}'.format(info['cache_saved']))\n    print(' # Steps               : {}'.format(info['steps_learning']))\n    print('Equivalence Query')\n    print(' # Membership Queries  : {}'.format(info['queries_eq_oracle']))\n    print(' # Steps               : {}'.format(info['steps_eq_oracle']))\n    print('-----------------------------------')\n\n\ndef print_observation_table(ot, table_type):\n    \"\"\"\n    Prints the whole observation table.\n\n    Args:\n\n        ot: observation table\n        table_type: 'det', 'non-det', or 'stoc'\n\n    \"\"\"\n    if table_type == 'det':\n        s_set, extended_s, e_set, table = ot.S, ot.s_dot_a(), ot.E, ot.T\n    elif table_type == 'non-det':\n        s_set, extended_s, e_set = ot.S, ot.get_extended_S(), ot.E\n        table = ot.sul.cache.get_table(s_set + extended_s, e_set)\n    elif table_type == 'abstracted-non-det':\n        s_set, extended_s, e_set, table = ot.S, ot.S_dot_A, ot.E, ot.T\n    else:\n        s_set, extended_s, e_set, table = ot.S, ot.get_extended_s(), ot.E, ot.T\n\n    headers = [str(e) for e in e_set]\n    s_rows = []\n    extended_rows = []\n    headers.insert(0, 'Prefixes / E set')\n    for s in s_set:\n        row = [str(s)]\n        if table_type == 'det':\n            row.extend(str(e) for e in table[s])\n        else:\n            row.extend(str(table[s][e]) for e in e_set)\n        s_rows.append(row)\n    for s in extended_s:\n        row = [str(s)]\n        if table_type == 'det':\n            row.extend(str(e) for e in table[s])\n        else:\n            row.extend(str(table[s][e]) for e in e_set)\n        extended_rows.append(row)\n\n    table = [headers] + s_rows\n    columns = defaultdict(int)\n    for i in table + extended_rows:\n        for index, el in enumerate(i):\n            columns[index] = max(columns[index], len(el))\n\n    row_len = 0\n    for row in table:\n        row = \"|\".join(element.ljust(columns[ind] + 1) for ind, element in enumerate(row))\n        print(\"-\" * len(row))\n        row_len = len(row)\n        print(row)\n    print('=' * row_len)\n    for row in extended_rows:\n        row = \"|\".join(element.ljust(columns[ind] + 1) for ind, element in enumerate(row))\n        print(\"-\" * len(row))\n        print(row)\n    print('-' * row_len)\n\n\ndef is_suffix_of(suffix, trace) -> bool:\n    \"\"\"\n\n    Args:\n      suffix: target suffix\n      trace: trace in question\n\n    Returns:\n\n        True if suffix is the suffix of trace.\n    \"\"\"\n    if len(trace) < len(suffix):\n        return False\n    else:\n        return trace[-len(suffix):] == suffix\n\n\ndef get_cex_prefixes(cex, automaton_type):\n    \"\"\"\n    Returns all prefixes of the stochastic automaton.\n\n    Args:\n        cex: counterexample\n        automaton_type: `mdp` or `smm`\n\n    Returns:\n\n        all prefixes of the counterexample based on the `automaton_type`\n    \"\"\"\n    if automaton_type == 'mdp':\n        return [tuple(cex[:i + 1]) for i in range(0, len(cex), 2)]\n    return [tuple(cex[:i]) for i in range(0, len(cex) + 1, 2)]\n\n\ndef get_available_oracles_and_err_msg():\n    from aalpy.oracles import RandomWalkEqOracle\n    from aalpy.oracles import RandomWordEqOracle\n    available_oracles = {RandomWalkEqOracle, RandomWordEqOracle}\n\n    available_oracles_msg = 'Warning! Only Random Walk and Random Word oracles are supported for non-deterministic and ' \\\n                            'stochastic learning. If you have implemented the custom oracle, set the custom_oracle ' \\\n                            'flag to True. '\n\n    return available_oracles, available_oracles_msg\n\n\ndef make_input_complete(automaton, missing_transition_go_to='self_loop'):\n    \"\"\"\n    Makes the automaton input complete/enabled. If a input is not defined in a state, it will lead to the self loop.\n    In case of Mealy Machines, Stochastic Mealy machines and ONFSM 'epsilon' is used as output.\n    Self loop simply loops the transition back to state which was not input complete,\n    whereas 'sink_state' leads all transitions to a newly added sink state. If transitions have output\n    (Mealy machines and their derivatives), 'epsilon' is used as an output value. If a state has an output value,\n    it is either False (in case of DFA) or 'sink_state' in case of Moore machines and its derivatives.\n\n    Args:\n\n        automaton: automaton that is potentially not input complete\n        missing_transition_go_to: either 'self_loop' or 'sink_state'.\n\n    Returns:\n\n        an input complete automaton\n    \"\"\"\n    from aalpy.base import DeterministicAutomaton\n    from aalpy.automata import Dfa, MooreState, MealyMachine, Mdp, StochasticMealyMachine, Onfsm, \\\n        DfaState, MealyState, MooreMachine, OnfsmState, MdpState, StochasticMealyState, NDMooreMachine, NDMooreState\n\n    assert missing_transition_go_to in {'self_loop', 'sink_state'}\n\n    input_al = automaton.get_input_alphabet()\n\n    if automaton.is_input_complete():\n        return automaton\n\n    sink_state = None\n    sink_state_type_dict = {Dfa: DfaState(state_id='sink', is_accepting=False),\n                            MooreMachine: MooreState(state_id='sink', output='sink_state'),\n                            MealyMachine: MealyState(state_id='sink'),\n                            Onfsm: OnfsmState(state_id='sink'),\n                            NDMooreMachine: NDMooreState(state_id='sink'),\n                            Mdp: MdpState(state_id='sink', output='sink_state'),\n                            StochasticMealyMachine: StochasticMealyState(state_id='sink')}\n\n    if missing_transition_go_to == 'sink_state':\n        sink_state = sink_state_type_dict[automaton.__class__]\n        automaton.states.append(sink_state)\n\n    for state in automaton.states:\n        for i in input_al:\n            if i not in state.transitions.keys():\n                target_state = state if missing_transition_go_to == 'self_loop' else sink_state\n\n                if isinstance(automaton, (DeterministicAutomaton, Dfa, MooreMachine, MealyMachine)):\n                    state.transitions[i] = target_state\n                    if isinstance(automaton, MealyMachine):\n                        state.output_fun[i] = 'epsilon'\n                elif isinstance(automaton, (Onfsm, NDMooreMachine)):\n                    state.transitions[i].append(('epsilon', target_state) if\n                                                isinstance(automaton, Onfsm) else target_state)\n                elif isinstance(automaton, Mdp):\n                    state.transitions[i].append((target_state, 1.))\n                elif isinstance(automaton, StochasticMealyMachine):\n                    state.transitions[i].append((target_state, 'epsilon', 1.))\n\n    return automaton\n\n\ndef convert_i_o_traces_for_RPNI(sequences, automaton_type=\"mealy\"):\n    \"\"\"\n    Converts a list of input-output sequences to RPNI format.\n    Eg. [[(1,'a'), (2,'b'), (3,'c')], [(6,'7'), (4,'e'), (3,'c')]] to\n    [((1,), 'a'), ((1, 2), 'b'), ((1, 2, 3), 'c'), ((6,), '7'), ((6, 4), 'e'), ((6, 4, 3), 'c')]\n    \"\"\"\n    rpni_sequences = []\n    seen = set()\n\n    if automaton_type not in [\"mealy\", \"moore\", \"dfa\"]:\n        raise ValueError()\n\n    for s in sequences:\n        if automaton_type in [\"moore\", \"dfa\"]:\n            key = (tuple(), s[0])\n            if key not in seen:\n                seen.add(key)\n                rpni_sequences.append(key)\n            s = s[1:]\n\n        for i in range(len(s)):\n            inputs = tuple([io[0] for io in s[:i + 1]])\n            key = (inputs, s[i][1])\n            if key not in seen:\n                seen.add(key)\n                rpni_sequences.append(key)\n\n    return rpni_sequences\n\n\ndef visualize_classification_tree(root_node):\n    from pydot import Dot, Node, Edge\n\n    graph = Dot('classification_tree', graph_type='digraph')\n    root_node_dot = Node(id(root_node), shape='box',\n                         label=f'Distinguishing String:\\n{root_node.distinguishing_string}')\n    graph.add_node(root_node_dot)\n\n    queue = [(root_node, root_node_dot)]\n\n    while queue:\n        origin_node, origin_node_dot = queue.pop(0)\n\n        for key, child in origin_node.children.items():\n            if child.is_leaf():\n                destination_dot = Node(id(child), label=f'Access String:\\n{child.access_string}')\n            else:\n                destination_dot = Node(id(child), shape='box',\n                                       label=f'Distinguishing String:\\n{child.distinguishing_string}')\n                queue.append((child, destination_dot))\n            graph.add_node(destination_dot)\n            graph.add_edge(Edge(origin_node_dot, destination_dot, label=key))\n\n    # print(graph.to_string())\n    graph.write(path='classification_tree.pdf', format='pdf')\n\n\ndef is_balanced(input_seq, vpa_alphabet):\n    counter = 0\n    for i in input_seq:\n        if i in vpa_alphabet.call_alphabet:\n            counter += 1\n        if i in vpa_alphabet.return_alphabet:\n            counter -= 1\n        if counter < 0:\n            return False\n    return counter == 0\n\n\ndef generate_input_output_data_from_automata(model, num_sequences=4000, min_seq_len=1, max_seq_len=16,\n                                             sequance_type='io_traces'):\n    assert sequance_type in {'io_traces', 'labeled_sequences'}\n\n    alphabet = model.get_input_alphabet()\n    dataset = []\n\n    while len(dataset) < num_sequences:\n        sequance = []\n        for _ in range(random.randint(min_seq_len, max_seq_len)):\n            sequance.append(random.choice(alphabet))\n\n        model.reset_to_initial()\n        outputs = model.execute_sequence(model.initial_state, sequance)\n\n        if sequance_type == 'io_traces':\n            dataset.append(list(zip(sequance, outputs)))\n        else:\n            dataset.append((sequance, outputs[-1]))\n\n    return dataset\n\n\ndef generate_input_output_data_from_vpa(vpa, num_sequences=1000, max_seq_len=16, max_attempts=None):\n    alphabet = vpa.input_alphabet.get_merged_alphabet()\n    data_set, in_set = [], set()\n\n    num_nominal_tries = num_sequences // 2\n    num_generation_attempts = 0\n\n    max_attempts = max_attempts if max_attempts is not None else num_sequences * 50\n\n    while len(data_set) < num_sequences:\n        num_generation_attempts += 1\n        # it can happen that it is not possible to generate num_sequences balanced words of lenght <= max_seq_len\n        if num_generation_attempts == max_attempts:\n            break\n\n        sequance = ()\n\n        vpa.reset_to_initial()\n\n        for _ in range(max_seq_len):\n            if num_generation_attempts <= num_nominal_tries:\n                possible_transitions = list(vpa.current_state.transitions.keys())\n                if not possible_transitions:\n                    break\n                chosen_input = random.choice(possible_transitions)\n            else:\n                chosen_input = random.choice(alphabet)\n            sequance += (chosen_input,)\n\n            output = vpa.step(chosen_input)\n\n            # not elegant, but preserves order\n            data_point = (sequance, output)\n            if data_point not in in_set:\n                data_set.append(data_point)\n                in_set.add(data_point)\n\n    return data_set\n\n\ndef product_with_possible_empty_iterable(*iterables, repeat=1):\n    \"\"\"\n    Words like regular product, but if one of the iterables is empty it will just ignore it, instead of returning [].\n    \"\"\"\n    non_empty_iterables = [it for it in iterables if it]\n    return product(*non_empty_iterables, repeat=repeat)\n\n\ndef dfa_from_moore(moore_model: MooreMachine) -> Dfa:\n    dfa_state_map = dict()\n    # define states\n    for moore_state in moore_model.states:\n        if moore_state.output not in {True, False, None}:\n            raise ValueError('Cannot convert Moore model with unrestricted output domain to DFA. '\n                             f'Output domain should be {True, False, None}. Problematic output: {moore_state.output}'\n                             )\n\n        is_accepting = moore_state.output if moore_state.output is not None else False\n        dfa_state_map[moore_state.state_id] = DfaState(moore_state.state_id, is_accepting)\n\n    # define transitions\n    for moore_state in moore_model.states:\n        for i, reached_state in moore_state.transitions.items():\n            dfa_state_map[moore_state.state_id].transitions[i] = dfa_state_map[reached_state.state_id]\n\n    initial_state = dfa_state_map[moore_model.initial_state.state_id]\n    return Dfa(initial_state, list(dfa_state_map.values()))\n\ndef mc_from_mdp(mdp: Mdp, input_symbol=None) -> MarkovChain:\n    alphabet = mdp.get_input_alphabet()\n    if len(alphabet) != 1 and input_symbol is None:\n        raise ValueError('Cannot convert MDP with several inputs to Markov chain.')\n    input_symbol = input_symbol or alphabet[0]\n\n    state_map = {state.state_id: McState(state.state_id, state.output) for state in mdp.states}\n    for state in mdp.states:\n        mdp_transitions = state.transitions.get(input_symbol)\n        if mdp_transitions is None:\n            continue\n        mc_transitions = [(state_map[mdp_target.state_id], prob) for mdp_target, prob in mdp_transitions]\n        state_map[state.state_id].transitions = mc_transitions\n\n    initial_state = state_map[mdp.initial_state.state_id]\n    return MarkovChain(initial_state, list(state_map.values()))\n\ndef mc_format_to_mdp(data):\n    # a hack to learn MC's with GSM -> treat them as MDP with a single input\n    augmented_data = []\n    for sequence in data:\n        new_sequence = [sequence[0]]\n        for item in sequence[1:]:\n            new_sequence.append(('Input', item))\n        augmented_data.append(new_sequence)\n    return augmented_data"
  },
  {
    "path": "aalpy/utils/ModelChecking.py",
    "content": "import itertools as it\nimport os\nimport re\nfrom collections import defaultdict\nfrom queue import Queue\nfrom random import choices\nfrom typing import Tuple, Union\n\nimport aalpy.paths\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.automata import Mdp, StochasticMealyMachine, MealyMachine, Dfa, MooreMachine, MooreState, MealyState, \\\n    DfaState\nfrom aalpy.base import DeterministicAutomaton, SUL, AutomatonState\n\nprism_prob_output_regex = re.compile(\"Result: (\\d+\\.\\d+)\")\n\n\ndef get_properties_file(exp_name):\n    property_files = {\n        'first_grid': aalpy.paths.path_to_properties + 'first_eval.props',\n        'second_grid': aalpy.paths.path_to_properties + 'second_eval.props',\n        'shared_coin': aalpy.paths.path_to_properties + 'shared_coin_eval.props',\n        'slot_machine': aalpy.paths.path_to_properties + 'slot_machine_eval.props',\n        'mqtt': aalpy.paths.path_to_properties + 'emqtt_two_client.props',\n        'tcp': aalpy.paths.path_to_properties + 'tcp_eval.props',\n        'bluetooth': aalpy.paths.path_to_properties + 'bluetooth.props',\n    }\n    return property_files[exp_name]\n\n\ndef get_correct_prop_values(exp_name):\n    correct_model_properties = {\n        'first_grid': {'prob1': 0.96217534, 'prob2': 0.6499274956800001, 'prob3': 0.6911765746880001},\n        'second_grid': {'prob1': 0.93480795088125, 'prob2': 0.6711947700000002, 'prob3': 0.9742903305241055,\n                        'prob4': 0.14244219329051103},\n        'shared_coin': {'prob1': 0.10694382182657244, 'prob2': 0.5555528623795738, 'prob3': 0.3333324384052837,\n                        'prob4': 0.42857002816478273, 'prob5': 0.001708984375, 'prob6': 0.266845703125,\n                        'prob7': 0.244384765625, 'prob8': 0.263427734375},\n        'slot_machine': {'prob1': 0.36380049887344645, 'prob2': 0.6445910164135946, 'prob3': 1.0, 'prob4': 0.159,\n                         'prob5': 0.28567, 'prob6': 0.2500000000000001, 'prob7': 0.025445087448668406},\n        'mqtt': {'prob1': 0.9612, 'prob2': 0.34390000000000004, 'prob3': 0.6513215599000001, 'prob4': 0.814697981114816,\n                 'prob5': 0.7290000000000001},\n        'tcp': {'prob1': 0.19, 'prob2': 0.5695327900000001, 'prob3': 0.7712320754503901, 'prob4': 0.8784233454094308},\n        'bluetooth': {'prop1': 0.16800000000000004, 'prop2': 0.3926480000000001, 'prop3': 0.5572338000000001,\n                      'prop4': 0.6772233874640001, 'prop5': 0.7646958490393682, 'prop6': 0.8284632739463244,\n                      'prop7': 0.36000000000000004, 'prop8': 0.5904, 'prop9': 0.7902848,\n                      'prop10': 0.8926258176000001, 'prop11': 0.9450244186112, 'prop12': 0.9718525023289344,\n                      'prop13': 0.9855884811924145}\n    }\n    return list(correct_model_properties[exp_name].values())\n\n\ndef _target_string(target, orig_id_to_int_id):\n    target_state = target[0]\n    target_prob = target[1]\n    target_id = orig_id_to_int_id[target_state.state_id]\n    return f\"{target_prob} : (loc'={target_id})\"\n\n\ndef _sanitize_for_prism(symbol):\n    if symbol in [\"mdp\", \"init\", \"module\", \"endmodule\", \"label\"]:\n        return \"___\" + symbol + \"___\"\n    else:\n        return symbol\n\n\ndef mdp_2_prism_format(mdp: Mdp, name: str, output_path=None):\n    \"\"\"\n    Translates MDP to Prims modelling language.\n\n    Args:\n\n        mdp: markov decision process\n\n        name: name of the mdp/experiment\n\n        output_path: output file (Default value = None)\n\n    \"\"\"\n    module_string = \"mdp\"\n    module_string += os.linesep\n    module_string += f\"module {name}\"\n    module_string += os.linesep\n\n    nr_states = len(mdp.states)\n    orig_id_to_int_id = dict()\n    for i, s in enumerate(mdp.states):\n        orig_id_to_int_id[s.state_id] = i\n    module_string += \"loc : [0..{}] init {};\".format(nr_states, orig_id_to_int_id[mdp.initial_state.state_id])\n    module_string += os.linesep\n\n    # print transitions\n    for source in mdp.states:\n        source_id = orig_id_to_int_id[source.state_id]\n        for inp in source.transitions.keys():\n            if source.transitions[inp]:\n                target_strings = \\\n                    map(lambda target: _target_string(target, orig_id_to_int_id), source.transitions[inp])\n                target_joined = \" + \".join(target_strings)\n                module_string += f\"[{_sanitize_for_prism(inp)}] loc={source_id} -> {os.linesep} {target_joined};\"\n                module_string += os.linesep\n    module_string += \"endmodule\"\n    module_string += os.linesep\n    # labelling function\n    output_to_state_id = defaultdict(list)\n    for s in mdp.states:\n        joined_output = s.output\n        outputs = joined_output.split(\"__\")\n        for o in outputs:\n            if o:\n                output_to_state_id[o].append(orig_id_to_int_id[s.state_id])\n\n    for output, states in output_to_state_id.items():\n        state_propositions = map(lambda s_id: \"loc={}\".format(s_id), states)\n        state_disjunction = \"|\".join(state_propositions)\n        output_string = _sanitize_for_prism(output)\n        module_string += f\"label \\\"{output_string}\\\" = {state_disjunction};\"\n        module_string += os.linesep\n\n    if output_path:\n        with open(output_path, \"w\") as text_file:\n            text_file.write(module_string)\n    return module_string\n\n\ndef evaluate_all_properties(prism_file_name, properties_file_name):\n    import subprocess\n    import io\n    from os import path\n\n    prism_file = aalpy.paths.path_to_prism.split('/')[-1]\n    path_to_prism_file = aalpy.paths.path_to_prism[:-len(prism_file)]\n\n    file_abs_path = path.abspath(prism_file_name)\n    properties_als_path = path.abspath(properties_file_name)\n    results = {}\n    proc = subprocess.Popen(\n        [aalpy.paths.path_to_prism, file_abs_path, properties_als_path],\n        stdout=subprocess.PIPE, stderr=subprocess.STDOUT, cwd=path_to_prism_file)\n    for line in io.TextIOWrapper(proc.stdout, encoding=\"utf-8\"):\n        if not line:\n            break\n        else:\n            match = prism_prob_output_regex.match(line)\n            if match:\n                results[f'prop{len(results) + 1}'] = float(match.group(1))\n    proc.kill()\n    return results\n\n\ndef model_check_properties(model: Mdp, properties: str):\n    \"\"\"\n\n    Args:\n        model: Markov Decision Process that serves as a basis for model checking.\n        properties: Properties file. It should point to a file under the path_to_properties folder.\n\n    Returns:\n\n        results of model checking\n    \"\"\"\n    from os import remove\n    from aalpy.utils import mdp_2_prism_format\n    mdp_2_prism_format(mdp=model, name='mc_exp', output_path=f'mc_exp.prism')\n\n    prism_model_path = f'mc_exp.prism'\n\n    data = evaluate_all_properties(prism_model_path, properties)\n\n    remove(prism_model_path)\n\n    return data\n\n\ndef model_check_experiment(path_to_properties, correct_prop_values, mdp, precision=4):\n    \"\"\"\n    For our stochastic experiments you can use this function.\n    For example, check learn_stochastic_system_and_do_model_checking in Examples.py\n\n    Args:\n        path_to_properties: path to the properties file\n        correct_prop_values: correct values of all properties. In list, where property at index i corresponds to the\n            i-th element of the list.\n        mdp: MDP\n        precision: precision to which round up results\n\n    Returns:\n\n        results of model checking and absolute differance to the correct results\n    \"\"\"\n    model_checking_results = model_check_properties(mdp, path_to_properties)\n\n    diff_2_correct = dict()\n    for ind, val in enumerate(model_checking_results.values()):\n        diff_2_correct[f'prop{ind + 1}'] = round(abs(correct_prop_values[ind] - val), precision)\n\n    results = {key: round(val, precision) for key, val in model_checking_results.items()}\n    return results, diff_2_correct\n\n\ndef stop_based_on_confidence(hypothesis, property_based_stopping, print_level=2):\n    \"\"\"\n\n    Args:\n\n        hypothesis: Markov decision process\n        property_based_stopping: a tuple (path to properties file, list of correct property values, max allowed error)\n        print_level: 2 or 3 if output of model checking is to be printed during learning\n\n    Returns:\n\n        True if absolute error for all properties is smaller then property_based_stopping[2]\n    \"\"\"\n    from aalpy.automata.StochasticMealyMachine import smm_to_mdp_conversion\n\n    path_2_prop = property_based_stopping[0]\n    correct_values = property_based_stopping[1]\n    error_bound = property_based_stopping[2]\n\n    model = hypothesis\n    if isinstance(hypothesis, StochasticMealyMachine):\n        model = smm_to_mdp_conversion(hypothesis)\n\n    res, diff = model_check_experiment(path_2_prop, correct_values, model)\n\n    if print_level >= 2:\n        print('Error for each property:', [round(d * 100, 2) for d in diff.values()])\n    if not diff:\n        return False\n\n    for d in diff.values():\n        if d > error_bound:\n            return False\n\n    return True\n\n\ndef bisimilar(a1: DeterministicAutomaton, a2: DeterministicAutomaton, return_cex=False) -> Union[bool, None, tuple]:\n    \"\"\"\n    Checks whether the provided automata are bisimilar.\n    If return_cex the function returns a counter example or None, otherwise a Boolean is returned.\n\n    Returns:\n        object: true or false if return_cex is set to False, otherwise None (no counterexample) or a counterexample\n    \"\"\"\n\n    # TODO allow states as inputs instead of automata\n    if a1.__class__ != a2.__class__:\n        raise ValueError(\"tried to check bisimilarity of different automaton types\")\n    # if you use this function with the same object (does not make sense anyway)\n    if a1 is a2:\n        a2 = a1.copy()\n\n    supported_automaton_types = (Dfa, MooreMachine, MealyMachine)\n    if not isinstance(a1, supported_automaton_types):\n        raise NotImplementedError(\n            f\"bisimilarity is not implemented for {a1.__class__.__name__}. Supported: {', '.join(t.__name__ for t in supported_automaton_types)}\")\n\n    to_check: Queue[Tuple[AutomatonState, AutomatonState]] = Queue()\n    to_check.put((a1.initial_state, a2.initial_state))\n    requirements = dict()\n    requirements[(a1.initial_state, a2.initial_state)] = ()\n\n    while not to_check.empty():\n        s1, s2 = to_check.get()\n\n        # check output equivalence for Dfa / Moore\n        if isinstance(s1, (DfaState, MooreState)) and s1.output != s2.output:\n            return requirements[(s1, s2)] if return_cex else False\n\n        # check whether the same inputs are enabled + output equivalence for Mealy\n        t1, t2 = s1.transitions, s2.transitions\n        for t in it.chain(t1.keys(), filter(lambda x : x not in t1.keys(), t2.keys())):\n            common = t in t1.keys() and t in t2.keys()\n            if (not common) or (isinstance(s1, MealyState) and s1.output_fun[t] != s2.output_fun[t]) :\n                return requirements[(s1, s2)] + (t,) if return_cex else False\n\n        for t in t1.keys():\n            c1, c2 = t1[t], t2[t]\n            if (c1, c2) not in requirements:\n                requirements[(c1, c2)] = requirements[(s1, s2)] + (t,)\n                to_check.put((c1, c2))\n\n    return None if return_cex else True\n\n\ndef compare_automata(aut_1: DeterministicAutomaton, aut_2: DeterministicAutomaton, num_cex=10):\n    \"\"\"\n    Finds cases of non-conformance between first and second automaton. This is done by performing RandomW equivalence\n    check. It is possible that number of found counterexamples is smaller than num_cex, as no counterexample will be a\n    suffix of a previously found counterexample.\n\n    Args:\n\n        aut_1: first automaton\n\n        aut_2: second automaton\n\n        num_cex: max. number of searches for counterexamples\n\n    Returns:\n\n        A list of input sequences that revel different behaviour on both automata. Counterexamples are sorted by length.\n    \"\"\"\n    #\n    from aalpy.oracles import RandomWMethodEqOracle\n    # if you use this function with the same object (does not make sense anyway)\n    if aut_1 is aut_2:\n        aut_2 = aut_1.copy()\n\n    if set(aut_1.get_input_alphabet()) != set(aut_2.get_input_alphabet()):\n        assert False, \"Cannot compare automata with different input alphabets\"\n\n    input_al = aut_1.get_input_alphabet()\n    # larger automaton is used as hypothesis, as then test-cases will contain prefixes leading to states\n    # not in smaller automaton\n    base_automaton, test_automaton = (aut_1, aut_2) if aut_1.size < aut_2.size else (aut_2, aut_1)\n    base_sul = AutomatonSUL(base_automaton)\n\n    # compute prefixes for all states of the test automaton (needed for advanced eq. oracle)\n    for state in test_automaton.states:\n        if not state.prefix:\n            state.prefix = test_automaton.get_shortest_path(test_automaton.initial_state, state)\n\n    # setup  the eq oracle\n    eq_oracle = RandomWMethodEqOracle(input_al, base_sul, walks_per_state=min(100, len(input_al) * 10), walk_len=10)\n\n    found_cex = []\n    # to avoid near \"infinite\" loops due to while loop and set requirement\n    # that is, if you can only find 1 cex and all other cexs are suffixes of that cex, first while condition will never\n    # be reached\n    failsafe_counter = 0\n    failsafe_stopping = num_cex * 100\n    while len(found_cex) < num_cex and failsafe_counter < failsafe_stopping:\n        cex = eq_oracle.find_cex(test_automaton)\n        # if no counterexample can be found terminate the loop\n        if cex is None:\n            break\n        if cex not in found_cex:\n            found_cex.append(cex)\n        failsafe_counter += 1\n\n    found_cex.sort(key=len)\n\n    return found_cex\n\n\nclass TestCaseWrapperSUL(SUL):\n    def __init__(self, sul):\n        super().__init__()\n        self.sul = sul\n        self.test_cases = []\n        self.test_case_inputs = None\n        self.test_case_outputs = None\n\n    def pre(self):\n        self.test_case_inputs = []\n        self.test_case_outputs = []\n        return self.sul.pre()\n\n    def post(self):\n        if self.test_case_inputs and self.test_case_outputs:\n            self.test_cases.append((tuple(self.test_case_inputs), tuple(self.test_case_outputs)))\n        return self.sul.post()\n\n    def step(self, letter):\n        output = self.sul.step(letter)\n        self.test_case_inputs.append(letter)\n        self.test_case_outputs.append(output)\n        return output\n\n\ndef generate_test_cases(automaton: DeterministicAutomaton, oracle):\n    \"\"\"\n    Uses parametrized eq. oracle to construct test cases on the automaton.\n    If automaton are big (200+ states), increase recursion depth if necessary (eg. sys.setrecursionlimit(10000)).\n\n    Args:\n\n        automaton: deterministic automaton that serves as a basis for test case generation\n        oracle: oracle that will construct test-cases and record inputs and outputs\n\n    Returns:\n\n        List of test cases, where each testcase is a tuple containing two elements, and input and an output sequance.\n    \"\"\"\n    from copy import deepcopy\n\n    automaton_copy = deepcopy(automaton)\n    base_sul = AutomatonSUL(automaton_copy)\n\n    wrapped_sul = TestCaseWrapperSUL(base_sul)\n    oracle.sul = wrapped_sul\n    # no counterexamples can be found\n    cex = oracle.find_cex(automaton)\n    assert cex is None\n    return wrapped_sul.test_cases\n\n\ndef statistical_model_checking(model, goals, max_num_steps, num_tests=105967):\n    \"\"\"\n\n\n    Args:\n        model: model on which model checking is performed\n        goals: set of goal outputs\n        max_num_steps: bounded length of tests\n        num_tests: num of tests that will be performed\n\n    Returns:\n\n        num of tests containing element of goals set / num_tests\n    \"\"\"\n\n    def compute_output_sequence(model, seq):\n        model.reset_to_initial()\n        observed_outputs = {model.step(i) for i in seq}\n        return observed_outputs\n\n    goal_reached = 0\n    inputs = model.get_input_alphabet()\n    for _ in range(num_tests):\n        test_sequence = choices(inputs, k=max_num_steps)\n        outputs = compute_output_sequence(model, test_sequence)\n        if goals & outputs:\n            goal_reached += 1\n\n    return goal_reached / num_tests\n"
  },
  {
    "path": "aalpy/utils/Sampling.py",
    "content": "from functools import wraps\nfrom random import randint, choices, random\n\nfrom aalpy import MooreMachine, Dfa, NDMooreMachine, Mdp, MarkovChain\nfrom aalpy.base import Automaton, DeterministicAutomaton\n\ndef get_io_traces(automaton: Automaton, input_traces: list) -> list:\n    moore_automata = (MooreMachine, Dfa, NDMooreMachine, Mdp, MarkovChain)\n    is_moore = isinstance(automaton, moore_automata)\n\n    traces = []\n    for input_trace in input_traces:\n        output_trace = automaton.execute_sequence(automaton.initial_state, input_trace)\n        trace = list(zip(input_trace, output_trace))\n        if is_moore:\n            trace = [automaton.initial_state.output] + trace\n        traces.append(trace)\n    return traces\n\n\ndef get_labeled_sequences(automaton: Automaton, input_traces: list) -> list:\n    moore_automata = (MooreMachine, Dfa, NDMooreMachine, Mdp, MarkovChain)\n    is_moore = isinstance(automaton, moore_automata)\n\n    data = []\n    for input_trace in input_traces:\n        if len(input_trace) == 0:\n            if not is_moore:\n                raise ValueError(\"tried to get label of empty sequence for Mealy automaton.\")\n            output = automaton.initial_state.output\n        else:\n            output = automaton.execute_sequence(automaton.initial_state, input_trace)[-1]\n        data.append((input_trace, output))\n    return data\n\n\ndef get_data_from_input_sequence(automaton: Automaton, input_sequence: list, data_format: str = \"io_sequences\"):\n    if data_format == \"io_sequences\":\n        return get_io_traces(automaton, input_sequence)\n    elif data_format == \"labeled_sequences\":\n        return get_labeled_sequences(automaton, input_sequence)\n    else:\n        raise ValueError(f\"invalid data_format {data_format}. must be 'io_sequences' or 'labeled_sequences'\")\n\n\ndef support_automaton_arg(require_transform):\n    def decorator(f):\n        @wraps(f)\n        def inner(alphabet, *args, include_outputs=False, **kwargs):\n            automaton = None\n            if isinstance(alphabet, Automaton):\n                automaton = alphabet\n                if require_transform:\n                    alphabet = alphabet.get_input_alphabet()\n            traces = f(alphabet, *args, **kwargs)\n            if include_outputs:\n                if automaton is None:\n                    raise ValueError(\"automaton must be provided\")\n                traces = get_io_traces(automaton, traces)\n            return traces\n        return inner\n    return decorator\n\n\n@support_automaton_arg(True)\ndef sample_with_length_limits(alphabet, nr_samples, min_len, max_len):\n    return [choices(alphabet, k = randint(min_len, max_len)) for _ in range(nr_samples)]\n\n\n@support_automaton_arg(True)\ndef sample_with_term_prob(alphabet, nr_samples, term_prob):\n    ret = []\n    for _ in range(nr_samples):\n        k = 0\n        while term_prob < random():\n            k += 1\n        ret.append(choices(alphabet, k=k))\n    return ret\n\n\n@support_automaton_arg(False)\ndef get_complete_sample(automaton: DeterministicAutomaton):\n    alphabet = automaton.get_input_alphabet()\n    automaton.compute_prefixes()\n    char_set = automaton.compute_characterization_set()\n    infixes = [(x,) for x in alphabet] + [tuple()]\n    return [state.prefix + infix + suffix for state in automaton.states for suffix in char_set for infix in infixes]\n"
  },
  {
    "path": "aalpy/utils/__init__.py",
    "content": "from .AutomatonGenerators import (\n    generate_random_dfa,\n    generate_random_mealy_machine,\n    generate_random_smm,\n    generate_random_moore_machine,\n    generate_random_markov_chain,\n    generate_random_deterministic_automata,\n)\nfrom .AutomatonGenerators import (\n    generate_random_mdp,\n    generate_random_ONFSM,\n    generate_random_sevpa,\n)\nfrom .BenchmarkSULs import *\nfrom .DataHandler import (\n    DataHandler,\n    CharacterTokenizer,\n    DelimiterTokenizer,\n    IODelimiterTokenizer,\n)\nfrom .FileHandler import (\n    save_automaton_to_file,\n    load_automaton_from_file,\n    visualize_automaton,\n)\nfrom .ModelChecking import (\n    model_check_experiment,\n    mdp_2_prism_format,\n    model_check_properties,\n    get_properties_file,\n    get_correct_prop_values,\n    compare_automata,\n    generate_test_cases,\n    statistical_model_checking,\n    bisimilar,\n)\nfrom .HelperFunctions import (\n    make_input_complete,\n    convert_i_o_traces_for_RPNI,\n    is_balanced,\n    generate_input_output_data_from_automata,\n    generate_input_output_data_from_vpa,\n)\n"
  },
  {
    "path": "docs/README.md",
    "content": "AALpy is a light-weight automata learning library written in Python. \nYou can start learning models of black-box systems with a few lines of code.\n\nAALpy supports both **active** and **passive** automata learning algorithms that can be used to learn a variety of modeling formalisms, including \n**deterministic**, **non-deterministic**, and **stochastic automata**, as well as **deterministic context-free grammars/pushdown automata**.\n\n## Installation\n\nUse the package manager [pip](https://pip.pypa.io/en/stable/) to install the latest release of AALpy:\n```bash\npip install aalpy\n```\nTo install current version of the master branch (it might contain bugfixes and added functionalities between releases):\n```bash\npip install https://github.com/DES-Lab/AALpy/archive/master.zip\n```\nThe minimum required version of Python is 3.6.  \nEnsure that you have [Graphviz](https://graphviz.org/) installed and added to your path if you want to visualize models.\n\nFor manual installation, clone the repo and install `pydot` (the only dependency).\n\n## Documentation and Wiki\n\nIf you are interested in automata learning or would like to understand the automata learning process in more detail,\nplease check out our **Wiki**. On Wiki, you will find more detailed examples on how to use AALpy.\n- <https://github.com/DES-Lab/AALpy/wiki>\n\n***[Examples.py](https://github.com/DES-Lab/AALpy/blob/master/Examples.py)*** contains examples covering almost the whole of AALpy's functionality and its a great starting point. \n\n### Usage\n\nAll active automata learning procedures follow this high-level approach:\n- [Define the input alphabet and system under learning (SUL)](https://github.com/DES-Lab/AALpy/wiki/SUL-Interface,-or-How-to-Learn-Your-Systems)\n- [Choose the equivalence oracle](https://github.com/DES-Lab/AALpy/wiki/Equivalence-Oracles)\n- [Run the learning algorithm](https://github.com/DES-Lab/AALpy/wiki/Setting-Up-Learning)\n\nPassive learning algorithm simply require you to provide data in the appropriate format (check Wiki and Examples) and run the learning function.\n\n## Selected Applications\nAALpy has been used to:\n- [Learn Models of Bluetooth Low-Energy](https://github.com/apferscher/ble-learning)\n- [Find bugs in VIM text editor](https://github.com/DES-Lab/AALpy/discussions/13)\n- [Learn Input-Output Behavior of RNNs](https://github.com/DES-Lab/Extracting-FSM-From-RNNs)\n- [Learn Models of GIT](https://github.com/taburg/git-learning)\n- [Solve RL Problems](https://github.com/DES-Lab/Learning-Environment-Models-with-Continuous-Stochastic-Dynamics)\n\n## Cite AALpy and Research Contact\nIf you use AALpy in your research, please cite us with of the following:\n- [Extended version (preferred)](https://www.researchgate.net/publication/359517046_AALpy_an_active_automata_learning_library/citation/download)\n- [Tool paper](https://dblp.org/rec/conf/atva/MuskardinAPPT21.html?view=bibtex)\n\nIf you have research suggestions or you need specific help concerning your research, feel free to start a [discussion](https://github.com/DES-Lab/AALpy/discussions) or contact [edi.muskardin@silicon-austria.com](mailto:edi.muskardin@silicon-austria.com).\nWe are happy to help you and consult you in applying automata learning in various domains.\n\n## Contributing\nPull requests are welcome. For significant changes, please open an issue first to discuss what you would like to change.\nIn case of any questions or possible bugs, please open issues.\n"
  },
  {
    "path": "docs/_config.yml",
    "content": "title : AALpy\nauthor: Edi Muskardin\ndescription: An Active Automata Learning Library\nrss-description: An Active Automata Learning Library\ntheme: jekyll-theme-slate\ngoogle-site-verification: google306875680a34d740.html"
  },
  {
    "path": "docs/google306875680a34d740.html",
    "content": "google-site-verification: google306875680a34d740.html"
  },
  {
    "path": "docs/instructions.txt",
    "content": "1. For commenting use Google style with one additional space for between Args: and arguments, and one space between\n    Returns and return values.\n2. Install pdoc with pip install pdoc\n3. pdoc -o docs/documentation  ./aalpy\n"
  },
  {
    "path": "jAlergia/exampleMdpData.txt",
    "content": "C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,D,1,C,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,C,0,D,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,D,0,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,D,0,C,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,D,0,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,D,1,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,D,0,C,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,D,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,0,D,0,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,D,1,C,0,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,D,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,D,0,C,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,C,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,D,0,C,0,D\nC,0,B,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,D,0,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,D,0,A,0,D,1,C,0,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,C,0,C,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,0,C,0,D\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,0,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D,0,C,0,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,D,1,C,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,D,0,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,C,0,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C,0,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,D,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,C,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,D,0,C,0,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,0,C,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,0,D,0,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,0,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,1,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,0,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,0,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,D,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C,0,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,C,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,D\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,D,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,C,0,C,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,0,D,0,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,C,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,0,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,D\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,D,0,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,0,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,C,0,C,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,D,0,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,0,C,0,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,C,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,D,0,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,D,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,C,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,D,0,C,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,C,0,D,0,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,C,0,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,D,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,D,1,C,0,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,0,C,0,D,0,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,0,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,0,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,1,C,0,D,1,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,0,C,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,0,D,1,C,0,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,C,0,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,D,0,C,0,C,0,C,0,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,0,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D,0,C,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,C,0,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,0,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,0,D,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,0,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,C,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,D,1,C,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,D,1,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,0,C,0,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,0,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,C,1,D,1,C,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,C,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D,0,A\nC,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,D,0,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,D,1,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,C,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,0,C,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,D,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,0,A,0,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C,1,D,1,C,0,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A,0,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C,0,C\nC,1,A,0,D,0,C,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,0,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,D,1,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,D\nC,1,A,1,C,0,B,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,D,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,1,D,0,A\nC,1,A,0,D,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,0,D\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,1,C,0,B,1,C,0,D,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,D,0,A,0,D,0,C\nC,0,B,1,C,0,C,0,D,1,C,0,D,0,A,1,C,1,A,1,C\nC,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,D,0,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,D,1,C,0,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,C,0,D,0,A\nC,1,A,0,D,0,C,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,0,C\nC,1,A,0,D,0,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,1,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,D,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,D,1,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,D,0,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,0,C,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,0,D,0,C,1,D,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A\nC,1,A,0,D,1,C,0,D,0,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,D,0,C,0,D,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,0,A\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,D\nC,0,B,1,C,0,C,0,D,0,C,0,C,1,D,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,1,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,D,1,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,D,0,C,0,C,0,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,0,C,0,C,1,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,0,C,0,C,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D,0,C,0,D,1,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,D,0,A,0,D,0,A,1,C,0,B,0,A\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,1,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,D,0,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,C,0,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,0,D,0,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,1,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,D,0,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,0,C,0,C,1,D,0,A,0,D,0,A\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,C,1,D,0,A,0,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,C,0,D,1,C,0,C,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,0,D,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,D,0,A\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,0,C,0,C,1,D,1,C,1,D,0,C,0,D\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,0,C,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,1,D,0,A\nC,1,A,1,C,1,A,0,D,0,C,1,D,1,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,1,A\nC,0,B,1,C,0,D,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,0,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,1,C,0,D,0,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,0,D,0,A,0,D,1,C,0,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,1,D,0,C,1,D,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,1,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,0,C,0,D,1,C,0,C,1,D\nC,0,B,1,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,1,D,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,1,D,1,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,0,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A,0,D,0,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,1,C,0,C,0,D,0,A,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,D,1,C\nC,1,A,0,D,0,C,1,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,0,C,0,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,D,1,C,0,D,0,C,1,D,0,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C,0,C,0,C,0,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,0,C,0,C,0,C,0,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,1,C\nC,1,A,0,D,0,A,0,D,1,C,1,D,0,A\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,A\nC,1,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A,1,C,0,B,0,A,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,1,A,0,D,1,C,0,C,1,D\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,1,D,0,A,0,D,0,C,0,D,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,D,1,C,1,D,1,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,1,C,0,B\nC,1,A,0,D,0,A,1,C,0,B\nC,0,B,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,1,A,0,D,1,C,0,D,0,A,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,1,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,1,C\nC,1,A,1,C,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,0,D,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,0,A,1,C\nC,1,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,1,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,1,C,0,D,0,C,1,D,0,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,1,C,0,D\nC,0,B,1,C,1,D,0,C,0,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,0,B,1,C,0,C,0,D,0,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,0,D,0,A,0,D\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,1,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,1,C,0,D,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,1,A,0,D,0,A,0,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A\nC,0,B,1,C,1,D,1,C,1,D,0,C,1,D,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D,0,A,0,D,0,A\nC,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,D,1,C,0,C,1,D,0,C,1,D,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C\nC,0,B,1,C,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,0,D,1,C,0,D,0,A,0,D,0,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,1,A,0,D,1,C,0,C,0,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,1,C,1,D,0,A,0,D\nC,0,B,1,C,1,D,0,A,0,D,0,A,1,C,0,B\nC,1,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,A,0,D,1,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,0,A,0,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C,1,D,0,A\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,0,D,1,C,0,D,0,C\nC,1,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,D,0,A,1,C,1,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,0,C,0,C,1,D,0,C,0,C,1,D,0,C,1,D,0,A\nC,0,B,1,C,1,D,1,C,0,D,1,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,1,D,0,A,0,D,0,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,1,D,0,A,0,D,0,A,0,D,0,A,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,0,D,1,C,0,D,1,C\nC,0,B,1,C,1,D,1,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,1,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,0,C,0,D,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D,0,C,0,C\nC,1,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,C,1,D,1,C,1,D,1,C,0,D,1,C,1,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,A,0,D,0,C,0,D,1,C\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,0,C,1,D\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,0,C,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,1,D,1,C,1,D,0,C\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,0,B,1,C,1,D,1,C,1,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,D,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,1,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,D,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,1,C,0,D\nC,1,A,0,D,0,C,0,C,0,C,1,D,0,A,0,D\nC,1,A,0,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D\nC,1,A,0,D,0,A,0,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,0,C,0,D,1,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,1,C,1,D,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,0,C,1,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,1,C,1,D,0,A,1,C,0,B,0,A\nC,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,0,C,0,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,1,C\nC,0,B,1,C,0,C,1,D,1,C,1,D,1,C,1,D,1,C,0,C\nC,1,A,1,C,0,B,1,C,1,D,0,A\nC,0,B,0,A,1,C,0,B,0,A,1,C,1,A,0,D,0,C,0,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,0,B\nC,0,B,1,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,0,D,0,A,0,D,0,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,1,C,0,B,1,C\nC,0,B,1,C,0,D,0,C,1,D,0,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C,1,A,0,D,1,C,0,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,1,D,0,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,D\nC,1,A,1,C,0,B,1,C,1,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,0,D,1,C,0,C,1,D,0,C,0,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,0,C\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,1,D,0,C,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,0,B,1,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,0,D,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,1,C,0,B,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C,1,D\nC,1,A,0,D,0,C,1,D,0,C,1,D,0,C,1,D,0,C,1,D,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,1,A,0,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,0,D,1,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,0,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,0,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D,0,A,0,D,1,C,0,D,0,C\nC,0,B,0,A,0,D,1,C,0,D,0,A,0,D,1,C\nC,1,A,0,D,0,C,0,C,0,C,1,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C,1,D,1,C,1,D,1,C\nC,0,B,0,A,1,C,1,A,1,C,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,D,0,C,1,D,0,A,0,D,1,C\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,D,1,C,0,C,0,D\nC,1,A,0,D,0,A,0,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C\nC,1,A,0,D,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C,1,D\nC,1,A,0,D,0,A,0,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,0,C,0,C,1,D\nC,1,A,1,C,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,1,C,1,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,0,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,1,A,1,C,1,A,1,C\nC,0,B,1,C,1,D,0,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,0,A,0,D,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,1,A,0,D,0,C,0,C,0,C,1,D,0,A,1,C\nC,1,A,0,D,1,C,0,C,1,D\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,1,C,0,B,1,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,1,D,0,C,1,D,0,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,0,A,1,C,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D,0,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,A,1,C,1,A,0,D,0,A\nC,0,B,0,A,1,C,1,A,0,D,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,1,D,1,C,1,D,1,C\nC,0,B,1,C,1,D,0,A,0,D,1,C,1,D,0,C\nC,1,A,1,C,1,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,0,C,1,D,1,C\nC,0,B,1,C,1,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,1,C,0,C,0,D,0,C\nC,0,B,1,C,0,C,1,D,0,C,0,C\nC,0,B,1,C,0,C,1,D,0,A,1,C,1,A,0,D,1,C,0,D,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C,0,D\nC,1,A,0,D,0,A,1,C,0,B,0,A,0,D,0,C\nC,0,B,0,A,0,D,0,A,0,D,0,C,1,D,1,C,0,C,1,D\nC,0,B,0,A,1,C,1,A,0,D,1,C,0,C,0,C,0,C,0,C,1,D,0,C\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,0,D\nC,1,A,1,C,1,A,0,D,1,C,0,C,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,0,B,0,A,0,D,0,A,1,C,0,B,1,C,1,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,1,C,0,C,0,C,0,C,0,D\nC,0,B,0,A,0,D,1,C,1,D,1,C,0,C,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,1,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,0,C,1,D,0,C,0,C,1,D,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,1,C,1,D,0,A,1,C,1,A\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C\nC,0,B,0,A,0,D,1,C,0,C,0,C,0,C\nC,1,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A,1,C,1,A,1,C,0,B\nC,1,A,1,C,0,B,0,A,0,D,0,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,0,D,0,C,1,D,1,C,1,D\nC,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,1,D,1,C,1,D,0,A,1,C,0,B,1,C,1,D\nC,1,A,0,D,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,0,C,0,D,1,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,0,B,0,A,0,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,C,0,D\nC,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,0,C,1,D,1,C,1,D,1,C,1,D\nC,1,A,1,C,1,A,0,D,0,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,0,C,1,D\nC,0,B,0,A,1,C,1,A,1,C,0,B,1,C,1,D,0,A,1,C,1,A,0,D\nC,0,B,1,C,0,C,0,C,0,C,0,D,1,C,1,D,0,A,0,D,1,C,0,D\nC,1,A,0,D,1,C,1,D,1,C,1,D,1,C,0,C,0,C,0,D\nC,0,B,1,C,0,C,0,D,1,C,0,C,1,D,0,A\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,C,0,C,0,C,1,D,0,A\nC,0,B,1,C,0,D,1,C,1,D,1,C,1,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,1,A,0,D,1,C,1,D,1,C,0,C,0,D\nC,1,A,0,D,1,C,1,D,0,A,0,D\nC,0,B,0,A,0,D,0,C,1,D,1,C,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,0,A,0,D,0,C,0,C,1,D\nC,1,A,1,C,0,B,1,C,0,C,1,D,0,A,1,C,0,B,1,C\nC,1,A,1,C,1,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,0,C,0,C,1,D,1,C,0,C,1,D,1,C,0,C\nC,0,B,0,A,1,C,0,B,1,C,1,D,1,C,0,D,0,A\nC,0,B,1,C,1,D,0,C,0,C,0,C,0,C,1,D,0,A,1,C\nC,0,B,0,A,1,C,1,A,0,D,0,C\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,A,1,C\nC,0,B,1,C,0,C,1,D,0,A,0,D,0,A,1,C,1,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,1,D,0,C,1,D,1,C,1,D\nC,1,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,0,A,1,C,0,B,1,C,0,C,0,C,1,D\nC,1,A,0,D,1,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,0,D,1,C,1,D,1,C\nC,1,A,1,C,0,B,1,C,0,C,0,C,0,C,0,C\nC,1,A,1,C,0,B,0,A,0,D,1,C,1,D,0,A,1,C\nC,0,B,1,C,1,D,1,C,0,C,1,D\nC,1,A,1,C,0,B,0,A,0,D\nC,0,B,1,C,1,D,1,C,0,C,0,C,0,C,0,C,0,C,1,D\nC,0,B,1,C,1,D,1,C,0,C,1,D,0,C,1,D,1,C\nC,1,A,1,C,0,B,0,A,0,D,0,A,1,C,1,A,1,C,0,B,0,A\nC,1,A,0,D,0,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,0,C,0,C,1,D,0,C,0,C,0,C\nC,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A,1,C,0,B,0,A\nC,0,B,1,C,0,C,1,D,1,C,0,C,0,D,0,A,1,C,1,A,1,C\nC,1,A,1,C,0,B,0,A,1,C,1,A\nC,0,B,0,A,0,D,1,C,0,C,1,D,0,A,1,C,1,A,1,C\nC,1,A,0,D,1,C,0,C,1,D,0,C,0,C,0,D,1,C\nC,0,B,0,A,0,D,0,C,0,C,1,D,1,C,0,C\nC,0,B,1,C,1,D,1,C,0,C,0,C\nC,0,B,1,C,1,D,0,A,1,C,0,B\nC,0,B,0,A,1,C,1,A,0,D,1,C,1,D,1,C\nC,1,A,0,D,0,C,1,D,1,C"
  },
  {
    "path": "notebooks/Abstracted_Non-Det_FSM.ipynb",
    "content": "{\n \"cells\": [\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"cell_type\": \"code\",\n   \"source\": \"#Example from paper P'Learning Abstracted Non-deterministic Finite State Machines'.\\n#    https://link.springer.com/chapter/10.1007/978-3-030-64881-7_4\",\n   \"execution_count\": 1,\n   \"outputs\": [],\n   \"id\": \"dc193bc9e266e83c\"\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"cell_type\": \"code\",\n   \"source\": [\n    \"# Import statemets\\n\",\n    \"\\n\",\n    \"import random\\n\",\n    \"\\n\",\n    \"from aalpy.base import SUL\\n\",\n    \"from aalpy.oracles import RandomWalkEqOracle\\n\",\n    \"from aalpy.learning_algs import run_abstracted_ONFSM_Lstar\\n\",\n    \"from aalpy.SULs import MealySUL\\n\",\n    \"from aalpy.utils import load_automaton_from_file\"\n   ],\n   \"execution_count\": 2,\n   \"outputs\": [],\n   \"id\": \"b1c805ab64f95d6c\"\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"cell_type\": \"code\",\n   \"source\": \"# Mapper/SUL used for abstracted learning \\n\\nclass Multi_Client_MQTT_Mapper(SUL):\\n    def __init__(self):\\n        super().__init__()\\n\\n        five_clients_mqtt_mealy = load_automaton_from_file('../DotModels/five_clients_mqtt_abstracted_onfsm.dot',\\n                                                           automaton_type='mealy')\\n        self.five_client_mqtt = MealySUL(five_clients_mqtt_mealy)\\n        self.connected_clients = set()\\n        self.subscribed_clients = set()\\n\\n        self.clients = ('c0', 'c1', 'c2', 'c3', 'c4')\\n\\n    def get_input_alphabet(self):\\n        return ['connect', 'disconnect', 'subscribe', 'unsubscribe', 'publish']\\n\\n    def pre(self):\\n        self.five_client_mqtt.pre()\\n\\n    def post(self):\\n        self.five_client_mqtt.post()\\n        self.connected_clients = set()\\n        self.subscribed_clients = set()\\n\\n    def step(self, letter):\\n        client = random.choice(self.clients)\\n        inp = client + '_' + letter\\n        concrete_output = self.five_client_mqtt.step(inp)\\n        all_out = ''\\n\\n        if letter == 'connect':\\n            if client not in self.connected_clients:\\n                self.connected_clients.add(client)\\n            elif client in self.connected_clients:\\n                self.connected_clients.remove(client)\\n                if client in self.subscribed_clients:\\n                    self.subscribed_clients.remove(client)\\n                if len(self.subscribed_clients) == 0:\\n                    all_out = '_UNSUB_ALL'\\n\\n        elif letter == 'subscribe' and client in self.connected_clients:\\n            self.subscribed_clients.add(client)\\n        elif letter == 'disconnect' and client in self.connected_clients:\\n            self.connected_clients.remove(client)\\n            if client in self.subscribed_clients:\\n                self.subscribed_clients.remove(client)\\n            if len(self.subscribed_clients) == 0:\\n                all_out = '_UNSUB_ALL'\\n        elif letter == 'unsubscribe' and client in self.connected_clients:\\n            if client in self.subscribed_clients:\\n                self.subscribed_clients.remove(client)\\n            if len(self.subscribed_clients) == 0:\\n                all_out = '_ALL'\\n\\n        concrete_outputs = concrete_output.split('__')\\n        abstract_outputs = set([e[3:] for e in concrete_outputs])\\n        if 'Empty' in abstract_outputs:\\n            abstract_outputs.remove('Empty')\\n        if abstract_outputs == {'CONCLOSED'}:\\n            if len(self.connected_clients) == 0:\\n                all_out = '_ALL'\\n            return 'CONCLOSED' + all_out\\n        else:\\n            if 'CONCLOSED' in abstract_outputs:\\n                abstract_outputs.remove('CONCLOSED')\\n            abstract_outputs = sorted(list(abstract_outputs))\\n            output = '_'.join(abstract_outputs)\\n            return '_'.join(set(output.split('_'))) + all_out\",\n   \"execution_count\": 5,\n   \"outputs\": [],\n   \"id\": \"52438a260e21eb62\"\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"cell_type\": \"code\",\n   \"source\": \"# instantiate SUL and input alphabet\\nsul = Multi_Client_MQTT_Mapper()\\nalphabet = sul.get_input_alphabet()\\n\\n# create eq. oracle\\neq_oracle = RandomWalkEqOracle(alphabet, sul, num_steps=5000, reset_prob=0.09, reset_after_cex=True)\\n\\n# define mapping from concrete outputs to abstract outputs\\nabstraction_mapping = {\\n    'CONCLOSED': 'CONCLOSED',\\n    'CONCLOSED_UNSUB_ALL': 'CONCLOSED',\\n    'CONCLOSED_ALL': 'CONCLOSED',\\n    'UNSUBACK' : 'UNSUBACK',\\n    'UNSUBACK_ALL': 'UNSUBACK'\\n}\",\n   \"execution_count\": 6,\n   \"outputs\": [],\n   \"id\": \"e315f28e5a2d8180\"\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"cell_type\": \"code\",\n   \"source\": [\n    \"# Start learning process\\n\",\n    \"\\n\",\n    \"learned_abstracter_onfsm = run_abstracted_ONFSM_Lstar(alphabet, sul, eq_oracle, abstraction_mapping=abstraction_mapping,\\n\",\n    \"                                           n_sampling=200, print_level=2)\"\n   ],\n   \"execution_count\": 8,\n   \"outputs\": [\n    {\n     \"output_type\": \"stream\",\n     \"text\": \"Hypothesis 1 has 3 states.\\n-----------------------------------\\nLearning Finished.\\nLearning Rounds:  1\\nNumber of states: 3\\nTime (in seconds)\\n  Total                : 13.62\\n  Learning algorithm   : 13.62\\n  Conformance checking : 0.0\\nLearning Algorithm\\n # Membership Queries  : 232995\\n # Steps               : 985895\\nEquivalence Query\\n # Membership Queries  : 418\\n # Steps               : 5000\\n-----------------------------------\\n\",\n     \"name\": \"stdout\"\n    }\n   ],\n   \"id\": \"a5fac43c5a52fb\"\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"cell_type\": \"code\",\n   \"source\": [\n    \"# Print the automaton (note that the original, non-abstracted automation has 273 states)\\n\",\n    \"print(learned_abstracter_onfsm)\"\n   ],\n   \"execution_count\": 9,\n   \"outputs\": [\n    {\n     \"output_type\": \"stream\",\n     \"text\": \"digraph learnedModel {\\ns0 [label=s0];\\ns1 [label=s1];\\ns2 [label=s2];\\ns0 -> s1  [label=\\\"connect/CONNACK\\\"];\\ns0 -> s0  [label=\\\"disconnect/CONCLOSED_ALL\\\"];\\ns0 -> s0  [label=\\\"subscribe/CONCLOSED_ALL\\\"];\\ns0 -> s0  [label=\\\"unsubscribe/CONCLOSED_ALL\\\"];\\ns0 -> s0  [label=\\\"publish/CONCLOSED_ALL\\\"];\\ns1 -> s0  [label=\\\"connect/CONCLOSED_ALL\\\"];\\ns1 -> s1  [label=\\\"connect/CONNACK\\\"];\\ns1 -> s1  [label=\\\"connect/CONCLOSED_UNSUB_ALL\\\"];\\ns1 -> s0  [label=\\\"disconnect/CONCLOSED_ALL\\\"];\\ns1 -> s1  [label=\\\"disconnect/CONCLOSED\\\"];\\ns1 -> s1  [label=\\\"disconnect/CONCLOSED_UNSUB_ALL\\\"];\\ns1 -> s2  [label=\\\"subscribe/SUBACK\\\"];\\ns1 -> s1  [label=\\\"subscribe/CONCLOSED\\\"];\\ns1 -> s1  [label=\\\"unsubscribe/UNSUBACK_ALL\\\"];\\ns1 -> s1  [label=\\\"unsubscribe/CONCLOSED\\\"];\\ns1 -> s1  [label=\\\"publish/PUBACK\\\"];\\ns1 -> s1  [label=\\\"publish/CONCLOSED\\\"];\\ns2 -> s0  [label=\\\"connect/CONCLOSED_ALL\\\"];\\ns2 -> s2  [label=\\\"connect/CONNACK\\\"];\\ns2 -> s2  [label=\\\"connect/CONCLOSED\\\"];\\ns2 -> s1  [label=\\\"connect/CONCLOSED_UNSUB_ALL\\\"];\\ns2 -> s0  [label=\\\"disconnect/CONCLOSED_ALL\\\"];\\ns2 -> s2  [label=\\\"disconnect/CONCLOSED\\\"];\\ns2 -> s1  [label=\\\"disconnect/CONCLOSED_UNSUB_ALL\\\"];\\ns2 -> s2  [label=\\\"subscribe/SUBACK\\\"];\\ns2 -> s2  [label=\\\"subscribe/CONCLOSED\\\"];\\ns2 -> s1  [label=\\\"unsubscribe/UNSUBACK_ALL\\\"];\\ns2 -> s2  [label=\\\"unsubscribe/CONCLOSED\\\"];\\ns2 -> s2  [label=\\\"unsubscribe/UNSUBACK\\\"];\\ns2 -> s2  [label=\\\"publish/CONCLOSED\\\"];\\ns2 -> s2  [label=\\\"publish/PUBACK_PUBLISH\\\"];\\n__start0 [label=\\\"\\\", shape=none];\\n__start0 -> s0  [label=\\\"\\\"];\\n}\\n\\n\",\n     \"name\": \"stdout\"\n    }\n   ],\n   \"id\": \"ad8a0651b263c35e\"\n  }\n ],\n \"metadata\": {\n  \"kernelspec\": {\n   \"name\": \"python3\",\n   \"display_name\": \"Python 3\",\n   \"language\": \"python\"\n  },\n  \"language_info\": {\n   \"name\": \"python\",\n   \"version\": \"3.7.10\",\n   \"mimetype\": \"text/x-python\",\n   \"codemirror_mode\": {\n    \"name\": \"ipython\",\n    \"version\": 3\n   },\n   \"pygments_lexer\": \"ipython3\",\n   \"nbconvert_exporter\": \"python\",\n   \"file_extension\": \".py\"\n  }\n },\n \"nbformat\": 4,\n \"nbformat_minor\": 5\n}\n"
  },
  {
    "path": "notebooks/AngluinExample.ipynb",
    "content": "{\n \"cells\": [\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"id\": \"ordinary-diving\",\n   \"cell_type\": \"code\",\n   \"source\": \"from aalpy.utils import get_Angluin_dfa\\n\\n# Import the DFA presented in Angluin's seminal paper\\ndfa = get_Angluin_dfa()\",\n   \"execution_count\": 1,\n   \"outputs\": []\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"id\": \"divine-ceramic\",\n   \"cell_type\": \"code\",\n   \"source\": \"# Get its input alphabet\\nalphabet = dfa.get_input_alphabet()\",\n   \"execution_count\": 2,\n   \"outputs\": []\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"id\": \"upper-ladder\",\n   \"cell_type\": \"code\",\n   \"source\": \"# Create a SUL instance weapping the Anguin's automaton\\nfrom aalpy.SULs import DfaSUL\\nsul = DfaSUL(dfa)\",\n   \"execution_count\": 3,\n   \"outputs\": []\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"id\": \"alive-living\",\n   \"cell_type\": \"code\",\n   \"source\": \"# create a random walk equivelance oracle that will perform up to 500 steps every learning round\\nfrom aalpy.oracles import RandomWalkEqOracle\\n\\neq_oracle = RandomWalkEqOracle(alphabet, sul, 500, reset_after_cex=True)\\n\\n\",\n   \"execution_count\": 4,\n   \"outputs\": []\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"id\": \"several-cursor\",\n   \"cell_type\": \"code\",\n   \"source\": \"from aalpy.learning_algs import run_Lstar\\n\\n# start the L* and print the whole process in detail\\nlearned_dfa = run_Lstar(alphabet, sul, eq_oracle, automaton_type='dfa',\\n                        cache_and_non_det_check=True, cex_processing=None, print_level=3)\",\n   \"execution_count\": 5,\n   \"outputs\": [\n    {\n     \"output_type\": \"stream\",\n     \"text\": \"Hypothesis 1: 2 states.\\n------------------------\\nPrefixes / E set |()    \\n------------------------\\n()               |True  \\n------------------------\\n('a',)           |False \\n========================\\n------------------------\\n('b',)           |False \\n------------------------\\n('a', 'a')       |True  \\n------------------------\\n('a', 'b')       |False \\n------------------------\\nCounterexample ['a', 'a', 'b', 'b']\\nHypothesis 2: 4 states.\\n--------------------------------------------\\nPrefixes / E set     |()    |('a',) |('b',) \\n--------------------------------------------\\n()                   |True  |False  |False  \\n--------------------------------------------\\n('a',)               |False |True   |False  \\n--------------------------------------------\\n('a', 'a', 'b')      |False |False  |True   \\n--------------------------------------------\\n('a', 'b')           |False |False  |False  \\n============================================\\n--------------------------------------------\\n('b',)               |False |False  |True   \\n--------------------------------------------\\n('a', 'a')           |True  |False  |False  \\n--------------------------------------------\\n('a', 'a', 'b', 'a') |False |False  |False  \\n--------------------------------------------\\n('a', 'a', 'b', 'b') |True  |False  |False  \\n--------------------------------------------\\n('a', 'b', 'a')      |False |False  |True   \\n--------------------------------------------\\n('a', 'b', 'b')      |False |True   |False  \\n--------------------------------------------\\n-----------------------------------\\nLearning Finished.\\nLearning Rounds:  2\\nNumber of states: 4\\nTime (in seconds)\\n  Total                : 0.01\\n  Learning algorithm   : 0.01\\n  Conformance checking : 0.0\\nLearning Algorithm\\n # Membership Queries  : 24\\n # MQ Saved by Caching : 14\\n # Steps               : 91\\nEquivalence Query\\n # Membership Queries  : 57\\n # Steps               : 504\\n-----------------------------------\\n\",\n     \"name\": \"stdout\"\n    }\n   ]\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"id\": \"preceding-wednesday\",\n   \"cell_type\": \"code\",\n   \"source\": [\n    \"# print the DOT representation of the final automaton\\n\",\n    \"print(learned_dfa)\\n\",\n    \"learned_dfa.save('learned_dfa.dot')\"\n   ],\n   \"execution_count\": 6,\n   \"outputs\": [\n    {\n     \"output_type\": \"stream\",\n     \"text\": \"digraph learnedModel {\\ns0 [label=s0, shape=doublecircle];\\ns1 [label=s1];\\ns2 [label=s2];\\ns3 [label=s3];\\ns0 -> s1  [label=a];\\ns0 -> s2  [label=b];\\ns1 -> s0  [label=a];\\ns1 -> s3  [label=b];\\ns2 -> s3  [label=a];\\ns2 -> s0  [label=b];\\ns3 -> s2  [label=a];\\ns3 -> s1  [label=b];\\n__start0 [label=\\\"\\\", shape=none];\\n__start0 -> s0  [label=\\\"\\\"];\\n}\\n\\n\",\n     \"name\": \"stdout\"\n    }\n   ]\n  }\n ],\n \"metadata\": {\n  \"kernelspec\": {\n   \"name\": \"python3\",\n   \"display_name\": \"Python 3\",\n   \"language\": \"python\"\n  },\n  \"language_info\": {\n   \"name\": \"python\",\n   \"version\": \"3.7.10\",\n   \"mimetype\": \"text/x-python\",\n   \"codemirror_mode\": {\n    \"name\": \"ipython\",\n    \"version\": 3\n   },\n   \"pygments_lexer\": \"ipython3\",\n   \"nbconvert_exporter\": \"python\",\n   \"file_extension\": \".py\"\n  }\n },\n \"nbformat\": 4,\n \"nbformat_minor\": 5\n}\n"
  },
  {
    "path": "notebooks/MDP_Example.ipynb",
    "content": "{\n  \"cells\": [\n    {\n      \"metadata\": {\n        \"trusted\": true\n      },\n      \"id\": \"higher-alexander\",\n      \"cell_type\": \"code\",\n      \"source\": \"from aalpy.SULs import MdpSUL\\nfrom aalpy.learning_algs import run_stochastic_Lstar\\nfrom aalpy.oracles import RandomWalkEqOracle\\nfrom aalpy.utils import get_faulty_coffee_machine_MDP\\n\\n# get faulty coffe machine found in Chapter 5 of Martin's Tappler PhD thesis\\nmdp = get_faulty_coffee_machine_MDP()\\n\\n# get its input alphabet\\ninput_alphabet = mdp.get_input_alphabet()\\n\\n# wrap it in the SUL\\nsul = MdpSUL(mdp)\",\n      \"execution_count\": 4,\n      \"outputs\": []\n    },\n    {\n      \"metadata\": {\n        \"trusted\": true\n      },\n      \"id\": \"demanding-minister\",\n      \"cell_type\": \"code\",\n      \"source\": \"# Define the eq. oracle\\neq_oracle = RandomWalkEqOracle(input_alphabet, sul=sul, num_steps=1000, reset_prob=0.11,\\n                                           reset_after_cex=True)\\n\\n# start learning with verbose output\\nlearned_mdp = run_stochastic_Lstar(input_alphabet, sul, eq_oracle, n_c=20, n_resample=200, strategy='classic', min_rounds=10,\\n                                   max_rounds=50, print_level=3)\",\n      \"execution_count\": 8,\n      \"outputs\": [\n        {\n          \"output_type\": \"stream\",\n          \"text\": \"Hypothesis: 1: 3 states.\\n------------------------------------------------------\\nPrefixes / E set         |('but',)      |('coin',)    \\n------------------------------------------------------\\n('init',)                |{'init': 106} |{'beep': 94} \\n------------------------------------------------------\\n('init', 'coin', 'beep') |{}            |{}           \\n======================================================\\n------------------------------------------------------\\n('init', 'but', 'init')  |{}            |{}           \\n------------------------------------------------------\\nHypothesis: 2: 4 states.\\n------------------------------------------------------------------------------------\\nPrefixes / E set                          |('but',)                  |('coin',)     \\n------------------------------------------------------------------------------------\\n('init',)                                 |{'init': 210}             |{'beep': 190} \\n------------------------------------------------------------------------------------\\n('init', 'coin', 'beep')                  |{'coffee': 37, 'init': 3} |{'beep': 56}  \\n------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee') |{}                        |{}            \\n====================================================================================\\n------------------------------------------------------------------------------------\\n('init', 'but', 'init')                   |{'init': 60}              |{'beep': 44}  \\n------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'init')   |{}                        |{}            \\n------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'coin', 'beep')  |{}                        |{}            \\n------------------------------------------------------------------------------------\\nHypothesis: 3: 3 states.\\n------------------------------------------------------------------------------------------------------\\nPrefixes / E set                                          |('but',)                    |('coin',)     \\n------------------------------------------------------------------------------------------------------\\n('init',)                                                 |{'init': 210}               |{'beep': 390} \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep')                                  |{'coffee': 118, 'init': 15} |{'beep': 163} \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee')                 |{'init': 40}                |{'beep': 41}  \\n======================================================================================================\\n------------------------------------------------------------------------------------------------------\\n('init', 'but', 'init')                                   |{'init': 60}                |{'beep': 44}  \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'init')                   |{'init': 8}                 |{'beep': 4}   \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'coin', 'beep')                  |{'coffee': 46, 'init': 6}   |{'beep': 55}  \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'but', 'init')  |{}                          |{}            \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'coin', 'beep') |{}                          |{}            \\n------------------------------------------------------------------------------------------------------\\nHypothesis: 4: 3 states.\\n------------------------------------------------------------------------------------------------------\\nPrefixes / E set                                          |('but',)                    |('coin',)     \\n------------------------------------------------------------------------------------------------------\\n('init',)                                                 |{'init': 262}               |{'beep': 646} \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep')                                  |{'coffee': 322, 'init': 39} |{'beep': 184} \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee')                 |{'init': 136}               |{'beep': 146} \\n======================================================================================================\\n------------------------------------------------------------------------------------------------------\\n('init', 'but', 'init')                                   |{'init': 82}                |{'beep': 72}  \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'init')                   |{'init': 18}                |{'beep': 18}  \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'coin', 'beep')                  |{'coffee': 54, 'init': 6}   |{'beep': 65}  \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'but', 'init')  |{'init': 61}                |{'beep': 34}  \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'coin', 'beep') |{'coffee': 34, 'init': 3}   |{'beep': 65}  \\n------------------------------------------------------------------------------------------------------\\nCounterexample ('init', 'coin', 'beep', 'but', 'init', 'coin', 'beep', 'but')\\nHypothesis: 5: 3 states.\\n------------------------------------------------------------------------------------------------------\\nPrefixes / E set                                          |('but',)                    |('coin',)     \\n------------------------------------------------------------------------------------------------------\\n('init',)                                                 |{'init': 262}               |{'beep': 846} \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep')                                  |{'coffee': 510, 'init': 51} |{'beep': 184} \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee')                 |{'init': 136}               |{'beep': 146} \\n======================================================================================================\\n------------------------------------------------------------------------------------------------------\\n('init', 'but', 'init')                                   |{'init': 82}                |{'beep': 72}  \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'init')                   |{'init': 26}                |{'beep': 22}  \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'coin', 'beep')                  |{'coffee': 54, 'init': 6}   |{'beep': 65}  \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'but', 'init')  |{'init': 61}                |{'beep': 34}  \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'coin', 'beep') |{'coffee': 34, 'init': 3}   |{'beep': 65}  \\n------------------------------------------------------------------------------------------------------\\nCounterexample ('init', 'coin', 'beep', 'but', 'init', 'coin', 'beep', 'but')\\nUnambiguous rows: 100.0%; 8 out of 8\\n-----------------------------------\\nLearning Finished.\\nLearning Rounds:  5\\nNumber of states: 3\\nTime (in seconds)\\n  Total                : 0.05\\n  Learning algorithm   : 0.03\\n  Conformance checking : 0.02\\nLearning Algorithm\\n # Membership Queries  : 1000\\n # Steps               : 3285\\nEquivalence Query\\n # Membership Queries  : 108\\n # Steps               : 1000\\n-----------------------------------\\n\",\n          \"name\": \"stdout\"\n        }\n      ]\n    },\n    {\n      \"metadata\": {\n        \"trusted\": true\n      },\n      \"id\": \"dangerous-catholic\",\n      \"cell_type\": \"code\",\n      \"source\": \"# print the learned MDP\\nprint(learned_mdp)\",\n      \"execution_count\": 9,\n      \"outputs\": [\n        {\n          \"output_type\": \"stream\",\n          \"text\": \"digraph learnedModel {\\ns0 [label=init];\\ns1 [label=beep];\\ns2 [label=coffee];\\ns0 -> s0  [label=\\\"but : 1.0\\\"];\\ns0 -> s1  [label=\\\"coin : 1.0\\\"];\\ns1 -> s2  [label=\\\"but : 0.91\\\"];\\ns1 -> s0  [label=\\\"but : 0.09\\\"];\\ns1 -> s1  [label=\\\"coin : 1.0\\\"];\\ns2 -> s0  [label=\\\"but : 1.0\\\"];\\ns2 -> s1  [label=\\\"coin : 1.0\\\"];\\n__start0 [label=\\\"\\\", shape=none];\\n__start0 -> s0  [label=\\\"\\\"];\\n}\\n\\n\",\n          \"name\": \"stdout\"\n        }\n      ]\n    }\n  ],\n  \"metadata\": {\n    \"kernelspec\": {\n      \"name\": \"python3\",\n      \"display_name\": \"Python 3\",\n      \"language\": \"python\"\n    },\n    \"language_info\": {\n      \"name\": \"python\",\n      \"version\": \"3.7.10\",\n      \"mimetype\": \"text/x-python\",\n      \"codemirror_mode\": {\n        \"name\": \"ipython\",\n        \"version\": 3\n      },\n      \"pygments_lexer\": \"ipython3\",\n      \"nbconvert_exporter\": \"python\",\n      \"file_extension\": \".py\"\n    }\n  },\n  \"nbformat\": 4,\n  \"nbformat_minor\": 5\n}"
  },
  {
    "path": "notebooks/MDP_and_SMM_Example.ipynb",
    "content": "{\n    \"cells\": [\n        {\n            \"metadata\": {\n                \"trusted\": true\n            },\n            \"id\": \"higher-alexander\",\n            \"cell_type\": \"code\",\n            \"source\": \"from aalpy.SULs import MdpSUL\\nfrom aalpy.learning_algs import run_stochastic_Lstar\\nfrom aalpy.oracles import RandomWalkEqOracle\\nfrom aalpy.utils import get_faulty_coffee_machine_MDP\\n\\n# get faulty coffe machine found in Chapter 5 of Martin's Tappler PhD thesis\\nmdp = get_faulty_coffee_machine_MDP()\\n\\n# get its input alphabet\\ninput_alphabet = mdp.get_input_alphabet()\\n\\n# wrap it in the SUL\\nsul = MdpSUL(mdp)\",\n            \"execution_count\": 1,\n            \"outputs\": [\n\n            ]\n        },\n        {\n            \"metadata\": {\n                \"trusted\": true\n            },\n            \"id\": \"demanding-minister\",\n            \"cell_type\": \"code\",\n            \"source\": \"# Define the eq. oracle\\neq_oracle = RandomWalkEqOracle(input_alphabet, sul=sul, num_steps=1000, reset_prob=0.11,\\n                                           reset_after_cex=True)\\n\\n# start learning with verbose output\\nlearned_mdp = run_stochastic_Lstar(input_alphabet, sul, eq_oracle, n_c=20, n_resample=500, strategy='classic', min_rounds=10,\\n                                   max_rounds=50, cex_processing=None, print_level=3)\",\n            \"execution_count\": 19,\n            \"outputs\": [\n                {\n                    \"output_type\": \"stream\",\n                    \"text\": \"Hypothesis: 1: 3 states.\\n-------------------------------------------------------\\nPrefixes / E set         |('but',)      |('coin',)     \\n-------------------------------------------------------\\n('init',)                |{'init': 256} |{'beep': 244} \\n-------------------------------------------------------\\n('init', 'coin', 'beep') |{}            |{}            \\n=======================================================\\n-------------------------------------------------------\\n('init', 'but', 'init')  |{}            |{}            \\n-------------------------------------------------------\\nHypothesis: 2: 4 states.\\n--------------------------------------------------------------------------------------\\nPrefixes / E set                          |('but',)                    |('coin',)     \\n--------------------------------------------------------------------------------------\\n('init',)                                 |{'init': 508}               |{'beep': 492} \\n--------------------------------------------------------------------------------------\\n('init', 'coin', 'beep')                  |{'coffee': 107, 'init': 15} |{'beep': 126} \\n--------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee') |{}                          |{}            \\n======================================================================================\\n--------------------------------------------------------------------------------------\\n('init', 'but', 'init')                   |{'init': 122}               |{'beep': 130} \\n--------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'init')   |{}                          |{}            \\n--------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'coin', 'beep')  |{}                          |{}            \\n--------------------------------------------------------------------------------------\\nHypothesis: 3: 3 states.\\n------------------------------------------------------------------------------------------------------\\nPrefixes / E set                                          |('but',)                    |('coin',)     \\n------------------------------------------------------------------------------------------------------\\n('init',)                                                 |{'init': 508}               |{'beep': 992} \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep')                                  |{'coffee': 336, 'init': 40} |{'beep': 372} \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee')                 |{'init': 118}               |{'beep': 111} \\n======================================================================================================\\n------------------------------------------------------------------------------------------------------\\n('init', 'but', 'init')                                   |{'init': 122}               |{'beep': 130} \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'init')                   |{'init': 14}                |{'beep': 11}  \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'coin', 'beep')                  |{'coffee': 131, 'init': 7}  |{'beep': 108} \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'but', 'init')  |{}                          |{}            \\n------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'coin', 'beep') |{}                          |{}            \\n------------------------------------------------------------------------------------------------------\\nHypothesis: 4: 3 states.\\n-------------------------------------------------------------------------------------------------------\\nPrefixes / E set                                          |('but',)                    |('coin',)      \\n-------------------------------------------------------------------------------------------------------\\n('init',)                                                 |{'init': 562}               |{'beep': 1549} \\n-------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep')                                  |{'coffee': 813, 'init': 88} |{'beep': 399}  \\n-------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee')                 |{'init': 368}               |{'beep': 334}  \\n=======================================================================================================\\n-------------------------------------------------------------------------------------------------------\\n('init', 'but', 'init')                                   |{'init': 142}               |{'beep': 158}  \\n-------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'init')                   |{'init': 39}                |{'beep': 34}   \\n-------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'coin', 'beep')                  |{'coffee': 140, 'init': 9}  |{'beep': 121}  \\n-------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'but', 'init')  |{'init': 122}               |{'beep': 128}  \\n-------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'coin', 'beep') |{'coffee': 106, 'init': 10} |{'beep': 106}  \\n-------------------------------------------------------------------------------------------------------\\nCounterexample ('init', 'but', 'init', 'coin', 'beep', 'but')\\nHypothesis: 5: 3 states.\\n-------------------------------------------------------------------------------------------------------\\nPrefixes / E set                                          |('but',)                    |('coin',)      \\n-------------------------------------------------------------------------------------------------------\\n('init',)                                                 |{'init': 1062}              |{'beep': 1549} \\n-------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep')                                  |{'coffee': 813, 'init': 88} |{'beep': 399}  \\n-------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee')                 |{'init': 368}               |{'beep': 334}  \\n=======================================================================================================\\n-------------------------------------------------------------------------------------------------------\\n('init', 'but', 'init')                                   |{'init': 369}               |{'beep': 431}  \\n-------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'init')                   |{'init': 39}                |{'beep': 34}   \\n-------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'coin', 'beep')                  |{'coffee': 140, 'init': 9}  |{'beep': 121}  \\n-------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'but', 'init')  |{'init': 122}               |{'beep': 128}  \\n-------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'coin', 'beep') |{'coffee': 106, 'init': 10} |{'beep': 106}  \\n-------------------------------------------------------------------------------------------------------\\nCounterexample ('init', 'coin', 'beep', 'but', 'init', 'coin', 'beep', 'but')\\nUnambiguous rows: 100.0%; 12 out of 12\\nHypothesis: 6: 3 states.\\n---------------------------------------------------------------------------------------------------------\\nPrefixes / E set                                          |('but',)                      |('coin',)      \\n---------------------------------------------------------------------------------------------------------\\n('init',)                                                 |{'init': 1062}                |{'beep': 2049} \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep')                                  |{'coffee': 1255, 'init': 146} |{'beep': 399}  \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee')                 |{'init': 368}                 |{'beep': 334}  \\n=========================================================================================================\\n---------------------------------------------------------------------------------------------------------\\n('init', 'but', 'init')                                   |{'init': 369}                 |{'beep': 431}  \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'init')                   |{'init': 67}                  |{'beep': 64}   \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'coin', 'beep')                  |{'coffee': 140, 'init': 9}    |{'beep': 121}  \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'but', 'init')  |{'init': 122}                 |{'beep': 128}  \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'coin', 'beep') |{'coffee': 106, 'init': 10}   |{'beep': 106}  \\n---------------------------------------------------------------------------------------------------------\\nCounterexample ('init', 'coin', 'beep', 'but', 'init', 'coin', 'beep', 'but')\\nHypothesis: 7: 3 states.\\n---------------------------------------------------------------------------------------------------------\\nPrefixes / E set                                          |('but',)                      |('coin',)      \\n---------------------------------------------------------------------------------------------------------\\n('init',)                                                 |{'init': 1062}                |{'beep': 2549} \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep')                                  |{'coffee': 1705, 'init': 196} |{'beep': 399}  \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee')                 |{'init': 368}                 |{'beep': 334}  \\n=========================================================================================================\\n---------------------------------------------------------------------------------------------------------\\n('init', 'but', 'init')                                   |{'init': 369}                 |{'beep': 431}  \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'init')                   |{'init': 89}                  |{'beep': 92}   \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'coin', 'beep')                  |{'coffee': 140, 'init': 9}    |{'beep': 121}  \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'but', 'init')  |{'init': 122}                 |{'beep': 128}  \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'coin', 'beep') |{'coffee': 106, 'init': 10}   |{'beep': 106}  \\n---------------------------------------------------------------------------------------------------------\\nCounterexample ('init', 'coin', 'beep', 'coin', 'beep', 'coin', 'beep', 'coin', 'beep', 'but')\\nHypothesis: 8: 3 states.\\n---------------------------------------------------------------------------------------------------------\\nPrefixes / E set                                          |('but',)                      |('coin',)      \\n---------------------------------------------------------------------------------------------------------\\n('init',)                                                 |{'init': 1062}                |{'beep': 3049} \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep')                                  |{'coffee': 1705, 'init': 196} |{'beep': 899}  \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee')                 |{'init': 368}                 |{'beep': 334}  \\n=========================================================================================================\\n---------------------------------------------------------------------------------------------------------\\n('init', 'but', 'init')                                   |{'init': 369}                 |{'beep': 431}  \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'init')                   |{'init': 89}                  |{'beep': 92}   \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'coin', 'beep')                  |{'coffee': 358, 'init': 27}   |{'beep': 385}  \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'but', 'init')  |{'init': 122}                 |{'beep': 128}  \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'coin', 'beep') |{'coffee': 106, 'init': 10}   |{'beep': 106}  \\n---------------------------------------------------------------------------------------------------------\\nCounterexample ('init', 'coin', 'beep', 'but', 'coffee', 'but', 'init', 'coin', 'beep', 'but')\\nHypothesis: 9: 3 states.\\n---------------------------------------------------------------------------------------------------------\\nPrefixes / E set                                          |('but',)                      |('coin',)      \\n---------------------------------------------------------------------------------------------------------\\n('init',)                                                 |{'init': 1062}                |{'beep': 3549} \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep')                                  |{'coffee': 2141, 'init': 260} |{'beep': 899}  \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee')                 |{'init': 804}                 |{'beep': 334}  \\n=========================================================================================================\\n---------------------------------------------------------------------------------------------------------\\n('init', 'but', 'init')                                   |{'init': 369}                 |{'beep': 431}  \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'init')                   |{'init': 89}                  |{'beep': 92}   \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'coin', 'beep')                  |{'coffee': 358, 'init': 27}   |{'beep': 385}  \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'but', 'init')  |{'init': 330}                 |{'beep': 356}  \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'coin', 'beep') |{'coffee': 106, 'init': 10}   |{'beep': 106}  \\n---------------------------------------------------------------------------------------------------------\\nCounterexample ('init', 'coin', 'beep', 'but', 'coffee', 'coin', 'beep', 'coin', 'beep', 'but')\\nHypothesis: 10: 3 states.\\n---------------------------------------------------------------------------------------------------------\\nPrefixes / E set                                          |('but',)                      |('coin',)      \\n---------------------------------------------------------------------------------------------------------\\n('init',)                                                 |{'init': 1062}                |{'beep': 4049} \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep')                                  |{'coffee': 2586, 'init': 315} |{'beep': 899}  \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee')                 |{'init': 804}                 |{'beep': 779}  \\n=========================================================================================================\\n---------------------------------------------------------------------------------------------------------\\n('init', 'but', 'init')                                   |{'init': 369}                 |{'beep': 431}  \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'init')                   |{'init': 89}                  |{'beep': 92}   \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'coin', 'beep')                  |{'coffee': 358, 'init': 27}   |{'beep': 385}  \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'but', 'init')  |{'init': 330}                 |{'beep': 356}  \\n---------------------------------------------------------------------------------------------------------\\n('init', 'coin', 'beep', 'but', 'coffee', 'coin', 'beep') |{'coffee': 300, 'init': 30}   |{'beep': 337}  \\n---------------------------------------------------------------------------------------------------------\\nCounterexample ('init', 'but', 'init', 'but', 'init', 'but', 'init', 'coin', 'beep', 'but')\\nUnambiguous rows: 100.0%; 17 out of 17\\n-----------------------------------\\nLearning Finished.\\nLearning Rounds:  10\\nNumber of states: 3\\nTime (in seconds)\\n  Total                : 0.2\\n  Learning algorithm   : 0.19\\n  Conformance checking : 0.01\\nLearning Algorithm\\n # Membership Queries  : 5500\\n # Steps               : 19566\\nEquivalence Query\\n # Membership Queries  : 111\\n # Steps               : 1000\\n-----------------------------------\\n\",\n                    \"name\": \"stdout\"\n                }\n            ]\n        },\n        {\n            \"metadata\": {\n                \"scrolled\": true,\n                \"trusted\": true\n            },\n            \"id\": \"dangerous-catholic\",\n            \"cell_type\": \"code\",\n            \"source\": \"# print the learned MDP\\nprint(learned_mdp)\",\n            \"execution_count\": 20,\n            \"outputs\": [\n                {\n                    \"output_type\": \"stream\",\n                    \"text\": \"digraph learnedModel {\\ns0 [label=init];\\ns1 [label=beep];\\ns2 [label=coffee];\\ns0 -> s0  [label=\\\"but : 1.0\\\"];\\ns0 -> s1  [label=\\\"coin : 1.0\\\"];\\ns1 -> s2  [label=\\\"but : 0.89\\\"];\\ns1 -> s0  [label=\\\"but : 0.11\\\"];\\ns1 -> s1  [label=\\\"coin : 1.0\\\"];\\ns2 -> s0  [label=\\\"but : 1.0\\\"];\\ns2 -> s1  [label=\\\"coin : 1.0\\\"];\\n__start0 [label=\\\"\\\", shape=none];\\n__start0 -> s0  [label=\\\"\\\"];\\n}\\n\\n\",\n                    \"name\": \"stdout\"\n                }\n            ]\n        },\n        {\n            \"metadata\": {\n                \"trusted\": true\n            },\n            \"id\": \"seven-toolbox\",\n            \"cell_type\": \"code\",\n            \"source\": \"# let us repeat the procedure, but this time learn Stochastic Mealy Machine\\n\\n# Define the eq. oracle\\neq_oracle = RandomWalkEqOracle(input_alphabet, sul=sul, num_steps=1000, reset_prob=0.11,\\n                                           reset_after_cex=True)\\n\\n# start learning with verbose output\\nlearned_smm = run_stochastic_Lstar(input_alphabet, sul, eq_oracle, automaton_type='smm', strategy='normal', min_rounds=10,\\n                                   max_rounds=50, cex_processing=None, print_level=3)\",\n            \"execution_count\": 10,\n            \"outputs\": [\n                {\n                    \"output_type\": \"stream\",\n                    \"text\": \"Hypothesis: 1: 1 states.\\n-----------------------------------------------\\nPrefixes / E set |('but',)      |('coin',)     \\n-----------------------------------------------\\n()               |{'init': 266} |{'beep': 234} \\n===============================================\\n-----------------------------------------------\\n('but', 'init')  |{}            |{}            \\n-----------------------------------------------\\n('coin', 'beep') |{}            |{}            \\n-----------------------------------------------\\nCounterexample ['coin', 'beep', 'coin', 'beep', 'coin', 'beep', 'but']\\nHypothesis: 2: 2 states.\\n-----------------------------------------------------------------------------\\nPrefixes / E set                  |('but',)                   |('coin',)     \\n-----------------------------------------------------------------------------\\n()                                |{'init': 379}              |{'beep': 622} \\n-----------------------------------------------------------------------------\\n('coin', 'beep')                  |{'coffee': 38, 'init': 5}  |{'beep': 345} \\n=============================================================================\\n-----------------------------------------------------------------------------\\n('but', 'init')                   |{'init': 51}               |{'beep': 62}  \\n-----------------------------------------------------------------------------\\n('coin', 'beep', 'but', 'coffee') |{}                         |{}            \\n-----------------------------------------------------------------------------\\n('coin', 'beep', 'but', 'init')   |{}                         |{}            \\n-----------------------------------------------------------------------------\\n('coin', 'beep', 'coin', 'beep')  |{'coffee': 55, 'init': 14} |{'beep': 276} \\n-----------------------------------------------------------------------------\\nHypothesis: 3: 2 states.\\n-------------------------------------------------------------------------------\\nPrefixes / E set                  |('but',)                    |('coin',)      \\n-------------------------------------------------------------------------------\\n()                                |{'init': 515}               |{'beep': 1084} \\n-------------------------------------------------------------------------------\\n('coin', 'beep')                  |{'coffee': 338, 'init': 36} |{'beep': 469}  \\n===============================================================================\\n-------------------------------------------------------------------------------\\n('but', 'init')                   |{'init': 116}               |{'beep': 129}  \\n-------------------------------------------------------------------------------\\n('coin', 'beep', 'but', 'coffee') |{'init': 142}               |{'beep': 156}  \\n-------------------------------------------------------------------------------\\n('coin', 'beep', 'but', 'init')   |{'init': 17}                |{'beep': 14}   \\n-------------------------------------------------------------------------------\\n('coin', 'beep', 'coin', 'beep')  |{'coffee': 107, 'init': 19} |{'beep': 340}  \\n-------------------------------------------------------------------------------\\nHypothesis: 4: 2 states.\\n-------------------------------------------------------------------------------\\nPrefixes / E set                  |('but',)                    |('coin',)      \\n-------------------------------------------------------------------------------\\n()                                |{'init': 639}               |{'beep': 1460} \\n-------------------------------------------------------------------------------\\n('coin', 'beep')                  |{'coffee': 538, 'init': 61} |{'beep': 620}  \\n===============================================================================\\n-------------------------------------------------------------------------------\\n('but', 'init')                   |{'init': 177}               |{'beep': 192}  \\n-------------------------------------------------------------------------------\\n('coin', 'beep', 'but', 'coffee') |{'init': 250}               |{'beep': 248}  \\n-------------------------------------------------------------------------------\\n('coin', 'beep', 'but', 'init')   |{'init': 31}                |{'beep': 25}   \\n-------------------------------------------------------------------------------\\n('coin', 'beep', 'coin', 'beep')  |{'coffee': 175, 'init': 24} |{'beep': 418}  \\n-------------------------------------------------------------------------------\\nHypothesis: 5: 2 states.\\n-------------------------------------------------------------------------------\\nPrefixes / E set                  |('but',)                    |('coin',)      \\n-------------------------------------------------------------------------------\\n()                                |{'init': 767}               |{'beep': 1832} \\n-------------------------------------------------------------------------------\\n('coin', 'beep')                  |{'coffee': 737, 'init': 92} |{'beep': 762}  \\n===============================================================================\\n-------------------------------------------------------------------------------\\n('but', 'init')                   |{'init': 242}               |{'beep': 255}  \\n-------------------------------------------------------------------------------\\n('coin', 'beep', 'but', 'coffee') |{'init': 351}               |{'beep': 346}  \\n-------------------------------------------------------------------------------\\n('coin', 'beep', 'but', 'init')   |{'init': 45}                |{'beep': 42}   \\n-------------------------------------------------------------------------------\\n('coin', 'beep', 'coin', 'beep')  |{'coffee': 250, 'init': 33} |{'beep': 476}  \\n-------------------------------------------------------------------------------\\nUnambiguous rows: 100.0%; 6 out of 6\\nHypothesis: 6: 2 states.\\n--------------------------------------------------------------------------------\\nPrefixes / E set                  |('but',)                     |('coin',)      \\n--------------------------------------------------------------------------------\\n()                                |{'init': 898}                |{'beep': 2201} \\n--------------------------------------------------------------------------------\\n('coin', 'beep')                  |{'coffee': 933, 'init': 117} |{'beep': 910}  \\n================================================================================\\n--------------------------------------------------------------------------------\\n('but', 'init')                   |{'init': 315}                |{'beep': 313}  \\n--------------------------------------------------------------------------------\\n('coin', 'beep', 'but', 'coffee') |{'init': 456}                |{'beep': 437}  \\n--------------------------------------------------------------------------------\\n('coin', 'beep', 'but', 'init')   |{'init': 59}                 |{'beep': 53}   \\n--------------------------------------------------------------------------------\\n('coin', 'beep', 'coin', 'beep')  |{'coffee': 320, 'init': 44}  |{'beep': 543}  \\n--------------------------------------------------------------------------------\\nHypothesis: 7: 2 states.\\n---------------------------------------------------------------------------------\\nPrefixes / E set                  |('but',)                      |('coin',)      \\n---------------------------------------------------------------------------------\\n()                                |{'init': 1015}                |{'beep': 2584} \\n---------------------------------------------------------------------------------\\n('coin', 'beep')                  |{'coffee': 1140, 'init': 144} |{'beep': 1059} \\n=================================================================================\\n---------------------------------------------------------------------------------\\n('but', 'init')                   |{'init': 372}                 |{'beep': 373}  \\n---------------------------------------------------------------------------------\\n('coin', 'beep', 'but', 'coffee') |{'init': 568}                 |{'beep': 532}  \\n---------------------------------------------------------------------------------\\n('coin', 'beep', 'but', 'init')   |{'init': 72}                  |{'beep': 67}   \\n---------------------------------------------------------------------------------\\n('coin', 'beep', 'coin', 'beep')  |{'coffee': 384, 'init': 48}   |{'beep': 624}  \\n---------------------------------------------------------------------------------\\nHypothesis: 8: 2 states.\\n---------------------------------------------------------------------------------\\nPrefixes / E set                  |('but',)                      |('coin',)      \\n---------------------------------------------------------------------------------\\n()                                |{'init': 1129}                |{'beep': 2970} \\n---------------------------------------------------------------------------------\\n('coin', 'beep')                  |{'coffee': 1363, 'init': 172} |{'beep': 1194} \\n=================================================================================\\n---------------------------------------------------------------------------------\\n('but', 'init')                   |{'init': 433}                 |{'beep': 426}  \\n---------------------------------------------------------------------------------\\n('coin', 'beep', 'but', 'coffee') |{'init': 679}                 |{'beep': 644}  \\n---------------------------------------------------------------------------------\\n('coin', 'beep', 'but', 'init')   |{'init': 90}                  |{'beep': 77}   \\n---------------------------------------------------------------------------------\\n('coin', 'beep', 'coin', 'beep')  |{'coffee': 444, 'init': 56}   |{'beep': 691}  \\n---------------------------------------------------------------------------------\\nHypothesis: 9: 2 states.\\n---------------------------------------------------------------------------------\\nPrefixes / E set                  |('but',)                      |('coin',)      \\n---------------------------------------------------------------------------------\\n()                                |{'init': 1261}                |{'beep': 3338} \\n---------------------------------------------------------------------------------\\n('coin', 'beep')                  |{'coffee': 1578, 'init': 189} |{'beep': 1330} \\n=================================================================================\\n---------------------------------------------------------------------------------\\n('but', 'init')                   |{'init': 497}                 |{'beep': 494}  \\n---------------------------------------------------------------------------------\\n('coin', 'beep', 'but', 'coffee') |{'init': 781}                 |{'beep': 757}  \\n---------------------------------------------------------------------------------\\n('coin', 'beep', 'but', 'init')   |{'init': 93}                  |{'beep': 91}   \\n---------------------------------------------------------------------------------\\n('coin', 'beep', 'coin', 'beep')  |{'coffee': 511, 'init': 69}   |{'beep': 747}  \\n---------------------------------------------------------------------------------\\nHypothesis: 10: 2 states.\\n---------------------------------------------------------------------------------\\nPrefixes / E set                  |('but',)                      |('coin',)      \\n---------------------------------------------------------------------------------\\n()                                |{'init': 1379}                |{'beep': 3720} \\n---------------------------------------------------------------------------------\\n('coin', 'beep')                  |{'coffee': 1810, 'init': 210} |{'beep': 1459} \\n=================================================================================\\n---------------------------------------------------------------------------------\\n('but', 'init')                   |{'init': 557}                 |{'beep': 552}  \\n---------------------------------------------------------------------------------\\n('coin', 'beep', 'but', 'coffee') |{'init': 894}                 |{'beep': 876}  \\n---------------------------------------------------------------------------------\\n('coin', 'beep', 'but', 'init')   |{'init': 99}                  |{'beep': 106}  \\n---------------------------------------------------------------------------------\\n('coin', 'beep', 'coin', 'beep')  |{'coffee': 565, 'init': 73}   |{'beep': 818}  \\n---------------------------------------------------------------------------------\\n\",\n                    \"name\": \"stdout\"\n                },\n                {\n                    \"output_type\": \"stream\",\n                    \"text\": \"Unambiguous rows: 100.0%; 6 out of 6\\n-----------------------------------\\nLearning Finished.\\nLearning Rounds:  10\\nNumber of states: 2\\nTime (in seconds)\\n  Total                : 0.22\\n  Learning algorithm   : 0.11\\n  Conformance checking : 0.11\\nLearning Algorithm\\n # Membership Queries  : 5500\\n # Steps               : 15611\\nEquivalence Query\\n # Membership Queries  : 107\\n # Steps               : 1004\\n-----------------------------------\\n\",\n                    \"name\": \"stdout\"\n                }\n            ]\n        },\n        {\n            \"metadata\": {\n                \"trusted\": true\n            },\n            \"id\": \"spoken-velvet\",\n            \"cell_type\": \"code\",\n            \"source\": \"print(learned_smm)\",\n            \"execution_count\": 11,\n            \"outputs\": [\n                {\n                    \"output_type\": \"stream\",\n                    \"text\": \"digraph learnedModel {\\ns0 [label=s0];\\ns1 [label=s1];\\ns0 -> s0  [label=\\\"but/init:1.0\\\"];\\ns0 -> s1  [label=\\\"coin/beep:1.0\\\"];\\ns1 -> s0  [label=\\\"but/coffee:0.9\\\"];\\ns1 -> s0  [label=\\\"but/init:0.1\\\"];\\ns1 -> s1  [label=\\\"coin/beep:1.0\\\"];\\n__start0 [label=\\\"\\\", shape=none];\\n__start0 -> s0  [label=\\\"\\\"];\\n}\\n\\n\",\n                    \"name\": \"stdout\"\n                }\n            ]\n        },\n        {\n            \"metadata\": {\n                \"trusted\": true\n            },\n            \"cell_type\": \"code\",\n            \"source\": \"\",\n            \"execution_count\": null,\n            \"outputs\": [\n\n            ]\n        }\n    ],\n    \"metadata\": {\n        \"kernelspec\": {\n            \"name\": \"python3\",\n            \"display_name\": \"Python 3\",\n            \"language\": \"python\"\n        },\n        \"language_info\": {\n            \"name\": \"python\",\n            \"version\": \"3.7.10\",\n            \"mimetype\": \"text/x-python\",\n            \"codemirror_mode\": {\n                \"name\": \"ipython\",\n                \"version\": 3\n            },\n            \"pygments_lexer\": \"ipython3\",\n            \"nbconvert_exporter\": \"python\",\n            \"file_extension\": \".py\"\n        }\n    },\n    \"nbformat\": 4,\n    \"nbformat_minor\": 5\n}"
  },
  {
    "path": "notebooks/ONFSM_Example.ipynb",
    "content": "{\n \"cells\": [\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"id\": \"strange-memory\",\n   \"cell_type\": \"code\",\n   \"source\": \"#Learning a ONFSM presented in 'Learning Finite State Models of Observable Nondeterministic Systems in a Testing Context'\",\n   \"execution_count\": 13,\n   \"outputs\": []\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"id\": \"prompt-sample\",\n   \"cell_type\": \"code\",\n   \"source\": \"from aalpy.utils import get_benchmark_ONFSM\\n\\n# get the automaton \\n\\nonfsm = get_benchmark_ONFSM()\\n\\n# get its alphabet\\n\\nalphabet = onfsm.get_input_alphabet()\",\n   \"execution_count\": 18,\n   \"outputs\": []\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"id\": \"threaded-mongolia\",\n   \"cell_type\": \"code\",\n   \"source\": \"from aalpy.SULs import OnfsmSUL\\n\\n# warp the benchmark in the SUL\\n\\nsul = OnfsmSUL(onfsm)\",\n   \"execution_count\": 19,\n   \"outputs\": []\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"id\": \"brown-generic\",\n   \"cell_type\": \"code\",\n   \"source\": \"from aalpy.oracles import RandomWalkEqOracle\\n\\n# define the eq. oracle\\n\\neq_oracle = RandomWalkEqOracle(alphabet, sul, num_steps=5000, reset_prob=0.09, reset_after_cex=True)\",\n   \"execution_count\": 20,\n   \"outputs\": []\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"id\": \"foster-background\",\n   \"cell_type\": \"code\",\n   \"source\": [\n    \"from aalpy.learning_algs import run_non_det_Lstar\\n\",\n    \"\\n\",\n    \"# start learning and print detailed output\\n\",\n    \"\\n\",\n    \"learned_onfsm = run_non_det_Lstar(alphabet, sul, eq_oracle, n_sampling=200, print_level=2)\\n\"\n   ],\n   \"execution_count\": 21,\n   \"outputs\": [\n    {\n     \"output_type\": \"stream\",\n     \"text\": \"Starting learning with an all-weather assumption.\\nSee run_Lstar_ONFSM documentation for more details about possible non-convergence.\\nHypothesis 1: 3 states.\\nHypothesis 2: 4 states.\\n-----------------------------------\\nLearning Finished.\\nLearning Rounds:  2\\nNumber of states: 4\\nTime (in seconds)\\n  Total                : 0.56\\n  Learning algorithm   : 0.52\\n  Conformance checking : 0.04\\nLearning Algorithm\\n # Membership Queries  : 22527\\n # Steps               : 114735\\nEquivalence Query\\n # Membership Queries  : 432\\n # Steps               : 5027\\n-----------------------------------\\n\",\n     \"name\": \"stdout\"\n    }\n   ]\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"id\": \"after-vacation\",\n   \"cell_type\": \"code\",\n   \"source\": \"# print the result\\n\\nprint(learned_onfsm)\",\n   \"execution_count\": 22,\n   \"outputs\": [\n    {\n     \"output_type\": \"stream\",\n     \"text\": \"digraph learnedModel {\\ns0 [label=s0];\\ns1 [label=s1];\\ns2 [label=s2];\\ns3 [label=s3];\\ns0 -> s1  [label=\\\"a/0\\\"];\\ns0 -> s2  [label=\\\"b/0\\\"];\\ns0 -> s0  [label=\\\"b/2\\\"];\\ns1 -> s0  [label=\\\"a/2\\\"];\\ns1 -> s1  [label=\\\"b/3\\\"];\\ns2 -> s3  [label=\\\"a/2\\\"];\\ns2 -> s2  [label=\\\"b/0\\\"];\\ns2 -> s2  [label=\\\"b/3\\\"];\\ns3 -> s1  [label=\\\"a/2\\\"];\\ns3 -> s3  [label=\\\"b/3\\\"];\\n__start0 [label=\\\"\\\", shape=none];\\n__start0 -> s0  [label=\\\"\\\"];\\n}\\n\\n\",\n     \"name\": \"stdout\"\n    }\n   ]\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"cell_type\": \"code\",\n   \"source\": \"\",\n   \"execution_count\": null,\n   \"outputs\": [],\n   \"id\": \"8937c6a9ec70157f\"\n  }\n ],\n \"metadata\": {\n  \"kernelspec\": {\n   \"name\": \"python3\",\n   \"display_name\": \"Python 3\",\n   \"language\": \"python\"\n  },\n  \"language_info\": {\n   \"name\": \"python\",\n   \"version\": \"3.7.10\",\n   \"mimetype\": \"text/x-python\",\n   \"codemirror_mode\": {\n    \"name\": \"ipython\",\n    \"version\": 3\n   },\n   \"pygments_lexer\": \"ipython3\",\n   \"nbconvert_exporter\": \"python\",\n   \"file_extension\": \".py\"\n  }\n },\n \"nbformat\": 4,\n \"nbformat_minor\": 5\n}\n"
  },
  {
    "path": "notebooks/RandomMealyExample.ipynb",
    "content": "{\n \"cells\": [\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"id\": \"nonprofit-volume\",\n   \"cell_type\": \"code\",\n   \"source\": [\n    \"from random import seed\\n\",\n    \"\\n\",\n    \"from DotModels.Bluetooth.convert_to_stochastic import alphabet\\n\",\n    \"\\n\",\n    \"# By defining the radnom seed, experiment is repr\\n\",\n    \"\\n\",\n    \"seed(5)\"\n   ],\n   \"execution_count\": 1,\n   \"outputs\": []\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"id\": \"loose-channels\",\n   \"cell_type\": \"code\",\n   \"source\": [\n    \"from aalpy.utils import generate_random_deterministic_automata\\n\",\n    \"\\n\",\n    \"# define parameters and create random Mealy machine based on them\\n\",\n    \"\\n\",\n    \"random_mealy = generate_random_deterministic_automata('mealy', num_states=10, input_alphabet_size=3, output_alphabet_size=3)\\n\",\n    \"alphabet = random_mealy.get_input_alphabet()\"\n   ],\n   \"execution_count\": 2,\n   \"outputs\": []\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"id\": \"technological-massage\",\n   \"cell_type\": \"code\",\n   \"source\": [\n    \"from aalpy.SULs import MealySUL\\n\",\n    \"\\n\",\n    \"# wrap the randomly generated Mealy machine in SUL\\n\",\n    \"\\n\",\n    \"sul_mealy = MealySUL(random_mealy)\"\n   ],\n   \"execution_count\": 3,\n   \"outputs\": []\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"id\": \"colonial-dairy\",\n   \"cell_type\": \"code\",\n   \"source\": [\n    \"from aalpy.oracles import StatePrefixEqOracle\\n\",\n    \"\\n\",\n    \"# create the equivalence oracle\\n\",\n    \"\\n\",\n    \"state_origin_eq_oracle = StatePrefixEqOracle(alphabet, sul_mealy, walks_per_state=10, walk_len=15)\"\n   ],\n   \"execution_count\": 4,\n   \"outputs\": []\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"id\": \"central-attachment\",\n   \"cell_type\": \"code\",\n   \"source\": \"from aalpy.learning_algs import run_Lstar\\n\\n# start learning with Shabaz-Groz counter-example processing\\n\\nlearned_mealy = run_Lstar(alphabet, sul_mealy, state_origin_eq_oracle, automaton_type='mealy',\\n                          cex_processing='longest_prefix')\\n\\n\",\n   \"execution_count\": 5,\n   \"outputs\": [\n    {\n     \"output_type\": \"stream\",\n     \"text\": \"Hypothesis 1: 6 states.\\nHypothesis 2: 10 states.\\n-----------------------------------\\nLearning Finished.\\nLearning Rounds:  2\\nNumber of states: 10\\nTime (in seconds)\\n  Total                : 0.02\\n  Learning algorithm   : 0.0\\n  Conformance checking : 0.02\\nLearning Algorithm\\n # Membership Queries  : 57\\n # MQ Saved by Caching : 27\\n # Steps               : 276\\nEquivalence Query\\n # Membership Queries  : 100\\n # Steps               : 1699\\n-----------------------------------\\n\",\n     \"name\": \"stdout\"\n    }\n   ]\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"id\": \"above-circuit\",\n   \"cell_type\": \"code\",\n   \"source\": \"# print the DOT represetnation of the learned Mealy machine\\nprint(learned_mealy)\",\n   \"execution_count\": 6,\n   \"outputs\": [\n    {\n     \"output_type\": \"stream\",\n     \"text\": \"digraph learnedModel {\\ns0 [label=s0];\\ns1 [label=s1];\\ns2 [label=s2];\\ns3 [label=s3];\\ns4 [label=s4];\\ns5 [label=s5];\\ns6 [label=s6];\\ns7 [label=s7];\\ns8 [label=s8];\\ns9 [label=s9];\\ns0 -> s2  [label=\\\"0/1\\\"];\\ns0 -> s1  [label=\\\"1/2\\\"];\\ns1 -> s4  [label=\\\"0/1\\\"];\\ns1 -> s3  [label=\\\"1/0\\\"];\\ns2 -> s4  [label=\\\"0/0\\\"];\\ns2 -> s9  [label=\\\"1/1\\\"];\\ns3 -> s5  [label=\\\"0/2\\\"];\\ns3 -> s4  [label=\\\"1/0\\\"];\\ns4 -> s8  [label=\\\"0/0\\\"];\\ns4 -> s7  [label=\\\"1/2\\\"];\\ns5 -> s6  [label=\\\"0/0\\\"];\\ns5 -> s8  [label=\\\"1/0\\\"];\\ns6 -> s9  [label=\\\"0/0\\\"];\\ns6 -> s0  [label=\\\"1/0\\\"];\\ns7 -> s7  [label=\\\"0/0\\\"];\\ns7 -> s5  [label=\\\"1/0\\\"];\\ns8 -> s2  [label=\\\"0/2\\\"];\\ns8 -> s8  [label=\\\"1/0\\\"];\\ns9 -> s0  [label=\\\"0/0\\\"];\\ns9 -> s5  [label=\\\"1/1\\\"];\\n__start0 [label=\\\"\\\", shape=none];\\n__start0 -> s0  [label=\\\"\\\"];\\n}\\n\\n\",\n     \"name\": \"stdout\"\n    }\n   ]\n  }\n ],\n \"metadata\": {\n  \"kernelspec\": {\n   \"name\": \"python3\",\n   \"display_name\": \"Python 3\",\n   \"language\": \"python\"\n  },\n  \"language_info\": {\n   \"name\": \"python\",\n   \"version\": \"3.7.10\",\n   \"mimetype\": \"text/x-python\",\n   \"codemirror_mode\": {\n    \"name\": \"ipython\",\n    \"version\": 3\n   },\n   \"pygments_lexer\": \"ipython3\",\n   \"nbconvert_exporter\": \"python\",\n   \"file_extension\": \".py\"\n  }\n },\n \"nbformat\": 4,\n \"nbformat_minor\": 5\n}\n"
  },
  {
    "path": "notebooks/RegexExample.ipynb",
    "content": "{\n  \"cells\": [\n    {\n      \"metadata\": {\n        \"trusted\": true\n      },\n      \"id\": \"charming-absence\",\n      \"cell_type\": \"code\",\n      \"source\": \"from aalpy.base import SUL\\nimport re\\n\\n# Create a system under learning that can learn any regular experssion\\n\\nclass RegexSUL(SUL):\\n    \\\"\\\"\\\"\\n    An example implementation of a system under learning that can be used to learn any regex expression.\\n    Note that the $ is added to the expression as in this SUL only exact matches are learned.\\n    \\\"\\\"\\\"\\n    def __init__(self, regex: str):\\n        super().__init__()\\n        self.regex = regex if regex[-1] == '$' else regex + '$'\\n        self.string = \\\"\\\"\\n\\n    def pre(self):\\n        self.string = \\\"\\\"\\n        pass\\n\\n    def post(self):\\n        self.string = \\\"\\\"\\n        pass\\n\\n    def step(self, letter):\\n        \\\"\\\"\\\"\\n\\n        Args:\\n\\n            letter: single element of the input alphabet\\n\\n        Returns:\\n\\n            Whether the current string (previous string + letter) is accepted\\n\\n        \\\"\\\"\\\"\\n        if letter is not None:\\n            self.string += str(letter)\\n        return True if re.match(self.regex, self.string) else False\",\n      \"execution_count\": 1,\n      \"outputs\": []\n    },\n    {\n      \"metadata\": {\n        \"trusted\": true\n      },\n      \"id\": \"norman-bolivia\",\n      \"cell_type\": \"code\",\n      \"source\": \"# define a regex and its alphabet\\nregex = '((0|1)*0)*1(11)*(0(0|1)*1)*0(00)*(1(0|1)*)*'\\nalphabet = [0,1]\",\n      \"execution_count\": 2,\n      \"outputs\": []\n    },\n    {\n      \"metadata\": {\n        \"trusted\": true\n      },\n      \"id\": \"industrial-sociology\",\n      \"cell_type\": \"code\",\n      \"source\": \"# pass the regex to the RegexSUL\\n\\nregex_sul = RegexSUL(regex)\\n\\nfrom aalpy.oracles import StatePrefixEqOracle\\n\\n# create the oracle\\n\\neq_oracle = StatePrefixEqOracle(alphabet, regex_sul, walks_per_state=15,\\n                                walk_len=10)\\n\\nfrom aalpy.learning_algs import run_Lstar\\n\\n# start learning with no counterexample processing\\n\\nlearned_regex = run_Lstar(alphabet, regex_sul, eq_oracle, automaton_type='dfa', cex_processing=None)\\n\\nprint(learned_regex)\",\n      \"execution_count\": 3,\n      \"outputs\": [\n        {\n          \"output_type\": \"stream\",\n          \"text\": \"Hypothesis 1: 1 states.\\nHypothesis 2: 4 states.\\nHypothesis 3: 5 states.\\n-----------------------------------\\nLearning Finished.\\nLearning Rounds:  3\\nNumber of states: 5\\nTime (in seconds)\\n  Total                : 0.02\\n  Learning algorithm   : 0.0\\n  Conformance checking : 0.02\\nLearning Algorithm\\n # Membership Queries  : 37\\n # MQ Saved by Caching : 37\\n # Steps               : 271\\nEquivalence Query\\n # Membership Queries  : 75\\n # Steps               : 935\\n-----------------------------------\\ndigraph learnedModel {\\ns0 [label=s0];\\ns1 [label=s1];\\ns2 [label=s2, shape=doublecircle];\\ns3 [label=s3, shape=doublecircle];\\ns4 [label=s4];\\ns0 -> s0  [label=0];\\ns0 -> s1  [label=1];\\ns1 -> s2  [label=0];\\ns1 -> s0  [label=1];\\ns2 -> s4  [label=0];\\ns2 -> s3  [label=1];\\ns3 -> s3  [label=0];\\ns3 -> s3  [label=1];\\ns4 -> s2  [label=0];\\ns4 -> s4  [label=1];\\n__start0 [label=\\\"\\\", shape=none];\\n__start0 -> s0  [label=\\\"\\\"];\\n}\\n\\n\",\n          \"name\": \"stdout\"\n        }\n      ]\n    }\n  ],\n  \"metadata\": {\n    \"kernelspec\": {\n      \"name\": \"python3\",\n      \"display_name\": \"Python 3\",\n      \"language\": \"python\"\n    },\n    \"language_info\": {\n      \"name\": \"python\",\n      \"version\": \"3.7.10\",\n      \"mimetype\": \"text/x-python\",\n      \"codemirror_mode\": {\n        \"name\": \"ipython\",\n        \"version\": 3\n      },\n      \"pygments_lexer\": \"ipython3\",\n      \"nbconvert_exporter\": \"python\",\n      \"file_extension\": \".py\"\n    }\n  },\n  \"nbformat\": 4,\n  \"nbformat_minor\": 5\n}"
  },
  {
    "path": "notebooks/Stochstic_Examples.ipynb",
    "content": "{\n \"cells\": [\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"cell_type\": \"code\",\n   \"source\": \"# This notebook contains example on how to run examples presented in 'Active Model Learning of Stochastic Reactive\\nSystems'\",\n   \"execution_count\": null,\n   \"outputs\": [],\n   \"id\": \"af65e2dc8986b294\"\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"cell_type\": \"code\",\n   \"source\": [\n    \"# Import Statements\\n\",\n    \"\\n\",\n    \"from aalpy.SULs import StochasticMealySUL\\n\",\n    \"from aalpy.oracles import RandomWalkEqOracle, RandomWordEqOracle\\n\",\n    \"from aalpy.learning_algs import run_stochastic_Lstar\\n\",\n    \"from aalpy.utils import load_automaton_from_file\\n\",\n    \"from aalpy.automata import StochasticMealyMachine\\n\",\n    \"from aalpy.utils import mdp_2_prism_format\"\n   ],\n   \"execution_count\": 21,\n   \"outputs\": [],\n   \"id\": \"55ca665dd831d315\"\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"cell_type\": \"code\",\n   \"source\": \"# Simply change parameters here and see how it affect the leraning process\\n# example and paremeters\\nexample = 'first_grid' # can also be 'second_grid', 'slot_machine', 'mqtt', 'tcp'\\nautomaton_type = 'smm' # to learn either mdp (Markov Decision Process) or smm (Stochastic Mealy Machine)\\nmin_rounds = 20\\nmax_rounds = 250\\nstrategy = 'normal' # row bisimilarity metric\\ncex_processing = 'longest_prefix' # counterexample processsing strategy\\nsamples_cex_strategy = 'bfs' # search for counterexample in the PTA \",\n   \"execution_count\": 22,\n   \"outputs\": [],\n   \"id\": \"7017e66c307952e9\"\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"cell_type\": \"code\",\n   \"source\": [\n    \"# load the example that we want to learn as MDP\\n\",\n    \"mdp = load_automaton_from_file(f'../DotModels/MDPs/{example}.dot', automaton_type='mdp')\\n\",\n    \"# get its input alphabet\\n\",\n    \"input_alphabet = mdp.get_input_alphabet()\\n\",\n    \"\\n\",\n    \"# create a SUL for that system\\n\",\n    \"sul = StochasticMealySUL(mdp)\\n\",\n    \"\\n\",\n    \"# define an eq. oracle\\n\",\n    \"eq_oracle = RandomWalkEqOracle(input_alphabet, sul=sul, num_steps=200, reset_prob=0.25,\\n\",\n    \"                                           reset_after_cex=True)\"\n   ],\n   \"execution_count\": 23,\n   \"outputs\": [],\n   \"id\": \"8debfa625810ab87\"\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"cell_type\": \"code\",\n   \"source\": \"learned_stochastic_model = run_stochastic_Lstar(input_alphabet=input_alphabet, eq_oracle=eq_oracle, sul=sul,\\n                                       min_rounds=min_rounds, max_rounds=max_rounds,\\n                                       automaton_type=automaton_type, strategy=strategy, cex_processing=cex_processing,\\n                                       samples_cex_strategy=samples_cex_strategy, target_unambiguity=0.99)\",\n   \"execution_count\": 24,\n   \"outputs\": [\n    {\n     \"output_type\": \"stream\",\n     \"text\": \"Hypothesis: 1: 1 states.\\nHypothesis: 2: 2 states.\\nHypothesis: 3: 5 states.\\nHypothesis: 4: 7 states.\\nHypothesis: 5: 9 states.\\nUnambiguous rows: 71.74%; 33 out of 46\\nHypothesis: 6: 10 states.\\nHypothesis: 7: 12 states.\\nHypothesis: 8: 15 states.\\nHypothesis: 9: 18 states.\\nHypothesis: 10: 19 states.\\nUnambiguous rows: 72.73%; 88 out of 121\\nHypothesis: 11: 19 states.\\nHypothesis: 12: 19 states.\\nHypothesis: 13: 19 states.\\nHypothesis: 14: 19 states.\\nHypothesis: 15: 19 states.\\nUnambiguous rows: 88.43%; 107 out of 121\\nHypothesis: 16: 19 states.\\nHypothesis: 17: 19 states.\\nHypothesis: 18: 19 states.\\nHypothesis: 19: 19 states.\\nHypothesis: 20: 19 states.\\nUnambiguous rows: 95.04%; 115 out of 121\\nHypothesis: 21: 19 states.\\nHypothesis: 22: 19 states.\\nHypothesis: 23: 19 states.\\nHypothesis: 24: 19 states.\\nHypothesis: 25: 19 states.\\nUnambiguous rows: 97.52%; 118 out of 121\\nHypothesis: 26: 19 states.\\nHypothesis: 27: 19 states.\\n-----------------------------------\\nLearning Finished.\\nLearning Rounds:  27\\nNumber of states: 19\\nTime (in seconds)\\n  Total                : 4.58\\n  Learning algorithm   : 4.52\\n  Conformance checking : 0.06\\nLearning Algorithm\\n # Membership Queries  : 22516\\n # Steps               : 131478\\nEquivalence Query\\n # Membership Queries  : 1\\n # Steps               : 3\\n-----------------------------------\\n\",\n     \"name\": \"stdout\"\n    }\n   ],\n   \"id\": \"5835c30b95bc5ea2\"\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"cell_type\": \"code\",\n   \"source\": \"# If we have learned a Stochastic Mealy Machine, transform it in the equivalent MDP\\nif isinstance(learned_stochastic_model, StochasticMealyMachine):\\n    learned_stochastic_model = smm_to_mdp_conversion(learned_stochastic_model)\",\n   \"execution_count\": 25,\n   \"outputs\": [],\n   \"id\": \"d41b04e3ac586ddf\"\n  },\n  {\n   \"metadata\": {\n    \"trusted\": true\n   },\n   \"cell_type\": \"code\",\n   \"source\": \"# Translate MDP into PRISM format that can be used for model checking\\nprism_repr = mdp_2_prism_format(learned_stochastic_model, f'learned_model_{example}')\\n\\nprint(prism_repr)\",\n   \"execution_count\": 26,\n   \"outputs\": [\n    {\n     \"output_type\": \"stream\",\n     \"text\": \"mdp\\nmodule learned_model_first_grid\\nloc : [0..36] init 0;\\n[East] loc=0 -> \\n 1.0 : (loc'=3);\\n[North] loc=0 -> \\n 1.0 : (loc'=2);\\n[South] loc=0 -> \\n 1.0 : (loc'=2);\\n[West] loc=0 -> \\n 1.0 : (loc'=2);\\n[East] loc=1 -> \\n 1.0 : (loc'=3);\\n[North] loc=1 -> \\n 1.0 : (loc'=2);\\n[South] loc=1 -> \\n 1.0 : (loc'=2);\\n[West] loc=1 -> \\n 1.0 : (loc'=2);\\n[East] loc=2 -> \\n 1.0 : (loc'=3);\\n[North] loc=2 -> \\n 1.0 : (loc'=2);\\n[South] loc=2 -> \\n 1.0 : (loc'=2);\\n[West] loc=2 -> \\n 1.0 : (loc'=2);\\n[East] loc=3 -> \\n 1.0 : (loc'=5);\\n[North] loc=3 -> \\n 1.0 : (loc'=4);\\n[South] loc=3 -> \\n 1.0 : (loc'=4);\\n[West] loc=3 -> \\n 1.0 : (loc'=1);\\n[East] loc=4 -> \\n 1.0 : (loc'=5);\\n[North] loc=4 -> \\n 1.0 : (loc'=4);\\n[South] loc=4 -> \\n 1.0 : (loc'=4);\\n[West] loc=4 -> \\n 1.0 : (loc'=1);\\n[East] loc=5 -> \\n 0.5995554636617388 : (loc'=7) + 0.40044453633826116 : (loc'=9);\\n[North] loc=5 -> \\n 1.0 : (loc'=6);\\n[South] loc=5 -> \\n 1.0 : (loc'=6);\\n[West] loc=5 -> \\n 1.0 : (loc'=3);\\n[East] loc=6 -> \\n 0.5995554636617388 : (loc'=7) + 0.40044453633826116 : (loc'=9);\\n[North] loc=6 -> \\n 1.0 : (loc'=6);\\n[South] loc=6 -> \\n 1.0 : (loc'=6);\\n[West] loc=6 -> \\n 1.0 : (loc'=3);\\n[East] loc=7 -> \\n 1.0 : (loc'=8);\\n[North] loc=7 -> \\n 1.0 : (loc'=8);\\n[South] loc=7 -> \\n 1.0 : (loc'=9);\\n[West] loc=7 -> \\n 1.0 : (loc'=5);\\n[East] loc=8 -> \\n 1.0 : (loc'=8);\\n[North] loc=8 -> \\n 1.0 : (loc'=8);\\n[South] loc=8 -> \\n 1.0 : (loc'=9);\\n[West] loc=8 -> \\n 1.0 : (loc'=5);\\n[East] loc=9 -> \\n 0.6279620853080569 : (loc'=32) + 0.37203791469194314 : (loc'=26);\\n[North] loc=9 -> \\n 0.5089285714285714 : (loc'=7) + 0.49107142857142855 : (loc'=5);\\n[South] loc=9 -> \\n 1.0 : (loc'=11);\\n[West] loc=9 -> \\n 1.0 : (loc'=10);\\n[East] loc=10 -> \\n 0.6279620853080569 : (loc'=32) + 0.37203791469194314 : (loc'=26);\\n[North] loc=10 -> \\n 0.5089285714285714 : (loc'=7) + 0.49107142857142855 : (loc'=5);\\n[South] loc=10 -> \\n 1.0 : (loc'=11);\\n[West] loc=10 -> \\n 1.0 : (loc'=10);\\n[East] loc=11 -> \\n 0.19294117647058823 : (loc'=32) + 0.8070588235294117 : (loc'=26);\\n[North] loc=11 -> \\n 1.0 : (loc'=9);\\n[South] loc=11 -> \\n 0.3713670613562971 : (loc'=19) + 0.628632938643703 : (loc'=22);\\n[West] loc=11 -> \\n 0.7993691957245488 : (loc'=12) + 0.2006308042754512 : (loc'=19);\\n[East] loc=12 -> \\n 1.0 : (loc'=11);\\n[North] loc=12 -> \\n 1.0 : (loc'=13);\\n[South] loc=12 -> \\n 1.0 : (loc'=19);\\n[West] loc=12 -> \\n 0.6083883129123469 : (loc'=14) + 0.39161168708765315 : (loc'=16);\\n[East] loc=13 -> \\n 1.0 : (loc'=11);\\n[North] loc=13 -> \\n 1.0 : (loc'=13);\\n[South] loc=13 -> \\n 1.0 : (loc'=19);\\n[West] loc=13 -> \\n 0.6083883129123469 : (loc'=14) + 0.39161168708765315 : (loc'=16);\\n[East] loc=14 -> \\n 0.8354430379746836 : (loc'=12) + 0.16455696202531644 : (loc'=19);\\n[North] loc=14 -> \\n 1.0 : (loc'=15);\\n[South] loc=14 -> \\n 0.821078431372549 : (loc'=16) + 0.06372549019607843 : (loc'=19) + 0.11519607843137254 : (loc'=24);\\n[West] loc=14 -> \\n 0.24579489962018447 : (loc'=24) + 0.7542051003798155 : (loc'=18);\\n[East] loc=15 -> \\n 0.8354430379746836 : (loc'=12) + 0.16455696202531644 : (loc'=19);\\n[North] loc=15 -> \\n 1.0 : (loc'=15);\\n[South] loc=15 -> \\n 0.821078431372549 : (loc'=16) + 0.06372549019607843 : (loc'=19) + 0.11519607843137254 : (loc'=24);\\n[West] loc=15 -> \\n 0.24579489962018447 : (loc'=24) + 0.7542051003798155 : (loc'=18);\\n[East] loc=16 -> \\n 1.0 : (loc'=19);\\n[North] loc=16 -> \\n 0.19704433497536947 : (loc'=18) + 0.541871921182266 : (loc'=14) + 0.26108374384236455 : (loc'=12);\\n[South] loc=16 -> \\n 0.7495840266222962 : (loc'=21) + 0.12562396006655574 : (loc'=35) + 0.12479201331114809 : (loc'=30);\\n[West] loc=16 -> \\n 0.6243386243386243 : (loc'=24) + 0.2328042328042328 : (loc'=18) + 0.14285714285714285 : (loc'=35);\\n[East] loc=17 -> \\n 0.5860655737704918 : (loc'=14) + 0.4139344262295082 : (loc'=16);\\n[North] loc=17 -> \\n 1.0 : (loc'=17);\\n[South] loc=17 -> \\n 0.6308724832214765 : (loc'=24) + 0.3691275167785235 : (loc'=16);\\n[West] loc=17 -> \\n 1.0 : (loc'=17);\\n[East] loc=18 -> \\n 0.5860655737704918 : (loc'=14) + 0.4139344262295082 : (loc'=16);\\n[North] loc=18 -> \\n 1.0 : (loc'=17);\\n[South] loc=18 -> \\n 0.6308724832214765 : (loc'=24) + 0.3691275167785235 : (loc'=16);\\n[West] loc=18 -> \\n 1.0 : (loc'=17);\\n[East] loc=19 -> \\n 0.20967741935483872 : (loc'=26) + 0.5913978494623656 : (loc'=22) + 0.1989247311827957 : (loc'=11);\\n[North] loc=19 -> \\n 0.8131487889273357 : (loc'=12) + 0.06920415224913495 : (loc'=14) + 0.11764705882352941 : (loc'=11);\\n[South] loc=19 -> \\n 0.6 : (loc'=30) + 0.19777777777777777 : (loc'=21) + 0.20222222222222222 : (loc'=28);\\n[West] loc=19 -> \\n 0.8009259259259259 : (loc'=16) + 0.09259259259259259 : (loc'=21) + 0.10648148148148148 : (loc'=14);\\n[East] loc=20 -> \\n 0.4230769230769231 : (loc'=19) + 0.5769230769230769 : (loc'=30);\\n[North] loc=20 -> \\n 0.8014184397163121 : (loc'=16) + 0.1182033096926714 : (loc'=19) + 0.08037825059101655 : (loc'=24);\\n[South] loc=20 -> \\n 1.0 : (loc'=20);\\n[West] loc=20 -> \\n 0.7368421052631579 : (loc'=35) + 0.2631578947368421 : (loc'=24);\\n[East] loc=21 -> \\n 0.4230769230769231 : (loc'=19) + 0.5769230769230769 : (loc'=30);\\n[North] loc=21 -> \\n 0.8014184397163121 : (loc'=16) + 0.1182033096926714 : (loc'=19) + 0.08037825059101655 : (loc'=24);\\n[South] loc=21 -> \\n 1.0 : (loc'=20);\\n[West] loc=21 -> \\n 0.7368421052631579 : (loc'=35) + 0.2631578947368421 : (loc'=24);\\n[East] loc=22 -> \\n 1.0 : (loc'=23);\\n[North] loc=22 -> \\n 1.0 : (loc'=11);\\n[South] loc=22 -> \\n 0.1893939393939394 : (loc'=30) + 0.8106060606060606 : (loc'=28);\\n[West] loc=22 -> \\n 1.0 : (loc'=19);\\n[East] loc=23 -> \\n 1.0 : (loc'=23);\\n[North] loc=23 -> \\n 1.0 : (loc'=11);\\n[South] loc=23 -> \\n 0.1893939393939394 : (loc'=30) + 0.8106060606060606 : (loc'=28);\\n[West] loc=23 -> \\n 1.0 : (loc'=19);\\n[East] loc=24 -> \\n 0.8302752293577982 : (loc'=16) + 0.0963302752293578 : (loc'=14) + 0.07339449541284404 : (loc'=21);\\n[North] loc=24 -> \\n 0.6976744186046512 : (loc'=18) + 0.3023255813953488 : (loc'=14);\\n[South] loc=24 -> \\n 0.6759259259259259 : (loc'=35) + 0.32407407407407407 : (loc'=21);\\n[West] loc=24 -> \\n 1.0 : (loc'=25);\\n[East] loc=25 -> \\n 0.8302752293577982 : (loc'=16) + 0.0963302752293578 : (loc'=14) + 0.07339449541284404 : (loc'=21);\\n[North] loc=25 -> \\n 0.6976744186046512 : (loc'=18) + 0.3023255813953488 : (loc'=14);\\n[South] loc=25 -> \\n 0.6759259259259259 : (loc'=35) + 0.32407407407407407 : (loc'=21);\\n[West] loc=25 -> \\n 1.0 : (loc'=25);\\n[East] loc=26 -> \\n 1.0 : (loc'=27);\\n[North] loc=26 -> \\n 0.36363636363636365 : (loc'=9) + 0.6363636363636364 : (loc'=32);\\n[South] loc=26 -> \\n 1.0 : (loc'=27);\\n[West] loc=26 -> \\n 1.0 : (loc'=11);\\n[East] loc=27 -> \\n 1.0 : (loc'=27);\\n[North] loc=27 -> \\n 0.36363636363636365 : (loc'=9) + 0.6363636363636364 : (loc'=32);\\n[South] loc=27 -> \\n 1.0 : (loc'=27);\\n[West] loc=27 -> \\n 1.0 : (loc'=11);\\n[East] loc=28 -> \\n 1.0 : (loc'=29);\\n[North] loc=28 -> \\n 0.5853658536585366 : (loc'=22) + 0.4146341463414634 : (loc'=19);\\n[South] loc=28 -> \\n 1.0 : (loc'=29);\\n[West] loc=28 -> \\n 0.36065573770491804 : (loc'=19) + 0.639344262295082 : (loc'=30);\\n[East] loc=29 -> \\n 1.0 : (loc'=29);\\n[North] loc=29 -> \\n 0.5853658536585366 : (loc'=22) + 0.4146341463414634 : (loc'=19);\\n[South] loc=29 -> \\n 1.0 : (loc'=29);\\n[West] loc=29 -> \\n 0.36065573770491804 : (loc'=19) + 0.639344262295082 : (loc'=30);\\n[East] loc=30 -> \\n 0.8211382113821138 : (loc'=26) + 0.17886178861788618 : (loc'=22);\\n[North] loc=30 -> \\n 1.0 : (loc'=19);\\n[South] loc=30 -> \\n 1.0 : (loc'=31);\\n[West] loc=30 -> \\n 0.7352941176470589 : (loc'=21) + 0.2647058823529412 : (loc'=16);\\n[East] loc=31 -> \\n 0.8211382113821138 : (loc'=26) + 0.17886178861788618 : (loc'=22);\\n[North] loc=31 -> \\n 1.0 : (loc'=19);\\n[South] loc=31 -> \\n 1.0 : (loc'=31);\\n[West] loc=31 -> \\n 0.7352941176470589 : (loc'=21) + 0.2647058823529412 : (loc'=16);\\n[East] loc=32 -> \\n 1.0 : (loc'=33);\\n[North] loc=32 -> \\n 1.0 : (loc'=33);\\n[South] loc=32 -> \\n 0.7950819672131147 : (loc'=26) + 0.20491803278688525 : (loc'=11);\\n[West] loc=32 -> \\n 1.0 : (loc'=9);\\n[East] loc=33 -> \\n 1.0 : (loc'=33);\\n[North] loc=33 -> \\n 1.0 : (loc'=33);\\n[South] loc=33 -> \\n 0.7950819672131147 : (loc'=26) + 0.20491803278688525 : (loc'=11);\\n[West] loc=33 -> \\n 1.0 : (loc'=9);\\n[East] loc=34 -> \\n 0.6730769230769231 : (loc'=21) + 0.3269230769230769 : (loc'=16);\\n[North] loc=34 -> \\n 0.34782608695652173 : (loc'=16) + 0.6521739130434783 : (loc'=24);\\n[South] loc=34 -> \\n 1.0 : (loc'=34);\\n[West] loc=34 -> \\n 1.0 : (loc'=34);\\n[East] loc=35 -> \\n 0.6730769230769231 : (loc'=21) + 0.3269230769230769 : (loc'=16);\\n[North] loc=35 -> \\n 0.34782608695652173 : (loc'=16) + 0.6521739130434783 : (loc'=24);\\n[South] loc=35 -> \\n 1.0 : (loc'=34);\\n[West] loc=35 -> \\n 1.0 : (loc'=34);\\nendmodule\\nlabel \\\"_start\\\" = loc=0;\\nlabel \\\"_\\\" = loc=0;\\nlabel \\\"concrete\\\" = loc=1|loc=3|loc=5|loc=9|loc=11|loc=19;\\nlabel \\\"wall\\\" = loc=2|loc=4|loc=6|loc=8|loc=10|loc=13|loc=15|loc=17|loc=20|loc=23|loc=25|loc=27|loc=29|loc=31|loc=33|loc=34;\\nlabel \\\"mud\\\" = loc=7|loc=14|loc=22|loc=24|loc=30|loc=32;\\nlabel \\\"grass\\\" = loc=12|loc=16|loc=26|loc=28|loc=35;\\nlabel \\\"sand\\\" = loc=18|loc=21;\\nlabel \\\"goal\\\" = loc=34|loc=35;\\n\\n\",\n     \"name\": \"stdout\"\n    }\n   ],\n   \"id\": \"ec88d7c553737915\"\n  }\n ],\n \"metadata\": {\n  \"kernelspec\": {\n   \"name\": \"python3\",\n   \"display_name\": \"Python 3\",\n   \"language\": \"python\"\n  },\n  \"language_info\": {\n   \"name\": \"python\",\n   \"version\": \"3.7.10\",\n   \"mimetype\": \"text/x-python\",\n   \"codemirror_mode\": {\n    \"name\": \"ipython\",\n    \"version\": 3\n   },\n   \"pygments_lexer\": \"ipython3\",\n   \"nbconvert_exporter\": \"python\",\n   \"file_extension\": \".py\"\n  }\n },\n \"nbformat\": 4,\n \"nbformat_minor\": 5\n}\n"
  },
  {
    "path": "setup.py",
    "content": "from setuptools import setup\nfrom os import path\n\nthis_directory = path.abspath(path.dirname(__file__))\nwith open(path.join(this_directory, 'README.md'), encoding='utf-8') as f:\n    long_description = f.read()\n\nsetup(\n    name='aalpy',\n    version='1.5.3',\n    packages=['aalpy', 'aalpy.base', 'aalpy.SULs', 'aalpy.utils', 'aalpy.oracles', 'aalpy.automata',\n              'aalpy.learning_algs', 'aalpy.learning_algs.stochastic', 'aalpy.learning_algs.deterministic',\n              'aalpy.learning_algs.non_deterministic', 'aalpy.learning_algs.general_passive', 'aalpy.learning_algs.adaptive',\n              'aalpy.learning_algs.stochastic_passive', 'aalpy.learning_algs.deterministic_passive'],\n    url='https://github.com/DES-Lab/AALpy',\n    license='MIT',\n    license_files=('LICENSE.txt',),\n    long_description=long_description,\n    long_description_content_type='text/markdown',\n    author='Edi Muskardin',\n    author_email='edi.muskardin@silicon-austria.com',\n    description='An active automata learning library',\n    classifiers=[\n        \"Programming Language :: Python :: 3\",\n        \"License :: OSI Approved :: MIT License\",\n        \"Operating System :: OS Independent\"\n    ],\n    install_requires=['pydot'],\n    python_requires=\">=3.6\",\n)\n\n# python setup.py sdist\n# pip wheel . -w dist\n# twine upload dist/*\n\n# for test pypi\n# twine upload --repository testpypi dist/*\n"
  },
  {
    "path": "tests/oracles/test_baseOracle.py",
    "content": "import unittest\n\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.learning_algs import run_Lstar\nfrom aalpy.oracles import WMethodEqOracle\nfrom aalpy.utils import generate_random_dfa\n\n\nclass BaseOracleTests(unittest.TestCase):\n    \"\"\"\n    Abstract class for testing oracles.\n    \"\"\"\n\n    def generate_dfa_suls(self, number_of_states=10, alphabet_size=10, num_accepting_states=5):\n        \"\"\"\n        Creates a random DFA and creates a learning and validation SUL, both SUL are identical.\n\n        Args:\n            number_of_states: number of states (Default value = 10)\n            alphabet_size: size of alphabet (Default value = 10)\n            num_accepting_states: number of accepting states (Default value = 5)\n\n        Returns: learning_sul, validation_sul, alphabet\n\n        \"\"\"\n        alphabet = [*range(0, alphabet_size)]\n\n        dfa = generate_random_dfa(number_of_states, alphabet, num_accepting_states)\n\n        learning_sul = AutomatonSUL(dfa)\n        validation_sul = AutomatonSUL(dfa)\n\n        return learning_sul, validation_sul, alphabet\n\n    def test_validate_eq_oracle(self, alphabet, eq_oracle, learning_sul, validation_sul):\n        \"\"\"\n        Validates the correctness of the given eq_oracle via WMethodEqOracle.\n\n        Args:\n            alphabet: input alphabet\n            eq_oracle: oracle to be validated\n            learning_sul:the SUL form the eq_oracle\n            validation_sul: identical SUL that was not used to learn the oracle\n\n        Returns:\n\n        \"\"\"\n        learned_model = run_Lstar(\n            alphabet, learning_sul, eq_oracle, 'dfa', print_level=2)\n\n        validation_eq_oracle = WMethodEqOracle(\n            alphabet, validation_sul, max_number_of_states=len(learned_model.states) + 2)\n        self.assertIsNone(validation_eq_oracle.find_cex(\n            learned_model), \"Counterexample found by WMethodEqOracle\")\n"
  },
  {
    "path": "tests/oracles/test_kWayTransitionCoverageEqOracle.py",
    "content": "import unittest\n\nfrom aalpy.oracles import KWayTransitionCoverageEqOracle\nfrom tests.oracles.test_baseOracle import BaseOracleTests\n\n\nclass KWayTransitionCoverageEqOracleTests(BaseOracleTests):\n\n    def test_default(self):\n        learning_sul, validation_sul, alphabet = self.generate_dfa_suls()\n\n        eq_oracle = KWayTransitionCoverageEqOracle(alphabet, learning_sul)\n        self.test_validate_eq_oracle(alphabet, eq_oracle, learning_sul, validation_sul)\n\n    def test_k_4(self):\n        learning_sul, validation_sul, alphabet = self.generate_dfa_suls(5, 5, 2)\n\n        eq_oracle = KWayTransitionCoverageEqOracle(\n            alphabet, learning_sul, k=4)\n        self.test_validate_eq_oracle(alphabet, eq_oracle, learning_sul, validation_sul)\n\n    def test_method_prefix(self):\n        learning_sul, validation_sul, alphabet = self.generate_dfa_suls()\n\n        eq_oracle = KWayTransitionCoverageEqOracle(\n            alphabet, learning_sul, method='prefix')\n        self.test_validate_eq_oracle(alphabet, eq_oracle, learning_sul, validation_sul)\n\n    @unittest.expectedFailure\n    def test_max_number_of_steps_10(self):\n        learning_sul, validation_sul, alphabet = self.generate_dfa_suls(50, 4, 4)\n\n        eq_oracle = KWayTransitionCoverageEqOracle(\n            alphabet, learning_sul, max_number_of_steps=10, max_path_len=10)\n        self.test_validate_eq_oracle(alphabet, eq_oracle, learning_sul, validation_sul)\n\n    def test_default_large_dfa(self):\n        learning_sul, validation_sul, alphabet = self.generate_dfa_suls(50, 10, 10)\n\n        eq_oracle = KWayTransitionCoverageEqOracle(alphabet, learning_sul)\n        self.test_validate_eq_oracle(alphabet, eq_oracle, learning_sul, validation_sul)\n"
  },
  {
    "path": "tests/test_charSet.py",
    "content": "import unittest\n\nfrom aalpy.utils import get_Angluin_dfa, load_automaton_from_file\nfrom aalpy.utils.HelperFunctions import all_suffixes\n\n\nclass TestCharSet(unittest.TestCase):\n\n    def get_test_automata(self):\n        return {\"angluin_dfa\": get_Angluin_dfa(),\n                \"angluin_mealy\": load_automaton_from_file('../DotModels/Angluin_Mealy.dot', automaton_type='mealy'),\n                \"angluin_moore\": load_automaton_from_file('../DotModels/Angluin_Moore.dot', automaton_type='moore'),\n                \"mqtt\": load_automaton_from_file('../DotModels/MQTT/emqtt__two_client_will_retain.dot',\n                                                 automaton_type='mealy'),\n                \"openssl\": load_automaton_from_file('../DotModels/TLS/OpenSSL_1.0.2_server_regular.dot',\n                                                    automaton_type='mealy'),\n                \"tcp_server\": load_automaton_from_file('../DotModels/TCP/TCP_Linux_Client.dot',\n                                                       automaton_type='mealy')}\n\n    def test_can_differentiate(self):\n        automata = self.get_test_automata()\n        for init_with_alphabet in [True, False]:\n            for (online_suffix_closure, split_all_blocks) in [(False, False), (False, True), (True, False),\n                                                              (True, True)]:\n                for test_aut_name in automata:\n                    print(f\"Testing with {test_aut_name}\")\n                    test_aut = automata[test_aut_name]\n                    char_set_init = list(map(lambda input: tuple([input]), test_aut.get_input_alphabet())) \\\n                        if init_with_alphabet else None\n                    if \"dfa\" in test_aut_name or \"moore\" in test_aut_name:\n                        char_set_init = [] if char_set_init is None else char_set_init\n                        char_set_init.append(())\n                    char_set = test_aut.compute_characterization_set(char_set_init=char_set_init,\n                                                                     online_suffix_closure=online_suffix_closure,\n                                                                     split_all_blocks=split_all_blocks)\n                    print(f\"Char. set {char_set}\")\n                    all_responses = set()\n                    for s in test_aut.states:\n                        responses_from_s = []\n                        for c in char_set:\n                            responses_from_s.append(tuple(test_aut.compute_output_seq(s, c)))\n                        all_responses.add(tuple(responses_from_s))\n\n                    # every state must have a unique response to the whole characterization set\n                    assert len(all_responses) == len(test_aut.states)\n\n    def test_suffix_closed(self):\n        automata = self.get_test_automata()\n        for init_with_alphabet in [True, False]:\n            online_suffix_closure = True\n            for split_all_blocks in [True, False]:\n                for test_aut_name in automata:\n                    print(f\"Testing with {test_aut_name}\")\n                    test_aut = automata[test_aut_name]\n                    char_set_init = list(map(lambda input: tuple([input]), test_aut.get_input_alphabet())) \\\n                        if init_with_alphabet else None\n                    if \"dfa\" in test_aut_name or \"moore\" in test_aut_name:\n                        char_set_init = [] if char_set_init is None else char_set_init\n                        char_set_init.append(())\n                    char_set = test_aut.compute_characterization_set(char_set_init=char_set_init,\n                                                                     online_suffix_closure=online_suffix_closure,\n                                                                     split_all_blocks=split_all_blocks)\n                    print(f\"Char. set {char_set}\")\n                    for s in char_set:\n                        for suffix in all_suffixes(s):\n                            if suffix not in char_set:\n                                print(suffix)\n                            assert suffix in char_set\n"
  },
  {
    "path": "tests/test_deterministic.py",
    "content": "import unittest\n\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.automata import Dfa, MealyMachine, MooreMachine\nfrom aalpy.learning_algs import run_Lstar\nfrom aalpy.oracles import WMethodEqOracle, WpMethodEqOracle, RandomWalkEqOracle, StatePrefixEqOracle, TransitionFocusOracle, \\\n    RandomWMethodEqOracle, BreadthFirstExplorationEqOracle, RandomWordEqOracle, CacheBasedEqOracle, \\\n    KWayStateCoverageEqOracle, RandomWpMethodEqOracle\nfrom aalpy.utils import get_Angluin_dfa, load_automaton_from_file\nfrom aalpy.utils.ModelChecking import bisimilar\n\ncorrect_automata = {Dfa: get_Angluin_dfa(),\n                    MealyMachine: load_automaton_from_file('../DotModels/Angluin_Mealy.dot', automaton_type='mealy'),\n                    MooreMachine: load_automaton_from_file('../DotModels/Angluin_Moore.dot', automaton_type='moore')}\n\n\nclass DeterministicTest(unittest.TestCase):\n\n    def prove_equivalence(self, learned_automaton):\n\n        correct_automaton = correct_automata[learned_automaton.__class__]\n\n        # only work if correct automaton is already minimal\n        if len(learned_automaton.states) != len(correct_automaton.states):\n            print(len(learned_automaton.states), len(correct_automaton.states))\n            return False\n\n        return bisimilar(correct_automaton, learned_automaton)\n\n    def test_closing_strategies(self):\n\n        dfa = get_Angluin_dfa()\n\n        alphabet = dfa.get_input_alphabet()\n\n        closing_strategies = ['shortest_first', 'longest_first', 'single']\n        automata_type = ['dfa', 'mealy', 'moore']\n\n        for automata in automata_type:\n            for closing in closing_strategies:\n                sul = AutomatonSUL(dfa)\n                eq_oracle = RandomWalkEqOracle(alphabet, sul, 1000)\n\n                learned_dfa = run_Lstar(alphabet, sul, eq_oracle, automaton_type=automata, closing_strategy=closing,\n                                        cache_and_non_det_check=True, cex_processing='rs', print_level=0)\n\n                is_eq = self.prove_equivalence(learned_dfa)\n                if not is_eq:\n                    assert False\n\n        assert True\n\n    def test_suffix_closedness(self):\n\n        angluin_example = get_Angluin_dfa()\n\n        alphabet = angluin_example.get_input_alphabet()\n\n        suffix_closedness = [True, False]\n        automata_type = ['dfa', 'mealy', 'moore']\n\n        for automata in automata_type:\n            for s_closed in suffix_closedness:\n                sul = AutomatonSUL(angluin_example)\n                eq_oracle = RandomWalkEqOracle(alphabet, sul, 500)\n\n                learned_dfa = run_Lstar(alphabet, sul, eq_oracle, automaton_type=automata,\n                                        all_prefixes_in_obs_table=True,\n                                        e_set_suffix_closed=s_closed,\n                                        cache_and_non_det_check=True, cex_processing='rs', print_level=0)\n\n                is_eq = self.prove_equivalence(learned_dfa)\n                if not is_eq:\n                    assert False\n\n        assert True\n\n    def test_cex_processing(self):\n        angluin_example = get_Angluin_dfa()\n\n        alphabet = angluin_example.get_input_alphabet()\n\n        cex_processing = [None, 'longest_prefix', 'rs']\n        automata_type = ['dfa', 'mealy', 'moore']\n\n        for automata in automata_type:\n            for cex in cex_processing:\n                sul = AutomatonSUL(angluin_example)\n                eq_oracle = RandomWalkEqOracle(alphabet, sul, 500)\n\n                learned_dfa = run_Lstar(alphabet, sul, eq_oracle, automaton_type=automata,\n                                        cache_and_non_det_check=True, cex_processing=cex, print_level=0)\n\n                is_eq = self.prove_equivalence(learned_dfa)\n                if not is_eq:\n                    assert False\n\n        assert True\n\n    def test_eq_oracles(self):\n        angluin_example = get_Angluin_dfa()\n\n        alphabet = angluin_example.get_input_alphabet()\n\n        automata_type = ['dfa', 'mealy', 'moore']\n\n        for automata in automata_type:\n            sul = AutomatonSUL(angluin_example)\n\n            random_walk_eq_oracle = RandomWalkEqOracle(alphabet, sul, 5000, reset_after_cex=True)\n            state_origin_eq_oracle = StatePrefixEqOracle(alphabet, sul, walks_per_state=10, walk_len=50)\n            tran_cov_eq_oracle = TransitionFocusOracle(alphabet, sul, num_random_walks=200, walk_len=30,\n                                                       same_state_prob=0.3)\n            w_method_eq_oracle = WMethodEqOracle(alphabet, sul, max_number_of_states=len(angluin_example.states) + 1)\n            wp_method_eq_oracle = WpMethodEqOracle(alphabet, sul, max_number_of_states=len(angluin_example.states) + 1)\n            rwp_method_eq_oracle = RandomWpMethodEqOracle(alphabet, sul)\n            random_W_method_eq_oracle = RandomWMethodEqOracle(alphabet, sul, walks_per_state=10, walk_len=50)\n            bf_exploration_eq_oracle = BreadthFirstExplorationEqOracle(alphabet, sul, 4)\n            random_word_eq_oracle = RandomWordEqOracle(alphabet, sul)\n            cache_based_eq_oracle = CacheBasedEqOracle(alphabet, sul)\n            kWayStateCoverageEqOracle = KWayStateCoverageEqOracle(alphabet, sul)\n\n            oracles = [random_walk_eq_oracle, random_word_eq_oracle,\n                       random_W_method_eq_oracle, w_method_eq_oracle,\n                       wp_method_eq_oracle, rwp_method_eq_oracle,\n                       kWayStateCoverageEqOracle, cache_based_eq_oracle,\n                       bf_exploration_eq_oracle, tran_cov_eq_oracle,\n                       state_origin_eq_oracle]\n\n            for oracle in oracles:\n                sul = AutomatonSUL(angluin_example)\n                oracle.sul = sul\n\n                learned_model = run_Lstar(alphabet, sul, oracle, automaton_type=automata,\n                                          cache_and_non_det_check=True, cex_processing=None, print_level=0)\n\n                is_eq = self.prove_equivalence(learned_model)\n                if not is_eq:\n                    print(learned_model)\n                    print(oracle, automata)\n                    assert False\n\n        assert True\n\n    def test_all_configuration_combinations(self):\n        angluin_example = get_Angluin_dfa()\n\n        alphabet = angluin_example.get_input_alphabet()\n\n        automata_type = ['dfa', 'mealy', 'moore']\n        closing_strategies = ['shortest_first', 'longest_first', 'single']\n        cex_processing = [None, 'longest_prefix', 'rs']\n        suffix_closedness = [True, False]\n        caching = [True, False]\n\n        for automata in automata_type:\n            for closing in closing_strategies:\n                for cex in cex_processing:\n                    for suffix in suffix_closedness:\n                        for cache in caching:\n                            sul = AutomatonSUL(angluin_example)\n\n                            random_walk_eq_oracle = RandomWalkEqOracle(alphabet, sul, 5000, reset_after_cex=True)\n                            state_origin_eq_oracle = StatePrefixEqOracle(alphabet, sul, walks_per_state=10, walk_len=50)\n                            tran_cov_eq_oracle = TransitionFocusOracle(alphabet, sul, num_random_walks=200, walk_len=30,\n                                                                       same_state_prob=0.3)\n                            w_method_eq_oracle = WMethodEqOracle(alphabet, sul,\n                                                                 max_number_of_states=len(angluin_example.states))\n                            wp_method_eq_oracle = WpMethodEqOracle(alphabet, sul,\n                                                                 max_number_of_states=len(angluin_example.states))\n                            rwp_method_eq_oracle = RandomWpMethodEqOracle(alphabet, sul)\n                            random_W_method_eq_oracle = RandomWMethodEqOracle(alphabet, sul,\n                                                                              walks_per_state=10, walk_len=50)\n                            bf_exploration_eq_oracle = BreadthFirstExplorationEqOracle(alphabet, sul, 4)\n                            random_word_eq_oracle = RandomWordEqOracle(alphabet, sul)\n                            cache_based_eq_oracle = CacheBasedEqOracle(alphabet, sul)\n\n                            oracles = [random_walk_eq_oracle, random_word_eq_oracle, random_W_method_eq_oracle,\n                                       rwp_method_eq_oracle, cache_based_eq_oracle, bf_exploration_eq_oracle, \n                                       wp_method_eq_oracle, tran_cov_eq_oracle, w_method_eq_oracle,\n                                       state_origin_eq_oracle]\n\n                            if not cache:\n                                oracles.remove(cache_based_eq_oracle)\n\n                            for oracle in oracles:\n                                sul = AutomatonSUL(angluin_example)\n                                oracle.sul = sul\n\n                                learned_model = run_Lstar(alphabet, sul, oracle, automaton_type=automata,\n                                                          closing_strategy=closing,\n                                                          cache_and_non_det_check=cache,\n                                                          cex_processing=cex,\n                                                          e_set_suffix_closed=suffix,\n                                                          print_level=0)\n\n                                is_eq = self.prove_equivalence(learned_model)\n                                if not is_eq:\n                                    print(oracle, automata)\n                                    assert False\n\n        assert True\n"
  },
  {
    "path": "tests/test_deterministic_passive.py",
    "content": "import unittest\nfrom itertools import product\n\nimport aalpy\nfrom aalpy.automata import Dfa, MooreMachine, MealyMachine\nfrom aalpy.learning_algs import run_RPNI\nfrom aalpy.utils import load_automaton_from_file\n# from aalpy.utils.ModelChecking import bisimilar\nfrom aalpy.utils.ModelChecking import compare_automata\n\ncorrect_automata = {Dfa: load_automaton_from_file('../DotModels/SimpleABC/simple_abc_dfa.dot', automaton_type='dfa'),\n                    MooreMachine: load_automaton_from_file('../DotModels/SimpleABC/simple_abc_moore.dot', automaton_type='moore'),\n                    MealyMachine: load_automaton_from_file('../DotModels/SimpleABC/simple_abc_mealy.dot', automaton_type='mealy')}\n\n\nclass DeterministicPassiveTest(unittest.TestCase):\n\n    def prove_equivalence(self, learned_automaton):\n\n        correct_automaton = correct_automata[learned_automaton.__class__]\n\n        # only work if correct automaton is already minimal\n        if len(learned_automaton.states) != len(correct_automaton.states):\n            print(len(learned_automaton.states), len(correct_automaton.states))\n            return False\n\n        return correct_automaton == learned_automaton  # bisimilar\n\n    def generate_data(self, ground_truth, depth=5, step=1):\n        data = []\n        if isinstance(ground_truth, aalpy.automata.Dfa) or isinstance(ground_truth, aalpy.automata.MooreMachine):\n            data.append(((), ground_truth.initial_state.output))\n    \n        alphabet = ground_truth.get_input_alphabet()\n        for level in range(1, depth + 1, step):\n            for seq in product(alphabet, repeat=level):\n                ground_truth.reset_to_initial()\n                outputs = ground_truth.execute_sequence(ground_truth.initial_state, seq)\n                data.append((seq, outputs[-1]))\n\n        return data\n\n    def test_all_configuration_combinations(self):\n        automata_type = {Dfa: 'dfa', MooreMachine: 'moore', MealyMachine: 'mealy'}\n        algorithms = ['gsm', 'classic']\n\n        for automata in correct_automata:\n            correct_automaton = correct_automata[automata]\n            alphabet = correct_automaton.get_input_alphabet()\n            data = self.generate_data(correct_automaton, depth=3)\n            for algorithm in algorithms:\n                learned_model = run_RPNI(data,\n                                         automaton_type=automata_type[automata],\n                                         algorithm=algorithm,\n                                         print_info=False)\n\n                is_eq = self.prove_equivalence(learned_model)\n                if not is_eq:\n                    print(\"Learned:\")\n                    print(learned_model)\n                    print(algorithm, automata_type[automata])\n                    cex = compare_automata(learned_model, correct_automaton)\n                    print(cex)\n                    assert False\n\n        assert True\n\n    def test_all_configuration_combinations_input_incomplete_data(self):\n        automata_type = {Dfa: 'dfa', MooreMachine: 'moore', MealyMachine: 'mealy'}\n        algorithms = ['gsm', 'classic']\n\n        for automata in correct_automata:\n            correct_automaton = correct_automata[automata]\n            alphabet = correct_automaton.get_input_alphabet()\n            data = self.generate_data(correct_automaton, depth=3, step=2)\n            if automata_type[automata] == 'moore':\n                data += [(('a', 'a', 'a', 'a'), 1), (('b', 'b', 'b', 'b'), 2), (('c', 'c', 'c', 'c'), 3)]\n            for algorithm in algorithms:\n                learned_model = run_RPNI(data,\n                                         automaton_type=automata_type[automata],\n                                         algorithm=algorithm,\n                                         print_info=False)\n\n                is_eq = self.prove_equivalence(learned_model)\n                if not is_eq:\n                    print(\"Learned:\")\n                    print(learned_model)\n                    print(algorithm, automata_type[automata])\n                    cex = compare_automata(learned_model, correct_automaton)\n                    print(cex)\n                    assert False\n\n        assert True\n"
  },
  {
    "path": "tests/test_file_operations.py",
    "content": "import unittest\n\nfrom aalpy.utils import generate_random_markov_chain, load_automaton_from_file\nfrom aalpy.utils.BenchmarkSULs import *\n\n\nclass TestFileHandler(unittest.TestCase):\n\n    def test_saving_loading(self):\n        try:\n            type_model_pairs = [\n                (\"dfa\", get_Angluin_dfa()),\n                (\"mealy\", load_automaton_from_file('../DotModels/Angluin_Mealy.dot', automaton_type='mealy')),\n                (\"moore\", load_automaton_from_file('../DotModels/Angluin_Moore.dot', automaton_type='moore')),\n                (\"onfsm\", get_benchmark_ONFSM()),\n                (\"mdp\", get_small_pomdp()),\n                (\"mdp\", load_automaton_from_file('../DotModels/MDPs/first_grid.dot', automaton_type='mdp')),\n                (\"smm\", get_faulty_coffee_machine_SMM()),\n                (\"mc\", generate_random_markov_chain(num_states=10)),\n            ]\n\n            for type, model in type_model_pairs:\n                model.save()\n                print(model)\n                loaded_model = load_automaton_from_file('LearnedModel.dot', type)\n                loaded_model.save()\n                loaded_model2 = load_automaton_from_file('LearnedModel.dot', type)\n\n                if type != 'mc':\n                    assert set(model.get_input_alphabet()) == set(loaded_model.get_input_alphabet())\n                    assert set(model.get_input_alphabet()) == set(loaded_model2.get_input_alphabet())\n\n                if type in {'dfa', 'moore', 'mealy'}:\n                    assert model.compute_characterization_set() == loaded_model2.compute_characterization_set()\n\n            assert True\n        except:\n            assert False\n"
  },
  {
    "path": "tests/test_non_deterministic.py",
    "content": "import unittest\n\n\nclass NonDeterministicTest(unittest.TestCase):\n\n    def test_non_det(self):\n\n        from aalpy.SULs import AutomatonSUL\n        from aalpy.oracles import RandomWordEqOracle, RandomWalkEqOracle\n        from aalpy.learning_algs import run_non_det_Lstar\n        from aalpy.utils import get_benchmark_ONFSM\n\n        onfsm = get_benchmark_ONFSM()\n        alphabet = onfsm.get_input_alphabet()\n\n        for _ in range(100):\n            sul = AutomatonSUL(onfsm)\n\n            oracle = RandomWordEqOracle(alphabet, sul, num_walks=500, min_walk_len=2, max_walk_len=5)\n\n            learned_onfsm = run_non_det_Lstar(alphabet, sul, oracle, n_sampling=50, print_level=0)\n\n            eq_oracle = RandomWalkEqOracle(alphabet, sul, num_steps=10000, reset_prob=0.09,\n                                                       reset_after_cex=True)\n\n            cex = eq_oracle.find_cex(learned_onfsm)\n\n            if cex or len(learned_onfsm.states) != len(onfsm.states):\n                assert False\n        assert True\n"
  },
  {
    "path": "tests/test_rwpmethod_oracle.py",
    "content": "import unittest\n\ntry:\n    from aalpy.automata import MooreMachine, MooreState\n    from aalpy.learning_algs import run_Lstar\n    from aalpy.oracles.WpMethodEqOracle import RandomWpMethodEqOracle\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.utils import visualize_automaton\nexcept ImportError:\n    import sys\n    from pathlib import Path\n\n    # if you want to run the test directly from CLI\n    # either from root or from tests folder\n    p = Path(__file__).parent.resolve()\n    sys.path.append(str(p))\n    sys.path.append(str(p.parent))\n    from aalpy.automata import MooreMachine, MooreState\n    from aalpy.learning_algs import run_Lstar\n    from aalpy.oracles.WpMethodEqOracle import RandomWpMethodEqOracle\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.utils import visualize_automaton\n\n\nclass TestRandomWpMethodOracle(unittest.TestCase):\n    @staticmethod\n    def gen_moore_from_state_setup(state_setup) -> MooreMachine:\n        # state_setup shoud map from state_id to tuple(output and transitions_dict)\n\n        # build states with state_id and output\n        states = {key: MooreState(key, val[0]) for key, val in state_setup.items()}\n\n        # add transitions to states\n        for state_id, state in states.items():\n            for _input, target_state_id in state_setup[state_id][1].items():\n                state.transitions[_input] = states[target_state_id]\n\n        # states to list\n        states = [state for state in states.values()]\n\n        # build moore machine with first state as starting state\n        mm = MooreMachine(states[0], states)\n\n        for state in states:\n            state.prefix = mm.get_shortest_path(mm.initial_state, state)\n\n        return mm\n\n    def generate_real_automata(self) -> MooreMachine:\n        state_setup = {\n            \"a\": (\"a\", {\"x\": \"b1\", \"y\": \"a\"}),\n            \"b1\": (\"b\", {\"x\": \"b2\", \"y\": \"a\"}),\n            \"b2\": (\"b\", {\"x\": \"b3\", \"y\": \"a\"}),\n            \"b3\": (\"b\", {\"x\": \"b4\", \"y\": \"a\"}),\n            \"b4\": (\"b\", {\"x\": \"c\", \"y\": \"a\"}),\n            \"c\": (\"c\", {\"x\": \"a\", \"y\": \"a\"}),\n        }\n\n        mm = self.gen_moore_from_state_setup(state_setup)\n        mm.characterization_set = mm.compute_characterization_set() + [tuple()]\n        return mm\n\n    def generate_hypothesis(self) -> MooreMachine:\n        state_setup = {\n            \"a\": (\"a\", {\"x\": \"b\", \"y\": \"a\"}),\n            \"b\": (\"b\", {\"x\": \"b\", \"y\": \"a\"}),\n        }\n\n        mm = self.gen_moore_from_state_setup(state_setup)\n        # ! computer_characterization_set does not work for Moore machines in general!\n        # mm.characterization_set = mm.compute_characterization_set() + [tuple()]\n        mm.characterization_set = [tuple(), (\"x\",), (\"y\",)]\n        return mm\n\n    def test_rwpmethod_oracle(self):\n        real = self.generate_real_automata()\n        hyp = self.generate_hypothesis()\n        # visualize_automaton(real)\n        # visualize_automaton(hyp)\n        assert set(real.get_input_alphabet()) == {\"x\", \"y\"}\n        assert set(hyp.get_input_alphabet()) == {\"x\", \"y\"}\n        assert len(real.states) == 6\n        assert len(hyp.states) == 2\n        alphabet = real.get_input_alphabet()\n        oracle = RandomWpMethodEqOracle(\n            alphabet, AutomatonSUL(real)\n        )\n        cex = oracle.find_cex(hyp)\n        assert cex is not None, \"Expected a counterexample, but got None\"\n\n    def test_rwpmethod_oracle_with_lstar(self):\n        real = self.generate_real_automata()\n        hyp = self.generate_hypothesis()\n        # visualize_automaton(real)\n        # visualize_automaton(hyp)\n        assert real.get_input_alphabet() == [\"x\", \"y\"]\n        assert hyp.get_input_alphabet() == [\"x\", \"y\"]\n        assert len(real.states) == 6\n        assert len(hyp.states) == 2\n        alphabet = real.get_input_alphabet()\n        oracle = RandomWpMethodEqOracle(\n            alphabet, AutomatonSUL(real)\n        )\n        lstar_hyp = run_Lstar(alphabet, AutomatonSUL(real), oracle, \"moore\")\n        # print(lstar_hyp)\n        # visualize_automaton(lstar_hyp)\n        assert (\n            len(lstar_hyp.states) == 6\n        ), f\"Expected {6} states got {len(lstar_hyp.states)} in lstar hypothesis\"\n\n\nif __name__ == \"__main__\":\n    unittest.main()\n"
  },
  {
    "path": "tests/test_stochastic.py",
    "content": "import unittest\n\nimport aalpy.paths\nfrom aalpy.SULs import AutomatonSUL\nfrom aalpy.learning_algs import run_stochastic_Lstar\nfrom aalpy.oracles import RandomWalkEqOracle\nfrom aalpy.utils import load_automaton_from_file\n\n\nclass StochasticTest(unittest.TestCase):\n\n    def test_learning_based_on_accuracy_based_stopping(self):\n\n        example = 'first_grid'\n        mdp = load_automaton_from_file(f'../DotModels/MDPs/{example}.dot', automaton_type='mdp')\n\n        min_rounds = 10\n        max_rounds = 500\n\n        from aalpy.automata import StochasticMealyMachine\n        from aalpy.utils import model_check_experiment, get_properties_file, \\\n            get_correct_prop_values\n        from aalpy.automata.StochasticMealyMachine import smm_to_mdp_conversion\n\n        aalpy.paths.path_to_prism = \"C:/Program Files/prism-4.6/bin/prism.bat\"\n        aalpy.paths.path_to_properties = \"../Benchmarking/prism_eval_props/\"\n\n        stopping_based_on_prop = (get_properties_file(example), get_correct_prop_values(example), 0.02)\n\n        input_alphabet = mdp.get_input_alphabet()\n\n        automaton_type = ['mdp', 'smm']\n        similarity_strategy = ['classic', 'normal', 'chi2']\n        cex_processing = [None, 'longest_prefix']\n        samples_cex_strategy = [None, 'bfs', 'random:200:0.3']\n\n        for aut_type in automaton_type:\n            for strategy in similarity_strategy:\n                for cex in cex_processing:\n                    for sample_cex in samples_cex_strategy:\n\n                        sul = AutomatonSUL(mdp)\n\n                        eq_oracle = RandomWalkEqOracle(input_alphabet, sul=sul, num_steps=200,\n                                                                   reset_prob=0.25,\n                                                                   reset_after_cex=True)\n\n                        learned_model = run_stochastic_Lstar(input_alphabet=input_alphabet, eq_oracle=eq_oracle,\n                                                             sul=sul, n_c=20,\n                                                             n_resample=1000, min_rounds=min_rounds,\n                                                             max_rounds=max_rounds,\n                                                             automaton_type=aut_type, strategy=strategy,\n                                                             cex_processing=cex,\n                                                             samples_cex_strategy=sample_cex, target_unambiguity=0.99,\n                                                             property_based_stopping=stopping_based_on_prop,\n                                                             print_level=0)\n\n                        if isinstance(learned_model, StochasticMealyMachine):\n                            mdp = smm_to_mdp_conversion(learned_model)\n                        else:\n                            mdp = learned_model\n\n                        results, diff = model_check_experiment(get_properties_file(example),\n                                                               get_correct_prop_values(example), mdp)\n\n                        for d in diff.values():\n                            if d > stopping_based_on_prop[2]:\n                                assert False\n\n        assert True\n"
  },
  {
    "path": "tests/test_wmethod_oracle.py",
    "content": "import unittest\n\ntry:\n    from aalpy.automata import MooreMachine, MooreState\n    from aalpy.learning_algs import run_Lstar\n    from aalpy.oracles.WMethodEqOracle import WMethodEqOracle\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.utils import visualize_automaton\nexcept ImportError:\n    import sys\n    from pathlib import Path\n\n    # if you want to run the test directly from CLI\n    # either from root or from tests folder\n    p = Path(__file__).parent.resolve()\n    sys.path.append(str(p))\n    sys.path.append(str(p.parent))\n    from aalpy.automata import MooreMachine, MooreState\n    from aalpy.learning_algs import run_Lstar\n    from aalpy.oracles.WMethodEqOracle import WMethodEqOracle\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.utils import visualize_automaton\n\n\nclass TestWMethodOracle(unittest.TestCase):\n    @staticmethod\n    def gen_moore_from_state_setup(state_setup) -> MooreMachine:\n        # state_setup shoud map from state_id to tuple(output and transitions_dict)\n\n        # build states with state_id and output\n        states = {key: MooreState(key, val[0]) for key, val in state_setup.items()}\n\n        # add transitions to states\n        for state_id, state in states.items():\n            for _input, target_state_id in state_setup[state_id][1].items():\n                state.transitions[_input] = states[target_state_id]\n\n        # states to list\n        states = [state for state in states.values()]\n\n        # build moore machine with first state as starting state\n        mm = MooreMachine(states[0], states)\n\n        for state in states:\n            state.prefix = mm.get_shortest_path(mm.initial_state, state)\n\n        return mm\n\n    def generate_real_automata(self) -> MooreMachine:\n        state_setup = {\n            \"a\": (\"a\", {\"x\": \"b1\", \"y\": \"a\"}),\n            \"b1\": (\"b\", {\"x\": \"b2\", \"y\": \"a\"}),\n            \"b2\": (\"b\", {\"x\": \"b3\", \"y\": \"a\"}),\n            \"b3\": (\"b\", {\"x\": \"b4\", \"y\": \"a\"}),\n            \"b4\": (\"b\", {\"x\": \"c\", \"y\": \"a\"}),\n            \"c\": (\"c\", {\"x\": \"a\", \"y\": \"a\"}),\n        }\n\n        mm = self.gen_moore_from_state_setup(state_setup)\n        mm.characterization_set = mm.compute_characterization_set() + [tuple()]\n        return mm\n\n    def generate_hypothesis(self) -> MooreMachine:\n        state_setup = {\n            \"a\": (\"a\", {\"x\": \"b\", \"y\": \"a\"}),\n            \"b\": (\"b\", {\"x\": \"b\", \"y\": \"a\"}),\n        }\n\n        mm = self.gen_moore_from_state_setup(state_setup)\n        # ! computer_characterization_set does not work for Moore machines in general!\n        # mm.characterization_set = mm.compute_characterization_set() + [tuple()]\n        mm.characterization_set = [tuple(), (\"x\",), (\"y\",)]\n        return mm\n\n    def test_wmethod_oracle(self):\n        real = self.generate_real_automata()\n        hyp = self.generate_hypothesis()\n        # visualize_automaton(real)\n        # visualize_automaton(hyp)\n        assert set(real.get_input_alphabet()) == {\"x\", \"y\"}\n        assert set(hyp.get_input_alphabet()) == {\"x\", \"y\"}\n        assert len(real.states) == 6\n        assert len(hyp.states) == 2\n        alphabet = real.get_input_alphabet()\n        oracle = WMethodEqOracle(alphabet, AutomatonSUL(real), len(real.states) + 1)\n        cex = oracle.find_cex(hyp)\n        assert cex is not None, \"Expected a counterexample, but got None\"\n\n    def test_wmethod_oracle_with_lstar(self):\n        real = self.generate_real_automata()\n        hyp = self.generate_hypothesis()\n        # visualize_automaton(real)\n        # visualize_automaton(hyp)\n        assert real.get_input_alphabet() == [\"x\", \"y\"]\n        assert hyp.get_input_alphabet() == [\"x\", \"y\"]\n        assert len(real.states) == 6\n        assert len(hyp.states) == 2\n        alphabet = real.get_input_alphabet()\n        oracle = WMethodEqOracle(alphabet, AutomatonSUL(real), len(real.states) + 1)\n        lstar_hyp = run_Lstar(alphabet, AutomatonSUL(real), oracle, \"moore\")\n        # print(lstar_hyp)\n        # visualize_automaton(lstar_hyp)\n        assert (\n            len(lstar_hyp.states) == 6\n        ), f\"Expected {6} states got {len(lstar_hyp.states)} in lstar hypothesis\"\n\n\nif __name__ == \"__main__\":\n    unittest.main()\n"
  },
  {
    "path": "tests/test_wpmethod_oracle.py",
    "content": "import unittest\n\ntry:\n    from aalpy.automata import MooreMachine, MooreState\n    from aalpy.learning_algs import run_Lstar\n    from aalpy.oracles.WpMethodEqOracle import WpMethodEqOracle\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.utils import visualize_automaton\nexcept ImportError:\n    import sys\n    from pathlib import Path\n\n    # if you want to run the test directly from CLI\n    # either from root or from tests folder\n    p = Path(__file__).parent.resolve()\n    sys.path.append(str(p))\n    sys.path.append(str(p.parent))\n    from aalpy.automata import MooreMachine, MooreState\n    from aalpy.learning_algs import run_Lstar\n    from aalpy.oracles.WpMethodEqOracle import WpMethodEqOracle\n    from aalpy.SULs import AutomatonSUL\n    from aalpy.utils import visualize_automaton\n\n\nclass TestWpMethodOracle(unittest.TestCase):\n    @staticmethod\n    def gen_moore_from_state_setup(state_setup) -> MooreMachine:\n        # state_setup shoud map from state_id to tuple(output and transitions_dict)\n\n        # build states with state_id and output\n        states = {key: MooreState(key, val[0]) for key, val in state_setup.items()}\n\n        # add transitions to states\n        for state_id, state in states.items():\n            for _input, target_state_id in state_setup[state_id][1].items():\n                state.transitions[_input] = states[target_state_id]\n\n        # states to list\n        states = [state for state in states.values()]\n\n        # build moore machine with first state as starting state\n        mm = MooreMachine(states[0], states)\n\n        for state in states:\n            state.prefix = mm.get_shortest_path(mm.initial_state, state)\n\n        return mm\n\n    def generate_real_automata(self) -> MooreMachine:\n        state_setup = {\n            \"a\": (\"a\", {\"x\": \"b1\", \"y\": \"a\"}),\n            \"b1\": (\"b\", {\"x\": \"b2\", \"y\": \"a\"}),\n            \"b2\": (\"b\", {\"x\": \"b3\", \"y\": \"a\"}),\n            \"b3\": (\"b\", {\"x\": \"b4\", \"y\": \"a\"}),\n            \"b4\": (\"b\", {\"x\": \"c\", \"y\": \"a\"}),\n            \"c\": (\"c\", {\"x\": \"a\", \"y\": \"a\"}),\n        }\n\n        mm = self.gen_moore_from_state_setup(state_setup)\n        mm.characterization_set = mm.compute_characterization_set() + [tuple()]\n        return mm\n\n    def generate_hypothesis(self) -> MooreMachine:\n        state_setup = {\n            \"a\": (\"a\", {\"x\": \"b\", \"y\": \"a\"}),\n            \"b\": (\"b\", {\"x\": \"b\", \"y\": \"a\"}),\n        }\n\n        mm = self.gen_moore_from_state_setup(state_setup)\n        # ! computer_characterization_set does not work for Moore machines in general!\n        # mm.characterization_set = mm.compute_characterization_set() + [tuple()]\n        mm.characterization_set = [tuple(), (\"x\",), (\"y\",)]\n        return mm\n\n    def test_wpmethod_oracle(self):\n        real = self.generate_real_automata()\n        hyp = self.generate_hypothesis()\n        # visualize_automaton(real)\n        # visualize_automaton(hyp)\n        assert set(real.get_input_alphabet()) == {\"x\", \"y\"}\n        assert set(hyp.get_input_alphabet()) == {\"x\", \"y\"}\n        assert len(real.states) == 6\n        assert len(hyp.states) == 2\n        alphabet = real.get_input_alphabet()\n        oracle = WpMethodEqOracle(\n            alphabet, AutomatonSUL(real), len(real.states) + 1\n        )\n        cex = oracle.find_cex(hyp)\n        assert cex is not None, \"Expected a counterexample, but got None\"\n\n    def test_wpmethod_oracle_with_lstar(self):\n        real = self.generate_real_automata()\n        hyp = self.generate_hypothesis()\n        # visualize_automaton(real)\n        # visualize_automaton(hyp)\n        assert real.get_input_alphabet() == [\"x\", \"y\"]\n        assert hyp.get_input_alphabet() == [\"x\", \"y\"]\n        assert len(real.states) == 6\n        assert len(hyp.states) == 2\n        alphabet = real.get_input_alphabet()\n        oracle = WpMethodEqOracle(\n            alphabet, AutomatonSUL(real), len(real.states) + 1\n        )\n        lstar_hyp = run_Lstar(alphabet, AutomatonSUL(real), oracle, \"moore\")\n        # print(lstar_hyp)\n        # visualize_automaton(lstar_hyp)\n        assert (\n            len(lstar_hyp.states) == 6\n        ), f\"Expected {6} states got {len(lstar_hyp.states)} in lstar hypothesis\"\n\n\nif __name__ == \"__main__\":\n    unittest.main()\n"
  },
  {
    "path": "tests/tests_imports.py",
    "content": "import unittest\n\n\nclass ImportTest(unittest.TestCase):\n\n    def test_imports(self):\n        try:\n            import aalpy.utils\n            import aalpy.oracles\n            import aalpy.utils\n            import aalpy.SULs\n            import aalpy.learning_algs\n            import aalpy.base\n            import aalpy.base.Automaton\n            import aalpy.utils.HelperFunctions\n            import aalpy.utils.DataHandler\n            import aalpy.utils.AutomatonGenerators\n            import aalpy.utils.ModelChecking\n            import aalpy.utils.FileHandler\n        except:\n            assert False\n        assert True\n"
  }
]