[
  {
    "path": "README.md",
    "content": "# Reinforcement_Learning_AI_Video_Games\nCode for each week's short video of Siraj Raval Course on Reinforcement Learning \"AI for Video Games\"\n\n## Week 1 - Value iteration algorithm\nValue iteration algorithm built for the <a href=\"https://gym.openai.com/envs/Taxi-v1/\">Taxi-v1</a> environment by OpenAI Gym library.\n\n## Week 2 - Monte Carlo Prediction algorithm\nMonte Carlo Prediction algorithm built for the <a href=\"https://gym.openai.com/envs/Blackjack-v0/\">Blackjack-v0</a> environment by OpenAI Gym library.\n\n## Week 3 - Q-Learning algorithm\nQ-Learning algorithm built for the <a href=\"https://gym.openai.com/envs/MountainCarContinuous-v0/\">MountainCarContinuous-v0</a> environment by OpenAI Gym library.\n\n## Week 4 - Policy Gradients algorithm\nPolicy Gradients algorithm built for the <a href=\"https://gym.openai.com/envs/Pong-v0/\">Pong-v0</a> environment by OpenAI Gym library.\n\n## Week 5 - Actor-Critic model\nActor-Critic model built for the <a href=\"https://gym.openai.com/envs/Pendulum-v0/\">Pendulum-v0</a> environment by OpenAI Gym library.\n\n## Week 6 - Proximal Policy Optimization\nProximal Policy Optimization algorithm built for the <a href=\"https://gym.openai.com/envs/Pendulum-v0/\">Pendulum-v0</a> environment by OpenAI Gym library.\n"
  },
  {
    "path": "Week 1/README.md",
    "content": "## Coding Challenge\n\nThis week's coding challenge is to implement Value iteration algorithm built for the <a href=\"https://gym.openai.com/envs/Taxi-v1/\">Taxi-v1</a> environment by OpenAI Gym library. By <a href=\"https://github.com/llSourcell/AI_for_Video_Games_Syllabus\">Siraj Raval.</a>\n\nThe submission file is: <a href=\"\">RL_Value_Iteration_Taxi.ipynb</a>\n\n## Dependencies for challenge\n\n* numpy\n* [OpenAI Gym](https://gym.openai.com/docs/)\n\n## Environment\n\nThat's the least relevant thing but, as mentioned before, <a href=\"https://gym.openai.com/envs/Taxi-v1/\">\"Taxi\"</a> environment has been chosen.\n\nIt's a simple game. At least for humans :) \n\nYou have a Taxi. In a little \"city\". You also have the direction of a passenger and a destination. Of course, you have to go to the position of your passenger, pick them and go to the destination **in the shortest path**\n\n<img src=\"src/TheTaxiGame.png\">\n\nHope that with the image it's all clear :D\n\n### References\n\n[Siraj Raval - Youtube - Introduction to AI for Video Games](https://www.youtube.com/watch?v=i_McNBDP9Qs)\n\n[Taxi - OpenAI Gym](https://gym.openai.com/envs/Taxi-v1/)\n\n[An overview of MAXQ hierarchical reinforcement learning](https://link.springer.com/book/10.1007/3-540-44914-0#page=38)\n\n[Deep Reinforcement Learning Demysitifed (Episode 2) — Policy Iteration, Value Iteration and Q-learning](https://medium.com/@m.alzantot/deep-reinforcement-learning-demysitifed-episode-2-policy-iteration-value-iteration-and-q-978f9e89ddaa)"
  },
  {
    "path": "Week 1/RL_Value_Iteration_Taxi.ipynb",
    "content": "{\n \"cells\": [\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"# 1. Value Iteration algorithm applied to Taxi in OpenAI GYM\\n\",\n    \"\\n\",\n    \"This weeks coding challenge is to use the OpenAI Gym library to build a simple value iteration algorithm for any of the available environments. In this Notebook we're going to implement the algorithm to solve the **Taxi** game from Gym. More information <a href=\\\"https://gym.openai.com/envs/Taxi-v1/\\\">here</a>.\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## 1.1 How to play the game?\\n\",\n    \"\\n\",\n    \"It's a simple game. At least for humans :) \\n\",\n    \"\\n\",\n    \"Let's see it. You have a Taxi. In a little \\\"city\\\". You also have the direction of a passenger and a destination. Of course, you have to go to the position of your passenger, pick them and go to the destination **in the shortest path**\\n\",\n    \"\\n\",\n    \"<img src=\\\"src/TheTaxiGame.png\\\">\\n\",\n    \"\\n\",\n    \"Hope that with the image it's all clear :D\\n\",\n    \"\\n\",\n    \"### 1.1.1 Theory of the game\\n\",\n    \"\\n\",\n    \"This task was introduced in [Dietterich2000] to illustrate some **issues in hierarchical reinforcement learning**. There are **4 locations** (labeled by different letters) and your job is to pick up the **passenger at one location** and **drop** him off **in another**. You receive **+20 points for a successful dropoff**, and **lose 1 point for every timestep** it takes. There is also a **10 point penalty for illegal pick-up and drop-off actions**.\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## 2. The RL problem in theory [3]\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"So we have:\\n\",\n    \"\\n\",\n    \"- An agent: The Taxi\\n\",\n    \"- An environment: The \\\"city\\\"\\n\",\n    \"- A reward: The points\\n\",\n    \"- A set of states: The positions of the taxi and the passenger and destination\\n\",\n    \"- A set of actions: At every time step, the directions the taxi can go\\n\",\n    \"\\n\",\n    \"We are going to apply the **value iteration** algorithm so, first of all it's important to know what is a **value function**\\n\",\n    \"\\n\",\n    \"#### Value function:\\n\",\n    \"\\n\",\n    \"Often denoted V(s), represent **how good** is a state for an agent to be in. The value function depends on the policy by which the agent picks actions to perform. So, if the agent uses a given policy 𝛑 to select actions, the corresponding value function is given by: \\n\",\n    \"\\n\",\n    \"<img src=\\\"src/value_function_1.png\\\" width=\\\"500px\\\">\\n\",\n    \"\\n\",\n    \"Among all possible value-functions, there exist an optimal value function that has higher value than other functions for all states.\\n\",\n    \"\\n\",\n    \"<img src=\\\"src/optimal_value_function.png\\\" width=\\\"500px\\\">\\n\",\n    \"\\n\",\n    \"The optimal policy 𝛑* is the policy that corresponds to optimal value function.\\n\",\n    \"\\n\",\n    \"<img src=\\\"src/optimal_policy.png\\\" width=\\\"500px\\\">\\n\",\n    \"\\n\",\n    \"#### Q function:\\n\",\n    \"\\n\",\n    \"Now we introduce another function which is the **state-action pair Q function**.\\n\",\n    \"\\n\",\n    \"<img src=\\\"src/q_func_simple.png\\\" width=\\\"200px\\\">\\n\",\n    \"\\n\",\n    \"Q(s, a) is an indication for how good it is for an agent to pick action a while being in state s.\\n\",\n    \"\\n\",\n    \"To find the optimal --> Q\\\\*(s,a)\\n\",\n    \"\\n\",\n    \"The Q\\\\*(s, a) is equal to the summation of immediate reward after performing action a while in state s and the discounted expected future reward after transition to a next state s'.\\n\",\n    \"\\n\",\n    \"<img src=\\\"src/q_optimal.png\\\" width=\\\"500px\\\">\\n\",\n    \"\\n\",\n    \"This is the **Bellman equation**\\n\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## 3. Value Iteration algorithm\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"Value iteration **computes the optimal state value function** by **iteratively improving the estimate of V(s)**.\\n\",\n    \"\\n\",\n    \"The algorithm **initialize V(s)** to arbitrary **random** values. It repeatedly **updates the Q(s, a) and V(s) values until they convergs**. Value iteration is **guranteed to converge to the optimal values**.\\n\",\n    \"\\n\",\n    \"<img src=\\\"src/value_iteration_pseudo.png\\\" width=\\\"500px\\\">\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## 4. Explore the game technically\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 107,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"import gym\\n\",\n    \"from gym import wrappers\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 115,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stderr\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"[2017-11-19 17:45:16,461] Making new env: Taxi-v2\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"#Get the game environment\\n\",\n    \"env_name = 'Taxi-v2'\\n\",\n    \"env_wrapped = gym.make(env_name)\\n\",\n    \"env = env_wrapped.unwrapped\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"Let's explore the possible **states** and **actions**\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 133,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stdout\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"Action space A -> len(A): 6\\n\",\n      \"States space S -> len(S): 500\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"print('Action space A -> len(A): %d' % env.action_space.n)\\n\",\n    \"print('States space S -> len(S): %d' % env.observation_space.n)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"So we have a set of **6 possible actions**<br>\\n\",\n    \"and a set of **500 possible states**\\n\",\n    \"\\n\",\n    \"Not bad for start :)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## 5. Reinforcement Learning for Taxi implementation\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## 5.1 Value iteration\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"- The value function will represent a VALUE for each STATE, initialize it to zeros.\\n\",\n    \"\\n\",\n    \"- We define a number of max iterations _(max_iterations)_ to converge and a minimum increasing value _(eps)_ to consider not improving.\\n\",\n    \"\\n\",\n    \"**In the training loop:**\\n\",\n    \"\\n\",\n    \"1. Store the last value function\\n\",\n    \"2. For each STATE _s_ and For each ACTION _a_ \\n\",\n    \"\\n\",\n    \"    2.1 Iterate the NEXT STATES you can go from that determined state-action pair (_s_,_a_)<br>\\n\",\n    \"    2.2 Store the reward from those NEXT STATES according to the formula: **probability * (reward + PreviousValueFunction[NEXT\\\\_STATE])**<br>\\n\",\n    \"\\n\",\n    \"3. **Sum** all those rewards from NEXT STATES<br>\\n\",\n    \"4. **Choose the max** reward of _q(s,a)_ pairs and put it on the actual value function for STATE s\\n\",\n    \"\\n\",\n    \"5. If the actual value functions hasn't improved more than the improving threshold, convergence is reached.\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 227,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def value_iteration(env, gamma = 1.0):\\n\",\n    \"\\n\",\n    \"    '''\\n\",\n    \"    Value-iteration algorithm\\n\",\n    \"    '''\\n\",\n    \"    #The value function will represent a VALUE for each STATE, initialize it to zeros.\\n\",\n    \"    v = np.zeros(env.observation_space.n)\\n\",\n    \"    max_iterations = 10000\\n\",\n    \"    display_freq = max_iterations // 10\\n\",\n    \"    eps = 1e-20\\n\",\n    \"    lastDif = float('inf')\\n\",\n    \"    \\n\",\n    \"    #Start training loop\\n\",\n    \"    print('Starting training loop...')\\n\",\n    \"    for i in range(max_iterations):\\n\",\n    \"        if(i % display_freq == 0):\\n\",\n    \"            print('25 first elements of actual value function. An array of number of possible states (%d) elements:\\\\n%s'\\n\",\n    \"                  %(env.observation_space.n,v[0:25]))\\n\",\n    \"            \\n\",\n    \"        prev_v = np.copy(v) #Store the last value function\\n\",\n    \"        for s in range(env.observation_space.n):#For each STATE s\\n\",\n    \"            q_sa = []\\n\",\n    \"            for a in range(env.action_space.n): #For each ACTION a\\n\",\n    \"                next_states_rewards = []\\n\",\n    \"                for next_sr in env.P[s][a]: #Iterate the states you can go from determined state-action pair (s,a)\\n\",\n    \"                    p, s_, r, _ = next_sr #(probability, next_state, reward, done) of the states you can go from (s,a)\\n\",\n    \"                    next_states_rewards.append((p*(r + prev_v[s_]))) #Apply the formula to get the rewards\\n\",\n    \"                q_sa.append(np.sum(next_states_rewards)) #Store the sum of rewards for each pair (s,a)\\n\",\n    \"            v[s] = max(q_sa) #Choose the max reward of (s,a) pairs and put it on the actual value function for STATE s\\n\",\n    \"            \\n\",\n    \"        if(np.abs(np.abs(np.sum(prev_v - v)) - lastDif) < eps): #Check convergence\\n\",\n    \"            print('Value-iteration converged at iteration %d' % (i+1))\\n\",\n    \"            break\\n\",\n    \"        lastDif = np.abs(np.sum(prev_v - v))\\n\",\n    \"    return v    \"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 228,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stdout\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"Starting training loop...\\n\",\n      \"25 first elements of actual value function. An array of number of possible states (500) elements:\\n\",\n      \"[ 0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.\\n\",\n      \"  0.  0.  0.  0.  0.  0.  0.]\\n\",\n      \"Value-iteration converged at iteration 19\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"optimal_value_function = value_iteration(env=env,gamma=1.0)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"How does the optimal value functions looks like?\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 235,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stdout\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"Value function shape: (500,)\\n\",\n      \"First 25 values of the value functions:\\n\",\n      \"[ 359.  233.  275.  212.  107.  233.   65.  128.  191.  107.  275.  128.\\n\",\n      \"   65.  107.   65.  212.  380.  254.  296.  233.  338.  212.  254.  191.\\n\",\n      \"  128.]\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"print('Value function shape: %s\\\\nFirst 25 values of the value functions:\\\\n%s' \\n\",\n    \"      % (optimal_value_function.shape,optimal_value_function[0:25]))\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"So we have a real number for each possible state, seems right.\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### 5.1 Extract policy\\n\",\n    \"\\n\",\n    \"Because we want our agent to **do something** and our agents **behaves according** to the **policy**, the **policy** could be **random actions** or a **value function**...\\n\",\n    \"\\n\",\n    \"Now that we have a (optimal) function value we can **extract** the associated (optimal) policy.\\n\",\n    \"\\n\",\n    \"**How:**\\n\",\n    \"Just get the argument that maximize (argmax) the value function for each possible state\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 230,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def extract_policy(v, gamma = 1.0):\\n\",\n    \"    '''\\n\",\n    \"    Extract the policy given a value-function\\n\",\n    \"    '''\\n\",\n    \"    \\n\",\n    \"    policy = np.zeros(env.observation_space.n) #Policy : array of 0s with as many elements as possible states\\n\",\n    \"    for s in range(env.observation_space.n):\\n\",\n    \"        q_sa = np.zeros(env.action_space.n) # q_sa: array of 0s with as many elements as possible actions\\n\",\n    \"        for a in range(env.action_space.n):\\n\",\n    \"            for next_sr in env.P[s][a]: #Iterate the states you can go from determined state-action pair\\n\",\n    \"                #next_sr is a tuple of (probability, next_state, reward, done)\\n\",\n    \"                p, s_, r, _ = next_sr\\n\",\n    \"                q_sa[a] += (p * (r + gamma * v[s_]))\\n\",\n    \"        policy[s] = np.argmax(q_sa)\\n\",\n    \"    \\n\",\n    \"    return policy\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 231,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"#Extract the policy for the optimal value function that we've just computed with the value iteration algorithm\\n\",\n    \"optimal_policy = extract_policy(v=optimal_value_function, gamma=1.0)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"How does the optimal value functions looks like?\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 237,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stdout\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"Value function shape: (500,)\\n\",\n      \"First 25 values of the value functions:\\n\",\n      \"[ 4.  4.  4.  4.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  0.  5.  0.\\n\",\n      \"  0.  0.  3.  3.  3.  3.  0.]\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"print('Value function shape: %s\\\\nFirst 25 values of the value functions:\\\\n%s' \\n\",\n    \"      % (optimal_value_function.shape,optimal_policy[0:25]))\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"So we have a number in [0,5] for each state. Guess it!\\n\",\n    \"\\n\",\n    \"Yes, it's the (optimal) action to take in each state.\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### 5.2 Evaluate policy\\n\",\n    \"\\n\",\n    \"In fact it's playing the game.\\n\",\n    \"\\n\",\n    \"1. Get in a starting state (reset the environment)\\n\",\n    \"2. Take the (optimal) action according to the state --> Ask the policy!\\n\",\n    \"3. Do it\\n\",\n    \"4. If it's ended. Stop.\\n\",\n    \"\\n\",\n    \"\\\\*find each element of this numbered list in the code by the index ;)\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 293,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def run_episode(env, policy, gamma = 1.0, verbose=True,render = False):\\n\",\n    \"    '''\\n\",\n    \"    Evaluates a policy by using it to run an episode and finding it's total reward\\n\",\n    \"    \\n\",\n    \"    returns: \\n\",\n    \"    total reward: real value of the total reward received by the agent under policy\\n\",\n    \"    '''\\n\",\n    \"    \\n\",\n    \"    state = env.reset() #1. Reset the environment, starting state.\\n\",\n    \"    total_reward = 0\\n\",\n    \"    step_idx = 0\\n\",\n    \"    \\n\",\n    \"    frames = []\\n\",\n    \"    while True:\\n\",\n    \"       \\n\",\n    \"        if render:\\n\",\n    \"            env.render(mode = 'human')\\n\",\n    \"            \\n\",\n    \"        action = int(policy[state]) #2. Ask the policy for the optimal action!\\n\",\n    \"        state, reward, done, info = env.step(action) #3. Do it!\\n\",\n    \"        if verbose:\\n\",\n    \"            print('State: %d - Reward: %d - Done: %d' %(state, reward, done))\\n\",\n    \"            \\n\",\n    \"        total_reward = total_reward + (gamma ** step_idx * reward)\\n\",\n    \"        step_idx += 1\\n\",\n    \"        \\n\",\n    \"        if done: #4. If it's ended stop\\n\",\n    \"            break\\n\",\n    \"\\n\",\n    \"    return total_reward\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 294,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stdout\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"+---------+\\n\",\n      \"|\\u001b[34;1mR\\u001b[0m: | : :\\u001b[35mG\\u001b[0m|\\n\",\n      \"| : : : : |\\n\",\n      \"| : : : : |\\n\",\n      \"|\\u001b[43m \\u001b[0m| : | : |\\n\",\n      \"|Y| : |B: |\\n\",\n      \"+---------+\\n\",\n      \"\\n\",\n      \"State: 201 - Reward: -1 - Done: 0\\n\",\n      \"+---------+\\n\",\n      \"|\\u001b[34;1mR\\u001b[0m: | : :\\u001b[35mG\\u001b[0m|\\n\",\n      \"| : : : : |\\n\",\n      \"|\\u001b[43m \\u001b[0m: : : : |\\n\",\n      \"| | : | : |\\n\",\n      \"|Y| : |B: |\\n\",\n      \"+---------+\\n\",\n      \"  (North)\\n\",\n      \"State: 101 - Reward: -1 - Done: 0\\n\",\n      \"+---------+\\n\",\n      \"|\\u001b[34;1mR\\u001b[0m: | : :\\u001b[35mG\\u001b[0m|\\n\",\n      \"|\\u001b[43m \\u001b[0m: : : : |\\n\",\n      \"| : : : : |\\n\",\n      \"| | : | : |\\n\",\n      \"|Y| : |B: |\\n\",\n      \"+---------+\\n\",\n      \"  (North)\\n\",\n      \"State: 1 - Reward: -1 - Done: 0\\n\",\n      \"+---------+\\n\",\n      \"|\\u001b[34;1m\\u001b[43mR\\u001b[0m\\u001b[0m: | : :\\u001b[35mG\\u001b[0m|\\n\",\n      \"| : : : : |\\n\",\n      \"| : : : : |\\n\",\n      \"| | : | : |\\n\",\n      \"|Y| : |B: |\\n\",\n      \"+---------+\\n\",\n      \"  (North)\\n\",\n      \"State: 17 - Reward: -1 - Done: 0\\n\",\n      \"+---------+\\n\",\n      \"|\\u001b[42mR\\u001b[0m: | : :\\u001b[35mG\\u001b[0m|\\n\",\n      \"| : : : : |\\n\",\n      \"| : : : : |\\n\",\n      \"| | : | : |\\n\",\n      \"|Y| : |B: |\\n\",\n      \"+---------+\\n\",\n      \"  (Pickup)\\n\",\n      \"State: 117 - Reward: -1 - Done: 0\\n\",\n      \"+---------+\\n\",\n      \"|R: | : :\\u001b[35mG\\u001b[0m|\\n\",\n      \"|\\u001b[42m_\\u001b[0m: : : : |\\n\",\n      \"| : : : : |\\n\",\n      \"| | : | : |\\n\",\n      \"|Y| : |B: |\\n\",\n      \"+---------+\\n\",\n      \"  (South)\\n\",\n      \"State: 137 - Reward: -1 - Done: 0\\n\",\n      \"+---------+\\n\",\n      \"|R: | : :\\u001b[35mG\\u001b[0m|\\n\",\n      \"| :\\u001b[42m_\\u001b[0m: : : |\\n\",\n      \"| : : : : |\\n\",\n      \"| | : | : |\\n\",\n      \"|Y| : |B: |\\n\",\n      \"+---------+\\n\",\n      \"  (East)\\n\",\n      \"State: 157 - Reward: -1 - Done: 0\\n\",\n      \"+---------+\\n\",\n      \"|R: | : :\\u001b[35mG\\u001b[0m|\\n\",\n      \"| : :\\u001b[42m_\\u001b[0m: : |\\n\",\n      \"| : : : : |\\n\",\n      \"| | : | : |\\n\",\n      \"|Y| : |B: |\\n\",\n      \"+---------+\\n\",\n      \"  (East)\\n\",\n      \"State: 57 - Reward: -1 - Done: 0\\n\",\n      \"+---------+\\n\",\n      \"|R: |\\u001b[42m_\\u001b[0m: :\\u001b[35mG\\u001b[0m|\\n\",\n      \"| : : : : |\\n\",\n      \"| : : : : |\\n\",\n      \"| | : | : |\\n\",\n      \"|Y| : |B: |\\n\",\n      \"+---------+\\n\",\n      \"  (North)\\n\",\n      \"State: 77 - Reward: -1 - Done: 0\\n\",\n      \"+---------+\\n\",\n      \"|R: | :\\u001b[42m_\\u001b[0m:\\u001b[35mG\\u001b[0m|\\n\",\n      \"| : : : : |\\n\",\n      \"| : : : : |\\n\",\n      \"| | : | : |\\n\",\n      \"|Y| : |B: |\\n\",\n      \"+---------+\\n\",\n      \"  (East)\\n\",\n      \"State: 97 - Reward: -1 - Done: 0\\n\",\n      \"+---------+\\n\",\n      \"|R: | : :\\u001b[35m\\u001b[42mG\\u001b[0m\\u001b[0m|\\n\",\n      \"| : : : : |\\n\",\n      \"| : : : : |\\n\",\n      \"| | : | : |\\n\",\n      \"|Y| : |B: |\\n\",\n      \"+---------+\\n\",\n      \"  (East)\\n\",\n      \"State: 97 - Reward: 20 - Done: 1\\n\"\n     ]\n    },\n    {\n     \"data\": {\n      \"text/plain\": [\n       \"10.0\"\n      ]\n     },\n     \"execution_count\": 294,\n     \"metadata\": {},\n     \"output_type\": \"execute_result\"\n    }\n   ],\n   \"source\": [\n    \"run_episode(env,optimal_policy,verbose=True,render=True)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"Do it a lot of times for evaluating\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 295,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def evaluate_policy(env, policy, gamma = 1.0, n = 100):\\n\",\n    \"    '''\\n\",\n    \"    Evaluates a policy by running it n times\\n\",\n    \"    \\n\",\n    \"    returns:\\n\",\n    \"    average total reward\\n\",\n    \"    '''\\n\",\n    \"    scores = [run_episode(env,policy,gamma,False,False) for _ in range(n)]\\n\",\n    \"    return np.mean(scores)\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 258,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stdout\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"We have got 10.20 average points in 10 games\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"n = 10\\n\",\n    \"points = evaluate_policy(env,optimal_policy,gamma=1.0,n=n)\\n\",\n    \"print('We have got %.2f average points in %d games' %(points,n))\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### 5.2.1 Formal evaluation\\n\",\n    \"\\n\",\n    \"According to the <a href=\\\"https://gym.openai.com/envs/Taxi-v1/\\\">official documentation</a>, **Taxi-v1 defines \\\"solving\\\" as getting average reward of 9.7 over 100 consecutive trials.** \"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 298,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stdout\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"We have got 8.50 average points in 100 games\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"n = 100\\n\",\n    \"points = evaluate_policy(env,optimal_policy,gamma=1.0,n=n)\\n\",\n    \"print('We have got %.2f average points in %d games' %(points,n))\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"After all...\\n\",\n    \"\\n\",\n    \"<img src=\\\"src/playing_with_neural_nets.jpg\\\" width=\\\"250px\\\">\\n\",\n    \"\\n\",\n    \"Seriously, check it in the render mode, the taxi driver is awesome! Always takes the shortest path! Don't know what else to do :O\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Future work\\n\",\n    \"\\n\",\n    \"- Tweak _gamma_ values and see what happens\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## References\\n\",\n    \"\\n\",\n    \"[1] Taxi - OpenAI Gym - https://gym.openai.com/envs/Taxi-v1/ <br>\\n\",\n    \"[2] An overview of MAXQ hierarchical reinforcement learning - https://link.springer.com/book/10.1007/3-540-44914-0#page=38<br>\\n\",\n    \"[3] Deep Reinforcement Learning Demysitifed (Episode 2) — Policy Iteration, Value Iteration and Q-learning - https://medium.com/@m.alzantot/deep-reinforcement-learning-demysitifed-episode-2-policy-iteration-value-iteration-and-q-978f9e89ddaa\"\n   ]\n  }\n ],\n \"metadata\": {\n  \"kernelspec\": {\n   \"display_name\": \"Python 3\",\n   \"language\": \"python\",\n   \"name\": \"python3\"\n  },\n  \"language_info\": {\n   \"codemirror_mode\": {\n    \"name\": \"ipython\",\n    \"version\": 3\n   },\n   \"file_extension\": \".py\",\n   \"mimetype\": \"text/x-python\",\n   \"name\": \"python\",\n   \"nbconvert_exporter\": \"python\",\n   \"pygments_lexer\": \"ipython3\",\n   \"version\": \"3.6.1\"\n  }\n },\n \"nbformat\": 4,\n \"nbformat_minor\": 2\n}\n"
  },
  {
    "path": "Week 2/Monte_Carlo_Prediction.ipynb",
    "content": "{\n \"cells\": [\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"# Monte Carlo Methods\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"Here we do not assume complete knowledge of the environment. Monte Carlo methods require only experience—sample sequences of states, actions, and rewards from actual or simulated interaction with an environment.\\n\",\n    \"\\n\",\n    \"Monte Carlo methods are ways of solving the reinforcement learning problem based on averaging sample returns. To ensure that well-defined returns are available, here we define Monte Carlo methods only for episodic tasks. That is, we assume experience is divided into episodes, and that all episodes eventually terminate no matter what actions are selected. \\n\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Monte Carlo Prediction for Blackjack\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"We begin by considering Monte Carlo methods for learning the state-value function for a given policy. Recall that the value of a state is the expected return—expected cumulative future discounted reward—starting from that state. An obvious way to\\n\",\n    \"estimate it from experience, then, is simply to average the returns observed after visits to that state. As more returns are observed, the average should converge to the expected value. This idea underlies all Monte Carlo methods.\\n\",\n    \"\\n\",\n    \"**First-visit:**<br>\\n\",\n    \"The first-visit MC method estimates _vπ(s)_ as the average of the returns following first visits to _s_\\n\",\n    \"\\n\",\n    \"<img src=\\\"src/first_visit_algorithm.png\\\" width=\\\"700px\\\">\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Implementation\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### Imports\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 1,\n   \"metadata\": {},\n   \"outputs\": [],\n   \"source\": [\n    \"%matplotlib inline\\n\",\n    \"\\n\",\n    \"import gym\\n\",\n    \"import matplotlib\\n\",\n    \"from matplotlib import pyplot as plt\\n\",\n    \"from mpl_toolkits.mplot3d import Axes3D\\n\",\n    \"import numpy as np\\n\",\n    \"import sys\\n\",\n    \"\\n\",\n    \"from collections import defaultdict\\n\",\n    \"\\n\",\n    \"matplotlib.style.use('ggplot')\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### Util functions\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 2,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def plot_value_function(V, title='Value Function'):\\n\",\n    \"    min_x = min(k[0] for k in V.keys())\\n\",\n    \"    max_x = max(k[0] for k in V.keys())\\n\",\n    \"    min_y = min(k[1] for k in V.keys())\\n\",\n    \"    max_y = max(k[1] for k in V.keys())\\n\",\n    \"    \\n\",\n    \"    x_range = np.arange(min_x, max_x + 1)\\n\",\n    \"    y_range = np.arange(min_y, max_y + 1)\\n\",\n    \"    X, Y = np.meshgrid(x_range, y_range)\\n\",\n    \"    \\n\",\n    \"    Z_noace = np.apply_along_axis(lambda _: V[(_[0],_[1],False)], 2, np.dstack([X,Y]))\\n\",\n    \"    Z_ace = np.apply_along_axis(lambda _: V[(_[0],_[1],True)], 2, np.dstack([X,Y]))\\n\",\n    \"    \\n\",\n    \"    def plot_surface(X, Y, Z, title):\\n\",\n    \"        fig = plt.figure(figsize=(20,10))\\n\",\n    \"        ax = fig.add_subplot(111, projection='3d')\\n\",\n    \"        surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=matplotlib.cm.coolwarm, vmin=-1.0, vmax=1.0)\\n\",\n    \"        ax.set_xlabel('Player Sum')\\n\",\n    \"        ax.set_ylabel('Dealer Showing')\\n\",\n    \"        ax.set_zlabel('Value')\\n\",\n    \"        ax.set_title(title)\\n\",\n    \"        ax.view_init(ax.elev, -120)\\n\",\n    \"        fig.colorbar(surf)\\n\",\n    \"        plt.show()\\n\",\n    \"        \\n\",\n    \"    plot_surface(X, Y, Z_noace, '(No Usable Ace) '+title)\\n\",\n    \"    plot_surface(X, Y, Z_ace, '(Usable Ace) '+title)\\n\",\n    \"    \\n\",\n    \"    \\n\",\n    \"def sample_policy(observation):\\n\",\n    \"    score, dealer_score, usable_ace = observation\\n\",\n    \"    return 0 if score >= 20 else 1\\n\",\n    \"\\n\",\n    \"def print_observation(observation):\\n\",\n    \"    score, dealer_score, usable_ace = observation\\n\",\n    \"    print('Player score: %d | Usable Ace: %s | Dealer score: %d' %(score,usable_ace,dealer_score))\\n\",\n    \"    \\n\",\n    \"def test_environment(env,n_episodes=10):\\n\",\n    \"    for i_episodes in range(n_episodes):\\n\",\n    \"        observation = env.reset()\\n\",\n    \"        while True: #Forever\\n\",\n    \"            print_observation(observation)\\n\",\n    \"            action = sample_policy(observation)\\n\",\n    \"            print('Taking action: %s' %([\\\"Stick\\\",\\\"Hit\\\"][action]))\\n\",\n    \"            observation, reward, done, _ = env.step(action)\\n\",\n    \"            if done:\\n\",\n    \"                print(observation)\\n\",\n    \"                print('Game end. Reward: %.1f\\\\n' % reward)\\n\",\n    \"                break\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### Test environment\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 3,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stderr\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"[2017-11-26 18:08:42,913] Making new env: Blackjack-v0\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"env = gym.make('Blackjack-v0')\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 4,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stdout\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"Player score: 21 | Usable Ace: True | Dealer score: 10\\n\",\n      \"Taking action: Stick\\n\",\n      \"(21, 10, True)\\n\",\n      \"Game end. Reward: 1.0\\n\",\n      \"\\n\",\n      \"Player score: 14 | Usable Ace: False | Dealer score: 7\\n\",\n      \"Taking action: Hit\\n\",\n      \"(23, 7, False)\\n\",\n      \"Game end. Reward: -1.0\\n\",\n      \"\\n\",\n      \"Player score: 12 | Usable Ace: False | Dealer score: 4\\n\",\n      \"Taking action: Hit\\n\",\n      \"Player score: 16 | Usable Ace: False | Dealer score: 4\\n\",\n      \"Taking action: Hit\\n\",\n      \"Player score: 19 | Usable Ace: False | Dealer score: 4\\n\",\n      \"Taking action: Hit\\n\",\n      \"(24, 4, False)\\n\",\n      \"Game end. Reward: -1.0\\n\",\n      \"\\n\",\n      \"Player score: 12 | Usable Ace: False | Dealer score: 4\\n\",\n      \"Taking action: Hit\\n\",\n      \"(22, 4, False)\\n\",\n      \"Game end. Reward: -1.0\\n\",\n      \"\\n\",\n      \"Player score: 17 | Usable Ace: False | Dealer score: 10\\n\",\n      \"Taking action: Hit\\n\",\n      \"(23, 10, False)\\n\",\n      \"Game end. Reward: -1.0\\n\",\n      \"\\n\",\n      \"Player score: 13 | Usable Ace: False | Dealer score: 6\\n\",\n      \"Taking action: Hit\\n\",\n      \"Player score: 14 | Usable Ace: False | Dealer score: 6\\n\",\n      \"Taking action: Hit\\n\",\n      \"Player score: 21 | Usable Ace: False | Dealer score: 6\\n\",\n      \"Taking action: Stick\\n\",\n      \"(21, 6, False)\\n\",\n      \"Game end. Reward: 1.0\\n\",\n      \"\\n\",\n      \"Player score: 15 | Usable Ace: False | Dealer score: 2\\n\",\n      \"Taking action: Hit\\n\",\n      \"Player score: 17 | Usable Ace: False | Dealer score: 2\\n\",\n      \"Taking action: Hit\\n\",\n      \"Player score: 21 | Usable Ace: False | Dealer score: 2\\n\",\n      \"Taking action: Stick\\n\",\n      \"(21, 2, False)\\n\",\n      \"Game end. Reward: 0.0\\n\",\n      \"\\n\",\n      \"Player score: 19 | Usable Ace: True | Dealer score: 10\\n\",\n      \"Taking action: Hit\\n\",\n      \"Player score: 13 | Usable Ace: False | Dealer score: 10\\n\",\n      \"Taking action: Hit\\n\",\n      \"(23, 10, False)\\n\",\n      \"Game end. Reward: -1.0\\n\",\n      \"\\n\",\n      \"Player score: 14 | Usable Ace: False | Dealer score: 10\\n\",\n      \"Taking action: Hit\\n\",\n      \"(22, 10, False)\\n\",\n      \"Game end. Reward: -1.0\\n\",\n      \"\\n\",\n      \"Player score: 18 | Usable Ace: False | Dealer score: 10\\n\",\n      \"Taking action: Hit\\n\",\n      \"(26, 10, False)\\n\",\n      \"Game end. Reward: -1.0\\n\",\n      \"\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"test_environment(env)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### Monte Carlo Prediction Algorithm\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 5,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def mc_prediction(policy, env, num_episodes, discount_factor=1.0):\\n\",\n    \"    returns_sum = defaultdict(float)\\n\",\n    \"    returns_count = defaultdict(float)\\n\",\n    \"    display_freq = num_episodes // 10\\n\",\n    \"    \\n\",\n    \"    V = defaultdict(float)\\n\",\n    \"    \\n\",\n    \"    for i_episode in range(1, num_episodes + 1):\\n\",\n    \"        if i_episode % display_freq == 0:\\n\",\n    \"            print('Episode (%d/%d)' %(i_episode,num_episodes))\\n\",\n    \"            sys.stdout.flush()\\n\",\n    \"        \\n\",\n    \"        #Generate an episode\\n\",\n    \"        episode = []\\n\",\n    \"        state = env.reset()\\n\",\n    \"        while True: #Forever\\n\",\n    \"            action = policy(state)\\n\",\n    \"            next_state, reward, done, _ = env.step(action)\\n\",\n    \"            episode.append((state,action,reward))\\n\",\n    \"            if done:\\n\",\n    \"                break\\n\",\n    \"            state = next_state\\n\",\n    \"\\n\",\n    \"        #Find all states we've visited in this episode\\n\",\n    \"        #We convert each state to a tuple so that we can use it as a dict key\\n\",\n    \"        states_in_episode = set([tuple(x[0]) for x in episode])\\n\",\n    \"        for state in states_in_episode:\\n\",\n    \"            #Find the first occurence of the state in the episode\\n\",\n    \"            first_occurence_idx = next(i for i,x in enumerate(episode) if x[0] == state)\\n\",\n    \"            #Sum up all rewards since first occurence\\n\",\n    \"            G = sum([x[2]*(discount_factor**i) for i,x in enumerate(episode[first_occurence_idx:])])\\n\",\n    \"            #Calculate average return for this state over all sampled episodes\\n\",\n    \"            returns_sum[state] += G\\n\",\n    \"            returns_count[state] += 1.0\\n\",\n    \"            V[state] = returns_sum[state] / returns_count[state]\\n\",\n    \"            \\n\",\n    \"        \\n\",\n    \"    return V\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### Train\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"#### With 10.000 episodes\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 6,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stdout\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"Episode (1000/10000)\\n\",\n      \"Episode (2000/10000)\\n\",\n      \"Episode (3000/10000)\\n\",\n      \"Episode (4000/10000)\\n\",\n      \"Episode (5000/10000)\\n\",\n      \"Episode (6000/10000)\\n\",\n      \"Episode (7000/10000)\\n\",\n      \"Episode (8000/10000)\\n\",\n      \"Episode (9000/10000)\\n\",\n      \"Episode (10000/10000)\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"value_function = mc_prediction(sample_policy,env,num_episodes=10000)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"#### Plot\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 7,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"data\": {\n      \"image/png\": 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iKDDBkyJOwV9ID09HTcfvvteOaZZ1pc6RwwYABWr17d5LY1a9YgJSUF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\\nAFA4cQAAAAAKJw4AAABA4cQBAAAAKNwn6cFkvBj6nmMAAAAASUVORK5CYII=\\n\",\n      \"text/plain\": [\n       \"<matplotlib.figure.Figure at 0x204c0e99e48>\"\n      ]\n     },\n     \"metadata\": {},\n     \"output_type\": \"display_data\"\n    },\n    {\n     \"data\": {\n      \"image/png\": 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pUrV2Lnzp1RhQiBzivfzc3NuPPOO8Pp/z0VX5QkCZWVlTh69Gj4Np/P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\\nA2U90gFJwqnYAAAAAElFTkSuQmCC\\n\",\n      \"text/plain\": [\n       \"<matplotlib.figure.Figure at 0x204c1b9e908>\"\n      ]\n     },\n     \"metadata\": {},\n     \"output_type\": \"display_data\"\n    }\n   ],\n   \"source\": [\n    \"plot_value_function(value_function)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"#### With 2M episodes\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 8,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stdout\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"Episode (200000/2000000)\\n\",\n      \"Episode (400000/2000000)\\n\",\n      \"Episode (600000/2000000)\\n\",\n      \"Episode (800000/2000000)\\n\",\n      \"Episode (1000000/2000000)\\n\",\n      \"Episode (1200000/2000000)\\n\",\n      \"Episode (1400000/2000000)\\n\",\n      \"Episode (1600000/2000000)\\n\",\n      \"Episode (1800000/2000000)\\n\",\n      \"Episode (2000000/2000000)\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"value_function = mc_prediction(sample_policy,env,num_episodes=2000000)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"#### Plot\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 9,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"data\": {\n      \"image/png\": 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XOAiChO+vXrF/IKuk9mZib+9Kc/4emnn250pbNnz55Yu3ZtwG3ffPMN\\nrFYrOnXqFHR7eXl5KCoqQmlpaaP7SktLUVJSEnBb586dcc011+A///kPbrvtNrzyyiv+xzqdTsyb\\nNw+/+tWv0L1795BXYtevX+//t9frxcaNG/3D9hs6/fTTsX//fmRnZ6Nr164BP01dvfYFEX766acB\\nP7Nnz/aH8PXs2RNWqxWrV68Ouo0BAwYAAA4dOtRo3126dAl47LZt29CvX79mO9q+YMLFixfj9ddf\\nDwgiBOqufJ88eRJ33XUXhg8fHtYSjJIkIT8/H0ePHvXf5nA4sGvXrkbHcuTIkUbH0nB6SEsUFRUB\\nQEBmxKZNm1q8nQEDBuDEiRPYvHlz0Pt9hQVFUZrcTsP3gCAIWLduHQRBQO/evVvcLiIiIgqNxQEi\\nojgZN24cDhw4gEOHDjX5uJkzZ6K4uLhRKN7vf/97fPjhh3jiiSewe/duvPvuu3j00Ucxe/bsJoeO\\n33jjjXjuueewaNEi7N69G1u3bsW8efOwYcMGXHfddQCA2tpa/PnPf8aaNWtw4MABbN68GatWrfLn\\nD3Tt2hWCIODZZ5/FgQMH8PHHHwcM6a/viSeewMqVK7Fz507MnTsX5eXluPrqq4M+9uKLL0anTp1w\\n1VVXYfXq1Th48CDWr1+Pxx9/HB9//HHQ39mxYwfWrVuHGTNmoHfv3gE/v/71r7Fz50588803yMzM\\nxA033IAFCxbgpZdewu7du7Flyxb/Mn1du3bFjBkzcMcdd2Dp0qXYu3cvtmzZgjfeeANPPvlkwD7X\\nrl2L8ePHh/wb+/iCCd98802sXr06IIgQqLtCbzab8eKLL2L//v344osvMG/evGa3O3LkSLzyyiv4\\nv//7P2zbtg233HJLQEe6e/fuuPTSS/GnP/0Jy5cvx759+7Blyxa8/vrrePrpp5vdfiglJSVo164d\\n/vGPf2DXrl349ttvce+997Z4O6NGjcKgQYMwe/ZsfPrppzhw4AC+++47vPHGGwCAVq1awWazYfXq\\n1Th+/HjIETZz5szBhg0bMH/+fOzatQsrV67EX/7yF0yfPh0dOnSA2WyO2QgFIiJKD4Io6vKTilKz\\n1UREKaBHjx4YNmyYfwm4UCRJwl/+8hc4nc6A28ePH48FCxZgyZIlGD9+PObNm4errroKt956a5Pb\\nu+GGG3DPPffg1VdfxZQpUzBjxgxs3boVy5Yt84f3SZKEyspK3HbbbRgzZgxmzZqFoqIiPPHEEwCA\\nvn374r777sOiRYswduxYPPPMMyE7tXfffTceeeQRnHvuuVi3bh0WLlwYchSA1WrF0qVLMWDAANx6\\n660YOXIkrr/+epSWlqJDhw5Bf2fRokVo27YtzjrrrEb3devWDaeddhoWL14MALjjjjtw55134oUX\\nXsD48eMxa9asgCvfDz/8MK6//nr8+9//xtixYzF9+nQsWbIkYCTG/v37UVpaihkzZjT5d/aZMWMG\\namtr0apVq4AgQqCuE/yvf/0Ln3/+OcaOHYv7778/rOLAPffcg5KSEsycORNXXXUVRowY0Wj+/oIF\\nC/Cb3/wGjz32GMaMGYMZM2Zg2bJlIUeVhEOWZTz99NM4duwYJk6ciL/+9a+NVgYIhyiKWLx4MUaP\\nHo0777wTo0ePxk033eQfNSFJEu6//368/fbbGDRoEKZOnRp0O/369cMLL7yAr776Cueccw5uvvlm\\nTJo0CQ899JD/MYIgQBAEmEwmFgqIiIiiIGgNJzU24fDhw/FsCxGR4Xz77beYM2cO1qxZ0+Scekoe\\nc+fOhaZpePDBBxPdFGognCKApmlQFIWZA0REESouLk50E+Jq/fgRuuznzJVrdNlPLHHkABFRHA0Z\\nMgS33HILDhw4kOimUBhUVUW7du2CLsNIqcFXQDCbzZAkKdHNISIiShkcOUBEREQpIdLpA4qiNBt+\\nSEREdYw+cqD03JG67Gfgp1/qsp9Y4lKGREREZGiSJEGSJE45ICIiagKLA0RERGkiKysLbrcbbrc7\\n0U1JiIyMDKiqCqfTySIBEVGaEkSG14bC4gAREVGaYJp/XWChb3oCwCkHREREPiwOEBERpYl0Lw4E\\nO37flANVVeH1ehPQKiIi0pMgMpM/FP5liIiIKG2EymEWRRFmszmiwEMiIiIj4MgBIiIiop+Jougf\\nScBcAiIi42HmQGgsDhAREVFaEAQh5MiB+phLQERE6YjFASIiojQSTueYAjGXgIiI0gGLA0RERGki\\n3efSR3v8vlwC35QDFlqIiFKPKKX3d2FTGEhIRETUQGZmZqKbQCFE28GPRYfeVySQZRkiU6+JiMgg\\nOHKAiIioAZvNhtra2kQ3g5IYcwmIiFITAwlDY3GAiIgojaTzUPhwAwkjwVwCIiJKdSwOEBEREcUI\\ncwmIiJKbwOlgIbE4QERElCYYSKjf8Yui6B9JoCgKVFXVbd9ERESRYHGAiIiIUkIsOvd6XslnLgER\\nUfJh5kBoLA4QERER6YC5BERElMxYHCAiIkoj6TwHPp6BhC3hyyXQNA1erzcp2kRElC44ciA0pjEQ\\nEVFEuL47xYrmsCe6CQkhCALMZjNkWeb7iYiIEo4jB4iIKCL5+fmoqKjgVc8UkoyBhFrlSbgevguw\\n2CAUtoJQ0ApCYWsIha0hFrSquy0nL9HNjBvmEhAR6YsjB0JjcYCIiCLCogDFgrK1FNA0wGmHdmg/\\ntEP7Gz1GsFhhatUGQut2UIraQM0tqCseFLWGkFsQdtEjGYsjDTGXgIiIEoXFASIiiliyzOGm1CSK\\nIrQfNzb7OM3lhOen/fD81LhwAJMMsbAVxKI2EAtb1/0UtakrHOQXpex61r5cAt9SiHyfERHFRqp+\\nL+iBxQEiIiKKK0mSYDKZAn5EUYS3uhJHdm+PbuNeD9Rjh6EeOxxsxxDzi6B26gXzaQOB0eOi21cC\\niKLoH0mgKApUVU10k4iIyKBYHCAioojwSmZqitfz5ps3X/9HkiQAdfPovV4vvF4v7Ha7P6FfWf81\\noMZxfr2iQNEE1HzyEfDh+6h9+y1kTL0I1sFDUmKKgU/DXAIAcLvdCWwREVHqEqXU+fzXG4sDREQU\\nsVTqYFFsni9RFCHLcqNRAL458l6vF263G3a7vdlgPWXLhqjb0xTNbIPjSDnwczucu3bA+a+HYWrf\\nEdnnT4Nt+AgIohTXNsRDbm4uKisrmUtARJTiSktLsXDhQqiqivHjx+Oiiy4KuP+ll17Cli1bANQV\\nhSsrK/HSSy8BAKZPn45OnToBAIqKinDnnXdG3R4WB4iIiKiRhqMAfFetfR1Sj8cTMAqgpTS3C+rO\\nrbFudgAlsxDKgcb78B46iJPP/AtVy99A9nkXI2PUWAgmOa5tiQdfLoGmaRE/D0RElBiqquKFF17A\\nX//6VxQWFmLu3LkYPHgwOnTo4H/MNddc4//3Rx99hL179/r/bzab8cgjj8S0TSwOEBFRRNgRSX2i\\nKAadCuDrbPp+nE5nzK9Qqzs2A15PTLdZn9K2CxylPzT9mLJjOPXiM6h6+y1kT70QGWPPhWixxK1N\\n8SIIQkB4IXMJiIhCS5alDHft2oW2bduiTZs2AIDhw4dj3bp1AcWB+r766itcfvnlcW0TiwNERHHi\\n62w5nc5ENyVuOK0gNfgCASVJQk5ODiRJgiiKAVkAvgKAXh3LeE4p0HKLYN+yLezHqycrULloIarf\\nXYasiech85zJEDMy49a+eGiYS6AoSrPTOoiIKL7uuusu/78nTJiACRMm+P9fUVGBwsJC//8LCwux\\nc+fOoNs5fvw4ysrK0K9fP/9tHo8Hd911FyRJwoUXXoizzjor6vayOEBEFCeSJEGWZUMXByh5hBMI\\nqGkaamtrEz4EXVO8ULdvis+2JRnOU3bA0/JRCWpVFaqWvIbqD/6LzAmTkTX5fEjZOXFoZfxJkhSw\\nygFH+hAR1dFzKcMHH3ww5H3BPpdDXXT56quvMHToUIj12v7UU0+hoKAAx44dw/z589GpUye0bds2\\nqvayOEBEFCe+K3lGxc5GYoRaFjCcQECz2ZzwwgAAqLu3A05HXLbtzW0L79YtUW1Ds9tR8+4y1H7y\\nPjLGnoPsKRdCKihs/heTkCiKEEWRuQREREmmsLAQ5eXl/v+Xl5cjPz8/6GO//vprXHfddQG3FRQU\\nAADatGmDvn37Yt++fSwOEBElq3Q4CTdy8SPRQgUC+oaLRxsImEjqlvXx2W6bznBujN2IBM3lQu3H\\n76N2xcfIGDkW2edfDFPr6E68oiUIQkTPN3MJiIjqJEvmQElJCY4cOYKysjIUFBTg66+/xh//+MdG\\njzt8+DBqa2vRs2dP/201NTWwWCyQZRlVVVXYvn07LrzwwqjbxOIAEVEcsfNMTUlkIGCiaKoKZdvG\\n2G83Mxf2Hbtjvl0AgNcL++efwb56JWzDRiL7gmmQ23eMz76aEWlxAGAuARFRMpEkCddeey3uv/9+\\nqKqKsWPHomPHjnjzzTdRUlKCwYMHAwDWrFmD4cOHB5xTHjp0CM8995x/5OBFF10UMsiwJQStBd8w\\nhw8fjnqHRETpwmQyISsrC6dOnUp0U+IiJycHDocDngjmdie7oqIinDhxImbb800FkGXZXwQQBCEg\\nEND3E88ruoWFhaioqEjoSAN13064n4vt0kuaIMJlyoHn4IGYbjckQYB18BBkX3AJzF1L9Nnnz0RR\\nRGZmJqqrq2O2TeYSEFF9xcXFiW5CXO2/4SJd9tP5uf/qsp9Y4sgBIiKKGEdG/CKcQEDfKIBEdsQS\\n3QFUtpbGfputOsHzQ9PLFsaUpsG57hs4130Dy4AzkH3hpbD06qPLrqMZORAKcwmIiAhgcYCIKG6M\\nHkiYrqIJBEy0ZHg9qjFewlAtag/HpvisfBAO1w8b4Nq6GbbBZyFj9HhY+w9MWFuixVwCIkoHeq5W\\nkGpYHCAiihOjX30z8vFpmhY0EFAQhIApAKkaCJgo6uGD0E7GbrqGZs2E48BhIJF/f0GA3LkLHN98\\nBcc3X0Eu6YHsCy+F7cxfxWl3sR85UB9zCYiI0heLA0SUMJmZmVAUBU6nM9FNiZtkuFIbT6l+fKEC\\nASVJQlZWliEDARNJ2Rq7UQMaALeUCbXqSMy2GQlLr75w/fjL0ome3TtR8ejfIXfuiuwLLoH1V0Nj\\nepVK7/ec7/3AXAIiMopkWa0gGbE4QEQJleqdy6ZwWkHykCQpIAwwWCCgrwCgqioKCwtRWVnJjlCM\\nqTEsDqhtusC9UcecgSAsfU6Da9uWoPd59u9FxeP/gKm4A7IvmAbb8JEQRCkm+03E65K5BERExsfi\\nABElDDvPqS3ZOgfhBAJ6PJ6EBwKmK7W8DNrRQ7HZVn4b2DcH75TrxdyzT8jCQH3ewz/h5DP/RtXy\\nt5B9/sXIGDkGgkmOeL/xnlYQzv5lWYamacwlIKKUxMyB0FgcIKKE0TQNooE/oNOh+JGI40vlQMB0\\nFqsgQk02w3n8FJDA51bu1h3uXdtb9DtK2VGceuFpVP93CbKmXojMMedAMJvj1ML4Yy4BEZHxsDhA\\nRAmTDp1niowgCEGLAEDgsoAMBEwdSoyKA57MVlAObovJtiJh6tAJ3p8OABFeMVfKT6DylRdQ/c4y\\nZE2+AJkTJkK02sL+/USPHAiGuQRElFJ47hkSiwNElDAsDqS2WHQAQgUC+uY1MxDQGLSqU9B+2hv1\\ndpQ2neHamLhlC6VWraGcrIDmdke9LbXyFKreeAU177+NzIlTkTVxKsSMzBi0MnGYS0BElNpYHCCi\\nhGFxIPWF+/yFWhYwVCAgGYuytTTq5QbV7AI4ftwRoxa1nJCbB83rhVZbE9PtqjXVqF72Bmo+ehdZ\\n50xB5qTzIWVnh25HEo4caIi5BEREqYnFASIiiommAgEbjgLg0OP0Eu0qBZokwVntguZyxahFLWSz\\nQbLZ4D0av2UTNbsd1e8sRc3H7yNz/LnImnIhpLz8Ro8TBCFlOtvMJSCiZMSlDENjcYAoSYmi6L+y\\nalQcOZCafFkAZrMZoigiIyODgYAUkuaohbqnZeF9DXlyi6FsTdDqBCYT5FZt4DmwT5fdaS4naj58\\nFzWffYzMMeORdd7FMBUW6bLveGIuARFR8mNxgChJybIMs9mM6urqRDclblgcSF71AwFlWQ66LKCv\\nGFBTU8MTfQpJ/fGHiMP7AEBp1QGuTYlatlCAuUs3uHclYDqDx43azz5C7f8+Q8aI0ci+4BKY2rRN\\niWkFTWEuARElGpcyDI3FAaIklQ4d53Q4xmQXTiCgx+MJOgogIyMDQGyCCcm4olmlQM3IhmPPgRi2\\npmXMvfvA/ePWhO0fAKB4YV/pFJgcAAAgAElEQVS9EvYvP0fOBRfDfN40IDsnsW2KAV8ugcViQW1t\\nbcpMlSAiMjIWB4iSVDp0nNPhGJNFPAIB+fxRczS3C+rOyK76a4IAl9cU8wDAcJl79018YaAeS/ce\\ncK74AIe/XImsqRfDMm4yBFPqn8bZbDa4fs6SYC4BEemBmQOhpf63CpFBqapq+I4XO5exFSwQ0GQy\\nxXVZQD5/1BR1xxbA44nod71FneDdlJhlC+UevZOrMNCpM3D8CKBp0JwOVC97DfYv/4fM6VfD0m9g\\nopsXM8wlICJKLBYHiJKUpmkQDT4nisWByPiyAOr/MBCQkpES4SoFSkFbOLckJmdA7loCz56dCdl3\\nMGJeHuBxQnMHrtSglB1F1eMPwTzgTGRdfhWkVm0S1MLYYy4BEcUTMwdCY3GAKEmx42wMvuexpSe3\\nvkBAXxhgsEBAr9cLu92esJNnvkapKZrihfpjBFf+rRlwHz0RVYhhpKTiDvAe/glIkqKaYLHAUpgP\\n5ejhkI9x/7AeFVs3IeOcqciYchEEs0XHFsaXL5dA0zQoisJcAiKiOGNxgChJseOVHsIJBOQoAP1F\\nWtShX6h7tgNOe4t/z2XKgbdC/9UBxMJW0KoqoblczT9YD4IAa/cSKPt2N/9Yrwf2j/4L5zdfIuuy\\nX8MyaGj82xcj4bzHfFOmAOYSEFH0mDkQGosDRERx5OtkBpsKEG0gIFEy8nXk1O0tHzWg9BkEZe8B\\nQBAAHQszQnYOBGhQapJn6Vhb//5Qdm9v0e+oJ8tR9dy/IPdagawZV8NU3DFOrUsc5hIQEcUPiwOU\\nkqxWK5xOZ6KbQRSgfiCgbzqA2WxGQUFB3AIBE4mjW9Jb/VEvvte7L/vC4/GgZvP6lm2wsA3sF9wA\\nRbJCsNfAtGcTxB0/QN2+CeqRQ/E5CACwWCFlZ8N7OI77aCFr39NaXBioz7N9C07eNxe2Meci4/xL\\nIdoyYti62IlmdA5zCYgoUhw5EBqLA5SSMjMzWRyghAknENDlcqGmpga5ubmoqqriMFhKWb7Xe/38\\ni4ajXhwOR8CoF3X/bmhVp8LfiSDg5JQbYTJZAA3QMrLg6TcM6DcMACBWlcO08weIuzZD+fEHqOUn\\nYnNwogS5XTE8+/bEZnsxYO7SFeqhfdFvSFHgWPkRXOvWIvOi6bAMH510xbxYTN1hLgERUeywOEAp\\nyZfkz5MAipdgywJGEgjIq+uUCsINwHQ6nWEN5W7pKgWeYZNR07Yv8hA8o0DNKYR70Fhg0FgAgFR+\\nGPKuH4Dtm+DdvhladVWL9udjLukO987Ir9DHmlTUCkJtJbQYjixSq06h+pVn4VxTt/Sh3KUkZtuO\\nVixzPZhLQERh42oFIbE4QClJVVV2uCgmQgUCclnA5rHwkZrMZnPcAzDVLS0oDrQuxrEhswAA4XYT\\nlcJiKIXFwJBJgKbCdGQfTL5iwY6t0FzNjywz9+4L949bw29nnAkZGZAzrVBPlMVl+549O3HqwbuR\\nOWocbBdcDiErOy77SQbMJSAiigyLA5SSfCMHjN5ZS4fEdL2OsWEBQK9AQHagKRFCTX2RJAk2mw0e\\njyduAZjqkZ+gVRwP78GiiIopv4NmMgNQoUbyMSCI8BZ3g7e4GzDqIkDxwHxwJ8SdP0DbsQne3TuA\\nBlfiLX36wbVtcwQ7ixNJgrVTRygH98V3P5qK2tUr4Pj+G+ROmwl5xLiwCzLxEO/PfuYSEFEwPC8L\\njcUBSknp0uFicaBlfHNPm7oqqncgYLq8VikxghW9gNBTX4qKilBZWRnXNqktmFLgHnEBalv1AADI\\nogYgBu8VSYa7S1+gS1/gnBkQ3E7I+7dC3r0F3q0bIZpluH7cEv1+YijjtNPgjSKAsKXU2hqcfPU/\\nMK9egYKrbgC6lCSk2K7X9xtzCYiIwsPiAKUkVVUhpsF8oXToWEZyjM0FAsbzqij9Ih1en8kgWP6F\\nyWRKaNGrKUq4UwradcaxX13u/69JjE/nVDNb4e5xJtw9zgQmXQnL8QOQ334Jns0ty0WIF2u//roW\\nBupzH9iLo/fNReawUSj69XXw2DLh8Xh027/exW/mEhARAAhp0IeIFIsDlJLSpVOSDtkKoU4MYxUI\\nmGjp8lql6DXMv5BludEqGMmef6FWHId29KfmH2gy4cTk3wHiL6chkqBPIc/dqiO0G+6Gecf/AW+/\\nDOXQQV32G4y5ew+o+3clbP8+tWu/gH39t8i9cDoKL7gELq8Cl8sV9/0mcmQccwmIiBpjcSBNtG3b\\nFkePHk10M2ImnUYOpMNxms1mfzEgFTtERC1Rf+SLbxpMsPyLmpqalBv5Em4QoWvUNDgKuwTcJgla\\nZJkDLSAA0H6euuDuOQi4/XRYv/sMyntvQI1wxYNImdoVQ6gog5Ykz7HmcuHUW6+g5rs1KLh4OnKH\\njITb7YbT6TR0x5m5BEREv2BxII0Yae56ulyNNdJxhgoE9B2f7yQ0FTtETTHSc9iQUT5P4qVhASDY\\nyJfa2lpDdUjCmVKgdSxB2ZkXN7pdQIwyB5ogiYC3/seLaIJz6GQIA0fCsnIZPP/7ANBhWL2YnQOT\\nqEENY1UFvZkyrDj13AJUvb8E2eddhryho+DxeOBwOGL+2ZxM5yXMJSBKH4JozPOyWGBxIE34rrQb\\n5cprOo0cSKWOZahlAZuaG52TkwOn0wm3253g1sdHqj2HLWXkYwtHOCGYHo8nLUa+aNWV0A7uafpB\\nshknJv0OECR9GtWAKAII0ufTrFlwTr0a0rBzIb//Kjzfr41fI2QzLG1bQTkcxvQLndWf5qAePoDK\\n5xag+sOlyJp6GfLOGgFVVeFwOGKWbSEIQtJ1wplLQETpjMWBNGG04oDRO1w+yXqcsQwETNZjpPTW\\n8Gpmc6/5eC2FmUqUraVAM1eBHeOmw5nXQacWNdbcJ41S0A7KVXfAPGorhLdfhHfv7pi3wdarJ5S9\\nO2O+3WgJGRkQqk82WtpQ/Wk/qp79B2o/XIaMKZcid/AwiKIIh8MRdVE3mUYOBMNcAiKDSoMLjJFi\\ncSBNGK0Dlg5BfUBinze9AgGN9tpsyMjHZ8QT5fqv99zcXEiSFJAH4BsFYKSpALHS3BKGWtc+ONF/\\naujfT6I/p7tLX+Dmh2HZsBrqO4ugnqyIyXZtAwZASdDKBM2xdOnSZDiicnAvqp99BPaPSmCbPA05\\nZw5BRkYGnE4nnM7IpkekymcjcwmIKF2wOJAmjDYMP12C+lRV9Q9vjJf6UwF8w6P1DAQ0cucZMP7x\\npeKxNVX48r3mNU2D3W7XJbHdCDSHHeqeJjq9FiuOT5wDCME/twWoja5YJ5wgwnXmWAj9hsHyxTvw\\nfvJfaFFkBFh690nawoC5W0nYqyYoB3aj5tlH4OjSHdZJ05B9+mDk5eXB7XbD4XC0uOOcSh1t5hIQ\\nGQMzB0JjcSBNGK04wJEDLRcsEBBAQBHAN5dUzxMeo3eegdTsQBtBqAyMcApfsizHbF51OlB//AFo\\nonhoH38FXNltQt5vElXEO4wQiGx0gma2wjlhOqSzJkD+cDE8a1c1O32iIbljJ2hHE7dkYlMEqxWC\\no7rFxRll3y7UPvMwnN16wjppGjJPG4icnBwoigKHwxFWMTnZpxWEwlwCIjIqFgfShBGvtKdDh6ul\\nHedIAgETzYivzfqMXPxIlpP6hnkAsiwHXRownfMAfOL1nClNTCnQegxA+WkTm/z9uuJA/Klq5Csi\\nKDmFUGb8EaaRUyD99yV4t28J6/ekggKIbgc0HVZBiISlpATqvsgzEJQ9O1D71INwlvSGdfI02Hr1\\nQ2ZmJgD4p+CEkqrFgfqYS0CUeoQQo9iIxYG0kS5X2o0mVMcyWDia7yTL4/GkVGfIyJ3ndKDncxfO\\n0oDMAwgtXs+V5nFD3RGio2zLxLFzbmx2GyZBn88pJQYvC2/77vD+7j5YtqyF9vYrUMqOhnysYLNC\\nzs2G2sRjEknu2jWqwkB9yu4fUfvEA3D26AvHpGmwdO8Nm80GSZJChhcaoTjgUz+XwFeQJyJKNSwO\\npAlVVSHLcqKbQS0gCIK/CJCdnc3OUIpi8aNl6ucB1C8CNFwaMJbLqVF01J1bAE/w1Pqac6+GJ7Ow\\n2W2Ighb3QEKTCHjV2L0XXacNA3oNgnXtR/B+sASavTbwAYKIzJLucCfhygQAIFgsEF32mGc9KDu3\\nonbnVrh69Ydr0sUwd+0Bq9XqDy90uVyG/r4ymUyw2Wyorq72jyYgoiTDzIGQWBxIE0bLHDASURQb\\nrZPuCwRUFAWiKMY1EDDRjN55NvLxRXNsTb3ufUUAl8uFmpqapB/9ku6ULaVBb1f7DMbJnmPC2oaA\\nyIf7h0uSRHhj/VoymeEceSHEM8fA/Omb8HzxqT97wda/H9xJGkAIAJbu3WM2aiAY7/ZN8G7fBFef\\n0+GedDHkTt1gsViQm5sLt9sNp9NpqJEDPr7RA74CvyRJzCUgopTB4kCaMOK8bt+Xb6qcWDQXCBhs\\niTRBEFBQUGDoxHQjd54p+OueSwMah6YoUH/c2PiOzGyUjb9B/wY1QYzjlSI1MxfOi2+AdPZkyO++\\nBElxJ+3KBAAgd2562cJY8m7bCO+2jTCdNhDeidPg7NAZZrMZ2dnZAZ1nI2n4WcZcAqLkIhisTxRL\\nLA6kCSNmDiRjcSDWgYDp0HE2+jEa/fiAppcGrF8ESKYgzHQV689Lde92wGFvdHv1pGvhseXFdF/R\\n0uNtqLTuCOW3f4Pt+8+A/btavKqBLsxmiF79h/Z7t5SiZutGmE47A8qki+Eu7oS8vDxkZGRAEAQ4\\nHA54kjS0sSWaOi+pn0vApRCJKBmxOJAmjDitwHdMifhyDRYIKIoi09EjkA6dZ6MIVvySZRmFhYX+\\nIEwjT4FJdfF4n6lBphQoA4bhVLezW7YdHfqpun3KaBpqBk1CpjUTwhtPNrnEYyJYe/SEum9HYnau\\nafBuXo+aLRsgDx4B29RpcOQUQJIk2Gy2gFyCVBXORQtfQVXTNOYSECWAwMyBkFgcSBNGnlYQL+Fc\\nDWUgYPSMXhxIxeNrSfGroKAAJ06cSHSTKQE0TYOyrUFxICcPx8b8tkXbEaBC06HrrkcBAgAkqa4e\\nUHvaSNiuyYT06qOAOzk6u6aOnaHuT4KARE2DeuIojs2/FabeA2CecD6ULj0gCAJsNhvy8vLgcrng\\ndDpT7ru1JSMamUtARMmGxYE0YcRpBbEaDRGqI1Q/GI1XQ+MnFTvPLZHMxxcqB4PFLwqHdnAvUHUq\\n4LaqybOhWLJbtB1Z1Gd0lapTdaD++91Rciasv/0r5IUPQnPUNvFbOpBlSPAkxXtZLO7ozzzw/vgD\\nvD/+AKlbL1jGnwetV3/Y7XZYrVbk5ub6VydJlVF4giBE1FbmEhDpSDDWBdNYYnEgjSTjHP1otLTT\\nxY5QckrmzrMRhLM0YEtyMIh8lC3rA/9/5hhUdhrU4u2YRH2Krl5Fp+JAg/87O/SGOnseLC/eB61B\\nMUVP1p69EjedoD5RgOD1NFpCUdmzHfY92yF26FJXJOg3CE6n0x9eqKpqSixhGu15FnMJiCiRWBxI\\nI74r7Ua5+h1sNESsAwEp/oxeiNGr+OF77ddfHjDY0oC1tbWG+Qyglovl+03dWm9KQX4Rjo78TUTb\\nkQQ9PgM0KLr1sRq/392tO0ObfS9sC++FeqJMr4b4mdp3gHpAn9UJmiN17Ql1b+gihfrTPjhefgJi\\n62KYx02FdsZQuN1umEwm2Gw2iKIIh8MBt9utY6vDF6uLMMwlIKJEYHEgjRjpCq1vKoAkSbBYLI2W\\nRzNSIKDRRnwEY5TXpR4kSQooAAR77ftSv438mqGWi+X7TD16CFp5mW/DODXlRqhmW0TbEgUt7nkA\\nkgDoNHCg0RVxH09+W6jX34vMl++DevigPo0BAJMMSQK0JPguFDKzoB4J79jVssNwvvEfuD55G5Yx\\nk6GdNRJerxeiKAaEFzqdzji3umVi/X3NXAKi2GMgYWgsDqSRVFuxoLlAQKCu41xTU2Po+XnpUBww\\nskiKci1ZGtDIr/1E4t+0aeqWDf5/e886B9XF/SPellk2wemO70guUcfigKqFfr8r2QWo+e08ZL36\\nd6h79QkGtPTqBS0ZphMAkNoUQ9nXsuPWTp6A8+1X4VrxLsyjJsI8bCxqfx45aLVakZeXB7fbDYfD\\nkRTv23h+XzOXgIjijcWBNJKsxYFggYC+L9emAgHNZjOsVqvhpwcYacRHOmrq+QtnGgzDMCkZKVt/\\nLg4UtcXRYVdGta26te3j+xmn50docxfoVWs2qq++Gzlv/gPKto1xbYupuD20A7vjuo9wie06QNkf\\n+dQGrboSrg/egut/H8B89niYR54Lh6bB4XDAYrEgJyfHP2owkZ+XehTzmUtAFKUk7A8lCxYH0kii\\niwOxDgRMl05zuhyn0fmmvzTMA/B4PIaaBmMkfN8Fp548Ae3IQUAUcWrq76DJlkQ3qVl6PZWapiGc\\nd7BmtqJy1p3IfftxKOvXxqcxkgSTLEJVk6CwKAgQVDU2nWZHLdwr3oX7i09gHjoG5tGT4MrNh8vl\\ngizLyMzMhPZz0SARFw/0HOnHXAIiijUWB9KIHp1MPQMBE13s0AuLA6kjVAHMZDLBbDZzRQxKuEhe\\ndw1Hdzk3fA03AG3kBahu3SvqNumzwqA+n6EmEXCrYe5LklE57Sbk2DKhfrUi5m2x9O6THKsT4OcQ\\nwli3xe2C+4tP4P5qJeTBZ8Mydio8Ra3h8XggSRJsNhskSUrq8MJYYS4BUcvwvDo0FgfSSCw70+GE\\nosX7Smi6dJrTpQiSKoLlAfiu3IQqgBUVFaG6ujrBLad019znZbDPdaDx6K7adWuANu1xaNBl0bcJ\\nKjQdOu561eJa/J0kSqiaOhs5GdlQP3s7Zu2Q27WHdnBPzLYXDSEjC+qxn+K3A8ULz7er4Vn3JUyn\\nnwXLuPOAdh1QU1MDURRhtVr94YUulyvuhdlEn5cwl4CIosHiQBpRVRWyLIf9+GQPRUuXTnO6FEGS\\nTf1RML4OU8OlAZkHQKmo4eu6/ud6w2kuDWnVVVB/2o+KK+dBk8L/PglFFvWZRqMJAkKvIxA7kX5U\\nV42dheyMbGjvvhp9JUOUIFpN0KqSI49HalcMRY/wRVWFd8M38JZ+C1Of02Eefz5MnUtgt9v9uQS5\\nublwu91wOp2Gn8LFXAKiJqRB/yFSLA6kkVCdzEgDAUkf6VAcSOSKDL7Xf/0rpsGWBmQeAKWSUCNc\\nfAVVX3G3pZ/ryrZSuM8+H7VF3WPSTpOoz3eKV6+lCqJQPeR8ZFkzgSXPNp9q2ARrn+SZTiC2bQ9l\\nX+QhhBHRNHi3lsK7tRRSSR9Yxp8HU8/T/Msems1mZGdnQ1EUOBwOw5/XMJeAiFqCxYE04Xa7UVZW\\nhsrKShw8eBBHjx7F8ePHceWVV6KkpCSiQEDSR7oUB+LJNx+zfgGg4SiY+inXfP1TqhAEodFUAN+Q\\n4obFXUEQkJWVhVOnTkW8P+/JShwbPDNm7ZcEHa7mQ4PWxPKCsd5bNGpOH4cMaybExf8CvJ4W/77U\\nug3Un5JjOgEEAQISuyyosnsbHEcPQmrXCeZR58LUdyDcbjfcbrc/vBAAHA7Hz6tmRC9Zvz/q5xL4\\nPh+I0pUgGvu8OhosDiSBbdu2Yfny5dA0DUOHDsWECRMC7j958iQWL14Mh8MBVVVx/vnno2/fvkG3\\nZbfbcejQIZSVleHYsWMoKytDVVUVZFlG27Zt0aVLFxQXF6N///7Iz8+HyWTCyZMn9ThMipCmaYaf\\nPhGrkQNcGpCMqrlpLr4pXk2NcPFdPYyU4vHgRK/xgBi7UwdR0OIeSCiJgFenQT+xOBZ7ryGwXTcX\\nppcfgeZ0hP+Logg5ywa1Njm+06WuPaDu02E6QTPE1sVQ9vwIx54fIRZ3gnnceTD1HwSPxxMQXlg/\\nlyBSiRoB11KiKMJsNjOXgIgaYXEgwVRVxdKlS3HjjTciLy8Pjz76KPr164e2bdv6H/Ppp59i4MCB\\nGDFiBI4ePYpnn30W99xzT9DtHTp0CJs2bUKbNm3Qv39/tGnTBtnZ2f6KcWFhIcrKyvQ6PIoBVVX9\\nwWBG1pLREcGmwrS0o0SUjBq+tmVZbjTNJdIRXtGOQHLBBkduq6i20ZAgaECcr+rrOfBKjdGxODr3\\nh+X6e2BeeD+0mvDCTC29+0Ddn/jOOAAItgyoZYcT3QyI7TpCPbDb/3/18AE4Fz0FsU0xzGOnwjRw\\nCBQANTU1EAQBNpsNeXl5cLlccDqdEb3HUqmjzVwCSluCsS+6RcP4PY4kt3//fhQVFaGoqAgAcMYZ\\nZ2DTpk0BxQEAcDqdAOqGvuXm5obcXo8ePdCjR4+g9xlxeHoi56rrxYjPW0OhjjHYnGlBEAJWBeBU\\nGEpF4a4MkEyvbY+amidTeo0e1TQNsYw2cLUrgTb7XlhevBfayfImHyu1ag3t0L7Y7TxKYnFHqHsT\\nnHsgioDiDRrwqB47DOcb/4Hw2Tswj50CedBwQDLBbrfDbrfDarUiNzcXHo/HP2ozHKl6PuLLJQDA\\npRCJ0hyLAwlWWVmJ/Px8///z8vKwf//+gMdMmjQJzzzzDL788ku43W7MmTMnon0ZMd1fVdWU/TIO\\nl9GLA4IgQBAEWK3WgBC1ppYGJEoVTa0M0HCUS7KLR3HASB/dohC7kQM+7sL2UGffi4yF90E9FuJK\\nvCBAzsmCejTyLIlYElq3S4rpBFLXns0WKLTyMriWvgT3ivdgHjMJ8lmjIJjkRuGFqqr6g2mbYoTz\\nEeYSUFpg5kBILA4koYYdwfXr1+Oss87C2LFjsXfvXixatAh33nlnRB19o11p983HN/JQOKMUBxrm\\nAciy7H/uRFGEoihwuVzMA6CUE2plgPoFrkhWBkg2HiU1iwN6fd1JIuCNw9PrzWmFmuvnI+uV+6Ee\\n2NvofkufvkkznQCCAFGSoCb4HEPIyoJ65GDYj9dOlcP138Vwr3wf5tGTIA8dA8Fs8YcXmkwm2Gw2\\nCIIAp9MJt9sdfL8GOr9iLgGRPkpLS7Fw4UKoqorx48fjoosuCrh/1apVePXVV1FQUACg7qLx+PHj\\n/fctX74cADBt2jSMGTMm6vawOJBgubm5AYGAp06dQk5OTsBjvv32W8yePRsA0LVrV3i9XtTW1iI7\\nO7vF+/N1plP5BLU+o3Scm5JqxxjO0oBOpxM1NTX+ok52djbcbndUQVDJzGhFuXTVkpUBkvUzNprX\\nYKxHDghQoUWZ7h8Ovd518fycVjNyUX3t/4f8N/4B94+b/LeLhUXQDu9v4jf1lTQhhK2Koe5v+RKK\\nWnUlXO+/CffnH0IeeQ7Mw8dDsNrg9XpRXV0NURQDwgt9Uz59jPg5L4qi/3OOSyGSUQhJkjmgqipe\\neOEF/PWvf0VhYSHmzp2LwYMHo0OHDgGPGz58OK677rqA22pqarB06VI8+OCDAIC77roLgwcPRlZW\\nVlRtYnEgwTp16oQTJ06gvLwcubm52LBhA6688sqAx+Tl5WHHjh0YMmQIjh49Co/HE/ET7xuGbxRG\\nnCrRULIWB5obLu31euFyucKaM52sxxgrLA6kFl9Il81m8494MULgZbTvMW+MiwOyqM/fLoWeoiZp\\n5gycvGIuct56FMqm7wFBgDk/F+qRqkQ3rY7VBq3sSKJbURdCGEFhoD6tthruj5fDvfoTmM8eD/OI\\ncyBkZEJVVdTW1vqnwuXl5cHtdsPhcBj6c953bIWFhTh16hRzCYhiZNeuXWjbti3atGkDoK4IsG7d\\nukbFgWBKS0sxYMAAf59wwIABKC0txYgRI6JqE4sDCSZJEi655BI888wzUFUVQ4YMQbt27fDhhx+i\\nU6dO6NevHy666CK8+eabWL16NQBg1qxZEZ/kGa0zbfROJZDY5yzUldJYD5dOh+fRqFL5hDjUqheK\\nokCSJP9Jv8fjScnjiyVVAxQttp9DJlGPzkVsQwKbpsMoCElG5fTbkGt7Gqbq41APRNcJjiWpfafk\\nCSGMFUct3CvehfvLT2EeNhbyqIkQs3KgaRocDgccDgcsFgtycnL8xcJUKhhGirkEROG76667/P+e\\nMGFCwJL1FRUVKCws9P+/sLAQO3c2Hn317bffYtu2bWjXrh2uvvpqFBUVNfrdgoICVFRURN1eFgeS\\nQN++fdG3b9+A26ZMmeL/d9u2bXHTTTfFZF9GKw4Y7XgSpbmlAesHAsbjxMfoHS8WPxIr2MoAza16\\nkZubmzJBgXqIR96AJMT/fS8CUHXotAN1BRRdiBIqL5yDnPUfw3R4P+D16LTj0KQ27aK+Wh+TdnTt\\nAXVvHKY1uJxwr/oI7q9WQh4yCubRkyHm1oVJu1wuuFwuyLKMrKws/9B7I352NPyuZi4BpSwdAwl9\\nw/6DCfaeaXi+OGjQIJx99tmQZRmffvopnnzyyZBL2sfiXJPFgTRjtE6KL0OBwhNqacD6yemJWD7N\\naK/LhnjCpI9Yrwxg5NdkS3lUKebbFAUt7h1qUdRvWoEgStBvmIKA8jPOh7XTAOS9/yS0wwd02m+I\\n1sjmhM/fEDKzoR4OP4QwIh43PGtWwPPNKsiDR8A8dgrE/LqlqD0eD1wuFxRFgdVqhSRJcDgcIcML\\nU01TI8Tq5xIoipIWoyeIYqGwsBDl5b8sVVteXh6wih2AgIy5CRMmYPHixQDqRgps3brVf19FRUWj\\ni82RYHEgzRjtSruqqv61ealOOMnpybg0oNE7YkY9Pr2nFaTLygDxEunzFI9lDAVoiPdQfD1Xq3J7\\nVegxtQAAJAnweAFnYWcc/fX9aPXtUohfvpeQDrrUtQeUJBg1ILZuC3X/bn125vXC880qeL77EqYz\\nh8Iy9jyIrdr4i+0ulwuiKMJqtfrDC10uV0oXiptbGcr3XeA7J2MuASUzIUn6QiUlJThy5AjKyspQ\\nUFCAr7/+Gn/84x8DHnPy5El/weD777/35xEMHDgQr7/+OmpqagAAGzduxKxZs6JuE3tVacZoxQGj\\nX3FuSlNLA6ZKcrqP0ZcffNIAACAASURBVJ9Hox9fPPhOMutPB0i1lQGSTTSvwXgUB/Sg39tOg6bp\\n9x4PeDYkGceHz0RmtzOR/d7T0E4c1a0dsFihlZfpt78QxOJO+hUG6lMVeL//Ct71a2Ea8CtYzrsc\\n2s8jCVRVhd1u9+cS5Obmwu12w+l0puSV9ZYWgZlLQNQ8SZJw7bXX4v7774eqqhg7diw6duyIN998\\nEyUlJRg8eDA++ugjfP/995AkCVlZWZgzZw4AICsrC5dccgnmzp0LALj00kujXqkAAAStBe/0w4cP\\nR71DSqzMzEyYTCZUVlYmuikxYTKZkJmZaZjjCUaSJBQUFMBut/s7Sw2XBvT9pOIJBwBYLBaYzWZU\\nV1cnuilxkZubC7vdDo8n8XODYy0/Px+VlZURv/bqF7l8hYCGKwMk4vVtxOcsmvfZoepM2L1yTNuT\\na7ZDjXOH2mLS4PLGv9MuiRrcin7XW2QJsHsaT/UQPE60+moxhG9WADpcpTZ17w1lz/a476dJogix\\nsHVSFCnM3XtDs2VCHjsVUocuje63WCywWq1QFAUOhyOlCpuyLEOWZdjt9oh+n7kEqaW4uDjRTYgr\\n+4vB5+zHWsa183TZTyxx5ECaMdpShkbKHGhqvrSvYp+IPAA9GP3KutGPL5xja2plAF/nnysDJK94\\njBzQ42nW66Wk9/s71GFpshVlY65DdsmvkPn+M9BORZ9cHYpQ1AbKvsRPJ5C69kz8KgkAYMuA99gh\\naLU18G5ZD6l7X8hjp8JU0tv/kPrhhZmZmQDg/9xLdtFOH2MuAVFqYHEgzRhtWkGqFTtCDZVuOF/a\\n4XAEDMMrKChI2aGI4TB65zmdOrvBVgYAEFAEMGqRy6g0DfDGuDggQoWmw/x8vVYQ0PvTq7kpDNUd\\nB8B+7SMo+nwhsGFNXNogWixQ1cRe+RaycqAmOIzRR2rXAeq+X1ZKUHZthbJrK8TO3WEeMwWmPqf7\\n7/N4PPB4PJAkCTabLSCXIFnFIluGuQSUNAzUF4o1FgfSjNGKA8k6ckAUxUYdpIZ5AC6XCzU1NWF1\\n+NOh82zk4wOMF0hY/7Wdm5vrfx9GujIA6SOSk3uvJsS8Iy+L+nQIdFteUOfygBJGnVixZOLYpN8j\\np+evYHv/eaA2dtO2pC7doR5IwBz/BsRWbRKTNdCA0LZ9yKUc1f274Hz53xDbdYQ8ZgpM/Qf7w9AU\\nRUFNTQ0EQYDNZkNeXh5cLhecTmfSFU99I71iibkERMmHxYE0kw6dMD3ptTSg0Z83Hl9yCmdlAFVV\\nUVtbm9RXvKhOpK9BjxL7Aqwk6jEKSot7psEve9KXVw3/uKq6DYH9t71R+NlzwNb/i37nZgu0kyei\\n306UxOKOSVEYgChAUJufS68eOQjX68/C/dl/YR49GaYzh0GQ6k7DfdMG7XY7rFYrcnNz/aMIk2XE\\nYDxXpRFFEWaz2f/dkmyFETKgFDwn0wuLA2nGaCMH9BCsgxTt+uktlaqdy3DxRCCxmpru4gsEDLUy\\ngMlk4rBQg/OojYPvoiUJ8X/PSwKg6PTRolcRAqhbArKlIzm8Gbk4duHtyO+5CuaPXwGckYXKAYCp\\nU9ekCCFEkszTl7r0hLov/MwD7cQxuJa9BPeKdyGPmgj5rFEQZLP/fqfTCafTCbPZjOzsbKiq2miq\\nYSLosWStIAgwm83MJSBKIBYH0gyLA6E1XBqwJR2keDN6cQAw3rD7+pLl+QtnZQBfkYsnZeQT67wB\\nABAFLe5D/kUdiwPhDPOPFUkEEOH+TvYZA3PHfij46Glou7a0+PeFwlZQQgyf15PUpUfA/P5EEbJz\\noR7eH9HvapUVcL/3Ojz/ex/yiHMgDxsLwZrhv9/tdsPtdsNkMsFms0EQBDidTrjd7lg1v0X0KA4A\\nzCUgfQjsC4XE4kCa0utDPhmFk5qebB0koxd1kqXzHC96v9f0XBnA6M8dxWelAgEa4j1PX6+XpaZp\\nkfbVIxLtcbmzinD00r+g4IdPIK94HWhBZ1PMyICa4CkFQlYO1CMHE9oGH7GgCOrBPVFtQ6uthvuT\\n5XCv/gjysHEwn30OhKxs//1erxfV1dUQRdEfXuhwOHSfypWo80bmEhDpi8WBNORL+DdKccDXOWl4\\nPPU7RrIsN5oKkEqp6UbvgBn9+ID4jIzwFQHqTwcA6t7jvtEuqfIaJ31E8jqIR+aAHvT6SDGJgLsF\\nGQDRi8G+BBEVp0+GpfMA5L//FLSDzc/dl7qUQD0QXUc4FsSiNskRhtihS9SFgQBOBzyffwDPms8g\\n/2ok5NGTIOYW+O/25bsIggCr1ap7eKFvlFmiMJeAYkpIze81PbA4kIZ8V6GT5ap4NHwdroyMDH9H\\nqeHSgPVHAqSqdOg8G1m0q2o0V+jiygAUjogDCeMxrUCSoHjj/B2k1zKGOn82i5IJ8MTm4Fx57XF0\\n1nwUff9fSKuWA6GGb8tmaKcqYrLPaEgdOidFYQAmOaarPwTwuOH5eiU8366G6YxhMI+ZDLGojf9u\\nTdPgcDjgcDhgsViQk5PjHw0Wz/O6ZDkHYS4BUXyxOJCGUnGIum+udP0rpL4ChyiKEEURLpcLtbW1\\nhpyblqxLNlLsNBV8mcyFLqMWrnhVqo6qAYoW+88er1dBvKcV6NVl0Pvl7/EqAGL4nIgSTpx1CTK6\\nnYGc956GdrTxkH2pczeoSRBCqLmciW3Dz6TO3aDuDT+EMCKKF97vv4R3/Vcw9RsEeexUSO06BjzE\\n5XLB5XJBlmVkZWX5CwfJ9B0RD8wloKiJxjtviRUWB9JQMp/MS5IUUABouDRgsLnSOTk5cLlcCQvp\\n0UMyP2fUvPrPXzQrA5C++J6L06gBQWlx2n4k9Kvv6Ps6UeI0hcFe1A2Oqx5A0do3Ia75wP8HFAqK\\nkmLJQKlrD6h7kyCEsKBI3+kVqgrvD+vg3fQ9pF4DYB43FVKnkoCHeDweeDweSJIEm80GSZLgcDgM\\nfV5UH3MJiGKHxYE0lOiRAy1ZGlBRml87OB06zulwjEZTf2UAi8UCWZZhs9n8Jy/JGHxJVJ8oitBU\\nS8y3K4v6vN7j1YluSM8xJpoGeOO4Q02ScXzEr5FZMgjZ7z0NrbwMYlY21FPl8dtpGITsXKiHDiS0\\nDT5iRmZi/h6aBuXHjXD8uBFSt16Qx54HU4++AQ9RFAU1NTUQRRFWqxUZGRn+pRGj333yj6ZiLgFR\\n9FgcSEN6FQeaWhrQ1zmKxRXSdOg4J7qgQ6GJothotEvDlQHcbjcURUFVVVWimxtz6fD+M5JgJ8tN\\nvYZrK2J/FU4S4l8cEKBfp13P/odJArze+L/fatv1gf2ah9B6wztQv3w/7vtrjljYKjnCEDt3hxpG\\neGO8KXu2Q84wQ8zNhNq6c6P7VVWF3W6Hw+Hwhxe63W44nc6IitGp9hnPXAJqjsBAwpBYHEhDsZ6/\\nHmrZtPqJ6fG8QpoOHWd2wBIv2MoAvikvza0MYDab/aNjiBJFFEVIkoTMzEz/a7n+tC2Px9PoNVxt\\ntwGI7egBSYh/b1oSNXh1GjmgaPp9Nus5TVYz21A14nIofcch//t3IKz/AkjAkG2xfeekKAzAYoVW\\nUZboVtQxychqlQNt2zdwBSkO+DQML8zOzoaiKHA4HC26KCMIQsp1sOvnEvim7RFR81gcSEOqqkbU\\nUWlYAPB1juqHpSVi2bR0COtjcUA/XBmAUl39gq2vmAUgoJgV7md1PJYxFAUNapy/IvT6uPz/2Xv3\\nIDmu+u77e87pnuvOZW+SVpZWK8nyRZbBwrKtmEuwLQivk8d24ichCY8JkKQq5o0JkHpfDOVUqCRU\\nqErhKi5FuRIISb1OqiDG8JjE+CHG3G2BhGVswFcsy5as1WpXe5lLT9/Oef8Y9XhmdmZ3Lt1nenrP\\np8pl7e7sdPdOT0//vuf3+36FCP5Y6pH9OSAEYGU24cx1f4rY1b+D/NEHQH/6XcCWNMtOKRAWE8IL\\npsFfGrznAQCMHDwIWlkBKkWw2Rfhbtm17u/Umxem02kAqHk4rcewx18P874rAkIZErZFiQMbEM45\\ndF1v+bNmPwCvOApzNCDnvHbzG1U2gjjgHaOMD3HZyQBRfv2ifGxhp1U3C4CGkZZisVjzbkmlUgCq\\nBUGnBGFISCAQtImfrPs+RgAusXNANvXCh5Uex9yvvxfaVb+Nsce/AXrk24BlBrp9tvOi4FMBOoBs\\nmgI/8cKgdwMAwMYmkES59rX+zGG4m3d2rIg1mxd6vgSm2f61HHZxQKFQdE60KypFS1zXxfLyMo4f\\nP465uTmcOXMGb3/727F9+/YGs7RhcUzfCMXJRjpGP29A6kUAr4CqF7ts25Zynm+E108RHJ2IAEEI\\ntkIATgDiQJQgFIDEj0iZXQoAWo5mOKk85t50G7Qrb8Losf8C+8l/B7K6TzJ58FMnfH/e7neEhKo4\\nzux/HUj5NUNEujwPdvpXcLde2NXzeOaFhBAkk0nk83mYpolKpbLqWMN0/L0wzPuuCAjlOdAWJQ6E\\niKeffhr3338/hBA4ePAgDh06tOoxx44dw0MPPQRCCLZu3Yp3v/vdbZ/PdV0sLCxgbm4Os7OzOHPm\\nDObm5uC6LsbHx7F582Zs3rwZV1xxBRhjOHv2bJCHFxjKcyAa9HOMzeaXuq7XfC9UMoBiWGgV5Qr4\\nO9LSzU2yK0ggkYMybtNl1QJU8nVZZpcCgVhze04yh7PX/iHYlf8DY098E+zH/wcwym0f3y10XHJk\\nYBvYzj2hGSeI7bkYsfLqpAT9mcNwp3b3NE8jhEC5XEa5XEYikUAul4Nt2zAMo/Z5SSlVBbZCsUFQ\\n4kBI4Jzjvvvuw+233458Po+7774b+/btw5YtW2qPOXv2LB5++GH8xV/8BVKpFAqFQtvn++Uvf4kH\\nH3ywQQS45JJLsGnTJqRSKYyOjg6tGNDMRiicNwKdvI6dJANUKhUUi8VQiQBRPkejfGxB0cq/BUCD\\nuWUQnQDdrv4F4TcAyFn9llXGyD7zHYldChoTsN31j9CNZ3D2mt8D2/+bGP3ZQ9AOPwSUi31tm14w\\nEwphgKQz4KdPDno3qlCKzPbNgLG8+keFc2CnnoO77eK+NuHFHsZiMWQyGXDOYRjGUBoS1qOEDcUq\\n1H1LW5Q4EBJOnDiBiYkJTExMAAD279+Pp556qkEceOyxx/CmN72pNjeayWTaPt/evXuxd+/elj+L\\n2kp71I5no1JfZPaTDBBGhmEfFf7TztwyrP4tzQThN0CJCxkltaw6JojOinYQyE1GYAToxt/djaUx\\nf9WtoFfciLEn/w+0w98Eij3Et1IGmP51IPQDndwM/vLgowsBIH311WAthAEP/Zkfw71gjy/t0pZl\\nwbIsaJqGZDIJTdPW9CRQKBTRQYkDIWF5eRmjo6O1r/P5PE6caJy1m5urRuh8+tOfBucc73jHO3Dp\\npZd2va2oufurlcvhpb54isViiMViEEIEPks9CKJ6jirhAy19LYBGEaDb6LAwYHP/4zdjVEbVLuBK\\nOi1lnv6MEUDi4i1jFOjh0sv1JOavvAXkde/A2C8eRuzR/4IoLHW+3Z17QmFCqE/vghMSYYBkskjF\\n+JpqDS0tgb3yLNzp7u8L2+E4DgqFAtLpNBhjyOfzMAxj6IQC9TmlWEWE6iC/UeJAiGkuJjjnOHv2\\nLP78z/8cS0tL+MxnPoOPfOQjtU6CTlEXSYVMCCGrZqlbFU+WZa3rmDysRF3AivKx1dPczdJ8Hg+L\\niWunBNE5wCSIAxQAl7SiL3MlX2O0u6X8PqneK/R+fEJPYOGK3wLZ9zaM/vI7iD/6DYjlc2v+DsmG\\nxISQMbil9qObssledSWIsfbfDgD0Z39cHS0IoPDxBM5EIrGmeaFCoRhulDgQEnK5HBYXF2tfLy0t\\nIZvNNjwmn89jx44dYIxhfHwcmzZtwvz8PKanp7venteKP8wzZIpw0W8yQNTjKBXDgSdmaZqGVCpV\\nWzEDoiECDNpzgBER+Go7pfLGClyJH6GyNTjH9SdyUmhxnHvdO0AuuwGjz3wP8UcfgDjX2vOIjk6A\\nvzJ4rwE2c2EouhcAQN+xEzFjcf0HAqDlFbCXfwl3Zp+v++AZEgohYBgGDMNAPB5HNputdUap+0nF\\nUKHSCtqi7sZDwvT0NObn57GwsIBcLodjx47htttua3jM5ZdfjscffxzXXHMNisUizp49i/Hx8Z62\\np8SB4SOIqL9e6CQZwDTNnkwBo7oCHeXOgWE9tnoxq94TwBOzCCG1dIBhFAFa0e3rFETnAIEI3CyQ\\nVlsHAocQQEjsHKgW6vKu/26LGMN+EEzHucsOAZe+FZO/egza978KMX+m9nO6bSYUwgDJj4O/cnzQ\\nu1Ejc+EOkHJn4gAA6M8dqY4WUP/GgloZEpqmCdM0oes6RkZGasJBGMcAB33fpFAME0ocCAmMMdx6\\n66245557wDnHNddcg6mpKTz44IOYnp7Gvn37cMkll+CZZ57B3//934NSiptuugnpdLqn7UXNd2Aj\\n4Ak6sgoV2ckAw1pkKsIt6qzV0eKZW1qWhVKp1HAeZzIZ2LYdGWGgW7gAXBGMOBC0IaGss5FRwJGo\\nr8vyUagSoG8D1XB2z5uB3dci/8KPkPzR/66KBD7GIPYDzWTAV9Zv4ZdB6soD0LoQBgCAGgVoL/0c\\nzq7X+7Yfay1M2LYN27bBGEMymQRjDIZhwLIs37avUPgODe99y6BR4kCIaJUwcOONN9b+TQjBb//2\\nb/uyLc55qG/ouyUsq+pBElTxvFYygDcOICMZQIkDin5oJwL009Gykc/HILoGZBHVGEOZOpVORfDn\\nAGVYuugtWNrzRoyeOIrED78e7PY6gE3vBj85+O4FACCJBFIjGmB1bzShPX8Uzo7LAObPbX4n10LX\\ndVEsFkEpRTKZRCqVqkUjKhSK4UGJAxuUqMX/yV5VHwT9Fs9rZavXdwK4rjsQkUV1swwnss8VTwRo\\nNgasFwG8hAs1NtU7QfgNAJIK94hqxJYj78AoFfKSEQiDceFVOLfjIHIv/xTpww8ALz8vaeN1xOIQ\\nywvyt9uGzMGDoGZ3XQMetFKC9tJTcHbv93mv1odzjlKpBEJIzbzQsiwYhjGwewuFYhXKc6AtShzY\\noEStENsIq86dHGOnyQBhjAfcCK9hVAnidSOENJzHzd4Wnh+AEgG6o9Mb5WBWjTm4hPt0GduoIu96\\nRSAkHpd880N+3rthefpKLE9ficzpXyLz468DL/xc2j6wbTPgL4XDhFCb2oq4vdzXc+jPH4WzYx+g\\n6T7tVXe0Mi90XXcoY10Vio2EEgc2KFEbK4haJ0Qr6ovn9ZIBhtFRXYkDG5O1DC49TwA/vS02Mt28\\nvxzun5mZByPB+w0A8sQBmeuRUR+PbX5rF6b2onDLXqTmf4X8T74OPP04goy5IBObwV9+IbDn75bM\\nZReDlPrzPSCmAe3Fn8G56EDf+9Pv6nu9eaHnlWUYBmw7+GxO1TmgUHSHEgc2KJzz2opyFIhqYVlf\\nOMViMSQSCQDwJRkgbET1NYw6nd541Z/LnqDVSgQoFArqZi4EBNE5oFMZ1yh5K+xcYlIBpQAk6rwy\\nUxiEELDbbK88sRvlG/8SyV97BfmjD4A8dRjgPv8hCAHV9dB8hiYufz30PoUBD/2Fx+HsvBzQ4z0/\\nh59+Ts3mhZ4vgWmavjy/QtEx6n6zLUoc2KBwzqHrg2k1C4Jh7xxolwxQXzhZllWb5YsiShwYXupf\\nN08EqD+fm1MuZBhcKvojCM8BJkEcYARwJRW2rtRaUu610e8Yw7XQKWCvsz1jdDuMt/3fiB38XYw9\\n/g3QY98HHH9WndnMheAnQtI1oOsYmRgBKkVfno7YFWgvPgHn4mt6f44AzJ4980JCCJLJJPL5PEzT\\nRKVS8X1b6nNGoegOJQ5sUKJWiA3L8fSTDJBMJodaAFkP9QE+XHiCViKRgK7riMViDSKArJQLRTAE\\n0TnAiAiyMxxAtf1eSuSfEODS8wpkIaQKH92YH1qZTZj99T+GfvWtGDv2n2A/fQQwe3fDJ6kR8LlX\\ne/59v8kcPAhaWfH1OfUXjsHZ+Xoglujp94NMghJCoFwuo1wuI5FIIJfLwbZtGIYRmk4ORUSJ8P10\\nvyhxYIMy7CvtzXDOa+77YSCIZIBhEUD6IerHN4w0d7Xout4gaHndLSsrK0oEGAI6eY0cTiACKHwJ\\nROBz+rIuIZTK7RyQ1Q0ByO2+AACNEnTbVG4n8zhz7f8Cu/IWjD/5ELQj3wLK3a+2081ToekaYOOT\\nSIiy789LHAv6r47BvvTXevp9SqmUa7sXexiLxZDJZMA5h2EYoTNPViiiTniqKYVUoiYODKpwbhWp\\nBgSTDBB1cSDqxxd2vK6W+nPaEwG80ZZWnQCeF4YSBsJPp++voPLtCRFAwEWnNHFA8rWKS2zzZ1TA\\ndSUeXx+RYm58BHNX/U/QK34T4798GPqPvwmsLHX0u3Rqe2iEAQDIH7gCZGUukOfWfvUE7F1XAPFk\\n179LCJG6im9ZFizLgqZpSCaTIIT0ZV6oPpsULVH3m21R4sAGJWpRhkGmL4QlGSDqxfNGOb5B36i0\\nGm0BGrtaisViV10timgRhN8AADn2/pJOWZmXKiGEnFGJ8zDJl2HH5QD6O+e4nsTZ1/8PkMt+A2PP\\nfQ/xw/8FnFuj0KYUsMNjghe/+FKwgIQBACCuDf2Fn8K+7E3d/+6APrccx0GhUAClFMlkEul0GoZh\\nKPNChSJglDiwQYlalKEfYkdzpJonAoQlGSBqr1kzURcHZNOJCOBHV4sSEKJHUJ0DMs4UeVdmmSv5\\ngCN1JV/epoDVMYb9ILQYFva+Dbjkeoz+6kdIHf4GxJlTqx7Hdu4BP/6cfxvuB0oxcsEEYPjrNdCM\\ndvxJ2LvfACRSXf3eoEVtz4iZEIJEItG1eaH6jFK0pI+OpaijxIENStQKsW6Op5NkAK9oCpMhTtS6\\nPZqJ2jnZTFCdA4yxVeczgAZjQL9GW9oR5ddtI2LzIGJuuZSIwSjWAbrGYEqNMZS5LQEniFETyrC4\\n5y1YvPBNyJ84itThB4CTLwIASC4PfvIl/7fZIyPXXAMWsDAAAMR1oD9/FPblb+nu9ySPFbRDCAHD\\nMGAYBuLxuDIvVCgCQokDGxjPdyAKF9VWHgprzVAPo5t61IvnqNPvObaWyWWzqKVQtKOT8zCIzgGd\\nEchYkpZlEsglGvZx7kLm7ZrMEYZOYgz7glAszVyNpZmrkT31JEZ+/L9BHRO8cDy4bXYByWaR1BxA\\n0mVbe+kpOBe+ASI50vHvUEpD97limiZM04Su6xgZGakJB632cxju7xQDIMKLbf2ixIENTFSKzfoR\\ngHw+H9kZ6qi8XhuZTl6/+uJf1/VATS79YJjfUxuNjg0JA/AcYPAnk34tCBBIykIrZCYVyO7zdyWa\\nH3YTY9gvKxe8DoXfuRyZU08i891/B86clLPhNcgduBLEOCdte4S70J47Avv113X+OyHpHGiFbduw\\nbRuMMSSTSTDGYBgGLMsa9K4pFEOLEgc2MN5qe5Amen6yXjKAEALFYjE0RZPfKHFguGl+/VqZXAKN\\nIoBhGEPx/lTnZXTgIpgYO0aDF5E0DbAlXP6FEBK9DaR5LAIAKITUrggq+dKhM4GVC16PlT/Yh/Fn\\nvo3ED+4HSgW5O+Hty8wu6Mai9O1qL/8Czp4rIVLZjh4/aM+BTnBdF8VisWZemEqlatGICkVL1H1L\\nW5Q4sIEJY5xhfTJA/cppJ8kAiUQissKAYnjxzmNd15HNZmvvOZlJF4ru2YhiHCEEIDqCWKlmRAQ/\\nyy4EZKyyMyo3WlDmtjQmYMk0P5RMTYygDAt73w524RsxefSrYEceBmRegwlBdvd2kHJnsYu+bppz\\n6M/+BNb+Q509fgjEAY9m88JsNov5+flB75ZCMVQocWADM0hxoJNkAMuyUCqVQtvOplB4NIta3n/1\\nopbruiiVSpGLYRqWm0bFa6wlwp5dDqb9n0Ig6NJL1iq07NVuR2abv+RjExK7FACAkMbrlRtLY/ba\\ndyOx7xDGf/BvwLNPSNmP1JUHwAYgDHiwV54BuegARDq/7mOHSRzw8DwIyuXyoHdFEVZUWkFblDiw\\ngZGxMuaJAPXjAMOQDKBQtGK9zhbbttt2AmSz2cie4xtthX2YqL/+xuNxxGKxVedrvQi7XIkB6C7q\\nrCOIACQXgkEh9XwXQqpBYHPxHDRyvRvaJzFUsltx6jf/H2Sv+Bky3/03oEX8oV+QZBqpNAMGOBZP\\nBIf+zE9gXfn29R+rru8KxYZCiQMbGD87B8KQDBCl9AXFYKkXAeo9AYQQNVGrl84WdZOlCIpmEba+\\nc8UTATRNQ6FQWHP8KoikAgBSBueHbHGzIxgFbIlt/jJX8gOLMVyD9fwUXvMjeBiJ798PlIu+70Pm\\nmqtATfleA82wk89WuwcyY4PelcAYto4HhUTU/VhblDiwgeGc10zQOmWtODWvfbpUKg0kHnAjzghH\\nDe81lHXutBMB6sdbTNNEsVjsW3SK6vmpbr7ksp6R5VoeFslkct3nt3l3nwmdIuMskXcmynsfy75k\\ncIlvZ43KHZkAOtweZVjY+xtgu9+IyaP3gx31z49A27oNcWvZl+fqFwIB/dkfwzrwfw16VxQKRYhQ\\n4sAGZq1ipV0yQJgz1TnnkSy+6pFdPMsmqOPzRIDmc7peBFDjLb0T9ffdIFgv0tLrxvLbyDKIGEOA\\nSyk6Zb11ZRbQst9bMmMMNSrgSLzcditGuPERzL7x3Uhc7p8fQXbvHpCSvOjC9WCnnge56CqI7ETb\\nxwzz/cYw77tCMSiUOLCBKZfLWFxcxIkTJzA7O4szZ87g93//93HBBRcMpZO6ECJ06Qt+s1HEgV4h\\nhDQIALqu10ZNvIJqUCJAVDsHFP3BGKuds61EANmRlkGMFWhERoqAvNl8mVF/chGBxFi2Q/blkBIO\\noPvzu+ZH8PqfIfO93v0IEq+7AlqIhAGg+q5MPHcERpvugSjfbyg2OBGvF/pBiQMh5Omnn8b9998P\\nIQQOHjyIQ4daiHiH3QAAIABJREFUx8088cQT+Jd/+Rd8+MMfxvT0dNvnK5VKOHPmTE0AmJ2dRaFQ\\nQDKZxPT0NCYnJ7Fnzx4cPHgQsVhsaGNfNkLxFfXuiE5fw+a0i3oRoL6zxY9xAL+I6g3WRnjf+UG9\\nCNA8kiWzG2ut89DhBCKAIl6nwQsbFACX1O4v00RPphBRXcmP7nuZ9Wm2uLKt6kcw8fTDiP+gSz8C\\nPYaR8RRQKfW1D0FATj2P7P63wh4ZQ6VSabhGDLs4MMz7rlAMCiUOhAzOOe677z7cfvvtyOfzuPvu\\nu7Fv3z5s2bKl4XGVSgXf//73sWPHjjWf79lnn8XDDz+MLVu2YPPmzdi3bx8OHTqEkZER6LqO0dFR\\nnD17NshDksYgoxll4XVHDEMnRy80f5DXiwBeYdVKBCgUCkNxE6CK6OjjmbPWCwEAGsxZBzWStd75\\nF5QZIaPBvzcplTNWQCACEVDaIXOEIaYzOKa8DcqOMfTlZaMM85f9BtiF3fkRZA4eBK2Ew2ugFeaR\\n/wZ56+8hl8vBsiwYhlG73wiLwK5Q+IlQ92NtUeJAyDhx4gQmJiYwMVGd/9q/fz+eeuqpVeLAgw8+\\niBtuuAGPPPLIms938cUX4+KLL275s6it+EXteFoR1WOsFwEymQwopTURxGutDjrtImii+tptVMIs\\nAvRKMH4D1XbuoN+2VNJbi1HAkajNylzJF9xFL233vSI/xtC/v2XNj2DfDVU/gud+1vaxbGISCR6+\\njoF62JmXUHn1OCpjU4jH48hms7WupmH9zAVU54BC0QtKHAgZy8vLGB0drX2dz+dx4sSJhsecPHkS\\nS0tLuOyyy9YVB9YiaivtnPPaDXpUGfYCk1K6qrW6XgQQQsA0zdqqhSL8DPs5uR7152x9TGu9J8Cw\\niQDtCKpzgAIIup6WdQrKPNcJhFx/A4nX3EHEGAbhSVHJXYBTv/X/YvT0U0h9+/8D5lb7EWSvuByk\\ntOD/xn1Gf+YwzGt/G6ZpwjRN6LqOdDoNALAsKxLXOIWiBolO/eM30a6kIkL9zQjnHF/72tfwh3/4\\nh30/b9Ru6qN2PK0YlmP0VlXrRwIIIQ2rqq06ATKZDFzXjaQwsBEMM4eZZuEqHo8DQO18HWRMqyyC\\nEgdABBBwISjrFdE0DXDkbI1WjRSkIcuzARhEjKGA4wa3vcWpy7H4h3+/yo8gfsml0IdAGAAAdvYV\\n0IVT4OMXAABs24ZhGGCMIZlMglIKwzBgWdaA91ShUASJEgdCRi6Xw+LiYu3rpaUlZLPZ2temaWJ2\\ndhaf+9znAACFQgFf+MIX8Cd/8idrmhK2I0ozZVHrhGhF2MSBehGgflW13mStm3GAsB2fn0T52IYJ\\nb4SlXgio716pjwj0ugKixNqGhCygjQbztNK3AcBx5LXeyxqV8IhyjCEjCD6JocGP4Ktgj38XI1sn\\nAGMl2O36iP70YZhvurX2tXdtLJfLoJQimUwilUrBMAyYpjnAPe2MqAq5Ch9QnQNtUeJAyJiensb8\\n/DwWFhaQy+Vw7Ngx3HbbbbWfJ5NJfOITn6h9/dnPfhY333xzT8IAEC33+41QfA3q9VpvvtpxHBSL\\nxb5X/TfCa6iQQ6ciQDvhyusciBLrGhIG5Dkg4/ZclnGf3FJD8sq6xGJd9mVeoxyuG5D41UTVj+CP\\nMLbvjWC/vF/KNv2CLZwCPfsK+OR2ANVrhrd4xDlHqVQCIQSJRAL5fB6maa5KOFAoFMONEgdCBmMM\\nt956K+655x5wznHNNddgamoKDz74IKanp7Fv3z5ft+ettkfB/X6jdA54OehB0IkIEOR8dZTFgSgf\\n2yBpl2gRJTNLGXCBgGbAuZTCXZY4wGUaBErbEqCRoF7/cEBlGF80sZC9ENOaDuLYcjfcJ/rTj8Gs\\nEwear5tCCBiGAcMwkEgkagkHlUolEl2oio2BSitojxIHQsjevXuxd+/ehu/deOONLR97xx139LWt\\nKM1Bb4Tiy69jXCtzfZBO61E6HxX+QghpOGd1XV8Va2kYhm/u2hvhelKPwymCWKnWiQjkeRsR0sSB\\nIEzt2iHTjJDRYGfym5EeYzgAHM5QyW9Dcv74oHelK9jiLOiZl8A3z7QUB+qpVCqoVCqIxWI1zyDD\\nMEKx4KTEYIWiN5Q4sMFRYwXDRbfH2GwK6HUd1HsChMlpPcqvYZSPzU86EQEqlQoKhYK6+fORoMwI\\nNRp8kSBlnhwAhJBq2icz6k/2pUl2jKHU1IfzWC7FUmbn0IkDwPnkgg7EAQ/LsmBZVkPCgdexpVCE\\nEuU50BYlDmxwNkIrfpRoV2C2EwGGLW4tygV0lI+tFwghq0ZYGGPgnDd0rxSLRdWq6iPtbvSD8htg\\nNPjXjhI5K/qUyitqhRBwhbzPZpmXJhHYCEt7ZJotepgOw2xyF6bQe+T0oGBLc2CnfwWS3d+VCGvb\\nNmzbriUcMMYGlnCgxGOFojeUOLDBUeLAcOHNV2cymVoxBTSKAGFp6esF9WEePTwRoF4IqBcB6oUr\\nJQIEy1riVFCdA5QIBP22llXYUkqkRQsyyR4AssYyACDGAEviCINss0Wgek66guAsmwKPJUEtQ+4O\\n+ID+zI+Bi7sTBzxc10WxWBzKhAPFBkEt1rRFiQMbHDXjHU5aragC1Q9cSiksy6rFrUWNqK6uR71z\\nQIkAw01g4gCC94GT9baS+e6lFNKECECuOMAYpJoDVmMTJd/neH9PQmFN7ETi1V/K3b4P0JV54OVn\\ngPzWnp9jkAkHarFBMSw88cQT+NKXvgTOOW644QbccsstDT//z//8T3z7298GYwzZbBa33347Jicn\\nAQDvfOc7a4l1ExMT+MhHPtL3/ihxYIPDOQ/U/V7Rnvpiqv4/IUStmGoWAQghGBsbi6z6HuUCOko3\\nKvUCgPf/8fHxmieAaZpqHGDIsHlQnwMyDAllIe84ZF8GHYlt94zKPThG5XcOiLpzZT45jW0YPnEA\\nANwnvgf8+u/3fUK2SjiwbRuGYajPCcVgCMnCKOccX/ziF3HXXXdhfHwcH/3oR3HgwAFs27at9piZ\\nmRl88pOfRDwex7e+9S3ce++9+NCHPgQAiMVi+Id/+Adf90mJAxucqI0VeMcTpg+bZhHA8wTwRADb\\ntjvuBIhy8QxE//iG7diaO1jqxav683Z0dBTz8/OD3l1FHzgBeQ7IQNaqt1x5T961gkJINewjIJD5\\n1xzEmV1vkPlqfBe2rfHYMCOWz4IunAKf8O8IwpxwoFDI5oUXXsCWLVuwefNmAMC1116LI0eONIgD\\n9TH2e/bswQ9+8INA90mJAxucqI0VDLK4bNdWLYSorahaloVSqRQq8SJMRFkcCPOxtTpvAbTtYFEM\\nL606WBxOAnPhl1ECymrKkVlAy2w00piQ6gHgcA6p3SQDuOzWG3wuaZNwkxkwoyB/R/qFaeC5TYE8\\ndauEAy+O1g+i1K2nGG7uvPPO2r8PHTqEQ4cO1b4+d+4cxsfHa1+Pj4/j+eefb/tcjzzyCK644ora\\n17Zt48477wRjDDfffDOuvvrqvvdXiQMbnChFGQKvdQ4EWcSs57Ku2qp7J8wFdBRQIsDGpt17K7h5\\nbC5lVV9WgoDUyzmRN+4nucsfsi8vA4kxdBrfU+X8DmSMn0vfj76Z2gXosUA30Zxw4JkXDiLhQLFx\\nEBLvNT/5yU+2348WIla7z+rvf//7ePHFF/Hxj3+89r3Pf/7zGBsbw5kzZ/A3f/M3mJ6expYtW/ra\\nXyUObHCiNlbgZ3HZiQigDNb8JcrigMxjWy/a0rZtJQIoagRlRqhTGX4DomG+O7CtCCHTHxC2K8+r\\nQWpugABsyZcdmX4KAAAhYDaN6SykdyKD4RMHyPQl0rbVKuHAG0HoBdU5oBgGxsfHsbCwUPt6YWEB\\no6Ojqx735JNP4mtf+xo+/vGPQ9f12vfHxsYAAJs3b8bevXvx0ksvKXFA0R9REwd6OR5CSIMAoOt6\\nzbegPm9diQDBo8SB7mCMrfIEAKo3Wd4oi5rlVKyHHZDfgM6CvznXGIEj4fRmFOCSikwhBByJdY3M\\nEkpngC05xlBWZ4lH9TLfeIyvJnZjRu5u9I2gDLjgQsBypG53kAkHig0ECUfts3v3bpw+fRpzc3MY\\nGxvDo48+ig984AMNjzl+/Dj+6Z/+CR/72MeQy+Vq3y8Wi4jH49B1HSsrK3j22Wdx8803971PShzY\\n4EStGFvreCilq9qqPRHAK6QqlYoaB1CEjk5EAE/AUii6JajOAY0KiIAvpYwQOBLKW5mt94wCjsQC\\nWmaMocbkdg7oTAQmfrWlxT1IkebgpMeglc7J3Zc+EJtnQLSYdHGgtv26hIN4PN51woESEhTDAGMM\\n73vf+/CJT3wCnHNcd9112L59O7785S9j9+7dOHDgAO69915UKhXcfffdAF6LLDx16hT+8R//sVbL\\n3HLLLQ1Ghr2ixAFFraCOwoXU6xyIxWJrigCe6c0wHnOUXi9FI4yxVaMsQFUEaO5iUSj8IihxgAgZ\\nZbscczuZIjqjACQW0K7EtnsqeTGCEQF/7O06h7d5PxXzO5AfJnFg+8Whuc8wTROmaaqEA4VviJB0\\nDgDAG97wBrzhDW9o+N473/nO2r//6q/+quXvXXzxxfjUpz7l+/4ocUAhxcQvCLxOgGZPAAC1Aqpc\\nLsNxnNB8wPmBEgeGH08EqD9/gddEANUJoJCJzYMxvyOQNzcfLSS33cuMMZR8OgyiMdJp8/ecT+9C\\nHsck701vCMpAtu0JXRell3CgaVogCQcKhUKJAwqEXxyglK5qqfb2t95czXEc6LqOeDyOQmEII4M6\\nJGqjIFGm/tz1/j85OVkTABzHQbFYVCJACIm6+PbamJUOZ3F4ryfyXqbh/RuthU4FbImdAzJHGABA\\nhCCpwONUbBd2g5wXzcKNu2kaLJYAD+l9oeM4WFlZaZtwEPXrt8IH1H10W5Q4oAhNsVm/muoVU4SQ\\nliJAuwu/ECJSBoutCMvrpXiNZgGr/tz1RllKpRI0TcP8/Pygd1exgag3XGWMYXx8vEFcLRoOhrnw\\nlVUCyCxqZdY1jArYEheH5ccYyt0eAJhO604ck6bgZDdBXzkjeY+6x916IbQh6FCsTzhIJBK1hAPD\\nMAa9awrF0KLEAYX0xIJWLdXNhVSv4wAboXCOWsLEMNFqlKVdF0vYb6r8JKqjLsN0LfGiV+vPz/ro\\nVdu2wTnHuXPnGl6nkq0BCCbHXEZhJqvrmUtcgZba5i9tS9XrhCU1qWAAMYZY+/Ur5HZgLOTigKAM\\n7pZdQ3VN55yjXC7DMAwkEglkMhmcOzc8/g4K+YTJcyBsKHFAEVixuZ65mtdS7bqubx9AG6Fw3ggC\\nyKBpl2yx0UUARTioPy91XQdjDEKIVckVzfPCqVRq1fkamBkhuIRVfQFXwttPCCF1BVpmQSvz6qVR\\nwJHYpUAgpIo6ALDeu2kutRtj+ImUfekVd9M0oMeHShzw8BIOwuaVoFAME0ocUPTdir9WzJpsc7WN\\nUDhH/RhlrkJ3Em+pRADFoGjVCQCgdl21LAvlcrkvv5igYt40GnyKAAEgJKx9U9LeZM5/5Ba0Mv5+\\nHowKqeJAXCeoSPap4+v8PV+NzeBiykB4OGf5gepIAYDaZ6FCEUkifB/dL0ocUIBz3lGxuZ4IEIaY\\ntagXzkD0jzEIcaB+7tortqIUbzloojpWIIu1uqxs2651qgRhGhtU50BVHAgWJmklmlHAkVTLMQq5\\nHgBSYwylbeo8HOuv5fvLeiMhDonByk0hvnhS0h51h6AU7pZdADDU1/Rh3W+FIgwocUABzjl0XQdQ\\nvRldXFzEli1bkEgkai2r3s+a21YV8tkI4kCveHPX9S3XnghQL2AVCgV186CQTqv0CkJIrRNgEAKr\\nE5Q4QIKvcGUVmzKvt3JLWbkr+bIZRCpAJ504K9kZTIZUHOCT1ZECYLg8VxSKrlGeA21R4oBESqUS\\njh8/jn379nX0+Keffhr3338/hBA4ePAgDh061PDz73znOzh8+DAopRgZGcEf/MEfYGxsrKPndhwH\\nZ8+exZkzZzA/P1/7NyEEmzZtwu/93u9B0zQlAoSQqCcydCJ+NIsArczXKpUKisWiaotUSKcTz4pS\\nqRSKcRXbbe2s3i+UBD+nH8nSRWJBpjMCW2J3u+xYwUG8tcw2MYb1zCZ3YxI/lLA33eNs3TPoXfCF\\nQV9XFYphRokDEjh+/DieeuopvPTSS4jFYrj00ktrq/Ht4Jzjvvvuw+233458Po+7774b+/btw5Yt\\nW2qP2bZtG/7yL/8SsVgMP/zhD/HAAw/gPe95T8vnm5ubw9GjR3HmzBksLCyAUorJyUls3rwZ27dv\\nx5vf/OaGmVYAqFQqvhy/wl8457W246jiiQPrObCvZb4WRqLafh/1bpZ2rNWpMgyeFS4n685I90p1\\n1TbgcyKCnQMyzxIque1ehnlkPbLNCCEErA46B87o27FP00EcyYYI6yAohTu1a9C7oVBIQWzAe5ZO\\niXaFMUDK5TJmZ2fx85//HKdPn4YQAq973etwySWXdLTqe+LECUxMTGBiYgIAsH//fjz11FMN4sCe\\nPa8pvDMzM/jpT3/a9vkYY5iensZVV11Vy7n20HUduVwuMvnrUS3APKJYiNWLAJqmIZfLNYwDOI4D\\n0zRVJ4BiYDR7VkShUyUovwFZyLrEE8ogq2yXubou82NECAEn4jGG1b/n+tvkhKGS34bk/PHA96kb\\nxOaZ2kgBMNyr78O87wrFoFHigM84joPTp0/jiSeewLPPPot4PI79+/dj//79SKfTHT/P8vIyRkdH\\na1/n83mcOHGi7eMPHz6MSy+9tO3Px8fHMT4+3vJnUYv/U+JAuGkXw+YVWa7rwjCMSHauRP3cjAKe\\nAJBIJEApRTqdbjg/LctCqVQaKhGgHcMuDsiKF7Tt4JMXPFypUX/yqMYYyjQ/lB9j2I3aspSZCZ04\\nQHfsRT6fh2EYsCxLfU4pFBsUJQ74zFe+8hUcOXIE09PTuOmmm3DRRRfVfuY4DiilPRfi7QrCo0eP\\n4pVXXsEdd9zR0/NGbYa90/SFYWVYxIFmTwBN01YVWa0c2Cmlkb0pGZbXrluG8bjq01fqjVe9ThVv\\nVKVYLA54T4MjqBhDQE7hLksckNkOL7OAlnmVlR1jqFEBS3KnAu9CbJtN7sYUvhPg3nSHoBTG2AUw\\nlpeRSCSQy+UADHdigUKxJsqQsC1KHPAZIQRyuRy2bNmCV199FYVCAZs3b8a2bdu6mhPP5XJYXFys\\nfb20tIRsNrvqcc8++yy+9a1v4Y477uh5Dj1qxbQndgQR+xUGwlaI+Z3FHrbjUww3rRICgPUjWFOp\\n1CB2VypBdQ4QcIjA16WDNzysbkYE5svQDIWQ8Hd7DZldCrJjDBmRX9B2I+ycZVPgsSSoZQS4R53j\\npRQIIWqdAyMjI8jlcrAsC4ZhDJVIMEz7qlCEDSUO+My73vUuLC0t4fHHH8eTTz5Zu8Amk0ls2rQJ\\nl156aUdCwfT0NObn57GwsIBcLodjx47htttua3jMyZMn8ZWvfAV/9md/hkwm09d+R6ndOerF5aCO\\nz28RoB1Rfv2ifGyDxksIqBcCCCENEazFYlGlr9QRlDig0+CrTkbWz5T3ZTsMkKUzUwpAWsEupM/k\\nS2UAh9aJGWENQmHktyM991xwO9QFzSkFXsRqqVRCPB5HNpuF4zgwDCMSI1UKhUwhdthQ4kAA5PN5\\nXH/99bj++utRKBTwzDPP4OWXX8bs7Cwef/xx3HDDDTh48OCahQJjDLfeeivuuececM5xzTXXYGpq\\nCg8++CCmp6exb98+PPDAAzBNE1/60pcAAKOjo/jTP/3TnvbZ8x2Iwmp71DwUmgn6+NZrt7Zt2xcR\\noB1RLqCjIL61QuZrRghZZQ7YHBMY5oSAMBGUOKDR4D9HKJHT7i/zWiTzskeJXDd/+TGG8j9DTKe7\\nWNDFzM5QiAOtUgrqx/tM04RpmojFYshkMjVfoCjcLyoUitUocSAASqUSzp49i3Q6jcnJSVx11VW4\\n/PLLUSqVcOrUKUxOTgJY/6Zj79692Lt3b8P3brzxxtq/3//+9/u2z1EqyKJ0LEFSLwJ4/wFoWGlt\\n1W4dNFF//aJ8bH6yXoylNw5QKBQCEQGifh4KATgBiQMyWrplvTSS/e6lbUn2TL7sGEPZ2yPovpPl\\n1fhubAtmd7rCGymohxCyqkPAsixYlgVd12tGrYZhhK4bS4nCik4QynOgLUoc8Jnl5WV8/etfx5NP\\nPonLLrsMN954I0ZHR/GDH/wAo6OjOHDgwKB3sSVRWm2P0rH4AWNslTkgsP7M9aCImkFmPVEvOHul\\nnXlls0il2ln9o9o1EMy5WHWKD+Spa8h7G0XTIFCmB4D8GEP5sYm9sKRNwk1mwIzCQPfD2Xrhqu+t\\nNWZq2zZs2wZjDKlUCoQQGIYB27aD3lWFQiEBJQ74zPPPP4/5+Xncdddd+O53v4tvf/vbeNe73gVN\\n0/DTn/4UBw4cgOM4PZsHBkWUCuqNWoANmwiwFhvx9RtmOn3PrTey4pdvhV9E+TwMMsaQEAEE3NYt\\nq5CWWbDLbPOPcoyhLD+Khm1qek+/V85NI2P8wue96RxBKNyp3au+36pzoBnXdVEoFEApRTKZRCqV\\nqpkZDhLVOaDoCNU50JZwVagRIB6PgzGG0dFRXHLJJXjooYcAAOPj47VIrDAW4VFarY2S0NEKxhgI\\nIUin0y3d1wc1DuAXURZ3onxs9awlVHndAGpmdbAENVIAQE5FLen+X2bB7qoYQ1/QKIfrdjf/3y+m\\n7aKXW+qFkZ3IYHDiAN+0eqQA6C7CkHOOUqkEQkhNJKhUKqhUKn7vrkKhkIASB3xm8+bNyOVyeOml\\nl2qq6uzsLH784x9jx44dAMK5GhWlOMOoFGD1EWzN7uuU0loG+7CKAO2IyuvXiqgdm3eOeucppbTm\\ncj1s3SobDbsbZ/UQIiXGEICsSRYhBByJFbusvx8A6BqDKfESQCkAybpjr++nVxMXYsbfXemKViMF\\nQKMhYacIIVAul2EYBhKJBPL5PEzTRKVSkbqarzoHFJ0gInQv5jdKHPCZTCYDx3HwhS98ATMzM+Cc\\n45vf/CYYY7juuusAhFcciMpq+7AJHWuJAO3c18fHx6V/4MoiagV0FKhPCKgXArxzlHMO0zSHLgt7\\nIxPkWIGMwtOVULQLIaQlCzIKqXPyMtv8q+3p0bi/aIfl9HZ8RZqDkx6DVjrn8x6tjyAU7pZdLX/W\\nyVhB2+c9b1ToiQS5XA6WZanPB4ViSFDigM9QSpHNZvGWt7wFQDVxYGRkBLt370Y6nR7w3rWHcw5d\\n721mLmyEdUSiOYe9ucDqJoLNK6Cj+EEbZXEg7MfmJQTUCwFel4o3DtDqHPXiraJ4PkaVoMQBAi4h\\nP1pIyajWKGBJKqJ1jcGUtNpNIKSOS8j2EZV5bAAAIWD20YlTzO9AfgDiAJ/cDsQSLX/m1/2FN14Q\\nj8eRzWZrI2XKXFYxaFRaQXuUOOAz8Xgc73znOwe9G10T9qKlGwbdOeCJAO1WWdsVWN0QpdermSgf\\nW5hoFgHqYwI934pisahu4iJKUOKAToM/X6oGd4FvRup1SAgOQM6cvMYE7CjHGErsigA8X7Pet7mQ\\n3ok8jvm2P53ibN3T9md+Lz6YpgnTNKHrOjKZDDjngZnPKpFaoegPJQ4EwPPPP49SqVT7r1gswjAM\\nlMvl2jxWsVjExz/+8dCkFkRprACQc1PXrtW6fpXVi/fx+8MqygW0OjZ/aRaqvJhAr1vFsiyUSqW+\\nRIAov2ZRxOUEXARzvddo8MvfusbgWMGrAzJPaZn1DCMCskLnBhJjKFvP7PO9dCq2C7tAQCTaRFZT\\nClqPFADB3UPZto3l5WVomlbrpvUWSxQKqah7lraEozKNGP/+7/8O0zSRTqeRSCSQSqWQTqcxNjaG\\nnTt3IpPJIJlMhupmOmrigJ/UiwDtWq2DEgHaEeViLOrHFtT7rD4msD4hoN4cMEwxgYrBEaTfgEaD\\nL3Q5dyE3jC94ZIoDUY4x1KgINomjBf2OMVRoGm5uM7TlWZ/2aH3WGimQgeM4WFlZAWMMyWQSjDHf\\nYhBV54BC0R9KHAiAv/7rvx70LnRNWOf0ZdI8b61pWkOrtee8HoZW6yi/XuqDfW3qDSy9/6uEAEU3\\nBCkO6DqFJWFVXw4yW+9lluzytiU7xlD29gB/xI/i6E7kJYoD7VIKZOO6LorFIiilSCaTSCaTqFQq\\nME1z0LumiDjKc6A9ShwIiGKxiPn5eaysrNRGCRYWFvDWt74VExMToVupH/Scvkw8EaC+uGolAngu\\n7GEk6q9XVI+tm66ItQwsvY6VsERZRrnbI4oEKQ64jo2gi09Z8qHMuD+Zc/Iyj4tKviwM4q7K8iEW\\ndDa+A3k85sPerE91pGD32o+RLNJzzlEqlUAIQTKZRD6fr5kZdotaYFAo+kOJAwGwsrKChx56CCdO\\nnABjDJqmIZlM1lb2AIRKGACiN1bgrax7f/9WIoBnuhZmEaAdqhiLDp2MrfRrYKlQ1NNrJntYkPU2\\nkLaaL4TUzgFHtpu/TAZwaKbTv5Hkq7GduJhSEAn3IuuNFAwyCUkIUVtQSyQSyOfzME0zstHNCkUY\\nUeJAAPz3f/835ubm8Du/8zsYHx8HYwyUUhBCkEgMbsZrPYY5Hq+5uNJ1HWNjY7XiyjTNUIwD+IUS\\nB+TicqBka0hoLmKst/cHIaQ2EpDNZtt2rBQKhaF8DyrCj3deOSI4V3wZp66MlW8hhLQVdsYAW1oD\\nkIAr8WNQSBYiZMcYEvgjIjkkBiu3FfHFk/3v1HrbWmekIAz3gUIIGIYBwzAQj8eRy+Vg27aKQVT4\\nhow43GFFiQMBUC6XsW/fPuzevXbbVtgYBnGguc26nfN6NpsNTct1EETZcyBsOBxYqmjggqDiVP/P\\nBQEBwCigUY4440hoLtj5l6TdeeqNg5TLZSVWKQKnOVFF13VMTk7i5UJwXvXBf3zIKW4ZkVdoyryS\\nyzbskx3FEJ0eAAAgAElEQVRjKNP8EACIj3MTK9kZTAYsDnQyUhC2+0AvBjEWiyGTycB1XRiG0dJc\\nN0z7rVAMK0ocCICLL74YL7/8Mo4fP45cLgfLsmqO9qOjo5iYmBj0LrbEGy0IQ8GylgjgOA4sy1rT\\neT3qxUrUjy8smA7BiskaFGZKBCh57QbE4YDDKYoWrT6OMFBKoFNApzZ0WoFObFAKxGIxJBIJZbY0\\nBAzTTeZaPir1iSqapmF+fgGmk0MQ/dcEPPDVGAI5Kz6UApAV7CHxWi7TsG8QMYYyuyIAfzsjziR3\\nYRI/9O35WsEnt62bUhCW+8BmLMuCZVnQdR3pdLrWXRDVRSBFsChDwvYocSAAtmzZgkceeQS/+MUv\\nsHPnTgghIIRAqVTCFVdcEUpDQmAwvgOtbmgBdCwCtCOMf18/ifrxhYGyXS34Oy2iCMH5nGoH4IDN\\nUcsSF0KvrkISCo05ICKGGOVI6C50KlTcbkgJowDXfM30hFNPBGjno+IdS3XVOJjjitHgCwpGIaW4\\nDeNr7wcyDQJlxxjqTEj30/DTSHJW347LmA7iBtfZ42zds+5jwtY50Ixt27Btu+bnRQipxUkrFIr+\\nUeJAQOzatQuTk5PQNA3xeByxWAycc0xNTQEInyEhEGyren0HgK7rq0QAvzPYo76yHvXjGxReQsBy\\nhaDoYxwbIQAjAoALwV0IACWboGRriFEHukaRjctapvQfNebiP81mqppW/bj20ip6FU6DTCpgNPhz\\nWLb7vQykzslL3JbsWMGYzmBLnmPwU4zgRENldBuS88d9e856qiMFu9Z9XNjFAQ/HcVAoFMAYQzKZ\\nRCqVQqlUUiKBojPUPXRblDgQANPT05iengZQ9R+wbRvJZBKxWGzAe7Y2fsTjMcYaZlw9EaA+fq3d\\nrJifRD3qL+riQND+F82z2F5MoGU7OHm2DCPAnHaXAxQCSWbXPpsE55gvaRiJcyS08N+UKfyj3blY\\nf830ugH6RQgRrDhAgj935V315G1JZj0rs1lctpDDXQdAcGabrag4/r6fljIzgYkDfGIbEEuu+7hh\\nEQc8XNdFsVgEpVSJ1AqFDyhxICAqlQqOHTuG5557DufOncPk5CQmJibw9re/PbQXr25a1etFgFar\\nWn7e0PZC1Fcyoy4O+IU3i11/rraaxbZtG44rsFTRAokUE0LAFRQ6cZDSWgtjOnVQsYCSqSOftMGi\\nuES6genEFyDIyErvehGkOECJBId/eemC0pBrohfdz0WZXRFA9VS0fPZUOJPchSl8x9fn9HAuWH+k\\nAKh20A3jHL93LVUoOkFE+VrYJ0ocCADOOY4cOYLHHnsMr3vd6/D000/jjW98I44cOYLvfe97uO66\\n60JZ3DWLA5zzVSta9SJAffxa2D5IOOe1roUoEsbzx0966RyoP0+9rhUvJnCtWWygeoO3XNF8Nzrj\\nAhAciDEHiQ4iEAkBNGJj2aDQGEUm7g5F51vUz8du6dUXQAZBzmRXPTeCPQ9kFe1c0o0jgZAY9ydg\\nOdWtStma5GJddjICo/77d8yxreCxJKhl+Pq8nY4UAFUhMYyGhAqFQg5KHAgAwzDw2GOP4QMf+AA0\\nTcOjjz6Kq6++GjMzM/j85z+P6667rqvne/rpp3H//fdDCIGDBw/i0KFDDT93HAf33nsvTp48iVQq\\nhT/6oz/C+Ph4x88vhMDi4iJefPFFzM3N4ZVXXsHs7Cxc18XHPvYxMMYG3gnQLapzYLhZ6/jaFV7N\\ncZad3twYNkHBYvDzJs/l1WeLMwu0B42KUQ4hOBbKGtJxjqQaNQgl6/kC+O2l4gdBdg7IIPDOhPPI\\ncr1nFNJ6/RlBIJ1R7Yh6jCGCuMcgFEZ+O9Jzz/n6tHTLDOKZfEdJOcM2VlDPsO63Qj4iwvfQ/aLE\\ngQCIxWJYWlqqRZZ5N4bpdLrW8tRpYcc5x3333Yfbb78d+Xwed999N/bt24ctW7bUHnP48GGkUinc\\nddddePzxx/GNb3wD73nPe1o+X6lUwssvv4zZ2VmcPn0aZ86cgeM4GB0dxbZt2zAzM4OZmRmMjY0h\\nFouhXC7398cYEBu5eI4CQoiWIgDgn4mlEEDJpijb/nWYOC4Boy6SzPFlxV+nDkwLKFsa8glHjRoM\\nCJm+AEETpDgg47ZcjjggYTziPDIv44wKuJKiBWXHGBIIucaOCK4zYjGz03dxwNy8EzHGkM/nUalU\\nUKlU2j52mMUBhULRP0ocCADv5nF5eRm5XA6WZeHYsWM4evQo3vjGN3ZV2J04cQITExOYmJgAAOzf\\nvx9PPfVUgzjw1FNP4R3veAcA4PWvfz2++tWvtt3GmTNn8Pzzz2NqagpvfvObsXnz5ppRYjweRzqd\\nxrlz5/r9EwwcFfU3PFBKVxVejDEwxmBZViCjK0IAKyaD6UOLtRACLieIURdp3f8VYkIADQ6WDQrG\\nqqkGYdOFoiJW1fsCJBIJ6LqOZDIpzRcgaGyXg4sAxYHA/yRyinZGAXnNHvLeN1GPMfR7/n89ghLa\\nXo3vxjYfn08QCmdqF5xyGYZhIJFIIJ+vdhEYxurxhWEWB4Z1vxXyEUTVCO1Q4kBAXH755Th58iRy\\nuRy2bduGo0ePIpfL4c1vfnNXN9HLy8sYHR2tfZ3P53HixIm2j2GMIZFIoFQqYWRkZNXz7dq1C7t2\\ntZ47i1IrflSKlSjhxQTWdwI0r74Wi0U4joNsNotKpQLLsnzfD5cDyyY7n/fe3/MAQJw6SOjB35Aw\\nygHBsVBmSMeApK5mQvthPV8A7/+FQmHQu+oLhBCYAXp1UXDfPTtWbYPIif2jEj87ZJYyMj8RZccY\\nDqKpynSC2eiSNgmeGAGtFH15Pj5xQS2lQAgBwzBWiQSVSqVWWA+zOKBQKPpHiQMBcdNNN9VWOm++\\n+WZomoZt2/zRgjspenspjKMU/6c6BwZHc0KAruuglHa1+hqUuGO7wLKp9VVgaJRDJw5cMpiYXJ26\\nMG2gbOvIxW1oLBrv2aDwOlO69QVIJBK1x0aFIMUBnQa/1M4owMNj3+ALMlvhZZZ7sot1IiFGsxnD\\nf+26Rim/A5nZX/jyXM7W1ikF3nhBPB6vdbkahhGZ+0CFYi2CFrOHmWjd+YSIeDyOeDwOAJiZmen5\\neXK5HBYXF2tfLy0tIZvNtnxMPp+H67qoVCpIpVJdb0sV1IpuWCuarT7Jolgsdu18HIQ4YDoEKybr\\n6QOh6igOJDUbXFTnngd5/1QdNbCxYhIwygY+ahCGTp0o+QIEhRngoTMa/DKxzAl2WbgSW+9l+SgM\\nAtkL3QTBvnYLIzuRQf/iQDWlYPeajzFNE6ZpIh6PI5vNglJaE/SHDdXxoFD0jxIHJNHrzfP09DTm\\n5+exsLCAXC6HY8eO4bbbbmt4zL59+3DkyBHs3LkTP/vZz7Bnz56eOweUOKBoxXot2KZp9iQCtMPv\\nD/iyTVG0Oo+dqppbUZQtHUtGHMumjnzKBQTHlpECklqAS0ZdwIgAhIOFMkMqBqQ2wKjBWqJUFHwB\\ngiTIzgEmYeVWlv4k66wRQsCReIrK9ACQHWMo24wwaP3o1cSFmPHhefjEBUA82dFjPZFgdHQUmUwG\\nruvCMIxQpa0oFH6hPAfao8QBSfS6qsYYw6233op77rkHnHNcc801mJqawoMPPojp6Wns27cPBw8e\\nxL333ou/+7u/QyqVwrvf/e6+91XdVIcfT8zxU91njDWsvjJWdfL3EgIsy5ISzebXSrQQQMGiqDhr\\nJRIIEBDYnKJk6jhXTsBw9IZHJDQHFad6uXxpuRoTmo8byMbLSDAbjA72/aJTF5YNGJaGXMKF5l8A\\nw0BZL7bS6wQYxhWuQVAJsHOAkuDNAmW9y2QVmoxCmqO/bDf/yMcYItjCokhzcNKj0EqL6z94DdqN\\nFKwF5xzLy8vQdR3pdBpCiNBFsioUiuBQ4sAQsHfvXuzdu7fhezfeeGPt37qu473vfa8v2/J8B5Q4\\nEH76KaDXy2d3HGfgKwb9igNcAMsV1sJRuioGmA7DSiWGhXICrli7mk7HXJSaBIYlM4klMwmAIxur\\nIJeoIK2ZA2vvJwTQiIMVk4ASDdm4DSpp8LdfMadXXwBF5wRtSEggEPhyqqSPJVeS1iQ1PYAJ2BGN\\nMawKU3IvvG6AqR8exfwM8n2IA52MFDRTf//nXXs1TUM6nQaAWldWGFH3rQqFPyhxQNFAEKvRg8Ir\\nWKL6gdFJQdacEKDrOgghtU6AsM5h95uc4XBguaLBFeS8XwCFYWtYqsSxaMTQ7aoPX7PooVixUlix\\nUmDERT5hIBszkNAG8zettnfbOGdQJDUgHQ/P+a98AQaHEIA15H9WGTPzQgjI+vSTKSQyAgSoDTVu\\ni8r1UtCo/BhDVwR/+7yQ3ok8jvX8+92MFHi0uv9zHAcrKytgjCGVSoEQAsMwYNuyziiFwn+EMt5s\\nixIHFA1EKc4w6l0Q9eLAWkWX14I9THPY/axElyyGgqmhZGtYLMdRtOJ97UucuTCczi6VrmBYMEaw\\nYIwgzmyMJsrIxCrQAjZr4wJwOautZlHCoREO2wXOFhl0BmTjLoJ6a7c6p5rPx2HzBQiDyaKfOJwE\\nuvAu41WUsaLPKMClFbYSLRYluvnHNBKok38zMvwumjGs4DtlTsV2YRcIen3n9jJSsNY9k+u6KBQK\\noJQilUohlUrBMIxAIod7IayfJQrFsKHEAUUDUYoz9ISOKHRBeDSbseVyORBCGoouT9Ef5g/Kfgqz\\nX54ZRcnW139gh6TjDspOrOvfM10ds6UcZksZjOgm8gkDad3su5WYCwKH0/NttASMcDDCoVEOrcWa\\np05dQACLBgHAMBJ3Edf8Ozc0TUM8HkcsFsPo6OgqXwC/zSoVvWG5wYq+wV9uhJToKUaItBV2mVdo\\nmQaBsmMMpSeSCQHTCX6jFZqGk52EvjLX9e8KQuBO7er69zpZUOGco1gsglKKZDKJZDKJSqUC0zS7\\n3p5CMShUlGF7lDigaCBKiQXDvvLXPA7AGGtICPBasCuVyqB31Xd6fe2qHQP+CQOAHx8gFEU7iaKd\\nBIWLXKKCXNxAgtnrthVzUTVKFIKCoNoRwAiH3kMnQnV1zUHZBFYqDAlNYCTOO25tXssXwHVdcM6x\\nsrKifAFCSpDz5pS4gd9oabQ6LhQ4Mj8yiDznUJkxhlUhUN6xyU5GILQqzMqgkJvBWA/iAB/fBsS7\\nj7TuptuSc45SqQRCCJLJJPL5/EDvSYZ5QUShCBNKHFA0ECVxYFiOZT1H9nYJAel0eqjFj7XoVRyY\\nLXR/M7QWsS5GCjqBg2GxksZiJY0Ytc/7E1SgMxcu9zoC6HlzQReMCsQoB3ycgiYE0IkLlwMLpWqe\\ndTbu1BIOevEFYIzVoq8U4WS1Mad/9CJWdYumMThWtNQBy5Fg4ngemR4Asot12ckIkHh8c6ldGMNP\\nuv4994ILe9peL6OYXpqBYRhIJBLI5/MwTROGYfS0DwqFDFSUYXuUOKBoIEqeA2HrHFgvIaBbR/aw\\nHZ+f9HJsXABnit2ZL63HSI8jBZ1gcR1zZR1z5SzSuoGtIyuIMX+FgPXQzgsPKxUCwmLYNJZENsl6\\n8gWI6rkYFYIcK2Ak+HNWSBpLkVZnCgFXWpEppBbQcot1uckIgLyoSwB4NbYTF1MK0sX5LwiB02VK\\ngYcnBPeCEAKGYawSCSqVilrVVyiGCCUOKBrgnNey7YedQXUOeO3X9UJAfUJAfT57P0RJyGmmlxuJ\\nhVICju+roxJuAoVAwUrixSUd2zNLA0k5oEQA3MTZeROvcoaYRpCJOYEZGCrkE6SbuxxDODmr7LJq\\nGMYAW9JbXaci0M6RZmQW64xAoshSxZHYheGQGKzcFOKLpzr+nV5HCoDeOgda4Y0XxONx5HI5WJYF\\nwzACFQmUAKHoBuU50B4lDiga4JxD1/2d2R4UQRfPXkzgWu3XpVIpMEd21TnQyKzPXQM6dVH2caSg\\nHYQIQBDYXMOLy2OYSheQjxtSY87q0akLwc8bGBKGTNxBbB29UN2UhR87yM4BKgJPEpB1hskqNGW+\\nvSkV0hqSKBG11BQZaJTDdeUuaARt7tnMSnYGk12IA72OFAD+iQMepmnCNE3E43Fks9maabIyqFUo\\nwosSBxQNRGk1mnNea93vBy8hoL4bwEtBGGQsW5TFAaC7NnXLpThX7i+ysJlMIriRgnoa1WuK06Uc\\nSk4MU6kVMDq4otszMCxVgGWhIakLpGNuW9EiyufisMNFsEWvxhhcHqzfhIxLqxBCmnGfzPeLzLem\\nJkEoqodSAJKtTiqOXDHiTHI3JvGjjh7bz0gB4L844OGJBLFYrOZPYxiGrz41SqRWdIPyHGiPEgcU\\nDUQtyrDbY2mXzV4/DhCWWLYoiwPdHtuZQjKAFjEZLcyi5YroipmEYQ9uzKCeqoGhA8etGhgyVjUw\\nZOpzdWgIsmsAwPkRqWDfLzKKdkYBLrFlPIpIjzGUDIFczwEAmNW34zKmg7jrh2zy8Qt6HikAghMH\\nPCzLgmVZ0HUd6XS6ZmaozGwVivCgxAFFA8Pi8N8Jawkd6yUEDEM2e5Req2a6FQf8HinQKPc1paAd\\na7XghmXMoB6NckBwLBsEjtAwmnSgM6FWbEKOzYNd6Qz+1ZezGi3zPSazwJSdHiAT2YX6IOBEQyV/\\nAZILL637WHfrnr625XVFBo1nwqxpGtLpNADUOjB7RX0OKbpBeQ60R4kDigaiVHAKIcAYQyKRqAkB\\nntmiZw7YLiZwGIhy50A3FEwNJctfn4xM3Ibhyh4paEV1zMBwYticXpFk/LY2NmdwBYPOXCxVGOIM\\nyCVddS6GmKDN6IJe1SeQcyNHJZ7DUtMDohxjKFm/H1RBsZzZua44IAiBs7X3kQJA/niY4zhYWVkB\\nYwypVAqEEBiGAdtev0tCoVAEgxIHFA0Ma8HZKiaQEFJLDvArISBMDOtr5Tezhd5bKNtBJMyxthsp\\naMWSmUTJ0rE9O7gxA5dTWEKDTl3otPrHoUTA5sCZoo5MdvDCheI1jxTveqjrOgpnBWAEU0VR4iLo\\nkQJK5RSBMq+m8gp2uR4A0mMMJY+ByBRa6plN7cIWfGfNx/Q7UjBIXNdFoVAApRSpVAqpVAqGYcCy\\nrEHvmiKiKM+B9ihxQNFA2AtOLyGg3huAENKQEFAvAkxMTKBQKAx4r4Mh7K+VDLgA5ooJX5+TEQ7D\\nDj6xo1tXb1t4YwZF5ONlaS3QriCwuA6duojR1ooJIy5eeLWApMaQiQ9fF86wwhhruBZ6nVH118Ji\\nsYiVUhJAMOd0jAZfeTIix3NO1qowgZDWDi876k9mjKFGRQDxtWsjMxKynjm2FTyWBLWMto/pd6Qg\\nDHDOUSwWQSlFMpmsiQSmaa75e2qkQDHMPPHEE/jSl74EzjluuOEG3HLLLQ0/t20bn/vc5/Diiy8i\\nk8nggx/8IDZt2gQA+NrXvoZHHnkElFK8973vxRVXXNH3/ihxQLEKb7RgkPP2hJBV5oBeTKDnCzCI\\nhIAwocQBYKEc932eOpsIy0hBKyhOl7Io2TFMpZcDTTPgAjC5Do0KxNj6pRkjHKYDGE4M40lLGRb6\\nSCtRFECDKLqW83eQBQ2TIA7IQlZSAaWQFi3IqIArqWCXHWOoaxSO5IVl0xnQhY1Q2OMziJ9+uuWP\\n/RgpAMJTZHPOUSqVQAhBMplEPp9HpVJBpVIZ9K4pIkJYPAc45/jiF7+Iu+66C+Pj4/joRz+KAwcO\\nYNu2bbXHPPLII0in0/jsZz+LH/3oR/i3f/s3fOhDH8LJkyfx6KOP4u6778bi4iL+9m//Fp/+9Kf7\\nHg9X4oBiFTLFgeYW2FYJAd78WVg+tBThIYiRAhnRWN2MFLRixUqgbGvYnl1GUvN3NpMLwOIaKAFi\\nrLtrACEAg4v5so6RGEc6proIuqVdYopn4NWtKCoEAl1dZUQEHjMo6xZO1mq+TEd/JjHqT3aMIYGA\\n1GEQIWAFnPyxFvOpaVyA1uKAHyMFQScV9IKXZmAYBhKJBPL5PEzThGG076BQKIaJF154AVu2bMHm\\nzZsBANdeey2OHDnSIA4cPXoUv/u7vwsAOHjwIP75n/8ZQggcOXIE1157LXRdx6ZNm7Blyxa88MIL\\nuOiii/raJyUOKFYR1Ip088oXYwxCiFXjAGFOCFCEB8ulOFeO+/qcjAoYTvhGClrhCA3Hl0exJV3E\\nqE9jBqarAYRA71IUaEajHIYNlO1qF8EwepwG3ZnTbiSgPjbVj+uhI0igKyQE/QldnSCrXJFX2Mor\\naBljgC3nLyg7xlAIDiDYJI56CCWQ60zRyKn4blzQ5mfu1gv7fv4wigMeQggYhrFKJKhUKlWxPaT7\\nrQgvQmLn7Z133ln796FDh3Do0KHa1+fOncP4+Hjt6/HxcTz//PMNv1//GM+8s1Ao4Ny5c9iz57Vx\\norGxMZw7d67v/VXigGIV/SYWeJ0AUUwIUISHM4Wk70VPJm6hImGkwD8oZs+PGWztY8zAchk46HlR\\nwJ+bLEIAAhdnyzqycRdJfWOKft6IVKuRgPruqKCuh3bAK50yVm9ltPvLSkQA5IkdAOA4LoAhVOc6\\nQHqM4YBjE5e0SfDECGil2PgDQsBm9qJfq9owiwP1eOMF8XgcuVyudk+pUISVT37yk21/1uo917ww\\n0e4xQb1flTigWEWn4kCrhACg8zlYGXirf8PwgadoZL3XbraY9H2bMlpwhRDgPhchBSuBX9nVNINu\\nxgwcTmGfTyBgJJjiXaMcJYugbOsYTdhD2UXQKfUJAc0jAY7jDMQnxW9PjkEgQxygVEhrv5dZ1MpM\\nD5AdYyg7qUC6GNGCUn4HMrO/aPieO34BWDqLfCzWkXlfO4btXsk0TZimiXg8jlgsppINFEPJ+Pg4\\nFhYWal8vLCxgdHS05WPGx8fhui7K5TJGRkZW/e65c+cwNjbW9z4pcUCxCiFETRzwWrlGR0cbhABC\\nSK0TIMwxgZ7QoboUho+1xIGCqaFk+dv+T4mA4QR/SSREQARg2uUIhuPLo9icLmJsnTEDVxA4XAOj\\nvG0CgZ9U94XjbFlHLuEioQ13F0G9MNpqJMA0TRSLxVCMSAXt5h58KSHkiAMSW0xlnhYyo/dkxxjK\\n9DcA5IsRrVgY2YkMmsSBrRfCPD+X349537CJAx6maap7PEXXyBYz27F7926cPn0ac3NzGBsbw6OP\\nPooPfOADDY+58sor8d3vfhcXXXQRDh8+jMsuuwyEEBw4cACf+cxn8Fu/9VtYXFzE6dOnceGF/Y8Y\\nKXFgSCmVSvjXf/3Xmkr0nve8B6lUoxnNyZMn8R//8R8wTROEELztbW/DG97whjWf8/Tp01hcXMTs\\n7CxOnjwJwzCwadMmvP/974dt2yiVSkOVEBB1R/8od0Z4x9YqueLUK/5furJxGxUevN9AwInwOFMb\\nM1iB1uQk7wrA4jFo1IXWp69AL2iUo2C+1kUwDG/NWCzWIAQ0C6OD7o5aj2Cj13jghXvV2D/4E0XW\\nqSiEPEd/KjEyEZBbPA8ixnCQZoQeryYuxEzd1wIEzlS1GGhl3teNSEApHdp7iWHdb4WCMYb3ve99\\n+MQnPgHOOa677jps374dX/7yl7F7924cOHAA119/PT73uc/hjjvuwMjICD74wQ8CALZv345f+7Vf\\nw4c//GFQSvHHf/zHfScVAAARXbyjXn311b43qPCHBx54AKlUCocOHcLDDz+McrmMm266qeExc3Nz\\nIIRgcnISy8vL+NSnPoU777wTqVQKCwsLeO6553D69GnMzs6iWCwinU5jamoKO3bswPT0NDKZDBIJ\\nfzPkZZPNZlGpVCLbbjY6Oorl5eVQrFD6QX0RlkwmwTlvSK5wHAemZePRlyZ9b5ceT5so2RIiDIWQ\\nMtusEbc2ZlBNINBBqQAj4biJcjjDaNJGjIVjf5pHArwxKa8ryjv/hu0m9JWVEVTcYNYBGHGR0oK9\\ntmqUSykCdUZQkRBTR4moGn9KIMa4tIKWEgFXYrGe0FxUHHkjM0IInDOSoRgtuP5Xn4FWWgT+f/be\\nJEaS67z3/Z0TQ86ZNXVVV3ezu0lKJCWyRVomrelCtOy+ulemJfv5akFYEkBvBEPixoYX2hiw4YW9\\nMKCFJRmGYZsCDPjiPd8HwtN7D6ZsSVeiJbU1UpQoihTJbvZQc+UYmTGc8xZRWayqrjkjTmYl4wdR\\nXV1dlRGRGRkZ3/983/8PRDNn6b3vf+z6c0II8vk8uVzuUA7/+XwerfWxxxKGSWZmnTxnzpwZ9i6k\\nyk9ffs3Idt569wUj20mSrHPghPLcc8/x5JNPAvDII4/wuc997jZxYHZ2dvPrWq1GuVym3W5vulyG\\nYcilS5f44Ac/SLlc3vzZQqFALpdjfX3dzMGkyJuhc8BU7GSSHOTU3uv1kFLSbrcJgu0z9MvtXOLC\\ngEDTNTBSAGaEAXhjzGA632Gi0Bs4gSBpbBlR71o4lmAin2wc437s5ZWycyTAtm3y+TyNRsPYvqVB\\nmp0DjjQQd5v6FmJMST4mHf1Nbst4jKHhj3UpxEgIAwCtiQtM9MWBM2/d8+cOcvjfiRDixN1L9Dlp\\nom1GxiiTiQMnlGazSa1WA+LCv9Vq7fvzr732GmEYbkZhXLx4kYsXL+76s+NUUCulxuZYdmPUXysp\\n5W0jAXA408pcLrfrsS00B8ty3o1qPqBnZKTAcC43krVukU7ocKbSum3MYNjEq42ahZbLVCHASbCL\\nYLdxFCnlifBKSQqlSbWF3TJxPhl6u5gq/ExeroXBLiHTMYbDTg4YJiulu5jgexsjBXcf6nf64wX5\\nfH7T4d/zvG1F9biOKGZk7IaphZqTSCYOjDBf+MIXdl21euyxx470OPV6nb/927/lYx/72KFmUQaN\\nMhwltporjiOjIg7sVYhtjWtrtVpHKsR2u0nxI8FKJ5fkrgNgW5qegTrH9MqT1ppQC0I/x89Wbc7V\\nmhQdc6v0h8WWEWueRd6Gav7oxfrW867fiTLslIBRIO0YQ0toUn9KDb1k5la9zV0DRsVwKw3Mmh+O\\nVlfrxOEAACAASURBVCFx3b2LuxCo6TOQLx3pd3eLAeyLBJk4kJGRAZk4MNJ86lOf2vPfKpUK9Xqd\\nWq1GvV7fNhawlW63y1/+5V/y2GOP7dkpsJNMHDg5DEMc2KsQ22rQFgRBIjcZO49tsVVI/CbN2EiB\\nIa+BrVhCE26sHEfa4rX1CWaKbWaK+6cZDANLavwIFlsu00U/jpXc+TP7jASEYYjv+7Tb7RPbGps0\\naccYCnTqtbuRUiWFeNE9N2VkKzEmUh76jHuMoUk/hYPoyhJh9RT6zPFdybfGAFarVcIwPJEjin0y\\nUSPjqIyS4DdqZOLACeWBBx7gypUrXL58mStXrnDp0qXbfiYMQ/7qr/6Khx9+mIceeujQjz1OBbVS\\narOAGEfSFAcO8gVIuxDb7dhupTBSUMkH+CZGCoQeiVbY5U6JduByttowMjN+FISITe5WOjblnGCm\\n5tzWiRIEwZtiJCAJ0k0qMHNOmyg6pTTXOaBMRguOaYyhMJzCABCMQIzhVpq1O8kPIA706YsErutS\\nLpcpFot0Op0TKxJkZGQMzvhWTWPO5cuXeeqpp/jGN77B5OQkTzzxBABXr17l2Wef5fHHH+d73/se\\nL7/8Mu12m29961sA/OZv/ibnzp3b97HHaU5/VNru0yKJ12oQX4A02fnatXo2LT/5It61FL6J0WmB\\n0WXDODJt93PDCxxeXpnkXK1J2R2tJA+t4ySDVi+itaQ4Vekg9ZtvJCAJ0hYHTJzPJla/pcHPCHMr\\n3nu//9PA5Eq+Y2n8yOznes9gMsJhuHbqXbw1wTAp3/eJogjf96lUKkRRlIkEGWNN1jmwN5k4cEIp\\nlUp8+tOfvu3758+f5/z58wA8/PDDPPzww0d+7HEqqMdpRGI3jtLlkYYvQJrsPA9vtQppbIVulH7X\\ngC0ifMNtqVtHCnZDI7lWrzFV8JgttUZizMAPLYTQuFZfiApZaggsaTOZDxjjt3IqpO05kH7dbmYU\\nx9i5r7WxFXZbamMFuyUhNFisGzc/xLwYcRB2qQDsH014VIQQ+L6P7/s4jrMpEgxjceAoZMJxRkay\\nZOJAxq70i+qTrhqPk9CxG3sdn0lfgLTYKnwoDQspiAOVXEBgYKQg70T4vdFaeeqz6hXo+DZna80t\\nRblZQiWIlMTdJW5RbpjeLbZdym5EOTe6N6mjRrqdAyr1VX1LmFr9NvMZYduSIDBVsGtCQx/fttRG\\nxQGTKQzx9gRmU2YOppJLV8QPgoB6vY7jOJRKJbTWdDqdkRYJMjKOQtY5sDeZOJCxK+NSVI9750C/\\nG6BcLg/FFyBNtp6Dq50cQZR8cZ2zNYEB836Ts7+w/0jBbnQjh5dXJzhbbVHN9VLcs+1oDX5k48gI\\naxdhYCu2VHiBoB0kH3s4jsTjGSnGGIr0YzlNjeKYOpOEwbkik596Jo8LSD8h47YNjt69UNk1U6T3\\nPV5s294UCTzPG5kOQ8g6BzIykiYTBzJ2pV9Un3SVeFxEjr18AfofisPyBUiTra9dGkaE8UhB+qv5\\nEkUnMHupPWikYHck1xtVWvkup8stZMqrc35oIbeNEByMEGChWPNsLEmqowYn/doRapHqyogj07/W\\nmOv2P7mv856M4SH1MW1GaHp7B+FIRd5JXvDfr8gOw5BGo4Ft2xQKBYQQmxGxGRknkbG87idEJg5k\\n7Mq4r7iPKofxBWi32wQby92O41AsFul2u0Pe8+TpF2d+JFjp5BJ//LIbEqr0L4FFN6TRc1PfTlLU\\nu3m8wOZctUnOTv7GL1ACrSTOAZ0C+7F11KCSiygZWkU7SYQp+w1YcnxW60wlFZjEZEFr+kwwHWM4\\nakkF5RRGCoQQh1qBD8OQZrOJZVkUi0WEEJtjisMi6xzIyEiWTBzI2JVxijMcVZLwBRinZImd9I97\\nsVVIZQU05yhCA/czJrPG4egjBbvhRzY/W6sxX2lTy3UTMWxTGoKNEQIxgDCwFVsqOr6g5eeYLvjY\\n2ajBJoFKtyvG2hBoTjpaa0xpAyYLdpOCh8mxKSmGEGOYstB2VCop+K4cVhzoE0XRpkhQKBQ2IxCH\\nKRJkZByFzHNgbzJxIGNXxrnoNI1lWbeJAJCML8A4izj9zoG0Rgp8AyMFAn1CRgp2Q3KzWaHVc5mv\\nNI+9Utz3FbClSsXwMB41iFjxbBwJk4VgJJIXhk3aMYYSTdr9Gia0B0uCMlTcmhMKzSUVgNmVfFua\\nTQ7QWtMdsRjDYXYO7CSKIlqtFlJKisUixWIRz/Pw/dGKyM3IyDg8mTiQsSvZWMHR2csXYOtIQNK+\\nACd9LvogGl1Jy08+TaDkhgQmRgqcgKZ/ckYKdqPp5/BWbc7VGhSco92UhkqgtTSSgmAJvZFq4VLN\\nRRTf5KMGaYsDCJ26UZuJmVCTsXimimhbxJ4TJpBookTEyMNhGU4qkEKMnOdAGp0DUsqB2vOVUpsi\\nQaFQoFAoGBMJsrGCjIxkycSBjF0ZpxXpfgGd1AeIEOK2kYD9fAHSZJzFAa0111bSuUTlHUV7DLsf\\nkxgp2I1QW7y6XmO21GGq4B24Mq+0IIiseIRAmh3otqWi7Qtafpxq8GYdNUi9FTr1p1UTGXjpTF0/\\nBeba4S2D0YK21Bj1wR3Pj7tDk7OjVJJahBCJpBoppWi325siQb+ToNczl4KTkXEYsrGCvcnEgYxd\\nUUpttr+fdAZJXjjIF6Db7dJsNjPlOgUipbm2ms45mPY8NgD6JI8U7IZksV2mHTicqbSwdyn64xEC\\nK7URgsMiBAgUK56Na8FE/s03apB250DaV7w4xXB8XjQpwZS5gclz3WTnBZh3GB+1czCNrgE4/ljB\\nXvRFAiEEhUKBiYmJ1ESC7P4rIyNZMnEgY1fGaazgMKvrafoCZByPlbZLL0z+xqzkBvhR+pe+ghPQ\\nDsyOFKQdPwjQ9nP8bNXmbK1JyXmj/SLY8HBwEzIbTAJLaCIVjxrUchGFN8mogdKk3OqtUp+fl9KU\\nqZ6h9nuDNaZRIcxw7Wyim2Tb9tIezzkiafgNQPLiQB+tNZ1OB8/zNkWCbrc7lglLGSeLURP+RolM\\nHMjYlXESB7YeyzB8ATKOx81mPpXHLTiKloGRAsvw20frNLsGthNpi6vrE8wUO0wWOkTKGmqnwEHY\\nUtHyBU3fZbroG39tTJN214AtNWlXhbHhYfo3b+ZMAs3diJpMSDG7aGtuXKLPqMUYVlISOJMaK9iL\\nrSJBPp9PVCTIOgcyMpIlEwcyduWkew5s9QVwXZdcLgcwFF+AjKMTRIKVdjriQOpGbcTvH8+ww7UU\\n2vgq13KnSL3nMlv0Yn+B0bqP3kZ/1GC545CzoDbGowZp+w04BnwkTL02o2Y2lwQmxQGTz58lSMVT\\nZT96I5VUoFPrHJBSEobpPPZWtNZ4nretk6DX69HtdrMiP8MopkeUThKZOJCxKycpyvAgXwDf9wnD\\nkE6nM+xdzTgkC61CKi1fBSegZ2CkoJKHRneUbirTQQhNN3C4WndwrZC5coeK2xvpotsSml4EN5o5\\nJvIhpTEcNUjbU8MWozM6MihmRhfMFtHjGmPo2ILIpJ6vzcYmHkTRUal1PaXdObAbfZEgn89Tq9Uy\\nkSAjY0TIxIGMXRnFsYLj+gIUi8Vh7K4xkk5jGAVuNQupPG7RjWibMAnUPpBLfzv9zWk9FBV86xb9\\nyOZavYojI+YqbaojKBJEWhAoC0sqbEvT9C0avs1MwU/FAXxYpN0dIzdiI086Am1s7tSUCGFLcwW7\\n8RhDw7ckQgpGKR4hra4BSM9z4DD0xwtyuRy1Wg3f9/E871D7M073PRlmUSP03h41MnEgY1eGGZF3\\nGF+Abrd76BY4pdTmY4wj4yYOtH2blp+OkV9oIqUA8I2PFJhvt90rNjFQFq/Xq9gy4nS5TSXXM+5o\\nvpNQSUItsaXC2WKYGI8aaJY9F1tqpvM+I6aJbiMIodMTdLrxn15P0Olt+Xrj+9WK5t47A2zXTqX4\\nNSEOmFhptySEBhpH4veKmRNLCgWY2ZZlOMZQqQgweG0dsbbjypiKA316vR69Xu9YIkFGRkZyjG/F\\nlDEwaRedW30B+n/2Iwe3+gKEYTjQPgxT6DDBuB1fWl0DeSc0MlLgWiHd0PSlNX2DuJ1YUu872x4q\\ni9cbsUgwV+5Qy3WNdxL4kUSxIQrsMyffL3ZvtfOUnZBqPpmb8EiBUhvpAQqUEigVO64r9ca/t7u7\\nFPo96Oz4/qHN2G7B93+qKOV7vOuSYH7WRomTNeZiojPB1HXTEhAaKjRNCnGW4fezaX8I04LrQZye\\nLuAK8H0/8cceBXGgT18kcF2XarVKGIZ4npelRWUkSpZWsDeZOJCxJ/3RgiSc+w/yBeh2uzSbzVQ+\\nnE6Sf8JxGKfj0zr2G0iDshvRCtIvkFwrMioODGuk4LBiRKgsrjcq3JJF5kodavluqgWM0hsz90Jg\\nWwrrCOHyllR4kWR5pcBrN6HnK7xuniAShBFoBeWiouVBsyNvL/z1VkHg8AdZyismy4oggIW1I4gA\\nB9DuCv7tCkDI+bmQn7tPUK7aqAFXsbUBMWqcjAKlhCOchgNh9FkzHWNouDY06adwEEJoRNjEKRYo\\nFAp4npeoSDCK9xC+7+P7Pq7rUqlUdhUJRkXQyMgYJzJxIGNPjiMO7OcLEIbhnr4AaXLSkxcOYpyO\\nb9XL4UfpFPBamLncpe0Uv5NhjRQc9cY5UhY3mhUWWkVmyx4T+S5SJHdjpzT4ykYIjW1p4m6K41HK\\nR9x3Ea4tSb72PZsg3HKsKwCaU1WF6ygW1yTdYLDnv92VtLvxeWM7mvkZhSU0y+uCVjeZ1/bqAlxd\\n0FjC58F7BW+9YGE51rFWT9K+H487OdI/p02VFSbrLpOlkvEYQ8PFum/4Wr4fJTdWJ9vtNkIIisVi\\nKiLBKNIXCRzHoVKpEEURnU4n6yTIGIgsrWBvMnEgY0/2KzqllLd1AwghNkWAo/oCpMk4razvxjiN\\nFaQ2UmCHtP30uwYcGeFlIwX7EmmLm81yLBKUOkzku1jy+FVGpCFQNlLqbX4CgyIFXJgNOPvLgh++\\nYvO9F7cer2CpYQEWltScm4nQaG6tSaIBV/3DSHBztX+uak5Pawo5TbOtWa4PXqxEWvCdF+A7L0RU\\nSyG/8IBk7pSFOvQst0q95V8KM2MF5m4Ozb0/xzXG0Jaa0GBUq9Z6pGIMt/oNaK1vEwm63S69Xm+I\\ne5g+QRBQr9dxHIdyuYzWmmazOezdysgYOzJxIGNPlFL0ej2uXbvG4uIiURTxoQ996DZfgE6nM7Av\\nQJqM08r6boyLOBBEguVOPpXHLrkRbQM3ejkrpBeNf0pBEttUWnKrtSESlDtMHlEkCJUg1HHyQJKi\\nwE5sS/PQWwLeeofkP56zeX1x+7FHSnBzLf4odW3NqemIXgCL6yKB50mw3HjjMSaqmsmSwg9gYXXw\\ntudGW/DMNzUQcueZgAfvtSiV7X2LPkemL0YJYUbwMlVIm/xojMY0xtCSmtDgQrEUYqRGW8q7RK5u\\nFQkKhQITExN4nncskWBU7992IwgCgiDAtu3N7tSMjKOSeQ7sTSYOnHDa7TZf/OIXWV1dZWpqiiee\\neGLP6L5ut8sf//Efc+nSJT760Y9u+7cwDFlcXOTmzZub/zUaDYrFIvPz88zPz3Pu3DlWV1dP1IcI\\njE/xvBfjcnyLrUJqha6pyBqTsV4ARSek7TtGt4nWiZqraSQLrTKLrSKnyh5TeW9fkaCfPGAdYDKY\\nNKWc4pd/3mepYfO/vytpdm5/DvxQcH0l/litFBVTZUXTg5VGMudFyxO0vPhm2MlpzlQVQmiW1wTt\\n3mCvySs3BK/cUFiyx8+/TXD3BRshrdva1E1EPpq6mpkaxzEXmbV7gkgamI4xHF95/3Dsl1SgtabT\\n6eB53rFEglEyIzwK/U7VjIyMZMnEgRPOl770Je655x4uX77MM888wzPPPMNHPvKRXX/2X/7lX7j7\\n7ru3fe/b3/42X/7ylxFCMDs7y/z8PHfddRfve9/7uOOOOwBotVqbP38SP0DGnZMqDuwcS/n+Qjrx\\nhTnLTKu/JRSdwOwl1RbmZy6lZODW+d3QSBZbJZZaBU6VPCYLHvYWkeCwyQNpIgTM1kL+j0fhZzcc\\nnn1OoPZYPd3qIzBTU5TziuWGoOUl89wFoeDGlvGD+RlNwdXUW3ogMSJSgm89D996PmSyEvKeB21O\\nTVv4GwuXjgXKYHxdamhtbOXI1Aq7IzWBoW2ZjjE0vcg3SquKltAUnIOveccVCaSU2b1dxpuOzHNg\\nbzJx4ITz3HPP8eSTTwLwyCOP8LnPfW5XceDatWs0m03uu+8+rl27tvn9+++/n4ceemjP1qxxbscf\\nF5RS2PbovpUty9omBPT3tT+W4vs+i2td1tozqWy/lAvphOkID1vJ2yFNP/3t9NFaD8HfIP0WaY1k\\nsV1isR2LBOWcjyU5cvJAmkgBbzkbcH5O8N0XbX786v7XybWWZK0lAc38lMKxNQtrgt6ARoZvIFiq\\nx48lROxTUC0qOl1BEGqI/4fWbxjWad3/e/x7GrHxj3HcokYThPDlKyFaB9x1TvLAPQ7CwGtg4qZN\\nSjPu91prIkN1lyU1gaG3iCUBg+KA8RhDg/4GB1HOhUcytTyqSCCEOLHmfpmokZGRPKNbUWQcimaz\\nSa1WA6BWq21b5e+jlOLpp5/m4x//OC+++OK2f8vn957xVkpl81wngFHpHBBCbOsEsG1705+iPyO4\\nl0nljXoltf0ytQJk+hal4IR0TI8UGHUMlyy2iqx28pyttbHd0bt5dW3Nu94e8LY7Lb72fYvF1YOe\\nG8FiPb6mWlJz7pQCrbm5KvacFbctTcGFnKNxbLCtuLAVIi6iIwVRFI809AJBNxCstQVr7fj3T09G\\ntDtqQ5w4CmLb1y+8Bi+8FpB3NZcfsZmfCVOb2TfxXkozTnMrliSxaMqDGP6nQHqYTiow1YFxGMq5\\n46kwhxUJTupYQUZGRjpk4sAJ4Atf+AKNRuO27z/22GOH+v2vf/3rvP3tb2dycvJI2+1HGWaMNsMQ\\nB3aOBFiWhVLqWCaVWsNCK52UAtfQSIFA0QnMFupDGSkQmsjg9G/sUG7x2lqVmVKHmZJnNBbusFQL\\nER96V8TN1diPwPNv30kpNTkbXEfj2hrHFkgBUgouzsfnkFbgBYIgFPgBdANBGEk6PnSOmVZ2a83C\\nkhZvvUNw9VZILxjsWLu+4J++rrGE5NF3Cu46GyVezJtY0Td1zZQGV9jHOcbQxDmxlVFNKjgOW0WC\\nfD7PxMQE3W6XbrcLnGxx4KTud8bwGaXRoVEjEwdOAJ/61Kf2/LdKpUK9XqdWq1Gv1ymXy7f9zKuv\\nvsrLL7/M1772NXzfJwxDcrkcH/7wh/fd7ji5/PeFjpPaOrcfaYoDUkocx9l1JCAMQ3zfp91uD/S8\\nrno5/CidG7GyoZGCghPSMjhSANAdwkjBMN27l9tFWj2XcxPNVNMJjosQcGY65KO/JLi2ZPHCKxBG\\nEj+EXigIQkkvgt4+haItNfNTEetNQS9M7rmOFLxyS1PISeamIq4uwKDrzJEW/Nu34d++bfGu++H+\\nOyNEIh8XhrwADNUUJt8xJm92xznGUKDxDXV7HIbygOJAH601nufR7Xa3iQRx6k1WZGdkZMRk4sAJ\\n54EHHuDKlStcvnyZK1eucOnSpdt+5hOf+MTm19/85je5du3agcIAxAX1KLSrJ8GotN6nQRLHdtBI\\nQBiGe44EDEIYwUIzhxQ6pZvN8WznLdiB8ZQCgfmc8Z3O693Q5qXlGmdrbSo5fyS7CCypuTgXMjsp\\n+M8XBK/ePLzwFSrBtWWbnKM5Px3x+pLc0/DwOHg9gdezmZtWaKVYXEvmsb/5PHzzeYv774Sfvy/C\\ncY4fRWgJjMzomyuFzJ2kZmMMTXcQGdvcxqLIaFxcHEuRt5M9W3eKBIVCgSAYsKUoI+OEkRkS7k0m\\nDpxwLl++zFNPPcU3vvENJicneeKJJwC4evUqzz77LI8//vixH3ucxgrGSejYyVHFgX4HQL8jYOdI\\ngOd5BEGQ2krCWtvixlqO6+suC3V3QxSI3dwrBU0xp3BsgZACLSx6oTyWcODIiI6J1XWth5BSYH6V\\nx/TbZ+/VQsn1eoVavsdcpb1v7OGw8CNJzta8/x0Bl+7WfP0HFquNwz+BvUDw+rJNpQSTZXjtlk60\\njTtOMxBcOK1YXte0u8m8uM+/As+/YnFhDt77johi4egigRRm4vhMrXyn5ctwO+YKaGkwMhHMX3tG\\nqcGw7KYX1dcXCYQQSClvGzfIyMh4cyL0ESqAGzdupLkvGSOGEIK5uTlu3bo17F0ZmGq1SrfbxfeP\\nObg7wgghmJqaYmVlZdv3DxoJ6JsEpj1q4YeCG+suN9ZcbqznaPeONkIg0FQKinJBUcjFs9pCCCIt\\n8SNrz1baqWLPyEhB0fZpBWZHCmwRpTaKsRdam20ltoQ6cHXSlhF3TDbJ26ORrRcq0FreNvagNVxf\\ncfj6c5LeLn4EBzFZVriW5uZq8mKtY2vmJiKuLSS/8jxd0/zizykmq4cfFXAthR+ZEKWlkQJXCGHk\\neGx58PslKRypjF5/CrbCC80tVCgtWenkjG1vP85PeJyfTLdYL5VK9Ho9wjCkUCiQy+VOhEigtc46\\nHlLkzJkzw96FVPnGC3Uj23n3fTUj20mSrHMgY0/GqRV/nDsHIBYCisXiZkeAiZGAvdAaVlo219dy\\n3Fh3WWo6A7VvaQQNz6Lh3X4zKoSiWoioFDR5F2w7vhkPtTTWFSoNr1znrcC4+aEQikiZKwa01oSH\\nOGdCZfHKSpWposdsuTu0MQOtwY8sXCtCyNvFNiHg3EzA/3hU8JNrDt9+QXCUE7SfNHB6KiIMNcuN\\n5F6LIIy7FGoVRcGJuL6cXBG2Uhf8ry9blPKaD7xTcXrGkJ/AAWitjYVimnLZtwSYucKbjzE0FQXZ\\nx3Qywn4MakZ4GLYaEnqety3doNfr4Xle6vuQkZExOmTiQMa+9AWCk25WMy7miltHAvpfbx3/6Ha7\\nNJtN469XNxCxGLDRHdANzDzXWgvqHZt6J/67QHOqGqA01C3J/JRPVzmkpRRorfEMjxQ4lgLDiyXC\\ncEFnW4rw0CuTktVOiW7oxJGHuxTnaeJHEktocofoXrCl5v4LPnefkXz7JzYvXz/a+ySOQYwjEBtt\\naHSSe581OpIGknOzEa2OYv3I0Yd70+4K/ulZC8fSvP8hxZ1n9xYJTFy5LGGoC0an5aVyO2OsfRsv\\n1s10rhyO48YYHoXd7vH6IkHfuHAURYKTfl+aMVwyz4G9ycSBjH3pF55RNBptu8flpHVB9EcCtgoB\\nsD0loNPpbL4uMzMzdDodY/unNCw1HK5viAErLZthGjg5tmKmHNLu2axtaQdda8FUOeD0lE5FJCg4\\nofFV/G5gepzgcKv4yW706Nvr+C4vLdmcm2xRdtNXTyIFkZa4x0hOyDuK9z3gc/+dFl9/zmKlfpRi\\nRHBj1UIKzfk5xdKa2DU68bjcWrOQUnLnfMT1ZfCD5B47iARf+raF+Lbm3Q8o3nZRI+SOxzfS6o8R\\nFcKSmsDQR6fRVASDNZnAnMAC8fVuVGIMc3aEY6X/ZEsp9yy0++MFW0WCfsJBRkbGeJKJAxn70l9x\\nP+nigFJqs8AeJYQQ2wSA3UYCWq2WsZGAvYgUtHuSW/Uc19dcbq67BCOwulLJh5TzirWOw3Jr9xnR\\n1ZbDagtmKgGzU5pulJw/gOlV6mGMFJTckGbPoKfCAGKERnJtrcpksctsuc3OujMJtAZfWTgywh3w\\n9Z8oRfzKuyKurzp8/QdH8yNQWvD6soVray7MxeMAYULxa2ojNaGYi6MVX0sg+nArGsF//NDiP34I\\n77g74ufu1cSXZ2HEwM+UTmxSjzZZqpks1h3LbKygFGKoka1bqRjoGuhzULG/VSSo1WojIRJkAkXG\\nIIzCiNuoMnrVUsZIMS6z+qPQObDXSEDfHND0SEAvFHR9STeQeIGk62/8ufPrQOKHEtDUChEFN6Lg\\nRPihGNJzqpmphEgBax2Hbutw+7DcdFhuwqlqwKlJ6EaDF9mmV5iGM1Jg9gbMtvTAwtNaJ0+7Z3PH\\nZAvXSu4GO4gkQmhyCT6mEHBuOvYjePGaw38e0Y/AD/uFvGKqvBF/mFBx0+kJOhvRhypSLK0n/37/\\nwcsWP3gZ7j4T8Z5LmrwBHzhT1y2T18fIoE5pss0/DYHvpFA24DcARztPR1EkyMjISJZMHMjYl3GJ\\nMzR5HHuNBPS7AXaOBCRJEAmanqTjW5uFvee/UeRv/fvRCwhB3bOpe/Hx5J2IWiEiUoK1jp36aost\\nFTOVkG5oUfeOv5K91HBYasBsLWBm4vgiQc4K8MLxHikQaNq+2WNM6h7Tj2xeXq4yX+1Qy/cGWsVV\\nOs51d6RKbTXYlpq3X/C564zkOy/avPT60a5XnZ6k05PUyoqCG3FjJblzJZnoQ005D8W8xrXBsuJ4\\nxiAS+IHk2qLFy/8fvOVsxPt/bpdxgwQxVceYrJdMFexxjKG5ewJhOLZ1lFYTTXYOHJWdIoHv+3ie\\nl4kEGSeGzHNgbzJxIGNfxkUcSKNzYL+RgH43QBojAWEEza5Ns2vR8GwaXYvuC5LV5im8jeKxkg8p\\nOBHrbWvze0nTDazNYtWSmumSj5SaRteml+A2y3lNJR9Q9xxW2sktKy7WHRbrcHoiYKp2dJHAtRSe\\nwWmPnBXgGR4pKLsh692TMVKwO5KbjTLNnsOZahvriMkSWkOgJLZUx/IWOA55R/He+33eftHi2R9a\\nLK8f7fpb70jqHcnspAKtWFxP6r0ouL4SjzHcOR9xdUf0oRSaSlFTcMF14o4IpcAPwesJWl1odQWt\\nA4SFl65bvHQdHn0o4q3n00k3UIYKQFPt6VKYm8u3pMbklKHpWjMyFAd5MJqyO9xxwsPQFwlyuZxx\\nkSATIjIy0iETBzL2ZVxc/gcVOSzLwnGcTSHAsuIb7q1RgUmOBEQKWl2LRtem6W38uSEGdPx4dZNC\\nhgAAIABJREFUFW8/YvHApt+Cb0vFSstOzScgUoLlVr+I1NQKIQU3wvMlje7xCtqpUoDrCFbb9p5+\\nAklwa93h1vrRRQLTjtauVJj2ijaRA7+VJEYKdqPVy/HycmxWWHQOd8MdKIFWAtc26yvRZ6IU8aFf\\niLix6vC1I/oRACw3JCA5MxPhdftxiBpLgi1BWnG3ghQgZVz09b8WIm7n7uupQsRXnDeuboKL82AJ\\nxWoDPF/Q7kK9Lam3kzn+r3zP4sqPFb/yXkWtEm8zKZShl9TU+8eW5ubyTccYmp7/90dEHCg6Kn6u\\nDZDEfUuv16PX6w1FJMjIOA6j1CU0amTiQMa+vJk8B/xQ0PJd2r5L23dodm3qHYlra4quptPTREoj\\nhcISIbalsaTGlhJbuliWgy01tux/X2NZevN7O/+ugXbPouG9IQI0uzYNz6LdsxK6cAnWOnGxK4Vm\\nthqg0ay2nG2rfsmyffyg4ERUChHqEOMHUmhOVQJCJWl0XeiltIu70BcJ5id9JqqC3j4igSMj8yMF\\nh472SwZbKFo9sx8Rad5HRtritdUap8odpovenuMB8QhBbDgo7OHe2AoBZ6cDPvqo4KUbDt/5yf5+\\nBLsd02rLQgDn5yJaHVhtyng+PWTfxzocFtMVRc2JaHeTr2Q6Pcnf/7vkwpziAz+vsOzBr1laazRm\\nqq70rrHbGee5fOMxhuFoiAMVQ34DUkpUgmqZSZEgEx4yMtIhEwcy9kUpheOYLYLSoC8OxK77Ns2e\\nTdt3afXsTRGgu2dkV//78Yq4LWGt6wycb+9YinIuxJIaPxQ0OhZhiqsWSgtW2vHqvmMrThV8gkiw\\n2rJTVVC94I3Rhq3jB82uvTmWkLMjpssRja7NaseAI9k+3FxzubkGZ6d8qpXdRYKcHdIzWKznpHl/\\ng6Ib0fMMChKGIhOXWkVaPZeztWZs8LgFP7I2RghGa9bXkpp7z/lcnJN89yXnyH4EADdW406iO2YV\\nHU+z0kzmWhM/jmR+JkIrza3V5F/D1xYkT/2L5L0PRLz9rsFGDaTAyHkmSGckYvdtmcNkPSZNxxhi\\nNhlhP0yaEaZRZGedBBmjjolknJOK0Ed4p964cSPNfckYQQqFAvl8nrW1tWHvypHwfBmvwndt2r5D\\nq+fQ6tk0vORMSCr5gJytaHUt2v7gOptAU86H5GyFUtD00vML2EreiajmQzq+pN5JXy+UQlPMReRt\\nTd5VSKFZauaMmlwdhXPTPpWypBe98dwU7IC2wfn/iutTNzn7D+Tt0KwZoVbGVnQBBIqzE20qOZ9Q\\nCbQWt4kFo0q9Y/Mfzx/dj2Arpycier5mqZ7scz43EeEHOpVkA4C8q/nv746YnoDjlMWW1PhR+tc5\\nS2i6BrYDkLcVXUMr3o7UxkaqCi54vpFNAXHnzWKrYG6D+/DQmQZlA4aEtm2Ty+VotxOaB9qDXC5H\\noVBIVCTwfYMnx5uQM2fODHsXUuWrz6d7zvd5//0lI9tJkqxzIGNfTspYgdKw2MxzdbXI9TWXwID6\\n3+w6NDe+rhVC8k5Epydp9o5XUGnEtscEKBciSm4EaLq+pNG1EndY3WosWCuGFN2IhidpD9BSbklN\\n0Y3IOQp7Q98II0k37MckOngB9IfoY1EkZL1jtgA+DK+vuLACd8z4lEuSUEnaA3aNHJWe4VZX14oS\\nEbyOghBmVyU1ktfXK1TyPebKnRMjDED8Pv1vD4fcWLV59jmb3p5dT3tza8Oo8OypiCDQLA4gNGxl\\nYeNx75iLaHuK1Uay527XFzz9VZuzpzS//HCE4xzt2E214Nu2NDabb3IFzGibv1ZgUDBkRNzLhYg/\\nP81sK53OgZ1s7SSoVquEYUin08k6CTIyRpCscyBjXxzHoVarsby8POxd2cbOqEDLslBKEQQBnW7A\\nUh2WGpK1ts1aJ/YPMNXiWXTjArsbyI25++S2a0lFJR9hS0UQChqelZrJ4EQhwLEUa2171+LUthQl\\nV5HbME7SxDnw/cjE4xz3dNmnF8iBRzbSwrEU56Z9rJyb6gjIVnJWaPz5qOZ81jyT4x16Qxgwf3Mu\\nROwlMlPqMV3ysI+YaDAMtI5HICyhURpefN3hez/d34/gIE7VInSkubWW3HkthObMlKLeVKy303m/\\n/MLbNe94S3To67sjzfh3uLag7RuKzzWUVmA6xrDgREa65/ooLVkZ8lgbQCUf8eB8w8i2XNfFsiw8\\nz6zdreu6FAqFgUSCrHMgXca9c+Arz3eMbOfR+4tGtpMkmTiQsS+WZTE9Pc3i4uLQtr9VCOinBPSj\\nAvtpAQcZ6gSRAHeGV260WWs7xgSDvBNRzoX4oWC946SwPU05F1HKQaQ0jU4cvSbYcB4HhNSbbuNS\\nAGKjeVu84UIuxBt7ttWhvP+nJeJRhzCSBJHAC6zUVrMtoZmp+Ky2HdSIjBrYUjFZClhtOwSRpOBE\\n3HUmwovS73QYxkiBa0VGBQlbqtRErv2QbPc5EChmy10mi90jxx6aIn6eBLbcfs3r+JJv/sjhxvJg\\n15iZaoTQmpuryb0eUmjOTEcsr0PLS/6a61iaD71HMzulDrzG2hIjfiG21Hhh+u8hk94GjlT4Br1W\\nTI5LQCy4mb7W7saFacX95zSdTifxKOSd5PN5tNb0egbdf7ewVSTwPO/Q5ohaa4IgSHnv3txk4kAy\\nnERxYDSX5zJGBlNRhkKIbVGBfRPEKIo2hQDP84iOGbDsWJqpWkROd1EqviAEkWC9E3cWrHUc1trJ\\nCwZbW/bzbkQlFxKqWCiAuP3ekSqOEZMgpcYSG8V6v3DnjQgxjUDr2FxQ6dgNO1KCRlcSRqCFYKbi\\n0+5JOv228AS7EyeLPlEoUm1zj7RgoZGj4ESU8z6r7eHdrFlCMVUOWGs7LDTeWFHyAovnX7O4a66H\\ndNMVMUxHJhbskJZJrwHMZ5n3EVLDlhEkjWShVWSxled01WOi0B0ZJ/hQCZSSG+MPtz9hRVfxiw/2\\nWKrbfO05C693vB1fbsTXq7mpCFsorq8MXgwqLXh92caSmovzEYur0Dnm/u1GEAn+4WuCuSnBB39B\\n4e5zyTBVSJsy0rOkNtbqLw3HGEaGrwsmhY/9yAmPdjuiWCwihEhVJBBCJJpWcFR838f3fVzXpVKp\\nHFkkyMg4LkmP6I4TWedAxoHMz89z8+bNxB6vX/zvNhLQFwLCMEx8Fm1ycpJGo7GvwBBGcdzeWsdh\\ntR0nEmi9scIuNIKNin3z5jy+uOjN/xNo4mJHa4Fi48+Ngl7ruPi1pabkhqy27FTa06XQTBZ9VlpO\\n4o8v0EyXfVZbtpHYp1NVjR+EtI7p5XAcpIiPcb3jHCiEVAsRd8yls0o4jJGCSi5g3TMnyAj0xsy0\\n2Q/qOMFk/yLOEhGnqx7VfG9oIkGkBKGSOFLtGb+42+/89LrDtw+IPjwMU+UIx1JcXz7eqNBuOJbm\\n9GTEjWWO5ZdwEO+8B955X7irECCEMDISpLUgNND5lLMiY8kpeVsZbPPXG8K4mTee1ppVr2A0HWEv\\n3nm2TtGNi2PLsigW45XHTqdz7AWSvSgWi5tdmKPAYTsJss6B9Bn3zoEv/9DMKM0vPjAaJqdHIRMH\\nMg7k9OnTLCwsHLlYtyxrmxCwcySg/6cphbhWq9HpdI70gdILJD9ZLPPKSimVmwbHUlRycQt9mMIK\\ncd6OKLgRS83kiz3HUtQKAYt1J/UbKoHmVNWn4Tmptp8LNDNln/qWmMXD/t5bzwZEItnRkarrs26w\\nzVVrjWMJeqG5G2RbKAJD/g1bsY6wXceKmC11qBX8QxfogxL7CtjYMjq2MOH5km+94PD64uA7PVFS\\n5B3F9WWR2IpLztHM1iJeX4Ig4XPOEpoPvRdOT2/3I9BYqRv4aa0JtYUJwStvR3RDMwV7zlLGtmUJ\\nTWS4UF9qD/8m3pKKd5+v33adSUskKJVK9Hq91McXjspBIoFSauT2edwYd3Hg358zIw584NLwrytH\\nJRMHMg5kbm6O5eXlPT+M+iMBW4UAIQRhGG7zBkha8T4q1WqVbrd7LBObjm/xwkKZq6vFVFYybKmo\\n5QNW23YqxW+tEBCE0Ogmv/pedENyVjoCxE5cSzFZClluOiRZpQk005WAZtfC849/8ztdCZmbIrEI\\ns7wd0Rlgf45K2Y2od812KuSskK6B2eydWMfwOXCtkPlqh5IbpCYSbDUbTML3QGtYbtp8/QcW7e7g\\nO10rKopuLBIkJQoWXM10JRYJwoSTZqar8Nh/AceOP38inf77SQgzcYkAeSsyYrAIZmMMTXZEwOjE\\nGNbyAZfmW3v+u23bFItFtNaJiATlcnmgkc20cRyHYrFIFEV0Op1NkSATB9InEweSIRMHMsaSU6dO\\nsba2RrfbZXl5GcuyuOuuuza7AUyMBCRBuVwmDEO63e6xH6PZs/jxzSrX63nSWBWypGIiH7DWsfAT\\nX6HRTJd81tp2KrOVE8UAP4CGl/5NcTUfYluaujeg2KE1M9WAVtdKrAiXQnPvuYCedhjkHMlZZp26\\nASpuYLRTwbWijbEN8yMF8RXqeNstOCGnK20KTpioSOCHFkJwm9lgEkQKXr7pcOXHyTzflYKiko9F\\ngiihmfdSXjFZUlxdBJXwHP2lu+Fd9ysjrf6W1MYEL9eKjM3KC8x5KZhOKgDBUjtvcHu7c67mcXHq\\n4HuUpESCarVKs9kcyXu2rewUCUZhwWncGXdx4EvPHb8WOAq/fGn415WjkokDY0K73eaLX/wiq6ur\\nTE1N8cQTT2y2oG1lbW2N//k//ydra2sIIfjkJz/J9PT0tp/RWrO2tsaNGze4efMmKysr3Lp1Cykl\\n8/PzXLp0iQcffNDoSEASlEollFKJRPasezY/ullloZnOm94SiolCwHrHopewSOBYimo+YLHpJm7I\\n0vcjWGslv9+7MVPx8XzrSCMAwKYo0O5ZtHvp7OfpyZCJqjj2jbvpkYL+dK+piEaAWt436m/Q5zhd\\nA7tRcn3mKh4FZ7AVrCASaN03G0yXbiC58hOHq7eO994XaPKuJudoHCte9dda4YfEnix6Iy5+485i\\n2w2GBoTebkCp35gr1xoQkLPjeMleT2NJkFIgpUQIgdycsYh/RiuIVJymEmniP9WGWWsEoYIwjP9E\\nC/7rL0jOz6tURwtMJRVA/FlhIl5w3GMMQ2WxNoRr0U7um20xUzr86OOgIkGtVqNerx91N4dGXyTw\\nPI9Wa+8Oi4zBycSBZMjEgYyh8Q//8A8Ui0UuX77MM888Q6fT4SMf+chtP/dnf/ZnfPCDH+Tee++l\\n1+shhMB1XX784x/z3HPPcfPmTXzfZ3Jykvn5eebn53nb295GtVo98eYvhUJh0/k3KVbaLs/frLDS\\nTicbWQrNRMGn6cnEjelKuRBLqFTSAGypmCwGLDacxFYV99vWdDlgpeUeOPKhteZUJcALJE0D7fOO\\nrbjnbHisyEPTZoRlNzAe41V0Qtq++ZECKVSiIkgl32Ou7JGzj3ZjHipBpCwcGRnzMoC4CF9t2Xz9\\nBxI/FORsjeto7H5qSlzjo9VGcR0J/BC6vsDfwxtgqqJAKxbXk3teT08JgkCzsJqsaFLKw2Pvk1RK\\napfch8ExJw5sN8ZNE9MxhjlbpZqKsxMvdGj1hh/g9cgd6+Tso5+VxxUJJiYmWF9fP/L2hs1hIqwz\\nBmPcxYFnfmAmvvPyO9KpD9Jk+FfCjER47rnnePLJJwF45JFH+NznPnebOHDr1i2UUtx7770A5HJv\\nnLDlcplHHnmE+fl58vntKtfExAS+7594cUBrvWmKmBTTJZ/3v2WFhUaOH92qJL4KqrRgtZNDCM1s\\n1afV3RJROCDtjRuh2crG4yZYiIZKstTKUcxF5O0gVT+CUEkWGjlKuYiiq1ht7z5qMF0O6AWCRQPe\\nCH2CUPL8ay53nAooFKxDF6SuFRlPKTDdVepa0VCEAUHy0W/Nbo5mN8dEocepcgf3gA4ApSGILGyp\\ncC3zrbFCxP4Yv/qeeNTgW88LFIMVYqvNeFzhwlzE4prA8wd/jm+taoTQXJzX3FqGbkLJBu0u/J9f\\nUsxPw397t0Qm3LFhymHfFtrImAQMIcbQcN1nUojYC8dSxxIGIC6WG40Gtm1TKpUS8yTIyMh485GJ\\nA2NCs9mkVqsBcZvYbu1Wi4uLFAoF/vqv/5qVlRXuuecePvzhDyOl5I477tjzsZVSCJPLWimR5nHM\\nVXvMVXtcX8/z41sVmgnH7um+SLDh2t/pCdoJbWO14yKF5nS1x1LLIUpwRdULLLzAYroSEIZQT9GP\\noD8iMF0OCCKxKX5MleK/LzXNRSHu5NqSQ8FR3HUmwIsO3o9yXtA1qMVJoWj6Zp+fghMZGT3ZiZSa\\nKCVTtXUvx7rnMFX0OVX2bvMO6JsN2lIfKCCYQEp469mA87OS/3zR5mfXB70+Cq6v2OQczYXZiKtL\\ngycbaC14fdki72ouTiteW0gun/rmCjz1z4p3vAXedb8gSkghMzWXb0lNaKj2M+wKkriAt//WdKop\\nOIelkhvcYG+nSNAfpRw3kWDUPRIyRp/sFNqbTBw4QXzhC1+g0Wjc9v3HHnvsUL+vlOJnP/sZv/d7\\nv8fk5CRf/OIX+da3vsW73/3uA39PyuF/cA6K1jr14zg70eVMrcvVtQIvLFQSW+XvoxGsdXJAvz1e\\n0EqgPV5pwXI7R8GNKNg+S61kV9dj40DNXM2n0bFSmyUVaDxfkncU87UuXmCx3BqeKLAVL5A8/5rk\\nLWdChG3tO27R6SoYcCX3KJTckHXPbOubP6SVurTHXECy2smz2nE5Ve4xXfSwpN4wGxwNUWAnOUfx\\nvvt93nbB4mvft6i3B3uOeoHg+qrN/LRAKcWt1cHvwrq+4PUVi7kphYqSHV/4wUvw3EuKX35EcudZ\\nPfCqtanC1vQoiilsqY16n9hiNO5vym5yBXxfJHAcZ1Mk2Or23ycrsjMyRptWq8VnP/tZlpaWOHXq\\nFL/zO79DuVze9jOvvvoqf/mXf4nneUgp+Y3f+A3e+973AvD5z3+eH/3oR5s+dJ/+9Ke5ePHivtvM\\nxIETxKc+9ak9/61SqVCv1zfNZXaeOBCPB5w9e5aZmRkALl26xGuvvXbgdpVSOM5oFFiDYKoDQgi4\\nMOVxx4THq6tFfrJQSSEbWmyYJ2lmKhspAQnEFHaD2Nxvuhw/ZrIdEIKVdg5LauYnfJYazpFvol1b\\nU8yxMaOtECJ2NQ8iQTeQ9AJBx4+TB1bbDuVcRK0QptqxcFReumFTLSrumI12nUt2rCjREY/DYPJG\\nHCBnh8aPEZL3Gjhgayy1Ciy3ckyXesyUPOSIN2BNlSN+9b0Rr9xy+MbzYuDEgMX1uPC4MKdYWBWJ\\njAUsN+LxhYvzioVV8HrJPKkawTNXNPnvaz78XyTVij5eQay1sc4Bk5g8Jkvq2EDSFCOy+JFE58BO\\n+lHSjuNQLpe3iQRCiBMrDpzU/c4YHUyNfw3K008/zaVLl/j1X/91nn76aZ5++mk+/vGPb/sZ13V5\\n8sknmZ+fZ3V1lc985jM8+OCDlEolAD7xiU8cuBC8ldG4ImYMzAMPPMCVK1cAuHLlCpcuXbrtZ86f\\nP7/N4fWnP/0pc3NzBz621nosxgpMdA5sRUq4a6bDB9+2wP3zjdScyFs9Gy0k52cUU6Ue1XxA0Q3J\\nWRHymJFodc+hG9rMVXuJ73ekBEutHIWcZq4awGaonKboRkyWAmYrPnNVn9mqz3Q5oJKPsKXGDwXr\\nbcFS02ax4bJQd1lqOqx3bLqBvO1i3+pZ1D2L2aoPqViPHY9GR/L8qxa28hE79itveAbdkZFxI668\\nPZzV82FcxoQQrHbyvLxco951R76VUQq4ez7go78Y8tY7knid4lED25FcmFUk8z6MRw0sS3LxdOxL\\nkBRdX/B//Zvmn/+3Rh2j1dyS5l5gk+eSyTZ/0yJaEI7Gm7KcS+/aHwQBjUaDXq9HpVKhXC5jWVZW\\nZGdkjDhXrlzh0UcfBeDRRx/drPW2cubMGebn5wGYmpqiVqvt2ml+WEZnOS1jIC5fvsxTTz3FN77x\\nDSYnJ3niiScAuHr1Ks8++yyPP/44Ukp+7dd+jc9//vMAnDt3jve85z0HPvY4jRUMQ+SwJNwz2+LO\\n6TY/XSrz8lJp2+qlJRS2pbClxpIaKTRSxIVMPxFM63jOVmlBpOKV3lCJjf8koZJ46wAWk8UeYU8Q\\naGtj+/Hjbj6+1FhCI0QcT8WW7UBslqaVQAF+JKnkQ1wrNvqTMv4dKd/YRyni51UQP2Z/v3fjjWOJ\\nVVulBXO1ELRmseFsrvonidaChbpLrRgSqTeMGIeP4MUbLtOVkLkp6EbxfpmefS04kbFM9j7DMP/S\\nWhNGw3j/ayIlibTFzUaZFStkruJRdIKhiBWHJWcr3v02xb3nLb78XYtWZ7Cd7frxqMHcVEQUKZbr\\ng58D3SAeNTg1qRAoFlaTO69urQqe+mfF/XfBey8d3o/A5GsaGVrNF2iUwRhD0zquSeFjL/J2hGOl\\nf+BBEFCv1zfHDeJ4UJk5/2e86UgzznYnn/nMZza/vnz5MpcvXz7079brdSYnJwGYnJw8sOh/6aWX\\nCMNw2+Lv3/3d3/H3f//3PPDAA3zsYx87sBs8izLMOBDHcajVaiwvLw97VwZmZmZm6MfRDQTP36xy\\ns1EgjEQqrU1SaCaLPqttOzGDwZIbRx8uJ+xH0Ge65NPuJeOhsBeW1MyUAxYazkh1w0ihufdcgJIW\\nPYPZ3gA5w2MMhTfFSMEb2HL3NvOiEzBb6ZA/YvyhSVq+Sy9y6Prwb99MruVZoDk7HXFzVdBLKIEA\\n4Ox0xPI6tLtJv7c1H3in4C3nBdEBd5S2VHihiTE8vSHqmogxjPAjc+9Z0zGGLd9NzQfnsMyUfO6b\\nbRvdpm3bFAoFpJREUbSrJ8Go4vv+sHdh7Bn3KMP/93tmzqH//tDB98x/9Ed/tGuk6OOPP87nP/95\\nnnrqqc3v/dZv/RZ/8zd/s+vjrK2t8Qd/8Ad8+tOf5p577tn83sTEBGEY8hd/8RecPn2aj370o/vu\\nz6gsoWWMMKbb8cedvKP5+fN1XlkJeO5GNRWDNKXj+X7Xipgs9lhpuQPfRPZj52arAd0AGl6yN8Ar\\nbRchNPOTAatNK5Wbw0gJFhou06WATiDpDvmGsI/SgqsLkplKSKGkja3k56yQTmDWT8S1FZ2TnYp6\\naKTYe/68Ezi8ulqjmo9NC3NDGrXYiVLQCWNRQAiBEFDIwTvutfnBT5IRCDSC11ds8q5mbjLi6qIg\\nCT/86ysWrq25OB9x9ZZIcE5e8O/fgWefUzz2PsFkbb+WfjOiY3xuGYoxNKyjGk0q0HokYgzT8Bs4\\niL4o0Gw2cRyHSqVCGIZ4njfSIkE2CpExbvz+7//+nv9Wq9VYW1tjcnKStbU1qtXqrj/X6XT4kz/5\\nEx5//PFNYQDY7DpwHIcPfOAD/OM//uOB+zP8K2LGyDMuUYajxp3THT5wzxIThfTUSz+yWO3kKecV\\nkwltZ33Dj2B+wqfgJLvqqbVgqekiLcH8ZJDa/O5K20FpyemJ4d8AldyQ2YpPx7d4bSXHT65ZOPhI\\nkf6+HTdTexCGI8iYjUbrc5jzt9HN8cpqlVuNgoEkhb1RCpo9l7VeCV+5t13zz80K7kx4IanrC26s\\n2pyegplqMue7HwpeX7aZnhCcnkr2/O4Fgv/7y/APX9EEe3Q8mDLusw16G5hl8LSIoyBEkiLS8SkP\\nQRwQQmyKAP1xA9/3qVQqlEqlbFEoY6zRWhj5b1AefvhhvvKVrwDwla98hUceeeS2nwnDkD/90z/l\\n/e9//23j4mtraxvHq7ly5cq+0fV9srGCjEMxPz/PzZs3h70bAzMKYwU7URp+fKvCi4tl0l51mij4\\n9AKx2QUwKPH4QsBy005lVr7gRBTdiIW6TVrPzalKQN2zjM/6F92Ici5iqens2tVRzkecn1V0UmxR\\ntqWil3iSxt4U7MB4pwLEx+kbzzHXWJIj3RwIFLOVLrV819hqrVLQDlx8dfCoTS+AF1/yWWtpml6y\\nz6cQmrNTETdXBL0w2VGDlTq0vOSf0LddVLzvHZLttawgMDC+krciupGZ927OUikk7uyOLc2O/wgB\\ni62Cse3tjuY9F9axDF+i8vl83DnR6932b67rUigURrKTQClFGJoXU95sjPtYwf/zXTMtjB/6ucHu\\neZrNJp/97GdZXl5mZmaG3/3d36VcLvPyyy/zr//6r/z2b/82X/3qV/nzP/9zzp07t/l7/cjCP/zD\\nP9z0Kbhw4QKf/OQnyefz+24zEwcyDsXp06dZWFg48e1c09PTrK6ujuRxLLdc/vPqBF7K89gCzVTJ\\np96xEyuYXFtRcUNuNZxElNKdVPMhAsVKK53CsuBEFHOx6WLabIoCrcM9V+emA4pFiZ9wIVDOK+od\\ns6v4tbzPupeOZ8V+CLQx87Y+tlTHbvu2RcRs1aPi+qkZ3MWiQA5f2UfqDFtYFfzwxZDTkyE3VgR+\\ngoU8QMHVTJaTGzUAcCzN6cmIqwsile6M9z+ouPdOSaQg0tLISnTejgwW7NqYeGryuGIES+39b5TT\\npuiGvPNs0/h2C4UCURTtO78/iiJBJg6YYdzFgX/5jhlx4FfeefKi4LOeoYxDMU5xhqN6HDNln1+6\\nd4lzE51Ut6OJ/QgQgtmKj0wgBswPJSsdl1pRcaqS/AW30bWpd11OTyomSsnfnHiBxUrLTuz52I2C\\nGzFb9ekGksWme2gR5fUVh5evS3Li9tjDQRDKvBHeMEy/CnZgXBiAwVzrQ21xo17m1dUqHT/ZGwul\\noNHLsdYrE+ijG3POTmqmJiTXVxxyrsX5WZXoe8bbGDWYn4apSjLv9SASXFu2mawKzkwn+B5Ck3c1\\n3/up4J++qqjXFaY8B0zq2ybHXUx/PA/DpHQnFXc4pqRCiAMXSnzfp16vEwTB5rjBsO+hRnFxJyNj\\nnMg6BzIOxalTp1hbWzvxau3ExATNZpMoGl2HcICrawW+/3rNyI1LwYnI2xErCa6a1wrB5DeDAAAg\\nAElEQVQBQShY7yTfBSGIEwfWWjKVFaZyLsKyNA0vmX0vuBGVfMRy0xl4RXGiGHJmRg8+aqDjKEoT\\n7c99ik5AO+FC9zDU8j5rxrsV9MZYQDI30UU3YK7cITdAsoFS0ApyBMoZuAALQvjqf6rN2fBaSeHa\\nETdWUhg1mI64sZxsh8KZqYi1JjTakHPi/xxb41hgWRopwdrYnNbx6JdSEEax0OAHxP/tsk+zk5r/\\n+m4Ly0n3veVIZeT9azrGsGArPIMGgV7o0BpyvO3d023mq+bd98vlMp7nHel+aGsnQafTGUqhHkXR\\nyN/DjQPj3jnwT98xU8/86jtPnvd/Jg5kHIrp6WmazeaJj4+p1Wp0Oh2CYDTt0vuKvBCCjm/xrVdr\\nrLTNFDbVfIDSJFYUg2aqGND0LNp+8kW8LRWTpYClupO42ZwQmrlqHHl43AIv70RUC8mIAju5MOvj\\nuvaxi4OSE9DomS2YhzJSoDWWZa4luo8jFVEKBVUt32Om5OFYh19RT1IU2MpyHb77fEQhpynkJK4N\\neSfAD/qGcpr+e0ejQfe/jgvuftG9WXxrEX+tIFL9glwQKXBtTa0YcX157wMQe/xFbGxz589ICbM1\\nxfUlEo1T7PPAXZqHH7BRKXUS7JeEkSSmYwxdy6w/yHo3Z/z6sJOHzjQo58wXu5VKhXa7faxRgWGK\\nBJk4YIZMHEiGkygOnLw9zhgK4xJnOEpjBXFM2BtiwE5KOcUv3rPGC7dK/OhmKfU860bXgY1V+XZP\\nJtACLljtuEihOTsZsNS0E139C5VkqZkjn4so5wIW1nc39jsOWgtu1V1qxZBIQfsIK0tbRYHFRjpt\\n9K8turi24q55n250dAFjGG8BLwWB6CDKuZBGbwjzflsr0gSpd3PUuw7TpR5The6+aQhKQdPPE2pr\\nM5IwSaarMD8rubGo6Wz6mTkbcaQRN1eTK7r9UNDqSk5NRvR8xWojmc+iq0sWeVdzZkZxdSHZ9vkf\\n/kzw/Cshv/Qw3HHGTrSQj1fzTUUmGtnMJkZjDDEvHO5ECk1phMcK9sL3fXzfx3VdqtUqQRDgeZ4R\\nkSAbK8hIguw02puTX+1lGGFc4gyVUsZFjr4IIKXEsqzN/6SU2wSC3X8X3jbf5gP3rhqKOooL+kBZ\\nnKr4WHLwmV+lBUstB9eGM5NB4jP93cBiuZVjoqyYSdjvoN6x8XyL2ap/4A1J3omYq/oEkWSx4aZ+\\n8+6HkheuuTSbEQX78OeGQNM03EZbdEJ6hpzVtyJS8o84aJvpzmhLVtoFXlquseblUTsOUSmo9/Ks\\n9cpEHM1s8CgIAffdKXB2nEpax54B+ZzF+VOKJFWSpbpFq2tzcV7jOsk8btcXXFu2qFYEF+ZUor4e\\nWgu+dEXwv/41pNMOSeq5sBO4Lh8WyzL3vjUpegDIEbinKbnRUMRaGEwc6NP3JIiiiFqtRrFYHIt7\\nxYyMNzOZOJBxKIZRVKdB2p0DfRFgqxDQ//sg250qhVy+b5WL016Ce7s3Ssemha4Np8rJGOH5kWC5\\n5VApKGZTmK9sdm3W/3/23vRJtu088/qttafMnTvHmk6dc+/RuYMlWbZktTUj25Lct22ricYdBNBA\\n2IQg+AABDmi+tD76L3CbAAKigwAbO0xPEA0OwA30YBt3W33ltq3JkqV7pXvmmrJyztzDWosPu7JO\\nnaGqsqr23llVZ/8i8p6qulW5d2buYa1nve/zTF3WGgnNanZCitKCrb7LSpDgOc+v8Hi2TkWBRLI1\\ncAvPqt8b2vzZXQtLRwtNGgIvKbSHGDhTGXxWWEIzXELVQJo/n/8xYJBsDX3e3WsyDF3UUVHA2IVM\\nOGwLPvrDLz6WpqHgcc/h5qpktZHd56+N4P6uTcWT3F7PbiI/nEgedG3WVwQ3V7MVlYYTwd//R/D7\\nX40hAyPQIlfzdYHLa45VrJiXR7LOWSlG9H8xWY6FwjCk1+sVIhKUlQMlWWCMKORxFSnbCkoW4rq0\\nFWQlchxtByhKJbctw8ffN2CzEfJHdxuF9GUKAUYIbjQTpBAkRqaTDpMeE9oYlDaHhl3GpJNpZdLI\\nMKXFc6X+09hiGlus1hOUNuyf2wjRYIk0S16K1ERMCkOiwbbh1ZWQ8UygjTzYV5E+9JN91JqFWxH2\\nRg6upVkNInZHLp6tafkJuyOHrUHx8XxPI3jnsUvF0bx+I2JyQqtB0eKFMYbJEloKam5Cb1b851L0\\nYCDRFg/6AVUnpl41ha9Ctuvw6qbk3qMXCwC7fYkQktc3FQ92TWatBpNQMgklm6vZthrsHTzPK+ua\\nWajZ7Wd3nf3+Q8n3Hxo+8+GYD7xmoc+5PlPkZ5wUWPFedAtDkVUKx1FfgtdAnoRhSBiGeJ5Hs9kk\\niqLC2g1KSkqyoRQHShZCa11oeWFenKdy4DRvgKK51Q7p1PZ4+70G20Mvs+d1LE3gKRw7nUCOZpJp\\nlD4gnXh3ajHb/bP19gthsKXBkulE3hIGKVM3d8uCm60wdQLXMjUqY25UJg6NyrQBowVq/v3BpF4Z\\nwXG+RP2pg8DQriUYA92RxbMTZinTUlZL8mSfpMGyBJYQGKMQIn21QnD4781WyDSSl0AUeJpZLPnW\\nPZcbrYRWA2bJ05d4W+jCnbkDN2G0hJSCInuX5xRlEvcsxhge79vUvJhlaLjvfx9s70F4TEGQMXB/\\n16LqwY1Owt3t7ESUnb6FFJI7m4qHuxBlJD483peA4M6mpjuAwTi7z/Wff13wR99W/OynNZ22lbuf\\nzEUoNsaw2AnkMq4Rz7LWdBA6vnaT5zxFguv2XpUsh2db8kqeUIoDJQuhtcZxlmDslTEnVQ5cNhHg\\nJKqu5iff7PHdbZ9vPAzOPCGxhCGoKCpOWp48DmE0E3ST4y8J2gh2Ry6tWswslgsbzBkjiJUgPmGB\\nxLE0jUqS+WTbIOgeVCYEVUXNjdkb2k9FRBoEiQZeOFA8+RK5UosRAvZG9qUa4D/u2Wz1DW9uRihh\\nH7YRVF1FOC1W5LNPMM3LC89ejiBhCYNagjiQCmSS/bHFSr34lUhLwl/4YYs//NOTtz0NYRra3FyB\\nKE7Y6WfzXs1bDXxPc6Otubud1WcguL9rYUnDazc1j3dhGmVkshgLfvv3YaOT8Bc/KbHdxc/LogSo\\nomMMi57zRUvwQTmKJTWeleDXm4RhyGw2K3TiW8S2ykqCkpKrx9WvEy8phOvkOTDv/z+PQeBlQgh4\\n/8aEn/5Al0bl+L5FgaFRUaw3EjaainpFo4yhN7F43LfY6gtGs8Vf82CWRvOtZegbECvJ3thlrR7j\\n5+TcPA4ttoceQgrWmzHBCe/ZouxPHLpjh6CS+g5YSzDAOw5jBN996LK9Z/Dt1KgxVgUf28YwjovX\\noIPKMq5VyxEGjDHMDias3aE8iBEsnkbN8Nqri73vO/00MvWNm5JKRsaCkLYaPNy32VyFToY+B0oL\\n7u1YSFvy+k2DnWFv/FZX8Fu/Y/iTb8VIFtvnosSBIo0PgULPH2MMYbLcMU3gKqIo7dU3xtBsNqlW\\nq4VsOwszwrPwrCdBtVq9MmOtkuvJPFI378dV5OrP9koK4ap6DjxrEDgXOdrt9rVokwBo+Ql/8YN7\\nvLk+BWOoeZr1huJGU9PyNUIY+lPJVt/icU8ymF7cJCXRku7YZbUe4WZoNrc/SYWHjUZELllwzCMQ\\nXcaRQydIWK3HFzZcHIcWO0MX2zLcaEZUlxRN9SJGM4vvPbAw8Yyk4NiuwEsKjwozxjCYFn9HLsqI\\n8DnM0XQESXe4vOvaG7egWlnsd42BezsCz7V5fVNkWlKeR6oBpNGMd3csAl9y54bONHnla98T/MZv\\nKx5tnX49SgqasxftAVBsC4NYuudA/YgZ4Ww2OxQJWq1W7iJB0eLAnLlIoLU+l0hQVhyUlOSPMGc4\\n0x4+fJjnvpRcYmzbpt1us7Ozs+xdeSFnNQh0XZcgCJjNZkwmk7x3L1OEENi2jW3bOI6DZaU55kop\\n3ttW/PPveozC4iYInq2p2OqwfD8rmtWYWSwYF9AjX3UU9Ypif2wRZbCaJIRhJUiIEkFvspzurYqj\\nqFcSokSyP0r7mh3L8EO31ImGhVnS9KLCTQFrbryUlALX0k+1qxRFFJlDX5A5r22E2EvSCMYz+IN/\\nefbZ61oTEpWwtZ/tcel7qUiaXavBE9qBxrMN93eyfe5mDf7yT9o4Lzh1bKFJCir19yzNLCnmQJIY\\ndIHimhCwPSpmlf44Prg+YrX24vjdarWK53nMZjNms1nm27Ztm0qlwmg0yvy5z0KlUqFSqSzcVmGM\\nIY6zjSwueTE3b95c9i7kyv/6L4pRWf/1T17BhdVSHChZBCkla2trbG1tLXtXMvUGqNVqeJ7HcDi8\\nlDccy7IORQDbtpFSHt4ckyQ5fBwlUfCNhwHf3a5S5ErmSi1ib+RkuvpjCUO7FrN1RhPE8zI3XYxi\\nQX+azaS+WU2wLc3uMP/XEHgJvquZRieLEpvthEbdIsyz59akJpRFT5gblYjetGijSIMlFk++yGyr\\nxjCcPF8JVK8m3Ggvr3rlBw/hz39wnoGX4fa64MFOkllv/5y1ZrapBkdZb2mSWLPdy/a537hl+Oxf\\nkCCfnKdVxzDNyHTxNIoUB1xLFeoBYBDsjhcsc8mJT7zaw7OPH4ILIahUKniex3Q6JQzDzLbtOA6O\\n41yaxZFFRYJSHCiOUhzIhlIcKLnWbG5u8ujRo8K2V1RcoJSSRqOB1prRaITWxTftzqsB5iKAbacT\\nu6MCQJIkZ9q3vZHNV99rMJgVt3LtuwqBYZDRxHpOo5IQKxgW+Fqa1QTH0uwO7Uyc1atuWp2w+4wh\\n4kVpVGIqjmY0sxjOFh9c29LwQ68opjlVETS8hH6BnxeARGMAVaCJGkCzEjEMi0+u0MownL74td7Z\\nCHGWVD2gDXzla4bh+HwlwJ5j2GjBO49UptGQQhhudRQP97JLNTjKrRVFfwS9UbbP/dmPGH7oThp9\\n6Lswyc7u5URsaQprC6rYyXPpKnmSaIv9wkXEJ7iW5pO3+wv9rhCCarWK67qZiQSu62JZFtPp9MLP\\nlSVHRYIX7ZvW+rkFkZJ8KMWBbCjFgZJrTZ7iwGVICvA8j1qtxnQ6zfWGaVnWUyKAlPLwhndcNcB5\\n0Rr+7HGNbz/2C3W4XqnFbA+yXSmfr+pvDZxCs+Q9W9OsJvQnkll88dmWLTWdIGE4sxifp/3DpPGM\\nttT0p9bCqRHHsd5M6LRk5gPzZbQUNJawTYBmZTmtDNOZObYNxvcUNzsJy/L8mobw+390scHXSgMw\\nikfdbPZpju9pmr7mXg6tBlLC+zYkj3YUowy9LyqO4Wc/I1hfgVAVM4kWFGd+WLFVYVUKANPEKTzW\\n9SgdP+JDG+Mz/U2WIoHneQghcmlZyILjRIJSHCiO6y4O/P2vFCMO/BufKsWBkmvMxsYGOzs7F1pZ\\nL6oa4CIEQYDjOAyHwwvdhIQQT4kAWVQDnJf+1OKr7zUy9wU4iUYlJowFkyjbAVi9kqCUYTArdjIm\\nMHSCGKVgP4P3MX2+BKU59XORwtD209jE3tjK3GVbCsP7X0kItZuJoCMwWLL4dIRl+A3YUmOMWEpL\\nwWAsOKnq4/ZahJehId9Zub8F33rnotc3w6vrgsd7inHG85jztBo4lsFzBJ4LriOwZBrlmBoqGowx\\naG0wJv3dWZi2ehmOOFiTponMv9dHnK1f9LXW6dfapN4MP/UxQa1m5XrMFR1j6Fkq3zanZ+jNvMLN\\nUo/yvvaUV1vnO6CFEPi+j23bTKdToujspSSVSiVNbMiwVSEPnhUJlFIodXkMf68zpTiQDaU4UHKt\\nWVtbY39/f+EJ82WoBjgvlmVRr9dRSjEajU41yTkqAORdDXBejIHvblf5xsMaqqA+cFtqGpWEnWG2\\nq7lCPKlOKNZx2lCvJNQrGow5nPweHfCn1lqSWBnixKCUSH/vhHOgUU1w7dSXYP56bKlp+QnawP7I\\nJinAyXu1oVhrC6YXrCKouzGDgifprqWYJZKiEwPa1Yj+EqoVksQwnp18HldczSsr8dKqB4yBd34Q\\nMzpoa9bGHEx8Uz9+rdPzRhuB0aAh/deIdDJ8MCkGkbYatAXvPlQHPwMORChLps76QqbeD0KmUUyW\\nNIiDU0+Ig9+ZP5h/bXBkeq6m557BGIHWabReogSxgiiGMOLIthej4hjWmpr7OxAn2X0Qq03D5z8m\\nqAX5iASOVEQFVSik29PEhfmTGHbGfkHbejE/sjGk7V9sTCClpFqtnksk8H2fJEnOJSwsg7lIMBqN\\nLo1PwnXnuosDf+8PixEH/s1Pl+JAyTVmdXWVwWDw3M3kKosAp1GpVPB9n8lkwmw2Q0r5nBAAy6kG\\nOC/jUPJH7zXYynjCfhJtP2YwsYgyXqkJDqKg8kwEqBwkGUDqefBk1d6wFsRsD+yFTBgtaXCs1KQv\\nfaQr9vJggiIAKQ3CpO7z3bG9lKgtIQzvv5UQ4557+w2v+AlzsxItpYe47iaM42LLk40xjKdioePu\\n1dWIiru86oEogd99+6LeAel5IgU0auDahnvbOtNJsWsbNjtwf1sT5uB35nuGTl1zfxuSDCtqVg5E\\ngiBjkcCzVIEeAOmeF1V9I4Dt8XKTCj59u4dtZXNeSinxfR/LsphMJgsZ9tVqNcIwXPqixVkp2wqK\\noxQHsqEUB0quNWtra0ynUyaTybUTAV7E0bjAeX9ekiQnJgVcJX6wW+FP7geFlVZ6tqZqK/Yybm0Q\\nGFaCmJ1hNkkJttS0qgppGSbR6b4AgZe2OWRpltj2YyahYHJBP4GLsNowbKwIxtHZjo+0wN4Ubgro\\n2QnTgifpFTspdHV1jtGGwWSx99e1NbfXllc9ALDbg0ePYx51szueb64YBiNDd5St8FFxDat1xf2d\\nbCfxc4KqoeVr7m2TabLLSsPw+Y9nJxJULHXhCqJFsYQu+Hoh2FliUkHFVnz81UHmz3sWkSAIgsMy\\n/avEZV98uU5cd3Hg7/7zYo6jf+szV08cuHp7XLI0ptMpvu/TbDavlTggpcR1XXzfp9Fo0Ol06HQ6\\n+L6PlJIwDNnb22N/f//wb66i4v4sd1Zn/NyP7PHKOfsez0qYSHozh/VGhCWzG9AbBLsjl5qnaR+T\\nGX0SQhhafsxGIzoo4xfsTRx2hu5ChoGj0CZSNpvN7Moz9ycORkjW6ss7xnYHgm993+ASIsXin1fg\\nJYULA75TvDCQbnc5g9T4DIdFlMjMYwHPykoTlHTY6BjWmtlMRh7uCaax4M1bEi9DvXEWCe7v2fhV\\nyftumEyvVQCjqeD+nkWzLnjfhj7wKrg4ewPB//KP4bf/acJolJA2bpyfIj00sn6PT2MZFVlHqXv5\\nTMjniUuj0YhKpUKj0TisbnwWIcSp7ZKXkau4zyUlV42ycqDkTAghqNfrVKtVxuPxpYvBOY3TvAHi\\nOD5VSa9Wq4ev/7Kb+SzKg32Xf3mvnokb/yLkFXkIhtUgPjUuMPASfE+jtGAwtTKLFuz4Mf2JzNAw\\n0LBej9nqL6fFYE6rpri5CpPk9FnYy9NSYKg6mrBAh3VIB8fDiThTmb4tNXc2lls9ECXwz/409RFY\\nbyZMZ4b9UTbvXdU1rDbh3UearOcOQVXTrCrubYtczsF2oKm6mntb2ZpatutpJUGjfr5KAkeazNvA\\njqPopIJIWUvxCZnzWmfCrWb+YwfLsvB9HyEEk8nkqQWNRqPBcDi8cpPtOI6v3D5fVa575cDf/mfF\\nHEf/9r9y9RZTS3Gg5FzYtk2r1QJgMBhcutK007wB5q0B573JzEUSKSXD4fDSvf7zECWCr90P+P5e\\nMb2YeUUeAlQdhWsp9sbpALBiK+rV9DMahVauIohna6pOwu4wu+XMZjVhFsPkPNGHmWF482aCkc6x\\nlQHpamWxLudpP7rJTOBZlMCLmUTFxxdqbRgu2FJwlM1OTFBZbjnubk/wte+m11yB4UY7YX8oGE2z\\n+exW6gYpDQ92sx/0NX2N76XGgnlEqa7UNbZleLCT7XO3AsMXPi5oNM4mEhQbY5gU6G8Ao8hlWpAQ\\n/iI+sjmgUSluzGBZFrVaDWMMk8kEpRTNZpN+v1/YPmTFVTFQvA6U4kA2lOJAyUuH7/vU63Vmsxmj\\n0Wgp+3BUAHAcByHEYTXAXATIa/LuOA71ep0wDBmPz5ZZfFnZHjh89W6dcW4Z0IaKo6nY6WDYEulq\\n6Nz5PzWmeh7xzDdHr1zHXXqFNESxOBQJimQtiBY2K1wEx9I0qort/vKyuQEaVcUr6y+uIlhG1UB9\\nCduE5aUUzEJDGJ99Mi2l5vUlVw8YA998F7a7T35mScNGM2F7XzA7x+t6EZsdRX8EvRwuye1A41mK\\n+7v5iFFrTY0whod72X5QjcDw0x8TNJuniwTXOcbQGEN3Wl1aJZbA8On39bCW0NRr2za+72OMwbIs\\ner1e8TtxQUpxoDiuuzjwP/9BMeLAv/PZUhwoeQmRUtJsNnEch+FwmNvF+2g1gOM4WJaFMQal1FMm\\ngcsoOfN9/zBm5zrcvBIN33wY8N2t6rlX9R2Zlsu6tsGxLZQRTEPNNEq/fhpDx48ZTmXmKzrz2MPh\\nTDKJip1YB16CVoZBhmaFmy3Fo/3FnOrz5I0bMTjOU7GYdS9mMCt2NT1YwjalMNiy+GqF1IhQcN64\\nxo1WTMNfbvVAouAP/hSe1Wtd27DR1NzfFWfyVDgOSxpudjT3dtMYwqxZaSgkmkd7+RwDGy1Nkmi2\\n9rN9/oZv+MInBK0TRIKiYwxtqQs8l5YbY1hzE/7CreHStg+pSNBoNIiiiMlkcqUM/q7D+OqqUIoD\\n2VCKAyUvNZ7n0Ww2SZKE4XB4oRvOXACYiwHzaoCjIsBlK+WXUlKv1wEu/PovC92xzVffa9A/xhtA\\nCoPvKlxbY8m03DZWgmlsnSsFQQpD24/YG9kkGfe7CmHo1GLGocyxKuJ5pDB0ahGPew7nndQ9S6Oa\\nECcwmi2zzQBqFcWdDRgnDpI0Wq7IFTlbamKVba/2IjQrEcOw+KqBMDLMzpgecRSB5vXNGLnkscr+\\nUPDH337x0KPqalq+4sGuzORY8j1NKzC89/jFFUkXZb2pUMqwtZ/Pm7rZUUxnht1+ttfDum/46WNE\\ngqJjDFOKijE0bC9RHNgIQn5obbK07c9ptVqMx2N830cpdWVEglIcKI7rLg781v9XjDjw7/5EKQ6U\\nvOQIIQiCAN/3FzIsnFcDzIWAeTXA0ajAZVUDnBfXdQmCgNlsxmSy/EHARdEGvv3Y51HPRUoQCBIt\\nmCXyoAw4+wufa2kCL40nzLq/V5CKBJNIMipQJGgfVEZkVTptS03LT9jqF9/3/ix3NhKagaE39Qrd\\n7nKMCKFViRgsQRwYTS4ef7fWSGgFyxVWjYHv3IWH28f/Tr2iqHqah7vZXGM6dYUAHnVP/dVzcaOl\\nmEWG3X4eA0HDrRXNcGLoDrIXCb7wcUG79UQkqNi6sJ58W2iSAlsYjBHsTpYXY/jmypgbjeVPcI96\\nDjiOg+/7JEnCdDq9tCKBMebEeMaSbCnFgWwoxYGSkgNs2z6MPBwOh4zHY7a3t3n06BEbGxt89KMf\\nRQiBUuopEeCyVQNchHmrwXA4vBY3tFgJ3tur8M6uzzDDMvmTqLkJttTsjbKfAC9DJKg4aaXFdj+7\\ngfdaPWInQ2+Ds9L0Eyq2ZhRZ3F7TTJVb2Eq+72pGYbGl/bZIKySKrlYwWjOYZHHcaN64ESOXHGSs\\ndJpecFoLQbumkEKztZ/NObPZSegOBcOcdNvNjmI80XSH2b/BQqQiQW8AvXG2x1+9mrYbdNoWVddi\\nNCtm4Fyk3wBAoiX7BYuYR/nozQFBTlGGiyKlJAgCBoPBUz93XZdqtUqSJEwmk0u3KFOKA8Vy3cWB\\n3/z9Yo7vX/jJUhwoeckxxtDtdnn48CEPHjxge3ubbreL67rcvHmTW7du8eabb7K2tnbpbjx5IKWk\\n0Wgc5g9fVkX+rGwPHd7d8XnQ93Jx7n6WZjUmjsm0d3/OMkSC1SDbCX29kqCUKUy0saRmNUiYxfK5\\nlpN57OE4zreioWInTOLizRmXZUQYxYZpRkJIp56wUl++EDsYC776rcXuA2uNhCiGvQxWzm1puNFW\\n3MvI3+BZBIabHUVvZOiPsxcJpDDcWtXs9mA4efoaYgmDbYNtpQ/rwPRVSrAkCAFSpP8+a05pDLg2\\nfOhNQauZfYrMiyg6xnAa24yWkDIC6ef2mff1lmoKCml6QbVaPdZEei4SxHHMdDq9NGO1udF0STGU\\n4kA2lOJAyUvL7/3e7/Enf/InhGFIp9Ph5s2bh4+1tTVarRae5zEYDF7KnjHP86jVakyn01NbLa4S\\n01jy/d0q39+tFlCGmk7iBxOZUxRhalw4jWUhk+zASzDaHOvncFYsaWj7ca5tBo1qQtUxdMene0ps\\nthOadck0p97lZbUU1L2EccHGlgJDfywyFeJevxEuxTH9Wb53H+4+Wvz3b7QShmNDP4MqilpF06hq\\n7m6LXPwIpDBsdhR7fRhNT/rsDK6dTswd2+DYqYAhpUAKgxBpZ74xaZuX1oJEpeaOTd+wvQ/TKP0+\\nq2Nkc9Xw0x+XSCffY71ocaA39YgLNhKdU/cSfuzmcs0IIa3s9Dzv1IQlz/OoVqtEUXQpRIJSHCiW\\n6y4O/MbvFbOdX/ypYraTJaU4UJIJ3W73sIz+OFzXpdVqZWJYeFWp1Wq4rstwOLxWNzlt4FHP453d\\nKttDlzzNpSxhaPkRe0M7J4drw0otIUwk/Wm+g9Y8zArX6hE7QwuVkaGjJQwr9YQoEfQmZ5soCAyv\\n3UiQjk2cZemwMdiWIcrYtPI0KrYiKrAEek7Vjnncy1YIadYS1pvLrx5QGr7yDZiFi/6FoeIY1hoJ\\n+0NBnAjCRJCo858/K3WF0obt3kXPQYPvGTwHHMukK/cybQeQwhAnhjgRKAWxgjgRRAlEycUm9b5n\\naAeKu4+zb3f56PsNP/YBG00+55prFXdOGQy7SzQjvNmY8frK8hcHHMfBcZyFPX6jq7YAACAASURB\\nVJHmIkEYhsxms6WJBEqpa9V6etkpxYFsKMWBkpIFqNfr1Go1RqPRtVpFXxTLsqjX6yilGI1GS1fj\\ns2Y4s3hnt8p7e9VzJRYsimcraq5iZ2DnVP5qWA0Us5jMVvePIzUrFJlVRKQ9rZr+GSfzR6lXEmqe\\npjuyLzwJdyzD65uKyDiZONAHbswgLL40uFON6C2hpUDqhP1J9q/3tY0Qe7mBFwBMZvDOewmWlQpm\\n6REi0MagdBrbGScQJoIoeVJBYVuGtUbMg12J0hysvpunJuZSpivvAlKvCGPQSpBoSFSarhLGAqVh\\ns63YG8BodvD80lBxDZ6TruZbB6v5kK7iK52u1keJYBYJwjjd7+PwHMNaQ3Fv++LGki9itaExRrPV\\nzfa6a0nDW58UbKxlf621hEYVZEhoScHj4fLMCN+/NmY9WH7lpOu6WJZ15vFXpVKhUqkQhuFSxm6l\\nOFAspTiQDaU4UFKyIHPDQiklg8HgWq2iL0qlUsH3fSaTCbPZbNm7kzmJhnvdCu/s+PSm+U3kam6C\\nJTTdcX7b6NRiogT6Ob4O19LU3ISdYTbbkMKwEsQHVQkL/g2G1UZMrCT74+wFkaCiuL1uGCcXq5So\\ne8vp+/edYkugAWyp2BtY5FGNU68m3GhfjsH2uw8EP3h4PqG05mlqXsL9CyQbSGFwnVRcaNU02/uS\\nUU6X5XpVU6to7m/nU2F1a2WRVoaz0woMP/NpiVfN6ngsOMZQCLZHyxMHPvZKn6qz/IpJz/MQQpx7\\n3DEXCWazWaFjl1IcKJbrLg78T79bzHb+vc8Vs50sKcWBkqVSrVZpNBqEYXgtV9FPYx79aNs2g8Hg\\n2t749sY27+743NuvZLJy/CJa1ZgwJle/gI4fEymRayXBahCxO7BJMlpZXA1iuiN5YhVHzUuoVzT7\\nY5swyX8Vb62hWG3D5BymhelKo8jtODqOwF2OAWLVinjcz89d/c56SM5t5acSJYKdvuQ7717s+tcJ\\nFFplkwYyX+W/vyfJS7tebSiMNmztZ38sO5bhRkdzb4sLtVy8iPe/avj0j1kYcbH32ZY6p9awF6O1\\nYG+6HHHAlppP3e4v3YwQ0nGXUurC/k/VahXP8woTCZIkeSnbUZdFKQ5kQykOlJScAyEEjUbjMPYv\\nDBduPr022LZNvV4njmPG4/G1FUnCRPCDvSrv7lYZ55AMIDCsNw3dAUzj/EZhqUhgiBILKQ3WgWmY\\nFByG3Il5efTR3TDztTJxaC5mTNpvrA++V1qkZdFSESuRlkYfOIsbA8pAogWJkoSJQC0wuPZdhSX0\\nU54BAsNqPUFpQTeHKoFFuL0WU6nYZ4oya1QiekswIlxWSkEcKSY5GiD6nuJmJ1napCVKxEEKieC7\\n34+ZZhCht9FK6I0Mw8nFJ56+p2kHmvs7aetCHmx2FMORppdDskG9aggqinvb2T/3T37U8Pqr5/cj\\n8GxFWGAlTphYDMLiz2GAViXmRzdfnA5QNL7vE8dxJrGAQggqlQqe5zGdTnMdv5XiQLFcd3Hg1/5p\\nMdv50ueL2U6WlOJAyaXBdV2azSZaawaDwUt5E6hWq1SrVcbj8bUWSYyBrYHLO7s+j/rZGxhaUtOq\\nxi82LTQHPcnSYFk6jfiaT+rFU7+GJl1tOux7VqnxmTJpB/N6PWK7n0/k1zx94NEpbQGWNHi2xrEN\\nri1wHQlGo7Q+FCASlYoINU8xmEiCqqI3sQnj5dvVS2F4YzNBS2ehVUTfSRgtIS3AsUyhq5wAFSvJ\\nNX1izu21CM8pXpAMY8kwfFKivrevePA4m+opSxrWmzGPupIoA6EwqKbJBvd3JDqHt0oKw80VxeNd\\nmOUgbK63NFGk2e1newxXPcPPflpQb6QCz1mo2AmznNJMXsQwdArd3lFeaU6507kc7YO1Wo0wDDNt\\n5xRCUK1WcV03N5EgjuNru3ByGSnFgWwoxYGSkgwIgoAgCBiPxwu76V4nhBDU63WklAyHw2vbajBn\\nHEq+/dhn74hngBAifRx8PbcTM8ZgDv8/KKXTWfwxCEAKzXBmHZqPZT3Ba/sxk5nIrRd9NYjZGUqS\\njMwd27UEAUurFjgOz9G8fkMxVe6xYotnJ0yXUNrf8OKlZKP7tuZRL/+V1YqreWUlLrR6YBZLRuHT\\nvetKGb713fikU/rMVBxNq5Zwb0dmEvPXrGmqruHBTj7xh3maFgpheGVFs9WFSZjtc99aM3z+4xJp\\nL35+Vh3NtCCB0hjD3rSaaRzoWfjh9RErtYuv1GdBEARMp9NcxhZHRYLJZJJpdHUpDhTLdRcH/sd/\\nUsx2/v0vFLOdLCnFgZJLiWVZNJtNLMtiOBxmUv521XAchyAIiKLo1Dziq4oQAsdxsG2bd3c8/vC7\\nNnHG/bGWMARuwnZGRn8vwrM1VSdhPydTxJqnMOZi6QPPshqk/gmDnJMYzkqrpri5CuMX+BE0KxH7\\nS2gpaFUjBgW3FAgMowmFVSu8shpRdYsZeE8jyTh6sand3QcJvUH2VWNNX2FLzaOMnPw7gcK24eFu\\nPpPNelUTVDT3cjAtdG3DRktzdyt7AeLHP2D48PsXazWoODAr7NZu2FlijOEnXu3h2ZdjYttoNBiN\\nRrlWZwoh8H0f27aZTqeZiARZCg0lp1OKA9lQigMlJRnzshsWwpNWg9FodKVvjpZlYdv2oRggpURr\\nTZIkh4/+WPP2ew12hllPxAwdP+ZRxlnxRxEY1vJsMxCGdu30NoOzIEjz4kczySS6BJl2R9hsJzTr\\nkulBGbAxBtfWhfYoQ2qAKETxBohVK+ZxvzhBwrU1t9fyrx6YRPJED4UwVBc2JjyJtUbCZGbYH2Uj\\nEqw1FAbB424mT/cceZoWNmuaipNWQWSJZcHPfcZitXNyC4YUprDzSmDYXpI44FiKT7zSQ8rlt3EB\\nNJtN+v1+IduSUlKtVrFtm8lkcqGFnqs8/rmKXHdx4H/4x8Vs5z/46WK2kyWlOFBy6TlqWDgaja5l\\n7N9pSCmp1+sADIfDS+3HIITAtu2nHkIIlFLEcXwoBBz3GoyB7+1U+fr94KC3PztWahEP9y8Wo3ca\\n7VrMaCqJcnL9Xw0idofWiekDZ0WKNC9+f2QTZfi8F0VgeO1GguXYOJZmGBZf2t+qREsxMZM6YX9S\\n7Ou90Yqo+/kJsOPQYhqfLu7s7c4YjgyDaT5CkBCGG82E7V5axZAFGy2Vpi70Mnm658jTtPBGWzOZ\\nGrrDbK+LnbrhL31a4laerxIRmFxE1OMwRrA7WU5SQbsa8sG1IZDeH5ctErRaLXq9nA7UY5BS4vs+\\nlmWdWyQoxYFiKcWBbCjFgZJrx2/91m/xrW99iyAI+PKXvwzAeDzm13/91+l2u3Q6Hb70pS/h+/kr\\n8o7j0Gq10Fq/FL34L8J1XYIgYDabXQo/BinlYSWAbdtYloUx5lAAmIsB52E4s/gXP2jQzbhUv+NH\\nbPWdXFesKo7CsxW9HNsMME+nD2SBY2lWgoSdgZO5MHMRVoKYtZZhorxCJxSwHL8BWyj2hlllyZ9h\\nu1JzZyOf6oFRaDFbQBgA2NlT7O0rNpoJW738hDbXNqwEMfd3ZUbl9YbNjmY8E3QHGTzdM+RpWiiF\\n4daq5tFO9s/9gduGT33k6ejDYlsK0vac/Wl+kaAn8WpzzCvN6VM/W6ZIsAxxYM5cJJBSMplMFh4f\\nGGNeyvbSZXLdxYH//h8Vs53/8C8Ws50ssX75l3/5lxf95eFwmOOulFxGfN/nU5/6FF//+tf5iZ/4\\nCQB+53d+hxs3bvClL32Jfr/Pd77zHT7wgQ/kvi9aayaTCVJKWq0WQoiX7mahlGI6neI4DvV6vdBo\\nH9u28TyParVKrVbD930cJ500JUlyKFjMZjOiKLrwvnm24bWVGVIYdkbZrfZPY4tOkBAnIrcJcKIl\\nkZKsN2LGoSTrSV6sJEpLNpoxw1l2q6vaCEahheekk6Y89n1Rqq5iNUhAQH9iszuwsEhoBZpYF9Na\\nUHXMgWFase+BZyWMcoj6PA1tBLZlqGToPWBMKgycpR3EdQR7PcNoZuE5sNZUjGZzY9LsUFowmlk0\\nfFipp0keF0McVA3Bq2sGEIQZ3qIMgsFE4jiCWyua4YTMDPbmz+25gltrMBiRmeHiXl/wtT/XtGqK\\ndiMNe7WlKjT9Y5ZYxGeITM2SW40pFef5e+F8bU4UnCNaqVSWVoFpjDkcH/i+T6VSQSm10FjhMldM\\nXkfm1arXlX/5/WK28+OvF7OdLLk89aMll5I33njjuaqAr3/963ziE58A4BOf+ARf//rXC92n8XjM\\nzs4Otm2zsrJyOEF9mZhMJvR6PWq1Go1GI9MVCCklruvi+z7NZpNOp0O73T48DmazGb1ej263S7/f\\nP4xdzMf5GH54c8JbH9ynWc0udqk/dQiqGt/Nr/rEGMH20GWlrnCs7Ac12gh2hi43WgmOne3zz2LJ\\n1sAl8DRrjeIEOEsY1hsRK0HCLJI87ruMjogf3ZHNd+5KXEJsmf9AMaikE7yiyVLwOSs7AyuztABj\\n0gn4YHy299BxBDU//ZtZLNnqO3TqhvVmdteAo4xmku2By42OYbVx8ePKGMGDPYtZLLhzw1DLuJo9\\njAX392wagTwQIbJjGgnu7UjWOoKbKxmKRAh+948Ff+//ThgNs02kWISoYK+SJxgC7/jj1hiDUuql\\n81NSSjEcDhmPx4feUpZ1uXxvSq43xhTzuIpcLpvqkivBcDik2WwCqbHNaDQqfB+UUnS7XSqVCs1m\\nkyiKGA6HL9UNVmtNr9fD8zxarRbT6ZTpdHr6Hx7hWW+AZ00CR6PRpWjfaPkJb32wyzce1vjzLT+T\\n0vJxZOPZiqYd08+xt7s7dqi6Ct9N6OeQDLA3cvBdhfASehnHE45Ci1Fo0fITpDCZt3ikGNq1BNeC\\nvbHF9uC0/n7BO48cfE9zeyNhHOfnBzCeaYrW0D2Z0F+Ct8IcYySDiaRZu9gk2RhItMAYwXlC/1oN\\nyXjy5NrTn1iAxc1OwmhKLn4E3ZENGG6vJ+wPYDi72GevtOD+roVtGV7bNDzag1mGbdPDqWQ4ldxY\\nUWhl2O4tfl2UAhw7NQ+0pUEKkNIgJVjz7wV88LZmFhmMFoc6mRBPD3rnX88Hw3r+tQZtUiFTa1AH\\n3//DPzS064rPftTgvcCPIGsMhrjAKoWjVGyNLU8//uer4lLKXCsJhBCXagV+LhJYlkWtVsMYw2Qy\\neW7c8TKN7UpKlk0pDpRcaWazGWEYUq/XWVlZeSkNC8MwJAxDarUa7Xab4XD4XB/f3CTwqD8AcCgC\\nzOMSL/MNWEr4yCtjbrVC/sUPGpmUXYeJhS0FK0HE3ii/SeY0sgiFZL0RLTD5PTuTyEIKyc12fGC4\\nmC1zb4OVICbOKP6w5irqVcVgZp0rAnISSr59V/LqaoRbsYgyLhn2nZhZsoRJ+iU4B7f7FnVfI885\\nRzkqDEDqij+JzzbpqdcElkwnlE/t28BGCsOrqwmPexZxkvVESvC45+DamtdvJOz201VvY9KJ7bwa\\nQh9OfNO/OYlECe7tCDzH8Pqm4d4OxMcsJlvS4FhgWwZbgmXNJ+zpZF0Igzx4H4U4MPUz6T6+7qc7\\nOA3T914DWguUhkQZEgVJYkh0OmEPYyA+uv8vfh1SGm6taLa7MJ5l835PZvB3/x/DjU7MT/24xKvm\\nJxIss0Q2cM9WeTWfuOflSSCEuJT3eaUUg8EA27ZPFAlKSrLiEmlkl45SHCg5M/V6nX6/fxiHEwTB\\nUvfHGMNgMGA6ndJsNqlUKi+lYeF4PGY2m9FoNA5NAefVAHMznyRJzmQCdBlZCRL+0oe6fO1+wDs7\\nVS46oEy0ZBw53GhGuUbHaSPYGXmsNSL2R1bm/baHbQbNmO44HxO3vZEDmNRLYTbPql8cR2radUWc\\nCPbH9pn//kXc27VxbM2bN2NGsU1WEwzPNswKPk0Ehv2MTSbPh6Q/tmgHZ7+GGpNOho9W9zi2QM0M\\ntn2GlW0paNYl3f7zIzhtBI96DhVHs95MeNi1Tum9N1Qcg2sbHNtgSYMlnxwpWkOi0/0OE0EYC2aR\\n4O6uQ83T1DzFo+7xx6ogncCnq++puV86kT+Y0M8n9hjGM1htQKMm6I1gGhri5GD7SSo8KA2c0xRQ\\nAK+swXCk2B2kr/353zgbWgvu7Vg4tuG1m5oHOxBlZFr4uCv4u/+vYb0d87kfl1T87EWCrHwZzkPg\\nnu8iMm83yLqS4LKKA3OSJHlKJJh7Tb1s47mSkmVyGUYhJVeMH/3RH+Xtt9/mrbfe4u233+bDH/7w\\nsncJgDiO2d3dpVar0el0mEwmjMfjZe9WbpwUGQjgeR6TyeTMrQZXAVvCj98ecasV8vYPGgvFo52E\\nQbA/dbnZinjYyze2bnfk4rsKXySZrMA/y97YoeooAi+hm3GbQYpge+AghWGjGdEb24QnChGGlSBB\\nyrRse7uf/Wp8nEj+7C5stBWtumByweNBYJjExd8eK3ZMTy3HUf1ZdgeSpq84y+Lli4SBJ//v7BOS\\nlbbAJApLmicT7YPV86NbuLOeoBQk6mA1X6eVC1GSro5HsWASpo+zMg4l41ByazWhN4LxC1oNDOmE\\nXsHBf07fzs4Aqp5mrSW5u5Wu6meBAe7tAEhe3dCMp5ruIBuhME5SkaDqpskGd7fIKOUBtvcFf+8f\\npSLBT/24xPetzJJJlpm8cpLfwCIcbTeYC/0X4bKLA3PmIsHcfPm6j+dKiucKnAZLo4wyLDmRX//1\\nX+edd95hNBpRr9f54he/yIc//GF+7dd+jf39fdrtNl/60peo1WrL3tWnkFLSbDZxHIfhcHjl83Gl\\nlE+1BTwbGTh/HD2dhRDUajUcx2EwGFxb5T1Wgj++G/Bet5rJ863UIh71nNxXm6QwrNRitgf5lK4L\\nYVgNYh7uZ7ea/iIO4w+HNupINUS9klDzNP2JfeD4XwxCGN7cTIhwzx1XuYz4QgDLJDn5OpyP9UZE\\nM1hsiHCSMABpGf0kts68Cvru3ZhZuNjvrgQJiTLs9PMxNnMsw1oj4d6uzPT64HuG1abg7pbOTCR4\\nwkG8YoYiwZy6r2lUNXe3RObXy9Wm4XMfk9RqFxcJwsRiEOYr+r4IgeETr+xhZfi2X7SSwHEcHMe5\\nFFHIZ0EpdW3HMJeV6x5l+N/9w2K28x/9bDHbyZJSHCi51nieR7PZJI7jK2NYeLQSwHGcQwOheVtA\\nkiRnuknatk29XieO40vvK3ARHvRc/ui9ximr2IvRqsZ0Rxaxyn9SuxpEdEfWUxPrLOnUYnpjmcn7\\nchJVR9GqKbSGMJGHPgXLouErbq7COD77ZLtVjRjMip1M2ELRHWa3WpoVH3plcmp0pDGpSHeaCLUz\\nkHju2Y7Dbk/xeOdszaGr9YQoMuwO8xEJ2oFCa8NexpPtoAqrDcEPHqt8RIK2ZjLTme93p65xpOHB\\nbvbH7krD8LmPCYLAPve5MQwdZknx1yPfSfixzV7mzyuEOHycFc/zkFJeuYrCImObS1JKcSAbSnGg\\npOQSIoSgXq9TrVYZj8eX5qYohHjKIPBZk8C5GJDVZL5arR6+B2G44FLcFSOMBX90t86D3sWzwwIv\\nYTwTzC5Yor4INU8hjGY4y2cAW3HSOMXUjf38eLYmqAocqTFGYYwgVoJZLJhGEoOgXlF4jj7wJ1g+\\ndzZipO0s7FYuhUYKce6qg/NStSIe9y9HS8FRNlshgX/8/19UGADoDgW2c7bzSSnDn38/OVcJaOqN\\nAfuj7M9hgWGzk/CoKzM3RaxVDKsNwXuPFUlGZftPyE8k2Ghp4liz3cteiGzXDZ//mKBeP5tIYIxh\\nb1pdiu/Aem3GGyv5pTmdRySoVCoYY67cGCCO42u7sHFZue7iwH/7O8Vs5z/+uWK2kyWlOFDy0mDb\\nNq1WC6DwMnvLsp4SAp6NDJw/8mYulEgpr7Vp43t7Ff74XnDhlf+qo1DK5DZpP4olDR0/xzYDDKv1\\nmEf7xw+uBQbf01RsjWUZxEEvdZikk/+zvJ+rQUyoJKPZ8rOrK47mzqZeKPZwGVUDACpWmSRw5MGP\\nvDIhekH1gD5oJVi0bSVJYHyO1oL7jxIGo/NODAwbzYThBHrj7I9F39MEFcXDveyfO6gYVpqC9x5d\\nLZHg5opiOIL9UfYT8lZg+PzHBY2FRQLDzvgEdStHXu8M2Qjyn4SfJdmgWq2ilLpyrZalOFA8pTiQ\\nDaU4UFJyBfB9n3q9zmw2YzTKVtU/ySTwaFvAssvjHMchCILDCMPryCSSfPW9OluDi63GOpbBtRK6\\nBa2ErwURuyMbneVkwBhsy2BZhmZVMZ6BY6URZcakhn5HV/+zQgrDjbZmdyAPVpeXy81Ogl+zCJPj\\nJ3LL8BvwrCQXo8asWKuHtOpP/6xiJ0xnhkni4pwhheA8rQWjsebuw4sJmUIY1hsJ+yPBaJr9yvZm\\nW9MfwyCHVu6gaujU00qCrAwAn5CPSCCE4ZVVzc4+jKbZn/uNmuELHxc0GyeLBALD9pLEgY/c2Kfm\\nFifALyIS+L5PHMfE8dkiFpfNVRMzrgPXXRz4b/6vYrbzn3yxmO1kSSkOlLyUZGFYKKV8qhrgWZPA\\nuRhwmZm3GoxGo2t78313p8J7ex6xSqP3zhMhKIWhUUnYKmgCV/cSJAqNRB7EpM0d2o8uuhrSsm5j\\nnuSwKyOeZJtrQaKeL5F3LE3bT3jcO38f71nwbE2rdjABzjCW6zxY0vDmzYSpcp977a6lDo6PYvfR\\nkzHbg+KrFc7CUe8B30m40xphSYgVfPNhQGgcbOv0921/JLDss62yG2P43g8S4gwup1IY1psJe33B\\nOMxWJLCt9Lnv78hc2lKCqmGlnnoSXBWRwLYMNztp/GGYUfzhUep+KhK0mi++lhkj2J1cvM3srEhh\\n+OQre0u53J0kEtRqNcIwvPRjk2e5ruOTy0wpDmRDKQ6UlFwx5oaFSZIwHA6PXdE/mhRwtBrgqBCw\\n7GqA8yKlpF5PlwVPeg+uMt2RzR+802QcSmqupuqmEW1xIhiFNnrB8tS1uuZ+xuXDttQEnsK1DQYI\\nY8koTLexEkTs9J0cSopTGpUEIcyFvQgW3l41wZaG/cnyV8k7gWKtA5MjhoXtakS/8JYCw2RKIeaX\\nF6Fdi1ltKgI34X2tMfKZQ3IWw7ceBSQ4WCeIBImCUWghn32CU9jvJTzaya6s2JJp8sBOL62YyZJW\\nTSGMYSfjcv059Sq0A8N7W/rKiAQV17DW0NzbnreiZEtQTUWCdutpkSDRkv1p8V4edS/mRzf6hW/3\\nKC8SCer1OuPx+Mrd50txoHiuuzjwX/+fxbSp/Kd/eflVk2elFAdKXnqEEARBQLVa5eHDh7z33ns8\\nfPiQBw8e8MYbb/DFL37xxMjA64LrugRBwGw2u3IxR4sQJYKvfL/Bg/2nB4pCGAJPUXHSwVKYCMah\\nfewK90ZTc2/n+Mi2k6g4Ct/V2NKgTDopmUQnr1RXHUXVUbl5EQCs1SN6Y4tZQZGDa/WYSSSZRMv2\\nIzC8sZmghIMykpqbMI2L7fu/rEaEL+Kjt4fc6UyeEwaOMo0k33xUQ0sb65hf3OlLPO9sx1qcGKbD\\nGY+7VqZimW0Z1huKx/uCWZTlIM5ws53weF8SZWxYOKfhQ9PXvLdtsm1DOmCzrZjO0ragrAiqhqav\\ncok/hNTM8QsfF6y0U9E30h79HNpITmOzPuVO+3K07B2NP2w0GlcmuekopThQPKU4kA2lOFBSckVQ\\nSrG1tXUoAjx48IDxeMzKygp37tzhxo0bbGxssLKygmUtewJTLL7vU6lUGA6HV64vcRG+87jKn94L\\nTiz7taQh8BJcO708TuN0IjsfYK0Giq2ePHaSIjAElYSKk0oIsRKMQ4voAqvDbT9mFpGbOaJrGzqB\\n4mE32wz347CkYa0eszuyc4txXJSap7izoRglxZcfu1KzM7j81xhLan7mQ3tUncVWHEeh5M8eBWDZ\\nPFvhfJ7WAoD7WwqhFb6reNS1yLL9w7UNq3XFwz2R6WS+6moavuLBbn6fccOHhq+5e4VEgnag8WzD\\n/Z2M99doPBeaNcNnPiIxXkCkij+/fmhlwGrt8kxopZSHCwD7+/vL3p0zYYy5lmORy851Fwf+q/+j\\nGHHgl/7VUhwoKbn0/J2/83e4f/8+6+vr3Lp1i1u3bnHz5s3D0vqjhoXj8fjKKexZIKWk0WigtWY0\\nGl25EsTT2BvZ/MH3mmdauXastPzfsQwKgRTQHdtoBTUvwbWebgvIo+dYCsNKLWJnaJPkVIZeryTI\\nAlsNqo6m4ad+DufJ7T4/6QpmxdFMQ4vBzOJGK6HdFE+1GuSJJTT7o2LEmIvywRsjPrR59pXQ/lTy\\n7a0AaduHFQdKwfAcrQWDsWZrN70et2sJKjHsDbOd+HmOpl1TPNyTmZa/rzcSRjMYTPITwpo1qFc1\\nd7dMLtefG23FLNTs9rN7DetNjdKare7zz2lJTcVNhRvHAttKr4ECMBi0To+lOIEwNoQRzCKeeu2v\\nvyr56EcaJKZYgeCjm92FhbSsOeqH5DjOU+lIURQRx/HC6QaXgVIcWA6lOJANpThQUnIF0FqfemOc\\nT449z2M4HF65TOCs8DyPWq3GdDplOp0ue3cyJUoEX3m3wYPe+Uu6q46iXjVsD6xc+miPo+Ioaq7K\\n1SCx6FaDlp8ggN40P1FCCkOnlmBJQ39qH/vabnUS6oFkmuQrkFyVlgLPVvzsh/awrfMPpvbHFt/Z\\nDrAdCyHO11qgjeH79zVPtMo0gaA3zN5csOpqGtWEh3tWZn39ljTcaCXc35U5eAU8oVmDoKK4v2Ow\\nJVjWwb8yNTeVEizSlipEWukEgBHppNuA0aA0aA2JBqUEsUo9I260Ffe3084rKdJ/j3599GdCcGik\\n+uzXHPnetQ2TqWEWQRQZplHqCZMF6yuCn/xMg1gXI3haUvPJV7rFbMuynvJEmgsBc0Pkk/yQjrYb\\nXGbmwkZJsVx3ceC//O1ixIH/7K9c/nPsWUpxoKTkBFzXpdVqnWpYeN2pO5ABNQAAIABJREFU1Wq4\\nrstwOLx2N+lvP6ryp/eDC63eOpamExi6I8k0077lk1mpa2YR9Mf5bPMw1aBvF7S6nU72hjPJLM5m\\npc+zNU1fYQzsj+0z9avfXoupVi1mOYkEKlaMwmI9Ds7Dj70y4I21bMTBnaHN93ZrTGMbcY6Wre09\\nTX/09LAl9Q3QPNjN3uzO9zRBRfFwN7sEgqavsKRmu3eRY1zju4aKY3Bsg8CkaTkKwkgwDgUrDcGD\\nHZWLcHl7TfFuxkPCzY5mq6uJc0g1CHz42c/XicnfcLRZifjQ+iDz57Us66mKgKPGyHMx4DxjFCkl\\nUspLWyVZigPLoRQHsqEUB0pKrin1ep1arcZ4PL6WZn2LYFkW9XodpRSj0ejSDiTOw+7Q5p+9c7Y2\\ngxeRxqQZBmMYzIpZcRfCsFqL2Rla16bVwJaG1XrMztA514QsqCQEniZMJL2xdaG4RoHhzkaC49qE\\nGfYuu1bCTkHRmBch8BLe+uG9E00Iz8PjvsM3t5pI64zGhLFmdzdBHUR4KpOuZhskvnuMH4HR6Wq5\\nTD9PKdNzVQJCHl3RNk++xjxZ2SYVIJQyxOpJfGgaG5qusCsjSBQH0aGLvCbDZjtNS3hRBYtra6pu\\n2pcvRXqtVcoQxjAJBZMZC50bN1cFj/d0JjGQz3J7XfHug2yfc71l2O+rjM0hU2zL8FfeClBWvt4i\\ntxoTbrcuNk6YJyPNxYC5EHC0IiDre/BlrSRQSqGUWvZuvHRcd3HgV//3Ysaw//m/dvnOqdMoxYGS\\nkgWxLItWq4WUksFg8NIq2ZVKBd/3mUwmzGazZe9OZoSJ4CvvNHiYQZm3wLDWhFmo6Y6L6XWtOIqa\\no9jKNdUgpj8WTDNa1T+NmqeoeZqd4WmvydCupXGQ41AymmW/f1IYXruRIG07E4MzT0RsDy9/S8Gn\\nXutxq5VPW9Xjns03ttsnRh++iG9/L2IWPjt0MVgHAsBqI+FRV6IPyuIvIg4dxZLpcfZ4/+TJvxBp\\nj7xjGWwLLIvDfZPSII+W4EsQxjCLDHEC00gwnmVXUg+w0Tbs9iDKQyDIoYJgpWEYjxXjWfaDaoHh\\nL3/Bx6r6mT/3nA+sDuj4i5sRvigq+WhMctEJSZdNJCjFgeVQigPZcFFxYDQa8Tf/5t9kZ2eHtbU1\\n/vpf/+sEQfDc7/21v/bXuH37NgCrq6v8jb/xNwDY3t7mV3/1VxmNRrz22mv80i/9ErZ98kJPKQ6U\\nlJyRarVKo9EgDMNrt4K+KEIIarUajuNcq1YDY+Dbj32+dr+WWRl9JzAYnbAztMnSXf04Wn5MFMMg\\np95929J0Cm01gE4tXSk++posmRrHSQH9iUWYFFOpYUnD65sJWjgk501ZMIbpjAulVxTBSi3ic+/P\\n1tlcSvnUZOhb9yy+vW0hzzAZ2d5LePj45MnCzU7M3e3sRSLHMtQqKlNTPikMGy3Fve38zqf1lmav\\nTy6xinlUELQCQxwpBjm1TH3hUx71lRp5XJM/dmsP9xh/jqNtAfMB+lER4LJEJQshDh/LphQHlsN1\\nFwd+5X8r5jz7L37+YufQb/7mbxIEAX/1r/5V/sE/+AeMRiN+4Rd+4bnf+8Vf/EV+4zd+47mf/8qv\\n/Aqf+tSn+OxnP8vf+lt/izt37vAzP/MzJ27zco9MSkouIdPplO3tbYwxrKys4HmXf/Uva4wxjEYj\\nhsMh9XqdIAguxSDioggBP7w54ac/2KPqZjMY6Y4E+xOHlTrc6ujDEuG86E0cprHNZivGtrL3yEiU\\nZHvo0vQ1naAYUag7thmFklvtkBuNkJUgxhjB7tBhe+AUJgwAKC347gOHe481FRliibO/x1U7ufTC\\nAMCP3hpd6O8ty8LzPIIgoNVq0el0aDQaOI5DkiSMRiNuNbo07bOVYHeaqanhSTzsOtxey35CESvB\\nLJK0guzOLW0Ej3sWr67nd23Y7kk6DQ7jWbPk7rbFG7eyfc7eSCBti3Y9n/fkn3wl5NHdYebXY9dS\\nuJZBCIHjOIeLCZ1Oh3a7TaWStjRMJhO63S7dbpfBYMB0Os2lVeC8GGPQWl8Kn6XL8p6UlCyDt99+\\nm8997nMAfO5zn+Ptt99e+G+NMXzzm9/k05/+NACf//znF/r7y++EVFJyCTHG0O/3mU6nNJtNKpXK\\nS2lYmCQJ+/v7VKtV2u024/H4WiQ7rNVjfu5Huvzhuw0eZeQm358I+ghqFU3Njdkd5RdHaBDsjFw8\\nR7MSxGz1s69aGM7S28eNVratBrWKoeYZLKFApD3cs1gyiSSP+pXU/LG2/FirKJF8576k4mheu5Ew\\n04v7I+RR3p01N5szVs7wPp/UIx1FEZPJ5Njr48fvjPndP7fQC/aC27agEUj6w5Ovtw/3HW6vJdzd\\nyfY8m8WSmgVBVTOaZvPcxgge71vcXlfczamCYKcvWW1oeiNDmLHp33vbFq/fyraCYDgR+BWL1ZZi\\nt5f9e/L2N2IG4z4f+lADtZBPxOm0a4JOp5OaQx5UBEwmkytbXWeMQSmFEOJKxR+WlJxGkZrTl7/8\\n5cOv33rrLd56662F/7bf79NutwFot9sMBi82O43jmC9/+ctYlsXP//zP88lPfpLhcIjv+1gH5r+d\\nTodu9/QklVIcKCm5AP8/e28eJVd93ft+zjl1ap67W61uDQgBQoCEAAFikIwRAmxAGPCEsR24yY0d\\nx479nGs7rPsez07Iu5fcxDfv4lzj4BUHXsBA4hiww2AbbMRgMRsLEAjNQlOP1TVXnfH9UTpFdavn\\nPlVd1f37rNWrq2s6p6rPtL977+/WNI2+vj7C4TBtbW3z1rCwWCxSKpUIh8MEAgGy2WzLlwH6VJsP\\nrUjzzpEgbx4Muda3XNRkipoXVbFpD2uk8gploz49/GVDpmx4aY/o6Aak69Bq0JdV8SgWXXGNo2l1\\nUq0GimwT9pn41EpPtmVLaEZlHF1JlynpUBm2djy6KdOT8RH2m3g9Jv3Z2T2NlXSZd96XCfkMlnba\\nFA113G1FkSxS+eY2IpSwWdU9etWAJEnHCQFAtSS6VCpNqzR6w8kZnt7hweOd3P8zmZhYHAA4MqSw\\npMPm/b4prc6E5EsysWDFJNCtCSU2EkdSCks7DQ701CcQ68/ItEUtMjmbkssCwYFeheXd7noQFEoS\\nllehM2nSM+i+QLBjr0kuP8QF58fQrZkfh/1KmcHBvAtr1lzMpkggKgcErc4dd9wx7uO33347Q0ND\\nx91/4403TnoZ3//+90kmk/T09PBXf/VXLF26lGBwet4qQhwQCFwgl8tVqwiSySTZbBZdn/3sZiOx\\nbZtsNouqqkSjUTRNI59v7YskWZZYc4LOorYiW94NUCi7d3GqmxL9OW+l3zimkS/JdRtrN1RUkbDp\\nSuj0ZxV0l8vwK60GPmJBA0WyGMhVgt+AahL0WXiPFS7UVgHkNJXc5D27jiNXVqCs0BHRKekfVDLM\\nFvmywjsHIBo0WNxukzdURqvW8MoGtt3crUgnthcJ+81qabQjBCiKUs2IGobhakZUluFDJw/yzK42\\nvN6Jg7RoWEb1MKELv21L9Kahqw2ODLgbZKQLMsmwiWHZrhkI2kgcHvRwQqfB/joJBAMZmWTEQiq4\\nJ2w4HOirCAR7D9uuCaolTcK0FLo7LA67LPIAHOq1eXrLEJd9KIpuz0y4C6ozOKi1AKKSQCBwn9tu\\nu23Mx2KxGKlUikQiQSqVIhqNjvq8ZDIJQGdnJ6effjr79u1j3bp1FAoFTNNEURQGBwerzxsPsWcL\\nBC5hmiaDg4Nks1lisRiRSGRO9OFPFV3XSaVSWJZFMpnE663/XGk3kGUZr9dLKBSqijzxeBy/38/C\\nuMlVZw6xMOp+y4RlSwzkvJQMhQVRnXigPuWnNhJ9WS9ej8TCmAYMD5RkyUZVLAKqSchnEA0YxIMG\\nbSGdjojOgohGZ1RjYUyjK3bsd7zye2FMozOqE1BtPB6JroTB4qQGksxQ0Utv1ktvxstgXj02LtK9\\n/WIgr1I45rGg1sFjYapkCgrbD3jIZnRCowQK+TpMUnATVbE5f4Vc3f69Xi+WZZHL5RgcHCSVSpHN\\nZikWi66XSvtUOH/pEIYx8f9RkiQS8cl9l6Ylkc5DW8T97WMwp9Aeq1TDuIfEoUEPJ3TWb3sezMqE\\nAhD01cGDoE9hWbdUGQfpEroh0Z+RWdLp2lsOYygL//GrDF5pJqK+Tdjbmu0DU8URCRqR1ReVA4J6\\nYFt2Q35myrnnnsuWLVsA2LJlC+edd95xz8nlctWEZCaTYceOHSxevBhJkjjjjDN48cUXAXjmmWc4\\n99xzJ1ymmFYgmJM888wz1Z2hq6uLm266CVVtXCmvJElEo1H8fj+5XG5OjfybCrIsE4lEAJrKk0FR\\nlGGjo2RZxrKsYY7Ro7VF2DZsPxzkrUPutRmMRixgIGHTnzuWcrdtPIqNLNsoUiUQkaVjI9FkuzqL\\nHemDtXIO7LYtYdtg2Rz7LWFalffwq5USd8OS6jJ5QMImHjLwyDbpglL3EYhej0U8YNCT9tT1/zMV\\nFsQM2uISBV3FJxv01nHUpBusXlzk1M7crO6rBwZU3huMo8jj/w/LZYt3dk0+mAt4LSQsMgX38yIL\\nEwaH+t3ej2wWJw321amCACARtiiWqcvYwCUdJvuO2K5+J7Jk091msf+Ia285DEmCzZeFwDs5/4ta\\n/B6Ds7uPLw2eD9Rz/KGmze1qjGZlrk8r+LufNuYc940bZnb8zmaz/P3f/z39/f20t7fz53/+54TD\\nYXbv3s2vfvUr/uRP/oQdO3Zw9913V69lr776ajZu3AhAT0/PcaMMJ4qHhDggmHMMDQ1x5513cuut\\nt+L1ernnnns47bTTWLduXcPXRVVV4vE4lmXNiT786eL1egmHw5RKpYZ6MtT2R482Q9oxjJpqZqIn\\no7J1d5TSNINdCRuvx8KrWJUZ6JKNJFVEC9OW0DQLzZDwqyaDOQW9js72AdUkFjRJ5Tzo0x3NNyls\\nYgETr8ciW1LIl+snFET8Bh75g/aGZqArqRMJQG926kFHo/CrJlec3o+nCWoK3zoUoLc48RSUnXs1\\n8oXJ77+RgEW5bFHQ3P+Qi5IG+3vdf9/FbQb7jtZP7IqHLEpafQSCxe0mB47akzbrnAwSNks6LPbW\\n8ZL08vV+AtEgU6ly6o5bLE+k5+15HqhLu4EQB2aHuS4O/I9/b4w48K2PN8EJdYoIzwHBnMTJAiuK\\ngqZpxGKxWVkPXdfp6+sjFAqRTCYpFAot34c/HTRNY3BwkGAwWDdPBmd++lj90W6WQXdGdT6yapCt\\nu2P0ZCptE7Zt4/PYqB4Lj2wfy+5Xnm9ZYFgSuimhGTKaKWFoCoUxTPecjq+8phAP6gwVqNtkg6Ku\\nUEwreGSLjohGrlSvDL80zBAxETTwqxa5suy6X4DzfguiOgVNIjdbpfy2RTxogG3z/lEFj2LTvcCg\\noDfnqfe0hfmmEAYAVi0qsnW3hxKBcZ/XFlfIFya/X2eLMomQjWHZaC75BDgcGvSwrFNnX4+729vB\\nAQ/LFtZPIBjKy8RCFpJkkyu6u4yD/QpLF7orENhIHOhTOGmRyW4XpyPU8qvnS1x4tsmCrsikq5AC\\nSplIJFJtw2mWSrlG4rQbuFVJIFoKBILGIyoHBHOSLVu28Nhjj6GqKitXruTzn//8bK8SiqIQi8Xw\\neDxkMpl5Z1jo4LQa2LY97QsoRVGGuaU7pVROJcBYbQFuY9uwq9fP24dDFDS5LqX5AFG/Qa5UERbq\\njYRNe8TAMKW6TDcYjZDPJOQzKZRl15cpSzbtEZ3+jIJR18qID4j4DFTFZDArUxyRoY4FLeJxFc1s\\nLu+BqN/gspUDNJNNim3Db3bEkdSxfUtMy+btHRpTPYy0R036hyqindssatPZ77JAAPWvIIgGLQyz\\nMkLQbepRQQBwUrfEe/vr1+e/eoWHk0+JTGrU4arOISI+o+pdYxgGuVxuXge4siwjy/K0vwPbtuft\\ntdJsM9crB/7mJ40R7/7iE02iuE8B5Tvf+c53JvvkbDZbx1URCNyhUCjwy1/+kq997WtcccUVvPrq\\nq1iWNesHOtu2KRaLmKZZFQnmY7mcbduUyxVjP8d1dbyMvsfjwefzEQgECIVCBINBVFWtXjQUi0UK\\nhQKlUglN0xpmkgSV/tS2sMGihEa64Kk46NeBsiET8ttgWw0IcCUKmkJJl4kFDcJ+k2JZpp5Ro27K\\n5MsKmikT8pkkQwZej0VJl5mpeaGNRL6s4FMr/6t8eebvORoB1SQW0DF0i8GcTLYoY5jHL6esS/hk\\nE9VbPzFpOpyzNE3E31zl0JIESxIldvf6UJTRt3tZkihrNsXS1Pb5QlmmM2GRK4Lb20O2qLC4zSDt\\nsrdBpiizdIHFUK4+201Zl/D7bLyeym03yRRkFi+AXMFdD4JUFk7shqGMTT32694Bi1JeY1G3F2sc\\ngUDC5sRkHkmqmBOXSqWq95Asy66bd7YKtm1jWRaSJE27kmA+VmA0A45f1Fzlhe2NuU5cf3rznOcn\\nS+vJGQLBBLz33nskk0nC4TCKonDmmWeyd+/e2V6tKqVSid7eXkzTpK2tDb+/eXuQ60m5XGZwcBBZ\\nlkkkEqiqitfrJRgMEo1GSSaTJBIJAoFKWXGpVGJoaIjBwUHS6TSFQgFN05riwiHiN7ns9CEuWJ7B\\n66nP+uRKCn6fTNDbuABuqOChL6sS8FVaDhSp/ifToqbQl/WSLqoEvDYLYxptYR15hssu6TK9WS/x\\nkEUi5M6FuqqYtIXKBD1lBjM2B/s9ZIoTC0S9aRnJ0Fx1c58J7eHKBIpmxKPAxctT6PrY+1VbYnqi\\nXM+QhyXt9dlfjwx5WNTu/r56cMDDsq76bTfZgowsS8RC7i/jUL/MogWyy5MdYH+PzLJF8oyPEWOx\\n77DFs8+nUaWxjxtB1WSkf6ZzjrMsi0QiMe2Z43MBy7KmJdzP56oLQX2xLLshP62IEAcEc454PM7+\\n/fvRNA3bttm5cyednXWafzRNbNsmk8kwODhIIBAgHo+jKM1VZlxPFEXB5/MRCoVQVRVZlonH44TD\\nYSzLIp/PHzc2bTrGgY3mpAUlNq8Z4IS2+kynyJVkPKpCNNDYDG++rNCT8SJJNguiGj61McsvGzJ9\\nWS9DBRWvpyIUtEf0GQUX6aKHdFGlM6YTmIbQIksWyaBG1Fcml68IAgPZY1MlpsD7ffKoow4bj83q\\nRc1dFRjy2ZzVlcIwRv+/h4IyPu/0sjOHUyonLHB/e7Ztif6Mh4UJ98WHg/0eli2so0BQrMw/iYXc\\nX/fDAzKLOmQ8irvrf6BXZkmX+8KDQ/+QzRNPp1EZfZ8N+cYufS8WiwwODgKVWeTzNSEAFZHAsqym\\nP5cLBPMZ4TkgmJM88cQT/O53v0OWZRYvXsyNN96Ix9OcJmAAoVCISCQyJw0La70BnGkBpmkO8wdw\\nsv9+v59gMFhtE2hlDqa8vLI3QkFzX/TxqzaqYpOqU3nxRMiSTVtYRzPcNxMciSKZBFQLj2xh21DW\\nQTMkVNlCkkH1gCxV2gcMq2L2WNJlJGli7VuRbdrDOr0ZD+Z4vefHjAUl26Y/q7hqZLdyqU267HPt\\n/abKCe06l6+BfD5fbfdpVnb3+tiXjiKPMuKwp9/gSM/0g/zuhM6BPvf3VVWxCflN+tN1mGLQbrDv\\nSP2OASG/jSxZDOXqsO4dEgd7DAyXdZmuNouj/RaGy2aTDh7F5prLwlie4QH+8mSWzvDE+48kSYRC\\nIbxeb0vsc/VkMpMNTNOc19MfZpPZbsWtN//tocZsV//1062X+BPigEDQJMiyTCwWQ1VVstlsy/kR\\nSJI0TARwxJhaEcAwjAkzBs7Fk/M9tHKvpm5KvHEgxM6ewKQdryeLqliEfNCfmd1+tmRIR5JgMOeZ\\nkTu1hEVQtfAoJmCj6xK5skS+NLpHQEdUpzetjPqYLNmEfBZ+r43PK6OqSmWCiWGjmTIlXcauKZwL\\neE3CXpOezPAKgLDPwKeYDOZkCuX6FdqtPMEmXWq8QCBLNpef1k/YbxMOh/F4PE2/z/1uf5AhI3zc\\n/bpu8/Z7Mzlm2iyMGxzsr4eYVxG3hvLub0NL2gz21tGkMOizURWLwaz7674weSyQH8WbYyZ0JmwG\\nUqbrvgm1fPSSAGrogzaBMxemCE2hEkmWZUKhEB6Ph1wuN69N98YTCYQ4MHsIccAdhDggEAhmjM/n\\nIxaLoes62Wy2KcvvnGkBTlWA40ZcKwLMNMDweDxEIhF0XSefzzfl9zBZ+rIeXtoTdd2J3yNbhP0W\\n/ZnZP/lE/AZBr0V/Vh1fCLEtAqqFz2MBFrohUShL5ErylJ3Mu+Iah1PqlNdVwibgswl4LbyeSl87\\nSKgem5IuIUs22YJEutCY71WWbE5ZIpEpj+3KXw9O7shz5uJc9W9FUVpiFNuzO6OY8vGl2XsO6GSy\\n01/nSkWMwZGU+//3kN/CNC1yxdarIAj4bLx1Egg6Exa9g5XjgJu0x2yyWZNCuX7fy4fO85LoCCNJ\\ncP7i6U36UBSFcDiMJEnkcrmmFubqzWgiQW1loaCxzHVx4P95sDHiwP954+xfn00VIQ4IBE2IJElE\\nIhECgQD5fJ5isThr61IrAoxsC3CqAup58nZaDVq9BNO0YPvhIG8dCrk6zkuWbGJ+nb7s1IPkeuBX\\nLWIBg3TRg4yNz2MiYWOaUNAkskV5/BL+KSBLNpGAwVDePdHFI9vEQuYxH4HG4fXYLO1SyGuNWa6q\\nWFx5ej9ez/GXAF6vl3A4TLlcbso2J9uGp99NoHiHb/PpjMne92coSio2EZ9JX8b9QDgWtMiXbEqa\\n+wHrknaDvfUUCLw2fi/0p91/7864Re+Qhe5ypj8RsSmXzLqMZnQ4+zQPZ6wMcEZnZkbv4/F4CIfD\\n1RG/8zlbXisSCHFg9hDigDsIcUAgELiKx+MhHo8DkMlk6nrBIEnScf4AMPW2gHqtmzN9IpvNtvSF\\nU7qo8NKeCH1Z97LEkmSTCOj0ZppDIIgHNDTNJlOQKRv19b2NBEwKJcnVefU+j03QT8M9HcJ+i442\\nlZJR/4uJVd1ZVnQWxn1OIBAgEAg0pQeIpsNvdrXh9X7wXdl2pbVgpslXn2rhVUxSOff/D8mwSSqH\\n65lygMVtBvvq2GIQ8ELAa9GXdn8ZC+IW/UMWmssCQTRoY5uma+MfVY9NMgptUWiPQVusMkqxI+7K\\n26OqKuFwGMMwyOfz8y4wrm1P9Hq9WJZFKpWa7dWal8x1ceD2BxpTpXPbZ5rX72wshDggELQAwWCQ\\nSCRCqVQil8tN/IIJkGV5mAigKAq2bR8nBDQbzoWTpmlNmdGcLLYNO3sCvPF+CN10J3iWsEmGNHrS\\njS1NryXsM7BNk/5jWfcFUZ2jQ/UXLBbGdY6k3D0BB70WsmSTKzdW9U9GLEJhL4ZVP1EloJpccXo/\\nyiQWUesB0my90emCzEsHkqjqBx/k0FGDvoGZi4dBX8VVvR5tAAtiJj0pXKugqaUiEMBUp2dMFp9a\\n8fPoq4PBYkfMYjBtue4VEPLbqLLJwCRFDZ96TAA4Fvy3RT/4HQ0xrfaBqeJM83HOda3cVjcWjhDg\\nXIuoqookSei6Xv3RNK2lkwGtjBAH3EGIAwKBoG7Iskw0GsXr9U7JsLDWINA5+VqWVRUB6t0WUA+c\\njGYul2s548ZaCmWZV/ZFOJhyz4yuI1zmyFBjBQKvYhJUDY6mlOP8BholEHTGNNeXE/abGMemHzSS\\nrqSJ7PW72n5Sy9ql6SmP23R6owGy2WzTHDMOpVTe6YujKJXvqlS2eHeXOwJGNGBSLNsUtTqY8SUM\\nDvVL2HX4HzdCIAj7LXqH3P9e2mMWQ2mLkssCQcBrE/Sa9KYq7+v32qMG/20xiAQneLMG4rTVlUol\\nCoXxK32amYmEAE3T0HVdCAFNxFwXB/7q/saIA//3Z4U4IBAI6oxjWGgYxrCL9FKpRCqVYvny5dUT\\nMDDMG2C22gLqgSzLVSOnZgpWpsP+AR+v7gtT0t3JUneENY40ICCXsEgGdXqGFPQxHMe9nkoGvlDn\\nDLyqWHgVy/VMfzxkki9JrlV4TJZlnRZlfLgd4MUCOhtPHZx29tOp3mkmo9B3Dvs5UohUp2W8t0ej\\nUHRnvZJhk8EcdRmNtyhpsL+3PtvVknaLfUds6vXf8XpsokGLnlR9KghyBQvTAo9cMQz1KODxOLdt\\nVAUU5YPH1JrbHsWuuf3Bj9dTMVdsi0Io4Ppq15VgMIjf76dYLM6qB9FkkGV5WIuiEAJaEyEOuEMr\\nigOtt8YCwTynVCrR09PD4OAgR44cYd++ffT09OD3+1m+fDknnngihUKhKdsC3MSyLDKZDF6vl3g8\\n3tKZlRPaynTFNF7fH2Z338yvWvtyXrri9RUIEgGNTAEODox/GtEMmfaIQaFsU69MJoBuysRCEnnN\\ndjUbO5RXaIsYpHJS3TL5o7GvR+aURWVyxvGu/DNhVXduRmXRuq6TSqUIBAIkEommCFZO6y6R2eOh\\nYFdSvm0JhULRnePfYE6hI2bQW4c2gEODHpZ1GuzrcT/Afr9fZlm3xb4jVl2qEzSjMmHkhE6TYllC\\n9VSCb9VjD7+tgFcF1QOqYh+7v/LYB7chFvETCfsxtAKm0TytK81CoVCgWCwSDAZJJpNNY9A7kRBQ\\nKBSEECAQtBiickAw77Asa8yZus3I4OAge/bs4dChQxw6dIhcLkc8HmfRokUsWbKE008/nQULFpDP\\n5+e8IDAeTmYlm802VV/0VDmaVnl5b4RsaebabUdY4+iQZ/zRglMk7NOxTavqKzBZFsZ1Dg/Wv5qh\\nK6HVZTkLYga9aYV6ChyjsXKpTbrsTtvJgkiZ9ScPufJe8IEfgdfrbYoWn9/siIHHh2navL1Dw3Ix\\nbb4wfqwNoA7//0VJnf299amsWdRmcKCHaQkEAa9NNGQTC9nEgsduByt/R0M2kYC7/fe1/hb5fH7W\\nt6dmZba+p1ohoHZ6UW01gBAC5g5zvXLgL+9rzHXitz/XHEbRU0EfbamQAAAgAElEQVSIA4J5Q09P\\nD5FIhGCwkl1qFZHgrbfeore3l0WLFtHd3U0kEjnuObWGhc1S6jsbyLJMJBKpjoNq1VYD04JtB0O8\\ncyQ446xfW1ijN+2Z8fuM5yswGRTZxq9aZIv1NvizaYsY9GfcL4xbGNc5OuShkQKBhM2pJ0ikSzP1\\nkbDZeOog8aD7AqKz3wGzOobNsuCpHUlUr4f9B3VSaXf3/+6kzoE6BfHdCZ0DfXUSCJIGB3qHCwSK\\nbBOtBvwcLwKEKpn92cBpGZNlmVwuN69F7/Go/Z7y+byrorgQAgRCHHAHIQ4IBE3M7bffztDQEFdd\\ndRWXXXYZUBl9JTXCergBOIaFPp+PbDbbFCWHs4Xj9NwMJc8zYTDv4bW9IQYL6ozc65Mhnf6MMq2y\\n+Mn4CkyWRMgglZveekyFgNfCsuy6GAl2J3QOpxp7sldkm5MWy2TL01/u0mSRc0+Y2Sz2iWgGP4KC\\nJvH87jbKOuza5/7FX72CeEmyWZiweb93eq9XPTZ+1canVsz2/KqN3/vB3xG/hU/9IOsf9jfGdX8m\\neDwewuFwZWpEC4u99abWLHQ64lzt9CIhBAgc5ro48O3/rzHiwF/+gRAHBIKm5LHHHuP999/noosu\\n4he/+AUAn/vc5+jq6prlNXMfpwd/pGHhfMQpec5msy2bfSppEo+/EcO0IOizQZYo6gplY2oBSiKo\\nk8opGFPom3Z8BXIl94KhxW0WB/rqX7HTEdXr1gawuM3k4EBjRxwGvBbdCzwU9Kmnc2XJ5orT+wl6\\nG3MscBzWZ0uc688q/O5wkvf26mia+wJFV0LnfZcEAtkx3JPtyhQAn0lJ51hwX5kMUAn2ORbsV+73\\nqzY+r01AtfF5mdRYylbF6/USCoWaygSzGXHEud7eXnK5HIlE4rjnCCFAMFmEOOAOQhwQCJqQI0eO\\ncPfdd3Pttddy9tlnA/D4449z6NAhPvnJTxKPx2d5DetDOBwmHA6Tz+db1qjPDRRFIRKJYJomuVyu\\nJS8si5rEY7+LMVT4IDAMek0iAQtFAc1UyJdlkMaPEGIBnUxBntB5P+wzsEyTgSn6CkwGWbKJBExS\\nufrXLHfFtbpl+Ze0w/v9dXnrMYkFLeJxFc2cWmC6YkGeVYtydVqrsQmFQvh8vlnxI9jb7+WlXSGO\\n9M5EEKmU1vtUe9iPX7UJqCY2laC84pxvH3PWrzjlKzL4VAmfz4PPqxDweVA9EhImkm2A84NVHc1a\\nKBQolaY2YnI+MVfG+tWbI0eO8NBDD3HSSSfxkY98hHg8PkwIqBUBhBAgGIu5Lg783/c25pz0Vzc3\\ndrS0GwhxQDDnueuuu0gkElx77bVVv4F0Os0PfvADNm3axNq1a+dUe0EtiqIQj8eRZZlMJtOy2XM3\\ncFoNWvUCvFCWeOyNGOnC6EG1qljEghZe1ca0JHJlDxbHiwARv0GhJFE2jn/Mp5gEvSZHUgr11FAi\\nAZNsUcZy2f19JBUhwmAo774QIUk2XUk4PNDY48aCmIU36MWcZJuJV7G48ox+VGV2RLHavuhsNtvQ\\nQOStgz62bPPh9dijBvg+1cY3ymOVx8Gr2siT/Pd6PJ7jsrGmaVZHyOq6Pq4w2Wzmjs2MYz7bqsfy\\nejCyIkBRFLZu3cqjjz7KWWedxcaNG1EURQgBgkkjxAF3EOKAQNBkbN26lS1btvC5z32OxYsXAx8Y\\nEf7zP/8zgUCAG2+8cZbXsv4EAgGi0Sjlcrlls+duUOvy3IqtBvmyzGO/i5GZhKmfLNnEgiYBr42N\\nRF7zoB8LKMM+g7IGRb3yPm76CkyWRk0viARM8iXJ9TF0UPECSIQt+jONbTFY0mFiyv5JGUOeuSjL\\nyQtmP8vq8XiIRCIYhtHyx6BaEcARAgzDqIoAhmFM+/MJM77JMZ/FlJFCgKqq2LY9rBpA0zQsy8Iw\\nDF588UVeeOEFLrjgAi6++GI8HjHFXDAxc10c+L/uacwx469vaT1xQBwhBHOWQqHAb37zGy6++GI6\\nOzuBD4QB0zTZs2cPmzZtGnb/yNtzhWKxSKlUIhqN0tbWNm8NC50pBk6g0mo9rCGfxdVnpyclEFi2\\nRCrvIZX/4L6IXyfktyp9zn4JWQavbJLOw8GBxp4Ojg55aI8YUx6JOFWyRYWFcZ0jKfeXY1oS6bxM\\nPFSf6oSxeL9P4aTuMgXTP+7zQl6D5e2zLwwAGIZBKpXC5/ORSCRapjR8ZH82UBUBSqWS62NTLcsi\\nk8kIM74JcI7ljpgSCoVaUvCdCEcIqN0Oa4UAZ5ThWNuHx+Nh/fr1nHfeeTz77LN873vf46tf/SqK\\n0lhBUyAQtA5CHBDMWR5++GFCoRCXXHIJULnocloHfv3rXxOLxTjxxBOBygl4aGioWoI/FwUC27ZJ\\np9MUi0VisRh+v3/eGhY6gYrf7yeRSJDP51tGLAn5LK46qyIQZKdoFJgtKcNeE/KZmBLky7NxoShR\\nMmRUxZrQA2GmHB1Sa8YQuotuSpQ0mbDfdNW4cSJ2H5Y5dUmJjDa2QHB6d45mO4yVy2XK5TLBYJBk\\nMtk0+54kScdVBNi2Xa0IKBQKDQ08DcNgaGgIn89HPB6nXC5TKBRaRshsFI6Y4njLOKJBK5bPTyQE\\n5HI5dF2f1jnb5/Nx+eWXc+mllwphQCAAbEscS8dCiAOCOcuiRYv4/e9/z89+9jOuvfbaarC/e/du\\nfvvb33LeeeexdOlSnnnmGfbv31/N1tx4442juvzOFTRNo6+vj3A4TFtb27w2LCyVSpTLZcLhMIFA\\noOE90dMl7Le46lgFwUwC0nxZQVVkuhImR1KNjyILZZnOmN6QZQ/mFMI+k1wdhJCSLhOSLQJei6LW\\nuO9xx/syK08oky75jnssEdRZHJ/9oHssnH7xUChEIBBoaAm9JEnH9Wc7QoCu6w0XAsbDEVMCgQCJ\\nRKLlx7PWC9M0GRoaQlVVotEohmGQz+ebVvxWFGWYGOWmEDAeoqVAIBBMhPAcEMxpBgYGuP/++8lk\\nMpxzzjns37+fAwcOsHr1aj72sY+xa9cuHnjgAf7oj/6IBQsW8Nxzz7F7925uvvnmYVMM5rJhYSwW\\nQ1EUstms6yWyrYQzBkrTNPL5/MQvaAKyRZn/+F1sxpl/CZsFUZ1Dg7Nz4dgR0elJ199/IBEySOVl\\nbLs++3IsaFLUJLRRzB7rhSzZnLJEIlMe3te44eRBOiKtsT/Xs4ReluVhQZgjBNQaBbaCIAjzu89+\\nqjgGtM1QcTGeEFA7OaBZhQzB/GSuew78139qjHj+3/7oePG+2RHigGBOYts2tm1XqwW2bdvGwYMH\\nkWWZWCzGhRdeiG3b3HbbbeTzeT7+8Y+zfv16AO68804++clP0tXVNew969lqUCgUeOihhzhy5AgA\\nn/nMZ6otD43A7/cTi8XmvWEhUB0r1ioX37mSh5+/Hq2MMpwhnTGNw4NK3YLnsfCpFrZVycDXm664\\nzuE6+A84JMMG6YJSFwPEsfB6bJZ2KeS1yudaGC1z0UlDDVu+W9QGdNMR6EYatTktYrVGga0iBIyH\\nMC2cPM7xvFEVF0IIEMwVhDjgDkIcEAiajPEC+tdee42XXnqJT3/60/zoRz/CsixuuOEGfv3rX7N+\\n/XrOOOMMenp62L59O+vXr0dVK5lNZ5dxs5Lg/vvvZ/ny5Vx44YUYhoGmadWxi41CkiSi0Sh+v59c\\nLjevR0Q5F9+SJDWVL8NYwU/fkMm//Val4IJA0B7R6c/IGA2aWuDQETXoqYMnwEgkbJIRg/5M/ZbV\\nETXozyiTmibgFmG/RUebStmQuWzlANFA6wbBkxlVNzIIc/aF2oqAZtlv64UwLZwckiQRDAbx+Xyu\\nelwIIUAwl5nr4sCtP2zMNe4dfzy+cXAzIpqPBHMaRxhw2gJqA/vu7m4kSaKtrY1vfvOb/PrXv+au\\nu+7C6/XyxS9+Edu26enpYceOHTz99NNcd911nHvuuUiSVDU3fPvtt1m0aNGwFoSpUiqV2L17Nzfd\\ndBPwwbzsRuMYFhYKBeLxeNWwcC5k2qaKY3Ll9XqJx+Oz4qyuKMqwi05nbrpjkFYsFqsXnSpw1VkK\\nj/0uNuOe9/6sSixoUCjbDe2f78t46EroHEnVt73ARqJQVvB5LMp1Kv/vy3hqDBAbIxDkSjLejM5p\\nS82WFgagUklVLBarXiCFQqFqGOgIAc6+oGkahUJhXgZgjmmhc5xqhhL6ZsS2bfL5PMVikVAoRDAY\\nrPb0T5ZaIcA5LtcKAc7kivm4HQoEgrmFqBwQzFtyuRwPPPAA7e3tXH/99UAlUM9kMixYsABd16vV\\nAm+//TaPPvoo/+k//adqu8HQ0BB33303Z599Npdeeum0A/qDBw/yr//6r3R2dnL48GGWLFnC9ddf\\nj883u6VIoVCISCRCoVBomR78euFkMuvlyzDe3HQnCzqZQ3UqXxEI3CjPD3hNFCyGCo1ztlYVG1Wx\\nGuL63xHV6U3XV4TrTugcrrPYARWvg2ULdE5coNOVMJBb2B7FEcVqKwIcQdYZ2yaC39FpdAl9q6Io\\nCuFwmFdffZVoNFoddVz7+MgRlqIiQDDfmOuVA39xd2OOkX/zhUBDluMmonJAMG8Jh8N8+tOf5r77\\n7uOv//qv2bBhA+eeey7BYJAXX3yR3bt3A3D11Vdzxhln8PTTT9Pb21sVB55++mm6u7s57bTTZpTp\\ntyyLgwcPcsMNN7Bs2TJ++tOf8vTTT3PVVVe58jmnSz6fp1QqEYvFaGtrI5PJzFvDQqe8uXZU1nQu\\nDMcal2aaZnVuumEY0w5+EiGTq85K8/gbMxcIipqCR5HoiBr01bEEvxbdlIgEbPIlu+4l+X0Zle6E\\nVtfg/XBKrYtAIGHTGTc5cYHGsgU6yXBrBinjiWIj9wWv10s4HMbj8Yjs+BgUi0VKpVJ1TGSr+KY0\\nGtM0SafTBAIBfvrTn9Le3s7HPvYxOjs7q8dkRwQQFQECgWC+IcQBwbzFsiyi0Sh/+qd/yjvvvEMu\\nl8Pv9/P73/+e559/njPPPJNsNsvf/M3fcNFFF9Hf34/fX+kdevvttzl06BDr16+vqqvTnWgQj8eJ\\nxWIsW7YMgDVr1vD000+79jlngmmaDA4OVg0LNU0jm83Oywtzy7JIp9PVueMTZefGckmv97i0ZNjk\\no8cEgvIMBQLDlBkqqHQndQ43aJLBYM5DV1Ln8GD9M+69GZV40GCoUL/PdjilutIu4VFslrbrLOvQ\\nWbZAJ+BtrX1wZG82UN0XJiOKaZrG4OBgdaTfeH4E85naEvpwOFwtoRemhcdXBHR0dHDmmWfy2muv\\n8b3vfY8VK1awcePG6nleIBDMXWyh942JEAcE8xbHwEqWZU477bTq/X6/H4/HwxVXXAHA+vXrueOO\\nO1i9ejWnnnoqmqbx/PPPs2zZMpYvX171NXCEgalONYhGoyQSCXp6eujs7OS99947rsxxtimVSpTL\\nZSKRCG1tbfPasNCZOx4KhUgkElWxxMl+juaSXiqVGurd0BY2+eiaNE+8EZtxX72NRG/Gy6I2jcMD\\njTHZ68t4iAUN0nUM2gFMS8JCRpHtuk4XOJry0Bkz6JliG0PIZ7Fsgc6yBRqLkwaexnV4TJtab4Da\\nkuxar4xsNjvt93ey487+N9Xe8fmC45syX00LR2sNcAwrnWOy06KydOlSvvrVr/Lyyy9z5513ct55\\n57Fhw4ZZ8f4RCASC2UZ4DggEIxgaGuKf/umfsCyLD3/4w7z77ru88cYb3HbbbcTjcZ588kn27dvH\\nVVddxdKlS8lms/T09GAYBitXrgSmXkVw8OBBHnroIQzDoK2tjZtuuqnh0womi6qqxGIxADKZzLwz\\nLHQCH4/Hg9frRVEULMuqlp8ahtE0F+D9WYXH34ihuWS81xHR6UvLGA0Y0xcLmqTzMlYDxioujOsc\\nqeN4QwBZsmkLm/Rlx19OW8RgxSKJ009QCKs5DKN5A9+x2mRqRwfWM2Pt9I5DxUNmvh2LpoLTljEX\\nTQsnEgIcr4DJfGZN03j22WcpFots3ry5AWsvEDQnc91z4Fs/aIznwP/4k9bzHBDigEAwBi+88AKq\\nqvLAAw+wefNmNm7cyIEDB3j44YdZu3Yt69ev55lnnmHHjh3VMnGv18vNN99MIpGY7dWvO/PBsHC8\\nnmgn+LFtuzqfvRlLnfsyHp74fdQ1gSAeNMgVccX0cCK64jqHGtBeANAZc6YL1A+PYhPxm6TyHyxH\\nlmwWJY1jhoIakUDllCzLMpFIBKApxmlKkjQsAHPaZGpHB85WcK6qKuFwGF3XyefzcyrwdZtWNy0c\\naVg5UghwvALm+zaQSqW4//77yWQyyLLMhRdeyCWXXEI+n+fee+9lcHCQZDLJLbfcMmoi4uWXX+aX\\nv/wlAFdccQXnn39+oz+CYJaZ6+LAN+5qzASqv/tScyb6xkPUTAkEI3DaAi6++GLK5TIHDx5k48aN\\nADz77LN0dnaydu1a9u7dy29+8xuuuOIKLr74YgDuvfdeXn/9dS677LLq+9WOT5xLOH2tjmFhNptt\\nWfOr8TKgjjnaeKXL5XIZTdOGtRo0S49vR9TgI2dmeOL3UXRz5gH9UMFD0Gvi9ZhkivWtcz+a9tAW\\nNhjI1f9UlcorhHwm+XL9PpNhShQ0mfaIQTJicuICnaXtOt5RPp7jcaGqasPH1I3ml1HbJlMul5sq\\nS6/rOqlUCr/fTyKRaNnAtxG0kmnhREJAoVAQQsAYyLLMxz72MZYsWUKpVOK73/0up556Ki+//DIr\\nVqxg06ZNPPXUUzz11FNce+21w16bz+f5xS9+wZ//+Z8jSRLf/e53WbVqVdNWMwoEAncR4oBAMALH\\nL8DJCN9www0AvP766xw6dIjNmzcTCAR4/vnnaW9v5z/+4z8YGhri6quv5oILLuCZZ55hw4YNeL1e\\nent7WbBgATB1L4JWwLIsUqkUPp+PWCyGrutN39c6llGgkwGdrlGgM8XA4/EQiUSaKou5IGZw5ZkZ\\nfrHNHYGgoCmoDZhkYNsSuiXV3RMAQDNkwmGLgmZju9jKEPJZtEcNOqIm7RGT9qhJNGAxWa1Q1/W6\\nGvHJsjysIsDxy3D2h2Kx2NT7cy2ON0orBL6zSTOaFo70qagVAjRNE0LAFInFYtX2P7/fT2dnJ+l0\\nmjfffJOvfOUrAJx33nn8wz/8w3HiwLvvvsuKFSsIhUIArFixgnfeeYe1a9c29kMIBHVEHEvGRogD\\nAsEYSJI0zDvgnHPOIRqNVkcZyrLMhz70IRYtWsS//Mu/8O6776LrOkuXLsXr9XLo0CH+7u/+jq98\\n5SssWbIEr9c7mx+nrpTLZfr6+ohEIiSTyeqF52yjKMqwC86RgU89jAINwxiWxczn85TLZVeXMR0W\\nxisCwZPbYhjmzINf3ZQZKqp0JbQZO/GPR66ksDDemOkFgzkPXYnpTWaQsImHrGMCwDExIGq6NlXA\\nyfiGw2ECgcC0qlMm2h9aSQgYi9rANxKJEAwGyWazTVXp0CzMlmmhEAIay8DAAAcPHuSEE04gm81W\\nRYNYLEYulzvu+el0elhrZDweJ51ON2x9BQLB7CLEAYFgHEZOIDj55JOrj7W1tdHX18eaNWv4+te/\\nztatW3nhhRf40Ic+BMC//du/AZWxh3fffTcf//jHx+zbm+4YxGbCtm0ymQyFQoF4PI7f729oef3I\\nC05JkjBNE8MwqhecjQx8nCxmbTA32wHKwrjBFasz/HJb1BVTQduW6Mv6WNymcXBAgTpNMjg6pNIR\\n1enL1F8gOJry0B4x6B/HOFCRK+aC7VGTjqhBe8SkLWKi1vmMats22WwWRVGIRCLjBnMjTdpme39o\\nNLVtGdFotKkqeZoNwzAYGhrC6/W63sIihIDZpVwu88///M9cf/31MxrR2OrXJwLBSCxLHHPGQogD\\nAsEkGK0dYOXKldxzzz309vZy/fXXc+GFF3Leeefh8XjYsmULfX19fOlLX2LFihWsWrWqeiE+mhDg\\n/D0XRALDMOjv7ycYDBKPxymVSqNmJ2bCSGdqZ7lONcBEM9MbhRPMOQGKpmmzbt7YndC5fHWGX74Z\\nda1U/2jaS1dCpzct1638v6ApeD2Wa8aKY2EjUdAUfB6LsiHjU49VA0TMY9UABomQxWx2CJmmydDQ\\nED6fj3g8jqZpGIZxnDDmBGDzOSgWfgSTR9O0YS0sU/2uaoUAx7RSCAGzh2ma/OhHP2Lt2rWsWbMG\\ngEgkQjqdJhaLkU6nq9M+aonFYuzatav699DQ0LDEiEAgmNsIcUAgmCbLli3jm9/8Jg899BDf//73\\n+fCHP8zatWspFAr87Gc/4zOf+QwrVqwAYPny5ce9vlQq8c4771TL8S+88EIkSZoz3gROb3Q0Gp22\\nYWGtQ/poRoHT9QdoNE6AEggEmqIXelGyIhD8ykWBoC+rkowYZPI25ToE8EVNpjOmcyRVz33DJhk2\\nWZQ0WNKmkYxYRAPNlV0fmYWFypg6v99PoVAgl8uJ4GsUSqUSpVKJUCjUFPtgM1NrWrhnzx40TePU\\nU08dJlzXbofO71pBSggBs4tt2zzwwAN0dnZy6aWXVu9ftWoVr7zyCps2beKVV15h9erVx7125cqV\\nPPbYYxQKFTf3HTt2cM011zRs3QWCRiAOTWMjRhkKBNOkNog/evQoyWQSr9fL97//fTweD1/4whfG\\nfG2pVOKZZ57h5Zdf5vzzz+eNN97A4/Hw2c9+tuppMJdwDAsNwxhzLFutMdpoRoGzOSrNTWRZJhwO\\nI0nSrI+oe39A5VdvRrFcNeAzsS2rbpMMFkR1jg65116QDBt0JwwWJXW6k4ZrHgFuMFaFTO0+4eBs\\nV7IsN0ULSzMjvqvJk8lkePLJJ0mlUnziE5/glFNOqQoBzthA50cIAc3Dnj17uPPOO+nq6qqKOtdc\\ncw0nnHAC99xzD6lUikQiwS233EIoFOLAgQP89re/5cYbbwTgxRdf5KmnngLg8ssvZ926dbP2WQSz\\nw1wfZfh/fM/ditax+H//7PjqnGZHiAMCwQwYmeXv6enhjjvu4C/+4i9YuHDhmK8rFArcddddrFu3\\njvXr1wPw+OOPs3PnTv7gD/6ARCLB0NAQ8Xi87p+hkUQiEfx+P/v27WPv3r0cOnSIAwcOcMYZZ7B5\\n8+ZhQc9c7oeGSrY3HA5TKpWqGZrZ4EC/ylsHA5R1mbIhUdalGU808Hosgur4ffszeW8ZKGjTW8dE\\nyKQ7qVfEgIRB0Df7Ac1EozSd/WIyqKpKOBwWPfaTwJksYhiGqLg4xmgVAYZhsGfPHh544AHC4TBX\\nXXXVnDs3CQSC4cx1ceBr/yvbkOX8r69FGrIcNxHigEDgMoVCYcJ5wLquc88997B48WI2btyIz+cj\\nk8mwd+9e1qxZQ7lc5oEHHqCrq4vLLrusmjVsNQzD4OjRoxw8eJBDhw5x6NAhNE2ju7ubE088ka6u\\nLjo7O0fte5wvBIPBqnljbSZ4NrEsKkKBIVPWK4JB9Xb1t1QjKFR+a4ZUHQMoSzZtYZ0jKfe33Y6o\\nSc+QzGQMEOMhk+6EzqJkpTpgtsWA2lYZpy/bEQIcEcCNVhm/308wGBQ99pPA5/MRCoVmXahrNGMJ\\nAbXVALUVAbZt8+677/LEE0+wYsUKNm3aNCOTO4FA0LwIccAdWlEcaM2IQyBoUizLmlAYgEp2b+3a\\ntTz++OOoqsqmTZuIRqOsWrUKgNdffx3Lskgmky0pDNi2zT/8wz+gaRoLFy5k8eLFnHXWWVx11VUE\\nAgEAAoEA0WiUUqk0rzOcjjdDJBLBtu2GjBKbCFmGgNcm4J1aubVtg25Kw8SDkgZFXaakSZR0mZJ+\\n7LcmVW9PdbRiX0ZhaYfNgb7jH4sFTRYlK2JAd1InNItigCzLwwKvka0yuVyubiXtzrSMUChEIpEg\\nl8s1jfjUbJTLZcrlMsFgsDqKtRnGj7rJREJAPp+f0MhVkiROO+00VqxYwcsvv8zjjz/ODTfc0MBP\\n4T4//vGP2b59O+FwmFtvvRWgajQMFf+FQCDAt771reNe+5d/+Zf4/X4kSUJRFP7Lf/kvDV13gUAw\\nfax5es05GVov6hAImpiJjASPHDlCJBIhHA5zzjnn4PV6ue+++/B4PGzYsAFFUThy5AjvvfceCxcu\\n5LzzzgMqrsOKUp8e7nogSRJ/+qd/Ou46F4tFyuXyMMPCuXZBPlmcsWuO+3yrZnslCbweG6/HpqKV\\nTy7wNUxGiAbHRIQRgkJZkygeu300BbGQjQR0JbRj1QE6Yf/snPBrPTNUVUWWZSzLqgZgpVKp4b3t\\njtg0mdGHgg+EulAoRDAYbOgoVjcZTwhwplfMZKKLoihceOGFLq/17LBu3To2bNjA/fffX73vlltu\\nqd5+5JFHxq2O+PKXvzyvK98EAsHcQ4gDAkGDMAyDffv2YRgGGzZsACrOweeccw579uzhwx/+MABv\\nvPFGddTQe++9x4oVK1pKGHCYzDpbljVsvrZTXj9fgxcng+lke1s1OJkqHgXCik3YP/ng2bQqokI8\\nGiAQCFAomJRKjREGxhICnIqAYrHYVNuwM/qwdo79bI/UbFYsyyKbzeLxeAiHw00vqNSODnT8KtwU\\nAuY6J510EgMDA6M+Zts2b7zxBl/+8pcbvFYCgaDe2JY4Jo6FEAcEggbhmF/9+7//O9lslquuuop8\\nPk+hUMDr9QKwbds2du7ciWEYdHV18eCDD3LSSSdx4403tqRAMFk0TaO3t5dwOExbW1v1e5mv5PP5\\naquBaZrCLG0UFLny44xdC4fDBAIB1wUVRVGGBV6yLGOaZjUAazYhYDycOfZzuXzeLQzDaDpBZTwh\\noFwui9YRl9mzZw+RSISOjo5RH5ckiR/84AcAXHTRRVx00UWNXD2BQCCoC0IcEAgayKpVq+js7OS+\\n++5j27ZteL1ebNvmyiuvpFwus23bNhYvXsyll15KIpGgvb2dxx57rNoPW8vISQlzgVwuR7FYrFYR\\nZDKZeZE5Hw0n2+vz+UgkEtWSZ8Hx2LZdzfbOxH2+VghQVQASMdcAACAASURBVBVJkobNbp8r3hiF\\nQoFisVgVVHK53LzdzyZipKDSqP1wZFuAEAIaz2uvvcY555wz5uNf+9rXiMViZLNZ7rrrLjo7Oznp\\npJMauIYCgWC6iMqBsRHigEDQQCzLoqOjg69//eu88847GIbBkiVLiMfjbNmyBU3TWLt2LYlEAsMw\\nqmXmmUymKg7ouj6slHmuCQSmaTIwMEAgEKhm7OZz5rxcLqNp2rxrNZgOhmGQSqXw+/0TCipOwOUE\\nX5IkVScFOFniubzNuSWozBdGE1TcCs6FENB8mKbJtm3b+MY3vjHmc2KxGFAZ0bt69Wr2798vxAGB\\nQNDyCHFAIGggtQH9aaedVr1/586dvPXWW5x22mmceuqpQKVc+qWXXmLx4sUsXLiQgYEBHn/88Wqg\\n+MlPfnJOtxo45eLCsPADYzknkBMz7MdnpFN/sVhEkqRqAAYMMwqczz3ZjqDiVKi0qhlmI3AElZkY\\nPAohoDV477336OzsJB6Pj/p4uVzGtm38fj/lcpkdO3Zw5ZVXNngtBQKBwH2EOCAQNJjRMv3JZJKT\\nTjqJlStXIssyhmHw9ttvc+DAAb7xjW+wZ88ennzySWRZZtOmTTz77LN8//vf54//+I+rTsq2bSNJ\\nUxsJ1+zYtk06naZYLBKLxQgEAmQymZbp8XabkZlx0TM+HEcAqA2+AMLhcNW7IZttzGzjVqPWDDOZ\\nTJLL5dA0bbZXqympNXgMh8M89thjrFu3ruod41ArBKiqiqIoGIaBpmlCCGgS7r33Xnbv3k0ul+Pb\\n3/42H/3oR7ngggt4/fXXj2spSKfTPPjgg3zxi18km83yox/9CKhUBJ5zzjnDBH+BQNDciK6CsZHs\\nKaRLDh8+XM91EQgExzh8+DD33XcfF154IRs2bOBf//VfMQyDm266qfqcO++8kxtuuIHu7m5M06xm\\nROcy4XCYcDg87w0LoRIIh8NhFEUhm802fEzebFNbCeAIArZtV7OwTouAg8/nIxQKicz4JJBlmUik\\nMowyl8vNu21rKpimyauvvsqzzz7L5Zdfzvr16/H5fCiKgq7rx/0IBAJBK9Dd3T3bq1BXvvS3Qw1Z\\nzl3fHL36qJkRlQMCQRMwMuu/b98+LMtiw4YN5PN5du3axac+9anq45lMht7eXmzbRpZlfvSjH7Fx\\n40aWL19efT/nsbmEY1gYi8VIJpNks9l5e8HtlDirqko0Gq0a5s1FJEkaloVVFAXbtqsiQD6fnzCA\\nHendILK2Y2NZFul0eti2VSgU5m3rRS0jRSlVVdm8eTMbNmzg4Ycf5vbbb+faa69l2bJls72qAoFA\\nIBgDYUg4NkIcEAiagJHtABdddBFnnXUWAEePHkXX9WEXmy+++CLLly+nra2Nffv2sWPHDj7/+c8D\\nFeEgGo2O2mIwF1oPTNNkcHAQv99PLBab94aFuq6TSqUIBAJzohxcluVhwZeiKFiWVa0EmEkm2/Fu\\nmEnP+HyidtuajxMzRhMCaisCyuXyMIPQj3zkI6xdu5af//znAFx77bW0t7fP5kcQCAQCgWBKCHFA\\nIGgyHMPCQCAAwOLFi2lvb+e5557j0ksv5fnnn2fHjh2sWbOGYDDIq6++yoYNG/D5fLz33nv8+Mc/\\n5tJLL+WSSy6pvpdpmtWL2pF9sTNd1+9+97vEYjG+8IUvuPa+k8ExnXMMC3O53LwKXEZSLBYpl8tV\\nN/VsNtv0Qa8sy8MCL8ews9YssB4l7bVjIuPxuGg1mADHHLR225prEzNGEwIc/5fRhICx6Ojo4A//\\n8A/ZuXMn999/P7fcckvV1b5V+fGPf8z27dsJh8PceuutADzxxBO8+OKLhEIhAK655hpOP/304177\\nzjvv8NOf/hTbtrngggvYtGlTQ9ddIBAIRmO+JpQmgxAHBIImw2kFcDL8Pp+Pq6++mgcffJBt27aR\\nTqe54oorWLNmDdlsFtu2qxUEv/zlL0mn09UpBuVymUAgUP37ySefxLIsrr32WldaDrZs2UJnZ+es\\nBeWOYWGhUCAej+P3++dl/72DZVlkMhm8Xi/xeJxSqdQ03gyKogwLvhwhwGkNKBaLDRczRprwzec2\\nlYlww6m/WZhICCiVSjMWQE455RS++tWvtnylFsC6devYsGED999//7D7L7nkEjZu3Djm6yzL4ic/\\n+Qlf+tKXiMfj/M//+T9ZtWoVCxcurPcqCwQCgWCaCHFAIGhybNtm2bJl3HrrrRw9epRoNEowGASg\\nr6+P3t5eTNOkWCwSCoVYt24d5513HgA//OEPOfvss9mwYQNQKXNNpVKuCANDQ0Ns376dyy+/nGee\\neWbG7zcTdF2nr6+vGuQVCoU5238/GTRNY3BwkGAwOCtBr6IowwIvSZIwTbPq1F4oFJoqqMzn8xSL\\nxaoJXytUXcwWI6sumkmAGo1aIaBWmHJTCBhv2XOBk046iYGBgSm/bv/+/bS3t1dbK84++2zefPNN\\nIQ4IBIJZxxKeA2MixAGBoMmRJKnaHuBcVDneAa+99hq7du0iGo2yaNEi4vE42WyWvr4+XnrpJUql\\nUtW7YOvWrVx44YUkEgngg/aF6fLwww9z7bXXNlUpfz6fp1QqVVsNMpnMvM4EOz3ikUik2m/vdtA7\\ncnSgIwToul41SWyF8j3HhK8Zqy6aEafqwhGgmsHrYiIhoFgsVitVBDPnueee45VXXmHJkiVcd911\\nVdHaIZ1OV883APF4nP379zd6NQUCgUAwBYQ4IBC0ACODeEmSMAyDgwcPoigKGzZsYNmyZTz33HPs\\n2bOHYrFIf38/f/iHf0gkEuHRRx/lzTff5IwzziAajVbfc7oCwdtvv004HGbJkiXs3LnTlc/oFqZp\\nkkqlqoaFmqZV2y/mI07Q60Z//cjRgc52aBgGpVIJwzBa/nseWXXRDEFvM+MIUOFwmGAw2LC2npET\\nLIQQ0FjWr1/PlVdeCVT8Bx555JFho3bHYq5UUwgEgtam1a9V6okQBwSCFsXj8fCf//N/Zu/evSxb\\ntoxCocAzzzyDrussWrSIjRs30t7ezsGDB9m2bRubN28mGo2yfft28vk855xzTtWLYKoiwZ49e3jr\\nrbfYvn17NTD8l3/5l+rEhGbAMSyMRCLCsJDh/fWJRGLCUuqRgRcwrBR7rldk1FZdtIrB42zheF04\\now91XXe1YkQIAc2H04IDcMEFF/DDH/7wuOfEYjFSqVT176Ghoao4LRAIBIKJyeVy/P3f/z19fX10\\ndHTw9a9/nXA4POw5b731Fvfee2/178OHD/O1r32N888/n//9v/8327dvr1Z2ffnLX55w1K4QBwSC\\nFsUJ6E888UQAdu/ezeDgIKtWrWLDhg1VF+mf/exnnHzyyaxatYp8Ps+bb77Ju+++y4EDB1i8eDHr\\n1q2bcvXA5s2b2bx5MwA7d+7kN7/5TVMJAw62bZPJZCgWi8RiMQKBAJlMZt4aFsIHrReRSATTNMnn\\n88M8AjweD7ZtVysCCoXCvA26nKoLVVWJx+OUy+V57WUxEc7oQ7/fTyKRmFaVihACWoN0Ol2dwvDm\\nm2/S1dV13HOWLl1Kf38/AwMDxGIxfve73zXleUIgEMw/7BbxHHjkkUdYvXo11113HY888giPPPII\\nn/vc54Y9Z9WqVfzt3/4tUBET/uzP/ow1a9ZUH//85z/PBRdcMOllCnFAIGhRRgb0q1ev5pZbbuHk\\nk0+uCgNbt24lk8lw3XXX4fF4eOWVV3j//fdZuXIlq1ev5v7772fv3r186lOfcsWksFnRdZ3+/v55\\nb1hYG3jZto3X68Xv91erAeazEDAeuq4PazXI5/OUy+XZXq2mxanaCYVCBAIBduzYwdKlS4973lhC\\ngK7rQghoIu699152795NLpfj29/+Nh/96EfZtWsXhw4dAiCZTPKpT30KqIgGDz74IF/84hdRFIWP\\nf/zj/OAHP8CyLNatWzeqiCAQCASC0XnllVf4zne+A1QmxHznO985Thyo5cUXX+Tss8/G5/NNe5lC\\nHBAI5gCOQWGtUpjP53nssce48sor6e7u5sCBA+zatYtTTjmFj33sYwB88pOfZOvWrdWRh7VMttXg\\nlFNO4ZRTTnH3A9UJx5U+FovR1tZGNpuds/3kIwMvRVGwbbsabOVyOUzTRJKkahCXzWZne7Wbmtr+\\neuf7ms9VKOPhGGDmcjmeeuopfD4f1113HR0dHVXDQEmShBDQAtx8883H3TdWFioWi/HFL36x+vfp\\np5/O6aefXrd1EwgEgunQyMqBW2+9tXp706ZNbNq0adKvrTV2TSQSZDKZcZ//wgsvcM011wy774EH\\nHuAnP/kJq1at4rOf/Syqqo77HkIcEAjmAKOZPGUyGc444wzOOeccyuUy27dvR9d11q1bV33OwMAA\\nvb29VYXRNE2y2SzxeHxGhoXNjGVZpFIpfD4fsVgMXddbdl67gyzLx81styyrWopdLpfHDGKdIM7j\\n8RCJRFzvF59rjOyvdyYyCD6gVpiKxWJ861vfYtu2bfzjP/4ja9as4bLLLgMQwopAIBAI5jx33HHH\\nuI/ffvvtDA0NHXf/jTfeOKXlpFIpDhw4MCxReNNNNxGPxzEMg3/8x3/k0Ucf5ROf+MS47yPEAYFg\\njtLV1cVnPvMZAN544w127tzJueeeWx2HmM1mefLJJ7n++uuRZZmtW7fy+uuvk06naW9v5+abb55R\\nWVKzUy6X6evrIxwOV0vFp+vi30jGEgKcrGuxWJyW0GEYxrB+cVE6Pz5Of30gEJjXrQaOEFC7TY6s\\nCEin03R2dvKVr3yF5557jv/+3/87V1xxBWvWrBHu9QKBQCBoOFYTJUBuu+22MR9zjF0TiQSpVGpc\\nU9etW7dy/vnnV02kgWrVgaqqXHrppfz85z+fcH2EOCAQzFGcVgOA5cuXMzg4yLnnnlt9/NFHH6Wz\\ns5Pzzz+f119/nV/84hds3LiRM844gy1btvDwww+zbt26quHhXMS2bbLZLMVikXg8jt/vn9DFv5Eo\\nyv/f3t3HRH3fcQB/HyfHHXfHPYE8C4qiKNoV8AG0Vi2xWrViuzntmmi69SnONLXGrNPVmC3L0qSr\\ncctal6l1Wbs1rqYPsY1PqKtUEaUjDikFKlSE8ngc9/z42x/kfgEBsRbuDn7vV0Lkfve73+/Lg+R+\\n79/n+/nKB83H9vv9A5qzjXbFQ3C+OEvn743T6ZTMVIORggCHwwGv1zvs1y+Xy7Fs2TIUFBTgxIkT\\nqKiowC9+8QsGBEREREMoKCjAhQsXUFJSggsXLmD+/PnD7ltWVibeFAwKBguCIKCiogLp6ekjnpPh\\nANEE1f8Nd1xcHFasWCE+rq6uxrVr1/Dqq6/C6/WivLwcBQUFWLp0KQBg6dKl2L9/PywWC9asWYO0\\ntLSQjz+UfD4fOjs7ERsbC71eD5fLBZvNFtIx9F8xIHjR5ff74fV6xdL1UJX6B0MTls7fm+D3a9Kk\\nSWOylF84REVFDQimvm8QcDcajQY//elPYbPZJkQw8N577+HGjRvQaDTi3NKPPvoI1dXVkMvliI+P\\nx+bNm8WlpPrbt28flEolZDIZ5HI5XnnllVAPn4iIIlRJSQnefPNNlJaWIj4+Hjt27ADQt0LZ6dOn\\n8cILLwAA2tvb0dnZOajHy4EDB8Q+BRkZGXjuuedGPCfDASIJ6F9FAPT9USksLMTkyZPx1Vdfobm5\\necAfjFu3bkGhUOCBBx6Y8MFAf8GGc3FxcWPasDC4ZGDwwksmk4lLBwaXy4uEC8s7S+dtNtuEbeA4\\nGu6cmhH8fYp0YxkE3M2dazWPVwsXLsRDDz2Ed999V9w2c+ZMrF27FnK5HB9//DHOnDmDxx9/fMjX\\nb9u2bcJ8L4iIxoPxspShVqvFa6+9Nmh7VlYWsrKyxMeTJ0/GwYMHB+23d+/e731OhgNEEnDn3bn+\\nb1LdbjdSU1Mhl8sB9JVJX79+HTk5OZg1a1ZIxxkJAoEAenp6xIaFPp8PVqv1vsv377zoAiBOC3C5\\nXPD5fBERBNyN0+kcNNVgPDdwHGtDTc2IlKkq/YOA/uFUsEJlrIKAiSwrKwtdXV0DtvX/25mZmYmq\\nqqpQD+ueCYIgBsgToZKDiIjuH8MBIokJBAID3gRmZGTgww8/xGeffYb8/Hx88skncLvdyM/Ph16v\\nD/Now8ftdqO9vR1arfaeGhbKZLJBFQEABjQKHM9LBfbv0h+ceuFwOMI9rIjVf6qBVqsVl48MZRA0\\nUhBgt9sZBIRAeXk5HnzwwSGfk8lkePvttwEARUVFKCoqGtOxBIMAQRDEQJihABFJTaTflAknhgNE\\nEhNcmtDn86G1tRXp6el45plncOHCBXz88cdobGzEsmXLJFk1MJRgw0KdTgeVSoXe3l7YbDa0tLTg\\n9u3bUKlUWLlyJQRBEKcGOByOiLlTPNq8Xi+6u7sRGxsLo9EIq9UKr9cb7mFFrDunGjidzjFZFePO\\nVSwYBESGU6dOISoqCvn5+UM+/9JLL0Gn08FqteKtt95CYmLigFLRoQQv7gGMuNTsncvRDhUEtLW1\\n4dKlS1AoFFi4cCFMJtOgqWhERCQNDAeIJKqzsxPnzp3D4sWLkZWVhaeffhp///vf8eCDDyI3N1e8\\nqyR1drsdzc3NuHXrFlpbW9HZ2QmVSoX09HSkpaVhypQp6O7uDvcwQy44n16r1UIQBNhsNk41uIvg\\nVAO1Wg2DwfCDphoMFwR4PB6xGSKDgPC7cuUKqqursW3btmEvtHU6HYC+eaVz585FU1PTiOHAnRf4\\nwQAg+P+vfxjQ/3Ofz4euri60traitLQUSUlJWLJkCb788ks4HA5YLBYcOXIEO3fuZDBARBNaYJz0\\nHAgHhgNEEpWUlIT09HQcPHgQM2bMQFdXF1QqFYqKipCUlBTu4YWNIAg4ffo0mpub0dnZCbVajbS0\\nNKSlpWHu3LlITEyEXq9HTEwMrFarJNe2DwoEArBYLIiJiYFerx+zu+ITRTBEkcvl0Gq18Pv96O7u\\nFntRDGWoIACA2CyQQUBkqqmpwdmzZ7F9+3YoFIoh93G73RAEAUqlEm63G7W1tXj00UfvetxAIICG\\nhgZ8+eWXaG5uRmxsLJYuXYrZs2cPqiLweDyoqqpCcnIyUlNTce7cOZSVlSEvLw+LFi3CN998g7/9\\n7W9YunQp1q9fD5/Phz179qCxsRGZmZmj9a0gIqJxhOEAkYQtX74cBQUFKC8vR15eHmbNmgW1Wh3u\\nYYWVTCZDSkoK8vLyYDKZhryD1tPTA4VCAZ1OB6VSKfkGfW63e9TuikuB3+9HT08PZDIZ/vSnP6Gw\\nsBALFiwY0Bsg+LkgCAOCAI/HI+nftUh09OhRNDQ0wGazYe/evVi9ejXOnDkDn8+Hv/zlLwD6mhJu\\n3LgRFosF//rXv/D888/DarXi8OHDAPou+vPy8pCTk3PXczU1NeHTTz9FRkYGVqxYAZVKJT7X09OD\\n48eP45lnngHQtzxqaWkpFi9ejLS0NMTHx8NutyMnJwczZszArFmzUFVVhTlz5gDoa56alJSEpqYm\\nhgNENKGNl9UKwoHhAJHEabVaFBcXi4851xTIzc0dcR+Px4OOjg5oNBqYTCbY7XbJN+iz2+3iVAO/\\n3x/yBnzjSbAiYNeuXTh58iT+/Oc/4+mnn8a0adMYBIwzW7ZsGbRt0aJFQ+6r0+nw/PPPAwDi4+Ox\\na9euAc8PNTUgyO/3o7S0FNnZ2Vi9evWg56Ojo3H9+nV0dXXBZDJBLpcjJSUFvb298Pv9MBgMiI+P\\nFwNgo9EIg8GApqYmJCcnAwBSUlLQ2toKv9/PqWVERBJ09042RCQ5Ug8Gvi+bzYaOjg4oFAoYjUax\\n7FuqgnfFPR4PDAYDlEpluIcUdlFRUYiJiYFarYZer0dCQgKMRiOUSiUUCgVWrVqFzZs349ixYzhw\\n4ACam5vhcrkYDExggUAAgUBgUHgWFRUlBgP9p+gEVxew2+0IBAJoaWkRq3OCx1Cr1YiPj0djY6P4\\nOpPJBLPZLIZ2BoMB3377rfh8eno66uvrxceZmZloa2uT9HQpIpr4+q/cMpYf45G038USEY0Cv98v\\n9mzQ6/Vwu92Sv2vudrvh8XgkN9UgWBHQf3pA/6kBNpsNXq930IW/yWTCs88+i+rqavz1r39FQUEB\\nli5dyru3E0Dw70D/4HWoygC73Y7a2lq43W6cO3cOqamp+PGPfwy1Wi1WdBUVFaGsrAyNjY1wOp3o\\n7e3Fj370IyxevBiJiYlITk5GfX29uDpCamqqOOVBp9NBp9OhtbVVPOfUqVNx9uxZ8XFaWhq6urrg\\ndDoRGxs7Vt8SIiKKUAwHiIhGidPphMvlQlxcHEwmk+QbFgYb8E2aNAlarVYsl58oocn9BgF3M2fO\\nHGRnZ+PKlSsTpornvffew40bN6DRaPCrX/0KQN+F8NGjR9Hd3Q2j0YitW7cOeTF65coVnDp1CgCw\\ncuVKLFiwIKRjvx9DLR/Yn8/nQ319PWpqaqDRaLBgwQLodDp0dnbi1KlTUKlUeOqppwbM+w8er6Cg\\nANOnT0d9fb143P/85z9oamrCyy+/jKysLFy6dGnAudva2mC1WpGQkACdToe6ujrx+fT09AHjS0lJ\\nwe7duxETEzOq3xMiokgisDJvWJxWQEQ0igRBgMVigdlsFsvIpX731+fzwWw2w+fzwWAwjMsLD7lc\\njpiYGGg0mkFTA4L9Fdrb29HW1obu7m4xGLqfqQHR0dFYvHjxiGvYjxcLFy4U59kHnT17FtnZ2diz\\nZw+ys7Nx5syZQa+z2+04efIkXn75ZezYsQMnT54MSV8PQRAGlfzX1dXh66+/HvDzDE4NuPNnfOfP\\nzWazobKyEi0tLQCA8vJyfPrppxAEAbdv38a///1vtLW1ITk5GQaDARqNBpmZmcOuQKHX61FQUID8\\n/Hzk5+fjySefRHNzM9xuN3Jzc9HV1YXKykq0tbWhsbERfr8fra2tiIqKQlpa2oBjZ2Rk4LXXXhtw\\n/PH4/5OIiEbHxHjnQUQUYYINC91uN4xGI0t0AbhcLpjNZigUiogOTYYKAoL9E4YKAmw2230HAVKQ\\nlZU16Pf/+vXrmD9/PgBg/vz5uH79+qDXffXVV8jOzoZarUZsbCyys7NRU1Mz5uOVyWSIioqCTCYT\\nf6ZlZWW4du3agD4Awf4A/cMAu92OyspK3Lx5U9zW2NiI8+fPIzY2Fs3NzSgvL8fmzZvxxBNPYOvW\\nrUhMTMT58+ehUCiQlJQk3skfrnIk2HcgqKGhAUajEUDf9JSf/OQnOH36NA4cOACj0Yif/exnmDt3\\nLoC+Zqvr1q0b8H9vPM+NJSK6H4GAEJKP8YjTCoiIxpDNZoPT6YROp4PRaITVaoXX6w33sMJGEARY\\nrVZER0cjLi4OHo8Hdrs9bOORy+XilIA7pwZ4PB64XK7vPTWARma1WqHT6QD0dfC32WyD9rFYLDAY\\nDOJjvV4Pi8UypuPq6OhAQ0MDGhoaIAgCFi5ciBkzZoil/A6HA2q1Gm63Gw0NDbhx4wasVityc3Mx\\nf/58CIKAuro6dHR04Je//CWAvot8t9sNvV6Pjo4OdHd3QyaT4bPPPkNTU9OA1QImT54sNgwcrnLk\\n4sWLcLvdMJvNYv+AjRs3inf8FyxYgLy8vGGbo4407YGIiKSL4QAR0Rjz+/3o7u6GUqmETqdjw0IA\\nXq8XZrMZKpUKRqMRNpsNHo9nTM/ZPwgIhgEMAsaXsbyQvXz5Mt5//31kZmZi5syZsNls+OCDD7B+\\n/XpMnToVlZWVsNlsSEhIQH19PU6fPo309HQkJyfj3Llz6OrqwqpVq7By5UocPHgQNTU1yMnJgdls\\nRmJiIgBAqVTC6XTinXfeQUpKCnJycrB+/XoxHNDr9RAEQVyOsP/SssHPp02bhtraWiQnJ6OwsBCZ\\nmZlQKBQDvpbg73b/ZojB40yU6SpERPdLyu+/RsJwgIgoRFwuF9xuN7RaLUwmE2w2G1wuV7iHFVZO\\npxNutxsajQYqlQpWq3VULs7lcvmAagAGAZFFq9XCYrFAp9PBYrFAo9EM2ken0w1YZq+npwfTp08f\\nszHFx8cjJSUFL774IhQKBRwOBz744ANUV1fj8ccfRyAQQG9vL4C+O/w///nPodVqAfQ19jtx4gQe\\neeQRGAwGFBYW4vz585g+fToaGhowY8YMAH2rB2i1Wjz55JPiNgCor69HamoqdDodXC4XmpqaBoUD\\nwX9nzJgx4LXD6R8IEBER3QuGA0QkOWazGe+++y56e3sRFRWFwsJCPPzwwyE5tyAI6O3thdPphF6v\\nh1KphNVqHbb5mBQEL7qio6Oh1+vhcrm+V+O54YIAj8cDr9fLICAC5ebmoqKiAsXFxaioqBDnxPc3\\na9YsnDhxQvxdqK2txdq1a8dsTKmpqXA4HGhvb0daWhpiY2PR3t6O3NxcKBQKKJVKmM1m+P1+JCQk\\nwGKx4MyZM6itrUV7eztsNhva2tqQlpaGhx9+GBUVFaiqqkJPT494Zz8qKgrFxcUoLS1FVVUV7HY7\\nbt++jWnTpiExMRFGoxHr1q1DSkqKuP9Q+v8usxKAiIhGC8MBIpKcqKgorF+/Hunp6XC5XHjjjTcw\\nc+ZMJCUlhWwMXq8XHR0dUKvVMBqNcDgcYZ17Hwm8Xi+6u7sRGxuLuro6yOVyTJs2bcA+QwUBgUBA\\nXD6QQUDkOXr0KBoaGmCz2bB3716sXr0axcXFeOedd3D58mUYDAZs3boVAPDtt9/iiy++wKZNm6BW\\nq7Fy5Ur88Y9/BAA8+uijUKvVYzZOlUoFlUqFK1euoLKyErdu3YJKpRKXTzQYDDCbzXC5XFCr1Th7\\n9iza29uRl5eHpKQkfPTRR2hsbERaWhoAYMWKFbh48SLMZrNYYQAAS5YsQXZ2Nq5evYq4uDgsWbIE\\nGRkZYo+AnJycEcfKQICI6P4J47RZYCgwHCAiydHpdGIzNKVSicTERFgslpCGA0F2ux0ulwtxcXEw\\nmUzo7e2VdMNCAHA4HIiPj8eHH36I8vJybNy4EfHxzie8IAAACkBJREFU8UMGAR6Ph3MHI9yWLVuG\\n3L5t27ZB26ZMmYIpU6aIjxctWoRFixaN2djulJGRgatXr2LevHlYtGiRuFoCACQlJaGhoQGBQAD1\\n9fW4efMmSkpKkJWVhW+++Qatra1obm4WjzVv3jx0dHTgwoULSE9PH3CeyZMn47HHHht2HP2nExAR\\nEYUKwwEikrSuri40NzcjIyMjbGPw+/0wm81iw0KPxwOr1Sqpi947KwISEhKwc+dOVFRU4I033kBh\\nYSEKCwt5wURjymQyYfr06di0aZO4LViFkpKSgv/973+w2WwwGAzQ6XQ4d+4cPv/8c3i9XixZsgTf\\nffcdgL6L+0mTJiE3NxcXL14cUDlw53GH6g3A33MiorHDyoHhMRwgIslyu904cuQINmzYAKVSGe7h\\nSKZhYTAICIYBd1YEOJ1OeL1eCIKAjIwMbN++HadPn8b+/fuxYcMGZGZmhvtLoAkqIyMD165dQ0dH\\nBxISEiAIgljCP3nyZPT09KClpQX5+fkoKSnB559/Do1Gg5ycHKSmpg5qHlhTU4O5c+fC6/UiOjp6\\nwLk4NYCIiCINwwEikiS/34/Dhw8jPz8fDzzwQLiHIwo2LHQ4HNDr9VCpVOjt7R23DQvvFgR4PB44\\nHA4xCBiOQqHAmjVrUFBQgOPHj+Ohhx5Cbm5uCL+K0Ghra8PRo0fFx11dXVi9ejWWLVsmbqurq8Oh\\nQ4dgNBoB9JWur1q1KtRDnbBSU1NhtVphsViQkJAw4A6+TqdDSUmJWGUUHx+PDRs2DHh9/6UD33//\\nfVy+fBkvvvjioGCAiIjCJyCwL9FwGA4QkeQIgoB//vOfSExMxPLly8M9nCH5fD50dnYiNjYWBoMB\\nTqcz4hsWBi/+f0gQcDeJiYl44YUXJmyzwcTEROzatQtAX8n53r17MW/evEH7TZs2Dc8991yohycJ\\nsbGxyMjIGPKuviAImDNnzoBtd04NkMlkCAQCkMlkWLp0KR577LEhpxQQERFFIoYDRCQ5N2/exNWr\\nV5GcnIzXX38dALB27VrMnj07zCMbzOFwwOVyQafTwWQywWq1wuPxhHtYYx4EDEcmk0Eul4/qMSPR\\n119/jfj4eLFCgELn2WefHXK7TCYb1ChwqBAhuC05OXlsBkhERD8Iew4Mj+EAEUnOtGnTsH///nAP\\n454FAgGYzWbExMRAp9PB6/XCZrOF7A56uIIAKausrEReXt6QzzU2NuL1119HXFwc1q9fz4vQMRAI\\nBIa88GejQCIimsgYDhARjRNutxsdHR3QaDQwGo2w2+1wOp2jeg4GAeHn8/lQXV2NdevWDXouPT0d\\ne/fuRUxMDG7cuIFDhw5hz549YRjlxMZmgUREExcrB4bHcICIaBwRBAFWqxVOpxN6vR5KpRJWqxU+\\nn+97H6t/EBAdHQ25XM4gIALU1NQgLS1tyLnq/VfVmD17No4dOwabzQaNRhPKIRIREdEExHCAiGgc\\n6t+wUK/Xw+VywWazDbt//2qA/kGAx+OB1+tlEBBB7jaloLe3F1qtFjKZDE1NTRAEAWq1OsQjJCIi\\nGr/4Xmd4DAeIiMaxYMPCuLg4xMfHo7e3F4FAYEAQMGnSJPh8Pni9XgYBEc7j8aC2thYbN24Ut5WV\\nlQEAFi9ejKqqKpSVlSEqKgrR0dHYsmUL58ETERHRqJAJ3+PdYUtLy1iOhYiIfoCYmBgYDIYBFQHB\\nDwYBREREdC9SUlLCPYQxte75mpCc55ODOSE5z2hi5QAR0QThdrvx3XffhXsYRERERDQOMRwgIiIi\\nIiIiSeBqBcPjWj1EREREREREEsfKASIiGhf27dsHpVIJmUwGuVyOV155ZcDzgiDg+PHjqKmpQXR0\\nNJ566imkp6eHabRERERE4wvDASIiGje2bdsGjUYz5HM1NTXo6OjA7t270dTUhGPHjmHHjh0hHiER\\nERFFMkEIhHsIEYvTCoiIaEK4fv065s+fD5lMhszMTDidTlgslnAPi4iIiGhcYOUAERGNCzKZDG+/\\n/TYAoKioCEVFRQOet1gsMBgM4mO9Xg+LxQKdThfScRIREVHkYkPC4TEcICKiceGll16CTqeD1WrF\\nW2+9hcTERGRlZd31NTKZLESjIyIiIhrfOK2AiIjGhWAFgFarxdy5c9HU1DToebPZLD7u6elBXFxc\\nSMdIREREkU0ICCH5GI8YDhARUcRzu91wuVzi57W1tUhOTh6wT25uLioqKiAIAhobG6FSqTilgIiI\\niOgecVoBERFFPKvVisOHDwMAAoEA8vLykJOTg7KyMgDA4sWLMXv2bNTU1OB3v/sdFAoFNm/eHM4h\\nExERUQQKcLWCYckEQbjnmoeWlpaxHAsRERERERGFUUpKSriHMKYe3fLfkJzn5NEfheQ8o4mVA0RE\\nRERERCQJ47UfQCiw5wARERERERGRxLFygIiIiIiIiCRBCLDnwHBYOUBEREREREQkcawcICIiIiIi\\nIklgz4HhsXKAiIiIiIiISOJYOUBERERERESSIAjsOTAcVg4QERERERERSRzDASIiIiIiIiKJ47QC\\nIiIiIiIikoQAGxIOi5UDRERERERERBLHygEiIiIiIiKSBCHAhoTDYeUAERERERERkcSxcoCIiIiI\\niIgkQWDPgWGxcoCIiIiIiIhI4lg5QERERERERJIgCOw5MBxWDhARERERERFJHCsHiIiIiIiISBLY\\nc2B4DAeIiIiIiIiIIsilS5dw7Ngx3L59G7///e+RlZU15H7//e9/ceTIEQQCATzyyCMoKSkBALS3\\nt2P//v2w2WyYOnUqtm/fjkmT7n75z2kFREREREREJAlCIBCSjx8qPT0dO3fuRE5OzrD7BAIBHDp0\\nCL/+9a/x5ptvoqysDM3NzQCAf/zjH1izZg0OHDgAtVqN0tLSEc/JcICIiIiIiIgogqSlpSElJeWu\\n+9TX1yMpKQmJiYmYNGkSioqKUFFRAUEQUF1djUWLFgEAli1bhoqKihHP+b2mFYw0OCIiIiIiIqJI\\ndfGTh0NyHqfTiX379omPi4uLUVxcPKrn6O7uhslkEh+bTCbU1dXBarUiNjYWcrkcAGA0GtHd3T3i\\n8dhzgIiIiIiIiGgUqVQq/OEPf7jrPr/97W/R09MzaPumTZswf/78Ec8hCIObK8pksnsf5B0YDhAR\\nERERERGF2G9+85sf9HqTyYSuri7xcVdXFwwGA7RaLRwOB/x+P+RyObq7u2E0Gkc8HnsOEBERERER\\nEY0zWVlZaG1tRXt7O3w+H7744gsUFBRAJpNhzpw5uHz5MgDg/PnzKCgoGPF4MmGoWgQiIiIiIiIi\\nCosrV67g8OHD6O3thVqtRmZmJnbv3o3u7m4cPHgQr776KgCgsrISR48eRSAQwPLly/HEE08AANra\\n2gYtZRgdHX3XczIcICIiIiIiIpI4TisgIiIiIiIikjiGA0REREREREQSx3CAiIiIiIiISOIYDhAR\\nERERERFJHMMBIiIiIiIiIoljOEBEREREREQkcQwHiIiIiIiIiCTu/9vvdbJSE09cAAAAAElFTkSu\\nQmCC\\n\",\n      \"text/plain\": [\n       \"<matplotlib.figure.Figure at 0x204c0e99d68>\"\n      ]\n     },\n     \"metadata\": {},\n     \"output_type\": \"display_data\"\n    },\n    {\n     \"data\": {\n      \"image/png\": 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BDouPLd0NCAe+65J5T+31PxRUmSUFxcjCNHjoRu83g82LFjB4YNGxax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\\nRERERBTj/j/T6xIA2zssrgAAAABJRU5ErkJggg==\\n\",\n      \"text/plain\": [\n       \"<matplotlib.figure.Figure at 0x204c21bfa58>\"\n      ]\n     },\n     \"metadata\": {},\n     \"output_type\": \"display_data\"\n    }\n   ],\n   \"source\": [\n    \"plot_value_function(value_function)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## References\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"- <a href=\\\"http://incompleteideas.net/sutton/book/bookdraft2017june.pdf\\\">Reinforcement Learning: An Introduction</a> - Chapter 5: Monte Carlo Methods\"\n   ]\n  }\n ],\n \"metadata\": {\n  \"kernelspec\": {\n   \"display_name\": \"Python 3\",\n   \"language\": \"python\",\n   \"name\": \"python3\"\n  },\n  \"language_info\": {\n   \"codemirror_mode\": {\n    \"name\": \"ipython\",\n    \"version\": 3\n   },\n   \"file_extension\": \".py\",\n   \"mimetype\": \"text/x-python\",\n   \"name\": \"python\",\n   \"nbconvert_exporter\": \"python\",\n   \"pygments_lexer\": \"ipython3\",\n   \"version\": \"3.6.1\"\n  }\n },\n \"nbformat\": 4,\n \"nbformat_minor\": 2\n}\n"
  },
  {
    "path": "Week 2/README.md",
    "content": "## Coding Challenge -- (Not submitted)\n\nThis week's coding challenge is to implement Monte Carlo Prediction algorithm. Here it is built for the <a href=\"https://gym.openai.com/envs/Blackjack-v0/\">Blackjack-v0</a> environment by OpenAI Gym library. By <a href=\"https://github.com/llSourcell/AI_for_Video_Games_Syllabus\">Siraj Raval.</a>\n\nThe submission file is: <a href=\"Monte_Carlo_Prediction.ipynb\">Monte_Carlo_Prediction.ipynb</a>\n\n## Dependencies for challenge\n\n* numpy\n* [OpenAI Gym](https://gym.openai.com/docs/)\n\n\n### References\n\n[Siraj Raval - Youtube - Monte Carlo Prediction](https://www.youtube.com/watch?v=-YpalutQCKw&ab_channel=SirajRaval)\n\n[Blackjack - OpenAI Gym](https://gym.openai.com/envs/Blackjack-v0/)\n\n<a href=\"http://incompleteideas.net/sutton/book/bookdraft2017june.pdf\">Reinforcement Learning: An Introduction</a> - Chapter 5: Monte Carlo Methods"
  },
  {
    "path": "Week 3/QLearning_MountainCar.ipynb",
    "content": "{\n \"cells\": [\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"# Q Learning for MountainCar\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### Imports\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 1,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"import numpy as np\\n\",\n    \"\\n\",\n    \"import gym\\n\",\n    \"from gym import wrappers\\n\",\n    \"\\n\",\n    \"\\n\",\n    \"\\n\",\n    \"import time\\n\",\n    \"\\n\",\n    \"# Imports specifically so we can render outputs in Jupyter.\\n\",\n    \"import matplotlib.pyplot as plt\\n\",\n    \"%matplotlib inline\\n\",\n    \"from JSAnimation.IPython_display import display_animation\\n\",\n    \"from matplotlib import animation\\n\",\n    \"from IPython.display import display\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### Util functions (display)\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 2,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def display_frames_as_gif(frames):\\n\",\n    \"    \\\"\\\"\\\"\\n\",\n    \"    Displays a list of frames as a gif, with controls\\n\",\n    \"    \\\"\\\"\\\"\\n\",\n    \"    patch = plt.imshow(frames[0])\\n\",\n    \"    plt.axis('off')\\n\",\n    \"\\n\",\n    \"    def animate(i):\\n\",\n    \"        patch.set_data(frames[i])\\n\",\n    \"\\n\",\n    \"    anim = animation.FuncAnimation(plt.gcf(), animate, frames = len(frames), interval=50)\\n\",\n    \"    display(display_animation(anim, default_mode='loop'))\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### Hyperparams\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 3,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"n_states = 60 #In how many slices discretize the continuous space, the bigger, the smoother. \\n\",\n    \"iter_max = 10000 #Number of epochs\\n\",\n    \"t_max = 200 #Number of max actions taken per episode. If in 200 steps it's not done, the environment takes it as fail.\\n\",\n    \"\\n\",\n    \"#Tweaking params\\n\",\n    \"initial_lr = 1.0 #Initial Learning Rate\\n\",\n    \"min_lr = 0.003 #Minimum Learning Rate\\n\",\n    \"gamma = 1.0 #Discount factor\\n\",\n    \"eps = 0.02 #Probability of take a random action\\n\",\n    \"\\n\",\n    \"gamma_list = [0.0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0]\\n\",\n    \"eps_list = [0.00, 0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1]\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### Create environment\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 4,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stderr\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"[2017-12-03 14:50:49,466] Making new env: MountainCar-v0\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"env_name = 'MountainCar-v0'\\n\",\n    \"env = gym.make(env_name)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### Observation to state (discretize)\\n\",\n    \"\\n\",\n    \"Given an observations it returns a discretized [position,speed] state pair.\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 5,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def obs_to_state(env, obs):\\n\",\n    \"    \\\"\\\"\\\" Maps an observation to state \\\"\\\"\\\"\\n\",\n    \"    env_low = env.observation_space.low\\n\",\n    \"    env_high = env.observation_space.high\\n\",\n    \"    env_dx = (env_high - env_low) / n_states\\n\",\n    \"    position = int((obs[0] - env_low[0])/env_dx[0])\\n\",\n    \"    speed = int((obs[1] - env_low[1])/env_dx[1])\\n\",\n    \"    return position, speed\\n\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 6,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stdout\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"Position index on Q-Table: 20\\n\",\n      \"Speed index on Q-Table: 30\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"obs = env.reset()\\n\",\n    \"pos,speed = obs_to_state(env,obs)\\n\",\n    \"print('Position index on Q-Table: %d' %(pos))\\n\",\n    \"print('Speed index on Q-Table: %d' %(speed))\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### Run a single episode\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 7,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def run_episode(env, policy=None, render=False):\\n\",\n    \"    obs = env.reset()\\n\",\n    \"    total_reward = 0\\n\",\n    \"    step_idx = 0\\n\",\n    \"    frames = []\\n\",\n    \"    for _ in range(t_max):\\n\",\n    \"        if render:\\n\",\n    \"            frames.append(env.render(mode = 'rgb_array'))\\n\",\n    \"        if policy is None:\\n\",\n    \"            action = env.action_space.sample()\\n\",\n    \"        else:\\n\",\n    \"            pos,speed = obs_to_state(env, obs)\\n\",\n    \"            action = policy[pos][speed]\\n\",\n    \"        obs, reward, done, _ = env.step(action)\\n\",\n    \"        total_reward += gamma ** step_idx * reward\\n\",\n    \"        step_idx += 1\\n\",\n    \"        if done:\\n\",\n    \"            break\\n\",\n    \"    \\n\",\n    \"    if render:\\n\",\n    \"        env.render(close=True)\\n\",\n    \"        display_frames_as_gif(frames)\\n\",\n    \"    return total_reward\\n\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"#### Random episode for example\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 8,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"data\": {\n      \"text/html\": [\n       \"\\n\",\n       \"<script language=\\\"javascript\\\">\\n\",\n       \"  /* Define the Animation class */\\n\",\n       \"  function Animation(frames, img_id, slider_id, interval, loop_select_id){\\n\",\n       \"    this.img_id = img_id;\\n\",\n       \"    this.slider_id = slider_id;\\n\",\n       \"    this.loop_select_id = loop_select_id;\\n\",\n       \"    this.interval = interval;\\n\",\n       \"    this.current_frame = 0;\\n\",\n       \"    this.direction = 0;\\n\",\n       \"    this.timer = null;\\n\",\n       \"    this.frames = new Array(frames.length);\\n\",\n       \"\\n\",\n       \"    for (var i=0; i<frames.length; i++)\\n\",\n       \"    {\\n\",\n       \"     this.frames[i] = new Image();\\n\",\n       \"     this.frames[i].src = frames[i];\\n\",\n       \"    }\\n\",\n       \"    document.getElementById(this.slider_id).max = this.frames.length - 1;\\n\",\n       \"    this.set_frame(this.current_frame);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.get_loop_state = function(){\\n\",\n       \"    var button_group = document[this.loop_select_id].state;\\n\",\n       \"    for (var i = 0; i < button_group.length; i++) {\\n\",\n       \"        var button = button_group[i];\\n\",\n       \"        if (button.checked) {\\n\",\n       \"            return button.value;\\n\",\n       \"        }\\n\",\n       \"    }\\n\",\n       \"    return undefined;\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.set_frame = function(frame){\\n\",\n       \"    this.current_frame = frame;\\n\",\n       \"    document.getElementById(this.img_id).src = this.frames[this.current_frame].src;\\n\",\n       \"    document.getElementById(this.slider_id).value = this.current_frame;\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.next_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.previous_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(Math.max(0, this.current_frame - 1));\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.first_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(0);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.last_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(this.frames.length - 1);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.slower = function()\\n\",\n       \"  {\\n\",\n       \"    this.interval /= 0.7;\\n\",\n       \"    if(this.direction > 0){this.play_animation();}\\n\",\n       \"    else if(this.direction < 0){this.reverse_animation();}\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.faster = function()\\n\",\n       \"  {\\n\",\n       \"    this.interval *= 0.7;\\n\",\n       \"    if(this.direction > 0){this.play_animation();}\\n\",\n       \"    else if(this.direction < 0){this.reverse_animation();}\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.anim_step_forward = function()\\n\",\n       \"  {\\n\",\n       \"    this.current_frame += 1;\\n\",\n       \"    if(this.current_frame < this.frames.length){\\n\",\n       \"      this.set_frame(this.current_frame);\\n\",\n       \"    }else{\\n\",\n       \"      var loop_state = this.get_loop_state();\\n\",\n       \"      if(loop_state == \\\"loop\\\"){\\n\",\n       \"        this.first_frame();\\n\",\n       \"      }else if(loop_state == \\\"reflect\\\"){\\n\",\n       \"        this.last_frame();\\n\",\n       \"        this.reverse_animation();\\n\",\n       \"      }else{\\n\",\n       \"        this.pause_animation();\\n\",\n       \"        this.last_frame();\\n\",\n       \"      }\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.anim_step_reverse = function()\\n\",\n       \"  {\\n\",\n       \"    this.current_frame -= 1;\\n\",\n       \"    if(this.current_frame >= 0){\\n\",\n       \"      this.set_frame(this.current_frame);\\n\",\n       \"    }else{\\n\",\n       \"      var loop_state = this.get_loop_state();\\n\",\n       \"      if(loop_state == \\\"loop\\\"){\\n\",\n       \"        this.last_frame();\\n\",\n       \"      }else if(loop_state == \\\"reflect\\\"){\\n\",\n       \"        this.first_frame();\\n\",\n       \"        this.play_animation();\\n\",\n       \"      }else{\\n\",\n       \"        this.pause_animation();\\n\",\n       \"        this.first_frame();\\n\",\n       \"      }\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.pause_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.direction = 0;\\n\",\n       \"    if (this.timer){\\n\",\n       \"      clearInterval(this.timer);\\n\",\n       \"      this.timer = null;\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.play_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.pause_animation();\\n\",\n       \"    this.direction = 1;\\n\",\n       \"    var t = this;\\n\",\n       \"    if (!this.timer) this.timer = setInterval(function(){t.anim_step_forward();}, this.interval);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.reverse_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.pause_animation();\\n\",\n       \"    this.direction = -1;\\n\",\n       \"    var t = this;\\n\",\n       \"    if (!this.timer) this.timer = setInterval(function(){t.anim_step_reverse();}, this.interval);\\n\",\n       \"  }\\n\",\n       \"</script>\\n\",\n       \"\\n\",\n       \"<div class=\\\"animation\\\" align=\\\"center\\\">\\n\",\n       \"    <img id=\\\"_anim_imgAQFZNEREFTTRZSJJ\\\">\\n\",\n       \"    <br>\\n\",\n       \"    <input id=\\\"_anim_sliderAQFZNEREFTTRZSJJ\\\" type=\\\"range\\\" style=\\\"width:350px\\\" name=\\\"points\\\" min=\\\"0\\\" max=\\\"1\\\" step=\\\"1\\\" value=\\\"0\\\" onchange=\\\"animAQFZNEREFTTRZSJJ.set_frame(parseInt(this.value));\\\"></input>\\n\",\n       \"    <br>\\n\",\n       \"    <button onclick=\\\"animAQFZNEREFTTRZSJJ.slower()\\\">&#8211;</button>\\n\",\n       \"    <button onclick=\\\"animAQFZNEREFTTRZSJJ.first_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAQFZNEREFTTRZSJJ.previous_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAgyTCyQ6wAAANRJREFUKM9jYBjO4AiUfgzFGGAp4+yayUvX6jMwMDCsYmBgOCS4OAOrSYmMgcc8/pd5Q3irC+Neh/1AlmeBMVgZmP8yMLD8/c/cqv9r90whzv/MX7Eq/MfAwMDIwCuZdfSV8U8WDgZGRmYGrAoZGRgY/jO8b3sj/J2F6T8j4z80pzEhmIwMjAxsSbqqlkeZGP//Z8SlkJnhPwMjwx/Guoe1NhmRwk+YGH5jV8jOwMPHzcDBysAwh8FrxQwtPU99HrwBXsnAwMDAsJiBgYGBoZ1xmKYqALHhMpn1o7igAAAAAElFTkSuQmCC\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAQFZNEREFTTRZSJJ.reverse_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAQFZNEREFTTRZSJJ.pause_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAkR91DQ2AAAAKtJREFUKM9jYCANTEVib2K4jcRbzQihGWEC00JuNjN8Z2Q0Zo3VYWA4lL005venH9+c3ZK5IfIsMIXMBtc12Bj+MMgxMDAwMPzWe2TBzPCf4SLcZCYY4/9/RgZGBiaYFf8gljFhKiQERhUOeoX/Gf8y/GX4y/APmlj+Mfxj+MfwH64Qnnq0zr9fyfLrPzP3eQYGBobvk5x4GX4xMIij23gdib0cRWYHiVmAAQDK5ircshCbHQAAAABJRU5ErkJggg==\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAQFZNEREFTTRZSJJ.play_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAQFZNEREFTTRZSJJ.next_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAkd/uac8wAAAMhJREFUKM9jYBie4DEUQ8B+fEq3+3UrMzAwMFxjYGBgYJizYubaOUxYFUaXh/6vWfRfEMIL/+//P5gZJoei4/f/7wxnY1PeNUXdE2RgYGZgYoCrY2BBVsjKwMDAwvCS4f3SG/dXxm5gYESSQ1HIwvCPgZmB8f8Pxv+Kxxb/YfiPJIdi9T8GJgaG/38ZFd4Fx0xUYsZt4h8GBgb2D2bLy7KnMTAwMEIxFoVCXIYr1IoDnkF4XAysqNIwUMDAwMDAsADKS2NkGL4AAIARMlfNIfZMAAAAAElFTkSuQmCC\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAQFZNEREFTTRZSJJ.last_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAQFZNEREFTTRZSJJ.faster()\\\">+</button>\\n\",\n       \"  <form action=\\\"#n\\\" name=\\\"_anim_loop_selectAQFZNEREFTTRZSJJ\\\" class=\\\"anim_control\\\">\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"once\\\" > Once </input>\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"loop\\\" checked> Loop </input>\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"reflect\\\" > Reflect </input>\\n\",\n       \"  </form>\\n\",\n       \"</div>\\n\",\n       \"\\n\",\n       \"\\n\",\n       \"<script language=\\\"javascript\\\">\\n\",\n       \"  /* Instantiate the Animation class. */\\n\",\n       \"  /* The IDs given should match those used in the template above. */\\n\",\n       \"  (function() {\\n\",\n       \"    var img_id = \\\"_anim_imgAQFZNEREFTTRZSJJ\\\";\\n\",\n       \"    var slider_id = \\\"_anim_sliderAQFZNEREFTTRZSJJ\\\";\\n\",\n       \"    var loop_select_id = \\\"_anim_loop_selectAQFZNEREFTTRZSJJ\\\";\\n\",\n       \"    var frames = new Array(0);\\n\",\n       \"    \\n\",\n       \"  frames[0] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[1] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[2] = 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      \"  frames[3] = 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      \"  frames[6] = 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      \"  frames[199] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"\\n\",\n       \"\\n\",\n       \"    /* set a timeout to make sure all the above elements are created before\\n\",\n       \"       the object is initialized. */\\n\",\n       \"    setTimeout(function() {\\n\",\n       \"        animAQFZNEREFTTRZSJJ = new Animation(frames, img_id, slider_id, 50, loop_select_id);\\n\",\n       \"    }, 0);\\n\",\n       \"  })()\\n\",\n       \"</script>\\n\"\n      ],\n      \"text/plain\": [\n       \"<IPython.core.display.HTML object>\"\n      ]\n     },\n     \"metadata\": {},\n     \"output_type\": \"display_data\"\n    },\n    {\n     \"name\": \"stdout\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"Total reward: -200\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"total_reward = run_episode(env,render=True)\\n\",\n    \"print('Total reward: %d' % total_reward)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### Grid search\\n\",\n    \"\\n\",\n    \"Choosing the right hyperparameters is always important.\\n\",\n    \"\\n\",\n    \"Unfortunately, could be so time-expensive.\\n\",\n    \"\\n\",\n    \"Here's a function that do a Grid search over _gamma_ and _eps_ parameters, feel free to use it. I'll skip and use the default values.\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 9,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def grid_train(env,num_epochs,gamma,eps):    \\n\",\n    \"    #Initialize Q-Table\\n\",\n    \"    q_table = np.zeros((n_states, n_states, 3)) #[number_of_positions x number_of_speeds x number_of_actionst]\\n\",\n    \"    for i in range(num_epochs):\\n\",\n    \"        obs = env.reset()\\n\",\n    \"        total_reward = 0\\n\",\n    \"        eta = max(min_lr, initial_lr * (0.85 ** (i//100)))\\n\",\n    \"        while True:\\n\",\n    \"            pos, speed = obs_to_state(env, obs)\\n\",\n    \"            if np.random.uniform(0, 1) < eps:\\n\",\n    \"                action = np.random.choice(env.action_space.n)\\n\",\n    \"            else:\\n\",\n    \"                logits = q_table[pos][speed]\\n\",\n    \"                logits_exp = np.exp(logits)\\n\",\n    \"                probs = logits_exp / np.sum(logits_exp)\\n\",\n    \"                action = np.random.choice(env.action_space.n, p=probs)\\n\",\n    \"            obs, reward, done, _ = env.step(action)\\n\",\n    \"            total_reward += reward\\n\",\n    \"            pos_, speed_ = obs_to_state(env, obs)\\n\",\n    \"            q_table[pos][speed][action] = q_table[pos][speed][action] + eta * \\\\\\n\",\n    \"            (reward + gamma *  np.max(q_table[pos_][speed_]) - q_table[pos][speed][action])\\n\",\n    \"            if done:\\n\",\n    \"                break\\n\",\n    \"    solution_policy = np.argmax(q_table, axis=2)\\n\",\n    \"    solution_policy_scores = [run_episode(env, solution_policy, False) for _ in range(100)]\\n\",\n    \"    av_score = np.max(solution_policy_scores)\\n\",\n    \"    print('eps: %.2f - gamma: %.2f - best score: %.f' % (eps,gamma,av_score))\\n\",\n    \"    \\n\",\n    \"    return av_score,eps,gamma\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 10,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def grid_search(eps_list,gamma_list,num_epochs):\\n\",\n    \"    start = time.time()\\n\",\n    \"    estimated = False\\n\",\n    \"    search_n = len(eps_list)*len(gamma_list)\\n\",\n    \"    print('Starting grid search for:\\\\n%s\\\\n%s\\\\n%d values' % (eps_list,gamma_list,search_n))\\n\",\n    \"    search = []\\n\",\n    \"    for eps_ in eps_list:\\n\",\n    \"        for gamma_ in gamma_list:\\n\",\n    \"            search.append(grid_train(env,num_epochs,gamma_,eps_))\\n\",\n    \"            if estimated == False:\\n\",\n    \"                estimated = True\\n\",\n    \"                elapsed = time.time() - start\\n\",\n    \"                print('Estimated time: %.1f minutes' % (elapsed*search_n/60))\\n\",\n    \"                \\n\",\n    \"    return search\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": null,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"search_result = grid_search(eps_list,gamma_list,iter_max)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### Train\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 11,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def train_q_learning(env):\\n\",\n    \"    print ('Start Q-Learning training:')\\n\",\n    \"    display_freq = iter_max // 10\\n\",\n    \"    \\n\",\n    \"    #Initialize Q-Table\\n\",\n    \"    q_table = np.zeros((n_states, n_states, 3)) #[number_of_positions x number_of_speeds x number_of_actionst]\\n\",\n    \"\\n\",\n    \"    \\n\",\n    \"    for i in range(iter_max):\\n\",\n    \"        obs = env.reset()\\n\",\n    \"        total_reward = 0\\n\",\n    \"        ## eta: learning rate is decreased at each step\\n\",\n    \"        eta = max(min_lr, initial_lr * (0.85 ** (i//100)))\\n\",\n    \"        \\n\",\n    \"        for j in range(t_max):\\n\",\n    \"            pos, speed = obs_to_state(env, obs) #Get action,state to pick from Q-Table\\n\",\n    \"            \\n\",\n    \"            if np.random.uniform(0, 1) < eps: #Randomize sometimes\\n\",\n    \"                action = np.random.choice(env.action_space.n)\\n\",\n    \"            else:\\n\",\n    \"                #Q-Table picking process\\n\",\n    \"                logits = q_table[pos][speed] #Actions for \\n\",\n    \"                logits_exp = np.exp(logits)\\n\",\n    \"                probs = logits_exp / np.sum(logits_exp)\\n\",\n    \"                action = np.random.choice(env.action_space.n, p=probs)\\n\",\n    \"\\n\",\n    \"            obs, reward, done, _ = env.step(action)\\n\",\n    \"            total_reward += reward\\n\",\n    \"            \\n\",\n    \"            #Update Q-Table\\n\",\n    \"            pos_, speed_ = obs_to_state(env, obs)\\n\",\n    \"            q_table[pos][speed][action] = q_table[pos][speed][action] + eta * \\\\\\n\",\n    \"            (reward + gamma *  np.max(q_table[pos_][speed_]) - q_table[pos][speed][action])\\n\",\n    \"\\n\",\n    \"            if done:\\n\",\n    \"                break\\n\",\n    \"        if i % display_freq == 0: #Write out partial results\\n\",\n    \"            print('At epoch: %d - Reward last episode: %d' %(i+1, total_reward))\\n\",\n    \"    \\n\",\n    \"    print('Training finished!')\\n\",\n    \"    solution_policy = np.argmax(q_table, axis=2)\\n\",\n    \"    solution_policy_scores = [run_episode(env, solution_policy, False) for _ in range(100)]\\n\",\n    \"    print(\\\"Average score of solution = \\\", np.mean(solution_policy_scores))\\n\",\n    \"    \\n\",\n    \"    return solution_policy\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 12,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stdout\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"Start Q-Learning training:\\n\",\n      \"At epoch: 1 - Reward last episode: -200\\n\",\n      \"At epoch: 1001 - Reward last episode: -200\\n\",\n      \"At epoch: 2001 - Reward last episode: -200\\n\",\n      \"At epoch: 3001 - Reward last episode: -200\\n\",\n      \"At epoch: 4001 - Reward last episode: -200\\n\",\n      \"At epoch: 5001 - Reward last episode: -200\\n\",\n      \"At epoch: 6001 - Reward last episode: -200\\n\",\n      \"At epoch: 7001 - Reward last episode: -200\\n\",\n      \"At epoch: 8001 - Reward last episode: -200\\n\",\n      \"At epoch: 9001 - Reward last episode: -200\\n\",\n      \"Training finished!\\n\",\n      \"Average score of solution =  -200.0\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"sol_policy = train_q_learning(env)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### Test it!\\n\",\n    \"\\n\",\n    \"Let's try to play the game with the optimal Q-Table got by the Q-Learning training process\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 13,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"data\": {\n      \"text/html\": [\n       \"\\n\",\n       \"<script language=\\\"javascript\\\">\\n\",\n       \"  /* Define the Animation class */\\n\",\n       \"  function Animation(frames, img_id, slider_id, interval, loop_select_id){\\n\",\n       \"    this.img_id = img_id;\\n\",\n       \"    this.slider_id = slider_id;\\n\",\n       \"    this.loop_select_id = loop_select_id;\\n\",\n       \"    this.interval = interval;\\n\",\n       \"    this.current_frame = 0;\\n\",\n       \"    this.direction = 0;\\n\",\n       \"    this.timer = null;\\n\",\n       \"    this.frames = new Array(frames.length);\\n\",\n       \"\\n\",\n       \"    for (var i=0; i<frames.length; i++)\\n\",\n       \"    {\\n\",\n       \"     this.frames[i] = new Image();\\n\",\n       \"     this.frames[i].src = frames[i];\\n\",\n       \"    }\\n\",\n       \"    document.getElementById(this.slider_id).max = this.frames.length - 1;\\n\",\n       \"    this.set_frame(this.current_frame);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.get_loop_state = function(){\\n\",\n       \"    var button_group = document[this.loop_select_id].state;\\n\",\n       \"    for (var i = 0; i < button_group.length; i++) {\\n\",\n       \"        var button = button_group[i];\\n\",\n       \"        if (button.checked) {\\n\",\n       \"            return button.value;\\n\",\n       \"        }\\n\",\n       \"    }\\n\",\n       \"    return undefined;\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.set_frame = function(frame){\\n\",\n       \"    this.current_frame = frame;\\n\",\n       \"    document.getElementById(this.img_id).src = this.frames[this.current_frame].src;\\n\",\n       \"    document.getElementById(this.slider_id).value = this.current_frame;\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.next_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.previous_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(Math.max(0, this.current_frame - 1));\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.first_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(0);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.last_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(this.frames.length - 1);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.slower = function()\\n\",\n       \"  {\\n\",\n       \"    this.interval /= 0.7;\\n\",\n       \"    if(this.direction > 0){this.play_animation();}\\n\",\n       \"    else if(this.direction < 0){this.reverse_animation();}\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.faster = function()\\n\",\n       \"  {\\n\",\n       \"    this.interval *= 0.7;\\n\",\n       \"    if(this.direction > 0){this.play_animation();}\\n\",\n       \"    else if(this.direction < 0){this.reverse_animation();}\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.anim_step_forward = function()\\n\",\n       \"  {\\n\",\n       \"    this.current_frame += 1;\\n\",\n       \"    if(this.current_frame < this.frames.length){\\n\",\n       \"      this.set_frame(this.current_frame);\\n\",\n       \"    }else{\\n\",\n       \"      var loop_state = this.get_loop_state();\\n\",\n       \"      if(loop_state == \\\"loop\\\"){\\n\",\n       \"        this.first_frame();\\n\",\n       \"      }else if(loop_state == \\\"reflect\\\"){\\n\",\n       \"        this.last_frame();\\n\",\n       \"        this.reverse_animation();\\n\",\n       \"      }else{\\n\",\n       \"        this.pause_animation();\\n\",\n       \"        this.last_frame();\\n\",\n       \"      }\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.anim_step_reverse = function()\\n\",\n       \"  {\\n\",\n       \"    this.current_frame -= 1;\\n\",\n       \"    if(this.current_frame >= 0){\\n\",\n       \"      this.set_frame(this.current_frame);\\n\",\n       \"    }else{\\n\",\n       \"      var loop_state = this.get_loop_state();\\n\",\n       \"      if(loop_state == \\\"loop\\\"){\\n\",\n       \"        this.last_frame();\\n\",\n       \"      }else if(loop_state == \\\"reflect\\\"){\\n\",\n       \"        this.first_frame();\\n\",\n       \"        this.play_animation();\\n\",\n       \"      }else{\\n\",\n       \"        this.pause_animation();\\n\",\n       \"        this.first_frame();\\n\",\n       \"      }\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.pause_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.direction = 0;\\n\",\n       \"    if (this.timer){\\n\",\n       \"      clearInterval(this.timer);\\n\",\n       \"      this.timer = null;\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.play_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.pause_animation();\\n\",\n       \"    this.direction = 1;\\n\",\n       \"    var t = this;\\n\",\n       \"    if (!this.timer) this.timer = setInterval(function(){t.anim_step_forward();}, this.interval);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.reverse_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.pause_animation();\\n\",\n       \"    this.direction = -1;\\n\",\n       \"    var t = this;\\n\",\n       \"    if (!this.timer) this.timer = setInterval(function(){t.anim_step_reverse();}, this.interval);\\n\",\n       \"  }\\n\",\n       \"</script>\\n\",\n       \"\\n\",\n       \"<div class=\\\"animation\\\" align=\\\"center\\\">\\n\",\n       \"    <img id=\\\"_anim_imgNMDICJGZEKEYFCZD\\\">\\n\",\n       \"    <br>\\n\",\n       \"    <input id=\\\"_anim_sliderNMDICJGZEKEYFCZD\\\" type=\\\"range\\\" style=\\\"width:350px\\\" name=\\\"points\\\" min=\\\"0\\\" max=\\\"1\\\" step=\\\"1\\\" value=\\\"0\\\" onchange=\\\"animNMDICJGZEKEYFCZD.set_frame(parseInt(this.value));\\\"></input>\\n\",\n       \"    <br>\\n\",\n       \"    <button onclick=\\\"animNMDICJGZEKEYFCZD.slower()\\\">&#8211;</button>\\n\",\n       \"    <button onclick=\\\"animNMDICJGZEKEYFCZD.first_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animNMDICJGZEKEYFCZD.previous_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAgyTCyQ6wAAANRJREFUKM9jYBjO4AiUfgzFGGAp4+yayUvX6jMwMDCsYmBgOCS4OAOrSYmMgcc8/pd5Q3irC+Neh/1AlmeBMVgZmP8yMLD8/c/cqv9r90whzv/MX7Eq/MfAwMDIwCuZdfSV8U8WDgZGRmYGrAoZGRgY/jO8b3sj/J2F6T8j4z80pzEhmIwMjAxsSbqqlkeZGP//Z8SlkJnhPwMjwx/Guoe1NhmRwk+YGH5jV8jOwMPHzcDBysAwh8FrxQwtPU99HrwBXsnAwMDAsJiBgYGBoZ1xmKYqALHhMpn1o7igAAAAAElFTkSuQmCC\\\"></button>\\n\",\n       \"    <button onclick=\\\"animNMDICJGZEKEYFCZD.reverse_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animNMDICJGZEKEYFCZD.pause_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAkR91DQ2AAAAKtJREFUKM9jYCANTEVib2K4jcRbzQihGWEC00JuNjN8Z2Q0Zo3VYWA4lL005venH9+c3ZK5IfIsMIXMBtc12Bj+MMgxMDAwMPzWe2TBzPCf4SLcZCYY4/9/RgZGBiaYFf8gljFhKiQERhUOeoX/Gf8y/GX4y/APmlj+Mfxj+MfwH64Qnnq0zr9fyfLrPzP3eQYGBobvk5x4GX4xMIij23gdib0cRWYHiVmAAQDK5ircshCbHQAAAABJRU5ErkJggg==\\\"></button>\\n\",\n       \"    <button onclick=\\\"animNMDICJGZEKEYFCZD.play_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animNMDICJGZEKEYFCZD.next_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAkd/uac8wAAAMhJREFUKM9jYBie4DEUQ8B+fEq3+3UrMzAwMFxjYGBgYJizYubaOUxYFUaXh/6vWfRfEMIL/+//P5gZJoei4/f/7wxnY1PeNUXdE2RgYGZgYoCrY2BBVsjKwMDAwvCS4f3SG/dXxm5gYESSQ1HIwvCPgZmB8f8Pxv+Kxxb/YfiPJIdi9T8GJgaG/38ZFd4Fx0xUYsZt4h8GBgb2D2bLy7KnMTAwMEIxFoVCXIYr1IoDnkF4XAysqNIwUMDAwMDAsADKS2NkGL4AAIARMlfNIfZMAAAAAElFTkSuQmCC\\\"></button>\\n\",\n       \"    <button onclick=\\\"animNMDICJGZEKEYFCZD.last_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animNMDICJGZEKEYFCZD.faster()\\\">+</button>\\n\",\n       \"  <form action=\\\"#n\\\" name=\\\"_anim_loop_selectNMDICJGZEKEYFCZD\\\" class=\\\"anim_control\\\">\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"once\\\" > Once </input>\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"loop\\\" checked> Loop </input>\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"reflect\\\" > Reflect </input>\\n\",\n       \"  </form>\\n\",\n       \"</div>\\n\",\n       \"\\n\",\n       \"\\n\",\n       \"<script language=\\\"javascript\\\">\\n\",\n       \"  /* Instantiate the Animation class. */\\n\",\n       \"  /* The IDs given should match those used in the template above. */\\n\",\n       \"  (function() {\\n\",\n       \"    var img_id = \\\"_anim_imgNMDICJGZEKEYFCZD\\\";\\n\",\n       \"    var slider_id = \\\"_anim_sliderNMDICJGZEKEYFCZD\\\";\\n\",\n       \"    var loop_select_id = \\\"_anim_loop_selectNMDICJGZEKEYFCZD\\\";\\n\",\n       \"    var frames = new Array(0);\\n\",\n       \"    \\n\",\n       \"  frames[0] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[1] = 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      \"  frames[199] = 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      \"\\n\",\n       \"\\n\",\n       \"    /* set a timeout to make sure all the above elements are created before\\n\",\n       \"       the object is initialized. */\\n\",\n       \"    setTimeout(function() {\\n\",\n       \"        animNMDICJGZEKEYFCZD = new Animation(frames, img_id, slider_id, 50, loop_select_id);\\n\",\n       \"    }, 0);\\n\",\n       \"  })()\\n\",\n       \"</script>\\n\"\n      ],\n      \"text/plain\": [\n       \"<IPython.core.display.HTML object>\"\n      ]\n     },\n     \"metadata\": {},\n     \"output_type\": \"display_data\"\n    },\n    {\n     \"data\": {\n      \"text/plain\": [\n       \"-200.0\"\n      ]\n     },\n     \"execution_count\": 13,\n     \"metadata\": {},\n     \"output_type\": \"execute_result\"\n    }\n   ],\n   \"source\": [\n    \"# Animate it\\n\",\n    \"run_episode(env, sol_policy, True)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"source\": [\n    \"WOOHOO!\"\n   ]\n  }\n ],\n \"metadata\": {\n  \"kernelspec\": {\n   \"display_name\": \"Python 3\",\n   \"language\": \"python\",\n   \"name\": \"python3\"\n  },\n  \"language_info\": {\n   \"codemirror_mode\": {\n    \"name\": \"ipython\",\n    \"version\": 3\n   },\n   \"file_extension\": \".py\",\n   \"mimetype\": \"text/x-python\",\n   \"name\": \"python\",\n   \"nbconvert_exporter\": \"python\",\n   \"pygments_lexer\": \"ipython3\",\n   \"version\": \"3.6.1\"\n  }\n },\n \"nbformat\": 4,\n \"nbformat_minor\": 2\n}\n"
  },
  {
    "path": "Week 3/README.md",
    "content": "## Coding Challenge -- (Not submitted)\n\nThis week's coding challenge is to implement Q-Learning algorithm. Here it is built for the <a href=\"https://gym.openai.com/envs/MountainCarContinuous-v0/\">MountainCarContinuous-v0</a> environment by OpenAI Gym library. By <a href=\"https://github.com/llSourcell/AI_for_Video_Games_Syllabus\">Siraj Raval.</a>\n\nThe submission file is: <a href=\"QLearning_MountainCar.ipynb\">QLearning_MountainCar.ipynb</a>\n\n## Dependencies for challenge\n\n* numpy\n* [OpenAI Gym](https://gym.openai.com/docs/)\n\n\n### References\n\n[Siraj Raval - Youtube - Monte Carlo Prediction](https://www.youtube.com/watch?v=aCEvtRtNO-M&ab_channel=SirajRaval)\n\n[MountainCarContinuous-v0 - OpenAI Gym](https://gym.openai.com/envs/MountainCarContinuous-v0/)\n\n[Deep Reinforcement Learning Demysitifed (Episode 2) — Policy Iteration, Value Iteration and Q-learning](https://medium.com/@m.alzantot/deep-reinforcement-learning-demysitifed-episode-2-policy-iteration-value-iteration-and-q-978f9e89ddaa)"
  },
  {
    "path": "Week 4/Policy_Gradients_Pong.ipynb",
    "content": "{\n \"cells\": [\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"# Policy Gradients algorithm for Pong\\n\",\n    \"\\n\",\n    \"Trains an agent with (stochastic) Policy Gradients on Pong. Uses OpenAI Gym.\\n\",\n    \"\\n\",\n    \"Original source: [Deep Reinforcement Learning: Pong from Pixels](http://karpathy.github.io/2016/05/31/rl/)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Imports\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 1,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"import numpy as np\\n\",\n    \"import _pickle as pickle\\n\",\n    \"import gym\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Hyperparameters\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"*H*: Number of hidden layers neurons<br>\\n\",\n    \"*batch_size*: Number of episodes to do param update<br>\\n\",\n    \"*gamma*: Discount factor for reward<br>\\n\",\n    \"*decay_rate*: Decay factor for optimizer<br>\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 2,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"H = 200\\n\",\n    \"batch_size = 10 \\n\",\n    \"learning_rate = 1e-4\\n\",\n    \"gamma = 0.99 \\n\",\n    \"decay_rate = 0.99\\n\",\n    \"\\n\",\n    \"resume = False\\n\",\n    \"render = False\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Model initialization\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 3,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def init_model():\\n\",\n    \"    '''\\n\",\n    \"    Initialization of the neural network model\\n\",\n    \"    '''\\n\",\n    \"    D = 80 * 80 #Input dimen\\n\",\n    \"    if resume:\\n\",\n    \"        pass\\n\",\n    \"    else:\\n\",\n    \"        model = {}\\n\",\n    \"        model['W1'] = np.random.randn(H,D) / np.sqrt(D) #\\\"Xavier\\\" init\\n\",\n    \"        model['W2'] = np.random.randn(H) / np.sqrt(H)\\n\",\n    \"\\n\",\n    \"    #Update buffers that add up gradients over a batch\\n\",\n    \"    grad_buffer = { k : np.zeros_like(v) for k,v in model.items()}  \\n\",\n    \"    #Rmsprop memory\\n\",\n    \"    rmsprop_cache = { k : np.zeros_like(v) for k,v in model.items()}\\n\",\n    \"    \\n\",\n    \"    return model, grad_buffer, rmsprop_cache\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Activation function\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 4,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def sigmoid(x):\\n\",\n    \"    return 1.0/(1.0 + np.exp(-x))\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Preprocessing\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 5,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def prepro(I):\\n\",\n    \"    '''\\n\",\n    \"    Preprocess 210x160x3 uint8 frame into (80x80) 1D float vector\\n\",\n    \"    '''\\n\",\n    \"    I = I[35:195] #Crop\\n\",\n    \"    I = I[::2,::2,0] #Downsample by factor of 2\\n\",\n    \"    I[I==144] = 0 #Erase background type 1\\n\",\n    \"    I[I==109] = 0 #Erase background type 2\\n\",\n    \"    I[I != 0] = 1 #Everything else set to 1\\n\",\n    \"    return I.astype(np.float).ravel()\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Rewarding\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 6,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def discount_reward(r):\\n\",\n    \"    '''\\n\",\n    \"    Take 1D float array of rewards and compute discounted reward\\n\",\n    \"    '''\\n\",\n    \"    discounted_r = np.zeros_like(r)\\n\",\n    \"    running_add = 0\\n\",\n    \"    for t in reversed(range(0,r.size)):\\n\",\n    \"        if r[t] != 0: running_add = 0 #Reset the sum, since this was a game boundary\\n\",\n    \"        running_add = running_add * gamma + r[t]\\n\",\n    \"        discounted_r[t] = running_add\\n\",\n    \"    return discounted_r\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Forward propagation\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 7,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def policy_forward(x):\\n\",\n    \"    h = np.dot(model['W1'],x)\\n\",\n    \"    h[h<0] = 0 #ReLU\\n\",\n    \"    logp = np.dot(model['W2'],h)\\n\",\n    \"    p = sigmoid(logp)\\n\",\n    \"    return p,h #Return prob and hidden state\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Backprop\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 8,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def policy_backward(eph, epdlogp):\\n\",\n    \"    '''\\n\",\n    \"    Backward pass (eph is array of intermediate hidden states)\\n\",\n    \"    '''\\n\",\n    \"    dW2 = np.dot(eph.T, epdlogp).ravel()\\n\",\n    \"    dh = np.outer(epdlogp, model['W2'])\\n\",\n    \"    dh[eph <= 0] = 0 #Backprop prelu\\n\",\n    \"    dW1 = np.dot(dh.T, epx)\\n\",\n    \"    return {'W1':dW1, 'W2': dW2}\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Training\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 9,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def train():\\n\",\n    \"    env = gym.make('Pong-v0') #No module\\n\",\n    \"    observation = env.reset()\\n\",\n    \"    prev_x = None #Computing the difference frame\\n\",\n    \"    xs,hs,dlogps,drs = [],[],[],[]\\n\",\n    \"    running_reward = None\\n\",\n    \"    reward_sum = 0\\n\",\n    \"    episode_number = 0\\n\",\n    \"    while True:\\n\",\n    \"        if render: env.render()\\n\",\n    \"\\n\",\n    \"        #Preprocess the observation, set input to network to be difference image\\n\",\n    \"        cur_x = prepro(observation)\\n\",\n    \"        x = cur_x - prev_x if prev_x is not None else np.zeros(D)\\n\",\n    \"        prev_x = cur_x\\n\",\n    \"\\n\",\n    \"        #Forward the policy network and sample action from the returned prob\\n\",\n    \"        aprob, h = policy_forward(x)\\n\",\n    \"        action = 2 if np.random.uniform() < aprob else 3 #roll the dice!\\n\",\n    \"\\n\",\n    \"        #Record various intermediates (needed later for backprop)\\n\",\n    \"        xs.append(x) #Observation\\n\",\n    \"        hs.append(h) #Hidden state\\n\",\n    \"        y = 1 if action == 2 else 0 #A 'fake label'\\n\",\n    \"        dlogps.append(y - aprob) #Grad that encourages the action that was taken to be taken\\n\",\n    \"\\n\",\n    \"        #Step the environment and get new measurements\\n\",\n    \"        observation, reward, done, info = env.step(action)\\n\",\n    \"        reward_sum += reward\\n\",\n    \"\\n\",\n    \"        drs.append(reward) # Record reward (has to be done after we call step() to get reward for previous action)\\n\",\n    \"\\n\",\n    \"        if done:\\n\",\n    \"            episode_number += 1\\n\",\n    \"\\n\",\n    \"            #Stack together all inputs, hs, action gradients, and rewards for this episode\\n\",\n    \"            epx = np.vstack(xs)\\n\",\n    \"            eph = np.vstack(hs)\\n\",\n    \"            epdlogp = np.vstack(dlogps)\\n\",\n    \"            epr = np.vstack(drs)\\n\",\n    \"            xs,hs,dlogps,drs = [],[],[],[]\\n\",\n    \"\\n\",\n    \"            #Compute the discounted reward backwards through time\\n\",\n    \"            discounted_epr = discount_rewards(epr)\\n\",\n    \"            #Standardize the rewards to be unit normal\\n\",\n    \"            discounted_epr -= np.mean(discounted_epr)\\n\",\n    \"            discounted_epr /= np.std(discounted_epr)\\n\",\n    \"\\n\",\n    \"            #Policy gradient magic\\n\",\n    \"            epdlogp *= discount_reward # Modulate the gradient with advantage\\n\",\n    \"            grad = policy_backward(eph, epdlogp)\\n\",\n    \"            for k in model: grad_buffer[k] += grad[k] #Accumulate grad over batch\\n\",\n    \"\\n\",\n    \"            #Perform rmsprop parameter update every batch_size episodes\\n\",\n    \"            if episode_number % batch_size == 0:\\n\",\n    \"                for k,v in model.items():\\n\",\n    \"                    g = grad_buffer[k] #Gradient\\n\",\n    \"                    rmsprop_cache[k] = decay_rate * rmsprop_cache[k] + (1 - decay_rate) * g**2\\n\",\n    \"                    model[k] += learning_rate * g / (np.sqrt(rmsprop_cache[k]) + 1e-5)\\n\",\n    \"                    grad_buffer[k] = np.zeros_like(v) #Reset batch gradient buffer\\n\",\n    \"\\n\",\n    \"            #Boring book-keeping\\n\",\n    \"            running_reward = reward_sum if running_reward is None else running_reward * 0.99 + reward_sum * 0.01\\n\",\n    \"            print('Resetting env. episode reward total was %.3f. running mean: %.3f' % (reward_sum, running_reward))\\n\",\n    \"            if episode_number % 100 == 0: pickle.dump(model, open('save.p','wb'))\\n\",\n    \"            reward_sum = 0\\n\",\n    \"            observation = env.reset()\\n\",\n    \"            prev_x = None\\n\",\n    \"\\n\",\n    \"        if reward != 0: #Pong has either +1 or -1 reward exactly when game ends\\n\",\n    \"            print('Ep %d: game finished, reward: %.f' % (episode_number,reward)) + ('' if reward == -1 else ' !!!!!!!!')\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Warning\\n\",\n    \"\\n\",\n    \"Pong environment not available on Windows (12/10/17)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## References\\n\",\n    \"\\n\",\n    \"1. [Deep Reinforcement Learning: Pong from Pixels](http://karpathy.github.io/2016/05/31/rl/)\\n\",\n    \"2. [Simple Reinforcement Learning with Tensorflow: Part 2 - Policy-based Agents](https://medium.com/@awjuliani/super-simple-reinforcement-learning-tutorial-part-2-ded33892c724)\\n\",\n    \"3. [Reinforcement learning with policy gradient](http://minpy.readthedocs.io/en/latest/tutorial/rl_policy_gradient_tutorial/rl_policy_gradient.html)\\n\",\n    \"4. [Deep Deterministic Policy Gradients in TensorFlow](http://pemami4911.github.io/blog/2016/08/21/ddpg-rl.html)\\n\",\n    \"5. [Simple reinforcement learning methods to learn CartPole](http://kvfrans.com/simple-algoritms-for-solving-cartpole/)\\n\",\n    \"6. [REINFORCEMENT LEARNING (RL) – POLICY GRADIENTS I](https://theneuralperspective.com/2016/11/25/reinforcement-learning-rl-policy-gradients-i/)\\n\",\n    \"7. [Solving the Basic Game of Pong](https://www.youtube.com/watch?v=pN7ETkOizGM&ab_channel=SirajRaval)\\n\",\n    \"8. [Pong-v0](https://gym.openai.com/envs/Pong-v0/)\"\n   ]\n  }\n ],\n \"metadata\": {\n  \"kernelspec\": {\n   \"display_name\": \"Python 3\",\n   \"language\": \"python\",\n   \"name\": \"python3\"\n  },\n  \"language_info\": {\n   \"codemirror_mode\": {\n    \"name\": \"ipython\",\n    \"version\": 3\n   },\n   \"file_extension\": \".py\",\n   \"mimetype\": \"text/x-python\",\n   \"name\": \"python\",\n   \"nbconvert_exporter\": \"python\",\n   \"pygments_lexer\": \"ipython3\",\n   \"version\": \"3.6.1\"\n  }\n },\n \"nbformat\": 4,\n \"nbformat_minor\": 2\n}\n"
  },
  {
    "path": "Week 4/README.md",
    "content": "## Coding Challenge -- (Not submitted)\n\nThis week's coding challenge is to implement Policy Gradients algorithm. Here it is built for the <a href=\"https://gym.openai.com/envs/Pong-v0/\">Pong-v0</a> environment by OpenAI Gym library. By <a href=\"https://github.com/llSourcell/AI_for_Video_Games_Syllabus\">Siraj Raval.</a>\n\nThe submission file is: <a href=\"Policy_Gradients_Pong.ipynb\">Policy_Gradients_Pong.ipynb</a>\n\n## Dependencies for challenge\n\n* numpy\n* [OpenAI Gym](https://gym.openai.com/docs/)\n\n\n### References\n\n1. [Deep Reinforcement Learning: Pong from Pixels](http://karpathy.github.io/2016/05/31/rl/)\n2. [Simple Reinforcement Learning with Tensorflow: Part 2 - Policy-based Agents](https://medium.com/@awjuliani/super-simple-reinforcement-learning-tutorial-part-2-ded33892c724)\n3. [Reinforcement learning with policy gradient](http://minpy.readthedocs.io/en/latest/tutorial/rl_policy_gradient_tutorial/rl_policy_gradient.html)\n4. [Deep Deterministic Policy Gradients in TensorFlow](http://pemami4911.github.io/blog/2016/08/21/ddpg-rl.html)\n5. [Simple reinforcement learning methods to learn CartPole](http://kvfrans.com/simple-algoritms-for-solving-cartpole/)\n6. [REINFORCEMENT LEARNING (RL) – POLICY GRADIENTS I](https://theneuralperspective.com/2016/11/25/reinforcement-learning-rl-policy-gradients-i/)\n7. [Solving the Basic Game of Pong](https://www.youtube.com/watch?v=pN7ETkOizGM&ab_channel=SirajRaval)\n8. [Pong-v0](https://gym.openai.com/envs/Pong-v0/)"
  },
  {
    "path": "Week 5/.ipynb_checkpoints/Actor_Critic_Model_Pendulum-checkpoint.ipynb",
    "content": "{\n \"cells\": [\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"# Actor-critic model for Pendulum\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Imports\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 1,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stderr\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"Using TensorFlow backend.\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"import gym\\n\",\n    \"import numpy as np\\n\",\n    \"from keras.models import Sequential, Model\\n\",\n    \"from keras.layers import Dense, Dropout, Input\\n\",\n    \"from keras.layers.merge import Add, Multiply\\n\",\n    \"from keras.optimizers import Adam\\n\",\n    \"import keras.backend as K\\n\",\n    \"\\n\",\n    \"import tensorflow as tf\\n\",\n    \"\\n\",\n    \"import random\\n\",\n    \"\\n\",\n    \"from collections import deque\\n\",\n    \"\\n\",\n    \"# Imports specifically so we can render outputs in Jupyter.\\n\",\n    \"import matplotlib.pyplot as plt\\n\",\n    \"%matplotlib inline\\n\",\n    \"from JSAnimation.IPython_display import display_animation\\n\",\n    \"from matplotlib import animation\\n\",\n    \"from IPython.display import display\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Utils functions (display)\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 2,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def display_frames_as_gif(frames):\\n\",\n    \"    \\\"\\\"\\\"\\n\",\n    \"    Displays a list of frames as a gif, with controls\\n\",\n    \"    \\\"\\\"\\\"\\n\",\n    \"    patch = plt.imshow(frames[0])\\n\",\n    \"    plt.axis('off')\\n\",\n    \"\\n\",\n    \"    def animate(i):\\n\",\n    \"        patch.set_data(frames[i])\\n\",\n    \"\\n\",\n    \"    anim = animation.FuncAnimation(plt.gcf(), animate, frames = len(frames), interval=50)\\n\",\n    \"    display(display_animation(anim, default_mode='loop'))\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Class ActorCritic\\n\",\n    \"\\n\",\n    \"Determines how to assign values to each state, i.e. takes the state and action (two-input model) and determines the corresponding value\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 3,\n   \"metadata\": {},\n   \"outputs\": [],\n   \"source\": [\n    \"class ActorCritic:\\n\",\n    \"    def __init__(self, env, sess):\\n\",\n    \"        self.env = env\\n\",\n    \"        self.sess = sess\\n\",\n    \"        \\n\",\n    \"        self.learning_rate = 0.001\\n\",\n    \"        self.epsilon = 1.0\\n\",\n    \"        self.epsilon_decay = .995\\n\",\n    \"        self.gamma = .95\\n\",\n    \"        self.tau = .125\\n\",\n    \"        \\n\",\n    \"        #Actor model - Chain rule\\n\",\n    \"        #Calculate de/dA as = de/dC * dC/dA, where e is error, C critic, A actor\\n\",\n    \"        self.memory = deque(maxlen=2000)\\n\",\n    \"        self.actor_state_input, self.actor_model = self.create_actor_model()\\n\",\n    \"        _, self.target_actor_model = self.create_actor_model()\\n\",\n    \"        \\n\",\n    \"        self.actor_critic_grad = tf.placeholder(tf.float32, [None, self.env.action_space.shape[0]]) #Feed de/dC from Critic\\n\",\n    \"        actor_model_weights = self.actor_model.trainable_weights\\n\",\n    \"        self.actor_grads = tf.gradients(self.actor_model.output, actor_model_weights, -self.actor_critic_grad) #dC/dA from Act\\n\",\n    \"        grads = zip(self.actor_grads, actor_model_weights)\\n\",\n    \"        self.optimize = tf.train.AdamOptimizer(self.learning_rate).apply_gradients(grads)\\n\",\n    \"        \\n\",\n    \"        #Critic model\\n\",\n    \"        \\n\",\n    \"        self.critic_state_input, self.critic_action_input, self.critic_model = self.create_critic_model()\\n\",\n    \"        _, _, self.target_critic_model = self.create_critic_model()\\n\",\n    \"        \\n\",\n    \"        self.critic_grads = tf.gradients(self.critic_model.output, self.critic_action_input) #Where we calculate de/dC\\n\",\n    \"        \\n\",\n    \"        #Initialize for later gradient calculations\\n\",\n    \"        self.sess.run(tf.global_variables_initializer())\\n\",\n    \"        \\n\",\n    \"    \\n\",\n    \"    #MODEL DEFINITIONS\\n\",\n    \"    def create_actor_model(self):\\n\",\n    \"        state_input = Input(shape=self.env.observation_space.shape)\\n\",\n    \"        h1 = Dense(24, activation='relu')(state_input)\\n\",\n    \"        h2 = Dense(48, activation='relu')(h1)\\n\",\n    \"        h3 = Dense(24, activation='relu')(h2)\\n\",\n    \"        output = Dense(self.env.action_space.shape[0], activation='relu')(h3)\\n\",\n    \"        \\n\",\n    \"        model = Model(inputs=state_input, outputs=output)\\n\",\n    \"        adam = Adam(lr=0.001)\\n\",\n    \"        model.compile(loss='mse',optimizer=adam)\\n\",\n    \"        return state_input, model\\n\",\n    \"    \\n\",\n    \"    def create_critic_model(self):\\n\",\n    \"        state_input = Input(shape=self.env.observation_space.shape)\\n\",\n    \"        state_h1 = Dense(24, activation='relu')(state_input)\\n\",\n    \"        state_h2 = Dense(48)(state_h1)\\n\",\n    \"        \\n\",\n    \"        action_input = Input(shape=self.env.action_space.shape)\\n\",\n    \"        action_h1 = Dense(48)(action_input)\\n\",\n    \"        \\n\",\n    \"        merged = Add()([state_h2, action_h1])\\n\",\n    \"        merged_h1 = Dense(24, activation='relu')(merged)\\n\",\n    \"        output = Dense(1, activation='relu')(merged_h1)\\n\",\n    \"        model = Model(inputs=[state_input, action_input], outputs=output)\\n\",\n    \"        \\n\",\n    \"        adam = Adam(lr=0.001)\\n\",\n    \"        model.compile(loss='mse', optimizer=adam)\\n\",\n    \"        return state_input, action_input, model\\n\",\n    \"    \\n\",\n    \"    #MODEL TRAINING\\n\",\n    \"    def remember(self, cur_state, action, reward, new_state, done):\\n\",\n    \"        self.memory.append([cur_state, action, reward, new_state, done])\\n\",\n    \"        \\n\",\n    \"        \\n\",\n    \"    def _train_actor(self, samples):\\n\",\n    \"        for sample in samples:\\n\",\n    \"            cur_state, action, reward, new_state, _ = sample\\n\",\n    \"            predicted_action = self.actor_model.predict(cur_state)\\n\",\n    \"            feed = {self.critic_state_input: cur_state, self.critic_action_input: predicted_action}\\n\",\n    \"            grads = self.sess.run(self.critic_grads, feed_dict=feed)[0]\\n\",\n    \"            \\n\",\n    \"            self.sess.run(self.optimize, feed_dict = {self.actor_state_input: cur_state, self.actor_critic_grad: grads})\\n\",\n    \"            \\n\",\n    \"            \\n\",\n    \"    def _train_critic(self, samples):\\n\",\n    \"        for sample in samples:\\n\",\n    \"            cur_state, action, reward, new_state, done = sample\\n\",\n    \"            \\n\",\n    \"            if not done:\\n\",\n    \"                target_action = self.target_actor_model.predict(new_state)\\n\",\n    \"                future_reward = self.target_critic_model.predict([new_state, target_action])[0][0]\\n\",\n    \"                reward += self.gamma * future_reward\\n\",\n    \"            \\n\",\n    \"            self.critic_model.fit([cur_state, action], reward, verbose=0)\\n\",\n    \"            \\n\",\n    \"            \\n\",\n    \"    def train(self):\\n\",\n    \"        batch_size = 32\\n\",\n    \"        if(len(self.memory) < batch_size):\\n\",\n    \"            return\\n\",\n    \"        \\n\",\n    \"        rewards = []\\n\",\n    \"        samples = random.sample(self.memory, batch_size)\\n\",\n    \"        self._train_critic(samples)\\n\",\n    \"        self._train_actor(samples)\\n\",\n    \"        \\n\",\n    \"        \\n\",\n    \"    #TARGET MODEL UPDATING\\n\",\n    \"    def _update_actor_target(self):\\n\",\n    \"        actor_model_weights = self.actor_model.get_weights()\\n\",\n    \"        actor_target_weights = self.target_critic_model.get_weights()\\n\",\n    \"        \\n\",\n    \"        for i in range(len(actor_target_weights)):\\n\",\n    \"            actor_target_weights[i] = actor_model_weights[i]\\n\",\n    \"        self.target_critic_model.set_weights(actor_target_weights)\\n\",\n    \"        \\n\",\n    \"        \\n\",\n    \"    def _update_critic_target(self):\\n\",\n    \"        critic_model_weights = self.critic_model.get_weights()\\n\",\n    \"        critic_target_weights = self.critic_target_model.get_weights()\\n\",\n    \"        \\n\",\n    \"        for i in range(len(critic_target_weights)):\\n\",\n    \"            critic_target_weights[i] = critic_model_weights[i]\\n\",\n    \"        self.critic_target_model.set_weights(critic_target_weights)\\n\",\n    \"        \\n\",\n    \"    def update_target(self):\\n\",\n    \"        self._update_actor_target()\\n\",\n    \"        self._update_critic_target()\\n\",\n    \"        \\n\",\n    \"        \\n\",\n    \"    #MODEL PREDICTIONS\\n\",\n    \"    \\n\",\n    \"    def act(self, cur_state):\\n\",\n    \"        self.epsilon *= self.epsilon_decay\\n\",\n    \"        if np.random.random() < self.epsilon:\\n\",\n    \"            return self.env.action_space.sample()\\n\",\n    \"        return self.actor_model.predict(cur_state)    \"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Train function\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 4,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def train(env,num_trials=100,render=False):\\n\",\n    \"    sess = tf.Session()\\n\",\n    \"    K.set_session(sess)\\n\",\n    \"    actor_critic = ActorCritic(env, sess)\\n\",\n    \"    \\n\",\n    \"    #Initialize environment\\n\",\n    \"    cur_state = env.reset()\\n\",\n    \"    action = env.action_space.sample()\\n\",\n    \"    \\n\",\n    \"    frames = []\\n\",\n    \"        \\n\",\n    \"    display_freq = num_trials//10\\n\",\n    \"    i = 0\\n\",\n    \"    while True:\\n\",\n    \"        if(i % display_freq == 0):\\n\",\n    \"            print('At trial %d' % i)\\n\",\n    \"        if render:\\n\",\n    \"            frames.append(env.render(mode = 'rgb_array'))\\n\",\n    \"        \\n\",\n    \"        cur_state = cur_state.reshape((1,env.observation_space.shape[0]))\\n\",\n    \"        action = actor_critic.act(cur_state)\\n\",\n    \"        action = action.reshape((1, env.action_space.shape[0]))\\n\",\n    \"        \\n\",\n    \"        new_state, reward, done, _ = env.step(action)\\n\",\n    \"        new_state = new_state.reshape((1, env.observation_space.shape[0]))\\n\",\n    \"        \\n\",\n    \"        actor_critic.remember(cur_state, action, reward, new_state, done)\\n\",\n    \"        actor_critic.train()\\n\",\n    \"        \\n\",\n    \"        cur_state = new_state\\n\",\n    \"        i+=1\\n\",\n    \"        \\n\",\n    \"        if(i == num_trials):\\n\",\n    \"            break\\n\",\n    \"        \\n\",\n    \"    if render:\\n\",\n    \"        env.render(close=True)\\n\",\n    \"        display_frames_as_gif(frames)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Hyperparams \"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 8,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"num_trials = 100\\n\",\n    \"trial_len = 500\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Environment\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 9,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stderr\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"[2017-12-16 15:08:01,733] Making new env: Pendulum-v0\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"env = gym.make(\\\"Pendulum-v0\\\")\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 10,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stdout\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"At trial 0\\n\",\n      \"At trial 10\\n\",\n      \"At trial 20\\n\",\n      \"At trial 30\\n\",\n      \"At trial 40\\n\",\n      \"At trial 50\\n\",\n      \"At trial 60\\n\",\n      \"At trial 70\\n\",\n      \"At trial 80\\n\",\n      \"At trial 90\\n\"\n     ]\n    },\n    {\n     \"data\": {\n      \"text/html\": [\n       \"\\n\",\n       \"<script language=\\\"javascript\\\">\\n\",\n       \"  /* Define the Animation class */\\n\",\n       \"  function Animation(frames, img_id, slider_id, interval, loop_select_id){\\n\",\n       \"    this.img_id = img_id;\\n\",\n       \"    this.slider_id = slider_id;\\n\",\n       \"    this.loop_select_id = loop_select_id;\\n\",\n       \"    this.interval = interval;\\n\",\n       \"    this.current_frame = 0;\\n\",\n       \"    this.direction = 0;\\n\",\n       \"    this.timer = null;\\n\",\n       \"    this.frames = new Array(frames.length);\\n\",\n       \"\\n\",\n       \"    for (var i=0; i<frames.length; i++)\\n\",\n       \"    {\\n\",\n       \"     this.frames[i] = new Image();\\n\",\n       \"     this.frames[i].src = frames[i];\\n\",\n       \"    }\\n\",\n       \"    document.getElementById(this.slider_id).max = this.frames.length - 1;\\n\",\n       \"    this.set_frame(this.current_frame);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.get_loop_state = function(){\\n\",\n       \"    var button_group = document[this.loop_select_id].state;\\n\",\n       \"    for (var i = 0; i < button_group.length; i++) {\\n\",\n       \"        var button = button_group[i];\\n\",\n       \"        if (button.checked) {\\n\",\n       \"            return button.value;\\n\",\n       \"        }\\n\",\n       \"    }\\n\",\n       \"    return undefined;\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.set_frame = function(frame){\\n\",\n       \"    this.current_frame = frame;\\n\",\n       \"    document.getElementById(this.img_id).src = this.frames[this.current_frame].src;\\n\",\n       \"    document.getElementById(this.slider_id).value = this.current_frame;\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.next_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.previous_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(Math.max(0, this.current_frame - 1));\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.first_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(0);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.last_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(this.frames.length - 1);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.slower = function()\\n\",\n       \"  {\\n\",\n       \"    this.interval /= 0.7;\\n\",\n       \"    if(this.direction > 0){this.play_animation();}\\n\",\n       \"    else if(this.direction < 0){this.reverse_animation();}\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.faster = function()\\n\",\n       \"  {\\n\",\n       \"    this.interval *= 0.7;\\n\",\n       \"    if(this.direction > 0){this.play_animation();}\\n\",\n       \"    else if(this.direction < 0){this.reverse_animation();}\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.anim_step_forward = function()\\n\",\n       \"  {\\n\",\n       \"    this.current_frame += 1;\\n\",\n       \"    if(this.current_frame < this.frames.length){\\n\",\n       \"      this.set_frame(this.current_frame);\\n\",\n       \"    }else{\\n\",\n       \"      var loop_state = this.get_loop_state();\\n\",\n       \"      if(loop_state == \\\"loop\\\"){\\n\",\n       \"        this.first_frame();\\n\",\n       \"      }else if(loop_state == \\\"reflect\\\"){\\n\",\n       \"        this.last_frame();\\n\",\n       \"        this.reverse_animation();\\n\",\n       \"      }else{\\n\",\n       \"        this.pause_animation();\\n\",\n       \"        this.last_frame();\\n\",\n       \"      }\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.anim_step_reverse = function()\\n\",\n       \"  {\\n\",\n       \"    this.current_frame -= 1;\\n\",\n       \"    if(this.current_frame >= 0){\\n\",\n       \"      this.set_frame(this.current_frame);\\n\",\n       \"    }else{\\n\",\n       \"      var loop_state = this.get_loop_state();\\n\",\n       \"      if(loop_state == \\\"loop\\\"){\\n\",\n       \"        this.last_frame();\\n\",\n       \"      }else if(loop_state == \\\"reflect\\\"){\\n\",\n       \"        this.first_frame();\\n\",\n       \"        this.play_animation();\\n\",\n       \"      }else{\\n\",\n       \"        this.pause_animation();\\n\",\n       \"        this.first_frame();\\n\",\n       \"      }\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.pause_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.direction = 0;\\n\",\n       \"    if (this.timer){\\n\",\n       \"      clearInterval(this.timer);\\n\",\n       \"      this.timer = null;\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.play_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.pause_animation();\\n\",\n       \"    this.direction = 1;\\n\",\n       \"    var t = this;\\n\",\n       \"    if (!this.timer) this.timer = setInterval(function(){t.anim_step_forward();}, this.interval);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.reverse_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.pause_animation();\\n\",\n       \"    this.direction = -1;\\n\",\n       \"    var t = this;\\n\",\n       \"    if (!this.timer) this.timer = setInterval(function(){t.anim_step_reverse();}, this.interval);\\n\",\n       \"  }\\n\",\n       \"</script>\\n\",\n       \"\\n\",\n       \"<div class=\\\"animation\\\" align=\\\"center\\\">\\n\",\n       \"    <img id=\\\"_anim_imgAXKRJRGHYTKADKHZ\\\">\\n\",\n       \"    <br>\\n\",\n       \"    <input id=\\\"_anim_sliderAXKRJRGHYTKADKHZ\\\" type=\\\"range\\\" style=\\\"width:350px\\\" name=\\\"points\\\" min=\\\"0\\\" max=\\\"1\\\" step=\\\"1\\\" value=\\\"0\\\" onchange=\\\"animAXKRJRGHYTKADKHZ.set_frame(parseInt(this.value));\\\"></input>\\n\",\n       \"    <br>\\n\",\n       \"    <button onclick=\\\"animAXKRJRGHYTKADKHZ.slower()\\\">&#8211;</button>\\n\",\n       \"    <button onclick=\\\"animAXKRJRGHYTKADKHZ.first_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAXKRJRGHYTKADKHZ.previous_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAgyTCyQ6wAAANRJREFUKM9jYBjO4AiUfgzFGGAp4+yayUvX6jMwMDCsYmBgOCS4OAOrSYmMgcc8/pd5Q3irC+Neh/1AlmeBMVgZmP8yMLD8/c/cqv9r90whzv/MX7Eq/MfAwMDIwCuZdfSV8U8WDgZGRmYGrAoZGRgY/jO8b3sj/J2F6T8j4z80pzEhmIwMjAxsSbqqlkeZGP//Z8SlkJnhPwMjwx/Guoe1NhmRwk+YGH5jV8jOwMPHzcDBysAwh8FrxQwtPU99HrwBXsnAwMDAsJiBgYGBoZ1xmKYqALHhMpn1o7igAAAAAElFTkSuQmCC\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAXKRJRGHYTKADKHZ.reverse_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAXKRJRGHYTKADKHZ.pause_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAkR91DQ2AAAAKtJREFUKM9jYCANTEVib2K4jcRbzQihGWEC00JuNjN8Z2Q0Zo3VYWA4lL005venH9+c3ZK5IfIsMIXMBtc12Bj+MMgxMDAwMPzWe2TBzPCf4SLcZCYY4/9/RgZGBiaYFf8gljFhKiQERhUOeoX/Gf8y/GX4y/APmlj+Mfxj+MfwH64Qnnq0zr9fyfLrPzP3eQYGBobvk5x4GX4xMIij23gdib0cRWYHiVmAAQDK5ircshCbHQAAAABJRU5ErkJggg==\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAXKRJRGHYTKADKHZ.play_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAXKRJRGHYTKADKHZ.next_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAkd/uac8wAAAMhJREFUKM9jYBie4DEUQ8B+fEq3+3UrMzAwMFxjYGBgYJizYubaOUxYFUaXh/6vWfRfEMIL/+//P5gZJoei4/f/7wxnY1PeNUXdE2RgYGZgYoCrY2BBVsjKwMDAwvCS4f3SG/dXxm5gYESSQ1HIwvCPgZmB8f8Pxv+Kxxb/YfiPJIdi9T8GJgaG/38ZFd4Fx0xUYsZt4h8GBgb2D2bLy7KnMTAwMEIxFoVCXIYr1IoDnkF4XAysqNIwUMDAwMDAsADKS2NkGL4AAIARMlfNIfZMAAAAAElFTkSuQmCC\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAXKRJRGHYTKADKHZ.last_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAXKRJRGHYTKADKHZ.faster()\\\">+</button>\\n\",\n       \"  <form action=\\\"#n\\\" name=\\\"_anim_loop_selectAXKRJRGHYTKADKHZ\\\" class=\\\"anim_control\\\">\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"once\\\" > Once </input>\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"loop\\\" checked> Loop </input>\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"reflect\\\" > Reflect </input>\\n\",\n       \"  </form>\\n\",\n       \"</div>\\n\",\n       \"\\n\",\n       \"\\n\",\n       \"<script language=\\\"javascript\\\">\\n\",\n       \"  /* Instantiate the Animation class. */\\n\",\n       \"  /* The IDs given should match those used in the template above. */\\n\",\n       \"  (function() {\\n\",\n       \"    var img_id = \\\"_anim_imgAXKRJRGHYTKADKHZ\\\";\\n\",\n       \"    var slider_id = \\\"_anim_sliderAXKRJRGHYTKADKHZ\\\";\\n\",\n       \"    var loop_select_id = \\\"_anim_loop_selectAXKRJRGHYTKADKHZ\\\";\\n\",\n       \"    var frames = new Array(0);\\n\",\n       \"    \\n\",\n       \"  frames[0] = 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      \"  frames[99] = 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      \"\\n\",\n       \"\\n\",\n       \"    /* set a timeout to make sure all the above elements are created before\\n\",\n       \"       the object is initialized. */\\n\",\n       \"    setTimeout(function() {\\n\",\n       \"        animAXKRJRGHYTKADKHZ = new Animation(frames, img_id, slider_id, 50, loop_select_id);\\n\",\n       \"    }, 0);\\n\",\n       \"  })()\\n\",\n       \"</script>\\n\"\n      ],\n      \"text/plain\": [\n       \"<IPython.core.display.HTML object>\"\n      ]\n     },\n     \"metadata\": {},\n     \"output_type\": \"display_data\"\n    }\n   ],\n   \"source\": [\n    \"train(env,num_trials=num_trials,render=True)\"\n   ]\n  }\n ],\n \"metadata\": {\n  \"kernelspec\": {\n   \"display_name\": \"Python 3\",\n   \"language\": \"python\",\n   \"name\": \"python3\"\n  },\n  \"language_info\": {\n   \"codemirror_mode\": {\n    \"name\": \"ipython\",\n    \"version\": 3\n   },\n   \"file_extension\": \".py\",\n   \"mimetype\": \"text/x-python\",\n   \"name\": \"python\",\n   \"nbconvert_exporter\": \"python\",\n   \"pygments_lexer\": \"ipython3\",\n   \"version\": \"3.6.1\"\n  }\n },\n \"nbformat\": 4,\n \"nbformat_minor\": 2\n}\n"
  },
  {
    "path": "Week 5/Actor_Critic_Model_Pendulum.ipynb",
    "content": "{\n \"cells\": [\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"# Actor-critic model for Pendulum\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Imports\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 1,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stderr\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"Using TensorFlow backend.\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"import gym\\n\",\n    \"import numpy as np\\n\",\n    \"from keras.models import Sequential, Model\\n\",\n    \"from keras.layers import Dense, Dropout, Input\\n\",\n    \"from keras.layers.merge import Add, Multiply\\n\",\n    \"from keras.optimizers import Adam\\n\",\n    \"import keras.backend as K\\n\",\n    \"\\n\",\n    \"import tensorflow as tf\\n\",\n    \"\\n\",\n    \"import random\\n\",\n    \"\\n\",\n    \"from collections import deque\\n\",\n    \"\\n\",\n    \"# Imports specifically so we can render outputs in Jupyter.\\n\",\n    \"import matplotlib.pyplot as plt\\n\",\n    \"%matplotlib inline\\n\",\n    \"from JSAnimation.IPython_display import display_animation\\n\",\n    \"from matplotlib import animation\\n\",\n    \"from IPython.display import display\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Utils functions (display)\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 2,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def display_frames_as_gif(frames):\\n\",\n    \"    \\\"\\\"\\\"\\n\",\n    \"    Displays a list of frames as a gif, with controls\\n\",\n    \"    \\\"\\\"\\\"\\n\",\n    \"    patch = plt.imshow(frames[0])\\n\",\n    \"    plt.axis('off')\\n\",\n    \"\\n\",\n    \"    def animate(i):\\n\",\n    \"        patch.set_data(frames[i])\\n\",\n    \"\\n\",\n    \"    anim = animation.FuncAnimation(plt.gcf(), animate, frames = len(frames), interval=50)\\n\",\n    \"    display(display_animation(anim, default_mode='loop'))\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Class ActorCritic\\n\",\n    \"\\n\",\n    \"Determines how to assign values to each state, i.e. takes the state and action (two-input model) and determines the corresponding value\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 3,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"class ActorCritic:\\n\",\n    \"    def __init__(self, env, sess):\\n\",\n    \"        self.env = env\\n\",\n    \"        self.sess = sess\\n\",\n    \"        \\n\",\n    \"        self.learning_rate = 0.001\\n\",\n    \"        self.epsilon = 1.0\\n\",\n    \"        self.epsilon_decay = .995\\n\",\n    \"        self.gamma = .95\\n\",\n    \"        self.tau = .125\\n\",\n    \"        \\n\",\n    \"        #Actor model - Chain rule\\n\",\n    \"        #Calculate de/dA as = de/dC * dC/dA, where e is error, C critic, A actor\\n\",\n    \"        self.memory = deque(maxlen=2000)\\n\",\n    \"        self.actor_state_input, self.actor_model = self.create_actor_model()\\n\",\n    \"        _, self.target_actor_model = self.create_actor_model()\\n\",\n    \"        \\n\",\n    \"        self.actor_critic_grad = tf.placeholder(tf.float32, [None, self.env.action_space.shape[0]]) #Feed de/dC from Critic\\n\",\n    \"        actor_model_weights = self.actor_model.trainable_weights\\n\",\n    \"        self.actor_grads = tf.gradients(self.actor_model.output, actor_model_weights, -self.actor_critic_grad) #dC/dA from Act\\n\",\n    \"        grads = zip(self.actor_grads, actor_model_weights)\\n\",\n    \"        self.optimize = tf.train.AdamOptimizer(self.learning_rate).apply_gradients(grads)\\n\",\n    \"        \\n\",\n    \"        #Critic model\\n\",\n    \"        \\n\",\n    \"        self.critic_state_input, self.critic_action_input, self.critic_model = self.create_critic_model()\\n\",\n    \"        _, _, self.target_critic_model = self.create_critic_model()\\n\",\n    \"        \\n\",\n    \"        self.critic_grads = tf.gradients(self.critic_model.output, self.critic_action_input) #Where we calculate de/dC\\n\",\n    \"        \\n\",\n    \"        #Initialize for later gradient calculations\\n\",\n    \"        self.sess.run(tf.global_variables_initializer())\\n\",\n    \"        \\n\",\n    \"    \\n\",\n    \"    #MODEL DEFINITIONS\\n\",\n    \"    def create_actor_model(self):\\n\",\n    \"        state_input = Input(shape=self.env.observation_space.shape)\\n\",\n    \"        h1 = Dense(24, activation='relu')(state_input)\\n\",\n    \"        h2 = Dense(48, activation='relu')(h1)\\n\",\n    \"        h3 = Dense(24, activation='relu')(h2)\\n\",\n    \"        output = Dense(self.env.action_space.shape[0], activation='relu')(h3)\\n\",\n    \"        \\n\",\n    \"        model = Model(inputs=state_input, outputs=output)\\n\",\n    \"        adam = Adam(lr=0.001)\\n\",\n    \"        model.compile(loss='mse',optimizer=adam)\\n\",\n    \"        return state_input, model\\n\",\n    \"    \\n\",\n    \"    def create_critic_model(self):\\n\",\n    \"        state_input = Input(shape=self.env.observation_space.shape)\\n\",\n    \"        state_h1 = Dense(24, activation='relu')(state_input)\\n\",\n    \"        state_h2 = Dense(48)(state_h1)\\n\",\n    \"        \\n\",\n    \"        action_input = Input(shape=self.env.action_space.shape)\\n\",\n    \"        action_h1 = Dense(48)(action_input)\\n\",\n    \"        \\n\",\n    \"        merged = Add()([state_h2, action_h1])\\n\",\n    \"        merged_h1 = Dense(24, activation='relu')(merged)\\n\",\n    \"        output = Dense(1, activation='relu')(merged_h1)\\n\",\n    \"        model = Model(inputs=[state_input, action_input], outputs=output)\\n\",\n    \"        \\n\",\n    \"        adam = Adam(lr=0.001)\\n\",\n    \"        model.compile(loss='mse', optimizer=adam)\\n\",\n    \"        return state_input, action_input, model\\n\",\n    \"    \\n\",\n    \"    #MODEL TRAINING\\n\",\n    \"    def remember(self, cur_state, action, reward, new_state, done):\\n\",\n    \"        self.memory.append([cur_state, action, reward, new_state, done])\\n\",\n    \"        \\n\",\n    \"        \\n\",\n    \"    def _train_actor(self, samples):\\n\",\n    \"        for sample in samples:\\n\",\n    \"            cur_state, action, reward, new_state, _ = sample\\n\",\n    \"            predicted_action = self.actor_model.predict(cur_state)\\n\",\n    \"            feed = {self.critic_state_input: cur_state, self.critic_action_input: predicted_action}\\n\",\n    \"            grads = self.sess.run(self.critic_grads, feed_dict=feed)[0]\\n\",\n    \"            \\n\",\n    \"            self.sess.run(self.optimize, feed_dict = {self.actor_state_input: cur_state, self.actor_critic_grad: grads})\\n\",\n    \"            \\n\",\n    \"            \\n\",\n    \"    def _train_critic(self, samples):\\n\",\n    \"        for sample in samples:\\n\",\n    \"            cur_state, action, reward, new_state, done = sample\\n\",\n    \"            \\n\",\n    \"            if not done:\\n\",\n    \"                target_action = self.target_actor_model.predict(new_state)\\n\",\n    \"                future_reward = self.target_critic_model.predict([new_state, target_action])[0][0]\\n\",\n    \"                reward += self.gamma * future_reward\\n\",\n    \"            \\n\",\n    \"            self.critic_model.fit([cur_state, action], reward, verbose=0)\\n\",\n    \"            \\n\",\n    \"            \\n\",\n    \"    def train(self):\\n\",\n    \"        batch_size = 32\\n\",\n    \"        if(len(self.memory) < batch_size):\\n\",\n    \"            return\\n\",\n    \"        \\n\",\n    \"        rewards = []\\n\",\n    \"        samples = random.sample(self.memory, batch_size)\\n\",\n    \"        self._train_critic(samples)\\n\",\n    \"        self._train_actor(samples)\\n\",\n    \"        \\n\",\n    \"        \\n\",\n    \"    #TARGET MODEL UPDATING\\n\",\n    \"    def _update_actor_target(self):\\n\",\n    \"        actor_model_weights = self.actor_model.get_weights()\\n\",\n    \"        actor_target_weights = self.target_critic_model.get_weights()\\n\",\n    \"        \\n\",\n    \"        for i in range(len(actor_target_weights)):\\n\",\n    \"            actor_target_weights[i] = actor_model_weights[i]\\n\",\n    \"        self.target_critic_model.set_weights(actor_target_weights)\\n\",\n    \"        \\n\",\n    \"        \\n\",\n    \"    def _update_critic_target(self):\\n\",\n    \"        critic_model_weights = self.critic_model.get_weights()\\n\",\n    \"        critic_target_weights = self.critic_target_model.get_weights()\\n\",\n    \"        \\n\",\n    \"        for i in range(len(critic_target_weights)):\\n\",\n    \"            critic_target_weights[i] = critic_model_weights[i]\\n\",\n    \"        self.critic_target_model.set_weights(critic_target_weights)\\n\",\n    \"        \\n\",\n    \"    def update_target(self):\\n\",\n    \"        self._update_actor_target()\\n\",\n    \"        self._update_critic_target()\\n\",\n    \"        \\n\",\n    \"        \\n\",\n    \"    #MODEL PREDICTIONS\\n\",\n    \"    \\n\",\n    \"    def act(self, cur_state):\\n\",\n    \"        self.epsilon *= self.epsilon_decay\\n\",\n    \"        if np.random.random() < self.epsilon:\\n\",\n    \"            return self.env.action_space.sample()\\n\",\n    \"        return self.actor_model.predict(cur_state)    \"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Train function\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 4,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def train(env,num_trials=100,render=False):\\n\",\n    \"    sess = tf.Session()\\n\",\n    \"    K.set_session(sess)\\n\",\n    \"    actor_critic = ActorCritic(env, sess)\\n\",\n    \"    \\n\",\n    \"    #Initialize environment\\n\",\n    \"    cur_state = env.reset()\\n\",\n    \"    action = env.action_space.sample()\\n\",\n    \"    \\n\",\n    \"    frames = []\\n\",\n    \"        \\n\",\n    \"    display_freq = num_trials//10\\n\",\n    \"    i = 0\\n\",\n    \"    while True:\\n\",\n    \"        if(i % display_freq == 0):\\n\",\n    \"            print('At trial %d' % i)\\n\",\n    \"        if render:\\n\",\n    \"            frames.append(env.render(mode = 'rgb_array'))\\n\",\n    \"        \\n\",\n    \"        cur_state = cur_state.reshape((1,env.observation_space.shape[0]))\\n\",\n    \"        action = actor_critic.act(cur_state)\\n\",\n    \"        action = action.reshape((1, env.action_space.shape[0]))\\n\",\n    \"        \\n\",\n    \"        new_state, reward, done, _ = env.step(action)\\n\",\n    \"        new_state = new_state.reshape((1, env.observation_space.shape[0]))\\n\",\n    \"        \\n\",\n    \"        actor_critic.remember(cur_state, action, reward, new_state, done)\\n\",\n    \"        actor_critic.train()\\n\",\n    \"        \\n\",\n    \"        cur_state = new_state\\n\",\n    \"        i+=1\\n\",\n    \"        \\n\",\n    \"        if(i == num_trials):\\n\",\n    \"            break\\n\",\n    \"        \\n\",\n    \"    if render:\\n\",\n    \"        env.render(close=True)\\n\",\n    \"        display_frames_as_gif(frames)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Hyperparams \"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 8,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"num_trials = 100\\n\",\n    \"trial_len = 500\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## Environment\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 9,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stderr\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"[2017-12-16 15:08:01,733] Making new env: Pendulum-v0\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"env = gym.make(\\\"Pendulum-v0\\\")\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 10,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stdout\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"At trial 0\\n\",\n      \"At trial 10\\n\",\n      \"At trial 20\\n\",\n      \"At trial 30\\n\",\n      \"At trial 40\\n\",\n      \"At trial 50\\n\",\n      \"At trial 60\\n\",\n      \"At trial 70\\n\",\n      \"At trial 80\\n\",\n      \"At trial 90\\n\"\n     ]\n    },\n    {\n     \"data\": {\n      \"text/html\": [\n       \"\\n\",\n       \"<script language=\\\"javascript\\\">\\n\",\n       \"  /* Define the Animation class */\\n\",\n       \"  function Animation(frames, img_id, slider_id, interval, loop_select_id){\\n\",\n       \"    this.img_id = img_id;\\n\",\n       \"    this.slider_id = slider_id;\\n\",\n       \"    this.loop_select_id = loop_select_id;\\n\",\n       \"    this.interval = interval;\\n\",\n       \"    this.current_frame = 0;\\n\",\n       \"    this.direction = 0;\\n\",\n       \"    this.timer = null;\\n\",\n       \"    this.frames = new Array(frames.length);\\n\",\n       \"\\n\",\n       \"    for (var i=0; i<frames.length; i++)\\n\",\n       \"    {\\n\",\n       \"     this.frames[i] = new Image();\\n\",\n       \"     this.frames[i].src = frames[i];\\n\",\n       \"    }\\n\",\n       \"    document.getElementById(this.slider_id).max = this.frames.length - 1;\\n\",\n       \"    this.set_frame(this.current_frame);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.get_loop_state = function(){\\n\",\n       \"    var button_group = document[this.loop_select_id].state;\\n\",\n       \"    for (var i = 0; i < button_group.length; i++) {\\n\",\n       \"        var button = button_group[i];\\n\",\n       \"        if (button.checked) {\\n\",\n       \"            return button.value;\\n\",\n       \"        }\\n\",\n       \"    }\\n\",\n       \"    return undefined;\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.set_frame = function(frame){\\n\",\n       \"    this.current_frame = frame;\\n\",\n       \"    document.getElementById(this.img_id).src = this.frames[this.current_frame].src;\\n\",\n       \"    document.getElementById(this.slider_id).value = this.current_frame;\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.next_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.previous_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(Math.max(0, this.current_frame - 1));\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.first_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(0);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.last_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(this.frames.length - 1);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.slower = function()\\n\",\n       \"  {\\n\",\n       \"    this.interval /= 0.7;\\n\",\n       \"    if(this.direction > 0){this.play_animation();}\\n\",\n       \"    else if(this.direction < 0){this.reverse_animation();}\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.faster = function()\\n\",\n       \"  {\\n\",\n       \"    this.interval *= 0.7;\\n\",\n       \"    if(this.direction > 0){this.play_animation();}\\n\",\n       \"    else if(this.direction < 0){this.reverse_animation();}\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.anim_step_forward = function()\\n\",\n       \"  {\\n\",\n       \"    this.current_frame += 1;\\n\",\n       \"    if(this.current_frame < this.frames.length){\\n\",\n       \"      this.set_frame(this.current_frame);\\n\",\n       \"    }else{\\n\",\n       \"      var loop_state = this.get_loop_state();\\n\",\n       \"      if(loop_state == \\\"loop\\\"){\\n\",\n       \"        this.first_frame();\\n\",\n       \"      }else if(loop_state == \\\"reflect\\\"){\\n\",\n       \"        this.last_frame();\\n\",\n       \"        this.reverse_animation();\\n\",\n       \"      }else{\\n\",\n       \"        this.pause_animation();\\n\",\n       \"        this.last_frame();\\n\",\n       \"      }\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.anim_step_reverse = function()\\n\",\n       \"  {\\n\",\n       \"    this.current_frame -= 1;\\n\",\n       \"    if(this.current_frame >= 0){\\n\",\n       \"      this.set_frame(this.current_frame);\\n\",\n       \"    }else{\\n\",\n       \"      var loop_state = this.get_loop_state();\\n\",\n       \"      if(loop_state == \\\"loop\\\"){\\n\",\n       \"        this.last_frame();\\n\",\n       \"      }else if(loop_state == \\\"reflect\\\"){\\n\",\n       \"        this.first_frame();\\n\",\n       \"        this.play_animation();\\n\",\n       \"      }else{\\n\",\n       \"        this.pause_animation();\\n\",\n       \"        this.first_frame();\\n\",\n       \"      }\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.pause_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.direction = 0;\\n\",\n       \"    if (this.timer){\\n\",\n       \"      clearInterval(this.timer);\\n\",\n       \"      this.timer = null;\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.play_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.pause_animation();\\n\",\n       \"    this.direction = 1;\\n\",\n       \"    var t = this;\\n\",\n       \"    if (!this.timer) this.timer = setInterval(function(){t.anim_step_forward();}, this.interval);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.reverse_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.pause_animation();\\n\",\n       \"    this.direction = -1;\\n\",\n       \"    var t = this;\\n\",\n       \"    if (!this.timer) this.timer = setInterval(function(){t.anim_step_reverse();}, this.interval);\\n\",\n       \"  }\\n\",\n       \"</script>\\n\",\n       \"\\n\",\n       \"<div class=\\\"animation\\\" align=\\\"center\\\">\\n\",\n       \"    <img id=\\\"_anim_imgAXKRJRGHYTKADKHZ\\\">\\n\",\n       \"    <br>\\n\",\n       \"    <input id=\\\"_anim_sliderAXKRJRGHYTKADKHZ\\\" type=\\\"range\\\" style=\\\"width:350px\\\" name=\\\"points\\\" min=\\\"0\\\" max=\\\"1\\\" step=\\\"1\\\" value=\\\"0\\\" onchange=\\\"animAXKRJRGHYTKADKHZ.set_frame(parseInt(this.value));\\\"></input>\\n\",\n       \"    <br>\\n\",\n       \"    <button onclick=\\\"animAXKRJRGHYTKADKHZ.slower()\\\">&#8211;</button>\\n\",\n       \"    <button onclick=\\\"animAXKRJRGHYTKADKHZ.first_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAXKRJRGHYTKADKHZ.previous_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAgyTCyQ6wAAANRJREFUKM9jYBjO4AiUfgzFGGAp4+yayUvX6jMwMDCsYmBgOCS4OAOrSYmMgcc8/pd5Q3irC+Neh/1AlmeBMVgZmP8yMLD8/c/cqv9r90whzv/MX7Eq/MfAwMDIwCuZdfSV8U8WDgZGRmYGrAoZGRgY/jO8b3sj/J2F6T8j4z80pzEhmIwMjAxsSbqqlkeZGP//Z8SlkJnhPwMjwx/Guoe1NhmRwk+YGH5jV8jOwMPHzcDBysAwh8FrxQwtPU99HrwBXsnAwMDAsJiBgYGBoZ1xmKYqALHhMpn1o7igAAAAAElFTkSuQmCC\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAXKRJRGHYTKADKHZ.reverse_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAXKRJRGHYTKADKHZ.pause_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAkR91DQ2AAAAKtJREFUKM9jYCANTEVib2K4jcRbzQihGWEC00JuNjN8Z2Q0Zo3VYWA4lL005venH9+c3ZK5IfIsMIXMBtc12Bj+MMgxMDAwMPzWe2TBzPCf4SLcZCYY4/9/RgZGBiaYFf8gljFhKiQERhUOeoX/Gf8y/GX4y/APmlj+Mfxj+MfwH64Qnnq0zr9fyfLrPzP3eQYGBobvk5x4GX4xMIij23gdib0cRWYHiVmAAQDK5ircshCbHQAAAABJRU5ErkJggg==\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAXKRJRGHYTKADKHZ.play_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAXKRJRGHYTKADKHZ.next_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAkd/uac8wAAAMhJREFUKM9jYBie4DEUQ8B+fEq3+3UrMzAwMFxjYGBgYJizYubaOUxYFUaXh/6vWfRfEMIL/+//P5gZJoei4/f/7wxnY1PeNUXdE2RgYGZgYoCrY2BBVsjKwMDAwvCS4f3SG/dXxm5gYESSQ1HIwvCPgZmB8f8Pxv+Kxxb/YfiPJIdi9T8GJgaG/38ZFd4Fx0xUYsZt4h8GBgb2D2bLy7KnMTAwMEIxFoVCXIYr1IoDnkF4XAysqNIwUMDAwMDAsADKS2NkGL4AAIARMlfNIfZMAAAAAElFTkSuQmCC\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAXKRJRGHYTKADKHZ.last_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animAXKRJRGHYTKADKHZ.faster()\\\">+</button>\\n\",\n       \"  <form action=\\\"#n\\\" name=\\\"_anim_loop_selectAXKRJRGHYTKADKHZ\\\" class=\\\"anim_control\\\">\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"once\\\" > Once </input>\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"loop\\\" checked> Loop </input>\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"reflect\\\" > Reflect </input>\\n\",\n       \"  </form>\\n\",\n       \"</div>\\n\",\n       \"\\n\",\n       \"\\n\",\n       \"<script language=\\\"javascript\\\">\\n\",\n       \"  /* Instantiate the Animation class. */\\n\",\n       \"  /* The IDs given should match those used in the template above. */\\n\",\n       \"  (function() {\\n\",\n       \"    var img_id = \\\"_anim_imgAXKRJRGHYTKADKHZ\\\";\\n\",\n       \"    var slider_id = \\\"_anim_sliderAXKRJRGHYTKADKHZ\\\";\\n\",\n       \"    var loop_select_id = \\\"_anim_loop_selectAXKRJRGHYTKADKHZ\\\";\\n\",\n       \"    var frames = new Array(0);\\n\",\n       \"    \\n\",\n       \"  frames[0] = 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      \"  frames[99] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"\\n\",\n       \"\\n\",\n       \"    /* set a timeout to make sure all the above elements are created before\\n\",\n       \"       the object is initialized. */\\n\",\n       \"    setTimeout(function() {\\n\",\n       \"        animAXKRJRGHYTKADKHZ = new Animation(frames, img_id, slider_id, 50, loop_select_id);\\n\",\n       \"    }, 0);\\n\",\n       \"  })()\\n\",\n       \"</script>\\n\"\n      ],\n      \"text/plain\": [\n       \"<IPython.core.display.HTML object>\"\n      ]\n     },\n     \"metadata\": {},\n     \"output_type\": \"display_data\"\n    }\n   ],\n   \"source\": [\n    \"train(env,num_trials=num_trials,render=True)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## References\\n\",\n    \"\\n\",\n    \"1. [Reinforcement Learning w/ Keras + OpenAI: Actor-Critic Models](https://towardsdatascience.com/reinforcement-learning-w-keras-openai-actor-critic-models-f084612cfd69)\\n\",\n    \"2. [Actor Critic Algorithms](https://www.youtube.com/watch?v=w_3mmm0P0j8&ab_channel=SirajRaval)\\n\",\n    \"3. [Pendulum-v0](https://gym.openai.com/envs/Pendulum-v0/)\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": null,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": []\n  }\n ],\n \"metadata\": {\n  \"kernelspec\": {\n   \"display_name\": \"Python 3\",\n   \"language\": \"python\",\n   \"name\": \"python3\"\n  },\n  \"language_info\": {\n   \"codemirror_mode\": {\n    \"name\": \"ipython\",\n    \"version\": 3\n   },\n   \"file_extension\": \".py\",\n   \"mimetype\": \"text/x-python\",\n   \"name\": \"python\",\n   \"nbconvert_exporter\": \"python\",\n   \"pygments_lexer\": \"ipython3\",\n   \"version\": \"3.6.1\"\n  }\n },\n \"nbformat\": 4,\n \"nbformat_minor\": 2\n}\n"
  },
  {
    "path": "Week 5/README.md",
    "content": "## Code of the Week\n\nThis week's code is an implementation of the Actor-Critic model. Here it is built for the <a href=\"https://gym.openai.com/envs/Pendulum-v0/\">Pendulum-v0</a> environment by OpenAI Gym library. By <a href=\"https://github.com/llSourcell/AI_for_Video_Games_Syllabus\">Siraj Raval.</a>\n\nThe submission file is: <a href=\"Actor_Critic_Model_Pendulum.ipynb\">Actor_Critic_Model_Pendulum.ipynb</a>\n\n## Dependencies\n\n* numpy\n* kheras\n* [OpenAI Gym](https://gym.openai.com/docs/)\n\n\n### References\n\n1. [Reinforcement Learning w/ Keras + OpenAI: Actor-Critic Models](https://towardsdatascience.com/reinforcement-learning-w-keras-openai-actor-critic-models-f084612cfd69)\n2. [Actor Critic Algorithms](https://www.youtube.com/watch?v=w_3mmm0P0j8&ab_channel=SirajRaval)\n3. [Pendulum-v0](https://gym.openai.com/envs/Pendulum-v0/)"
  },
  {
    "path": "Week 6/.ipynb_checkpoints/Proximal_Policy_Optimization_Pendulum-checkpoint.ipynb",
    "content": "{\n \"cells\": [\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"# Proximal Policy Optimization for Pendulum\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## 1. Proximal Policy Optimization\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"**Proximal Policy Optimization** is a **new family of policy gradient methods for reinforcement learning**, which alternate between **sampling data through interaction with the environment, and optimizing a \\\"surrogate\\\" objective function using stochastic gradient ascent.** \\n\",\n    \"\\n\",\n    \"Whereas **standard** policy gradient methods perform **one gradient update per data sample**, here a novel objective function that enables **multiple epochs of minibatch updates** is used. \\n\",\n    \"\\n\",\n    \"The new methods are called Proximal Policy Optimization (PPO), and have some of the benefits of trust region policy optimization (TRPO), but are much simpler to implement, more general, and have better sample complexity (empirically).\\n\",\n    \"\\n\",\n    \"[1]\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### 1.1 PPO Algorithm\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"<img src=\\\"src/ppo_algorithm.png\\\">\\n\",\n    \"\\n\",\n    \"[1]\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## 2. Implementation of PPO\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### 2.1 Imports\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 1,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"data\": {\n      \"text/html\": [\n       \"<script>requirejs.config({paths: { 'plotly': ['https://cdn.plot.ly/plotly-latest.min']},});if(!window.Plotly) {{require(['plotly'],function(plotly) {window.Plotly=plotly;});}}</script>\"\n      ],\n      \"text/vnd.plotly.v1+html\": [\n       \"<script>requirejs.config({paths: { 'plotly': ['https://cdn.plot.ly/plotly-latest.min']},});if(!window.Plotly) {{require(['plotly'],function(plotly) {window.Plotly=plotly;});}}</script>\"\n      ]\n     },\n     \"metadata\": {},\n     \"output_type\": \"display_data\"\n    }\n   ],\n   \"source\": [\n    \"import tensorflow as tf\\n\",\n    \"import numpy as np\\n\",\n    \"import gym\\n\",\n    \"from plotly.offline import download_plotlyjs, init_notebook_mode, plot, iplot\\n\",\n    \"import plotly.graph_objs as go\\n\",\n    \"init_notebook_mode(connected=True)\\n\",\n    \"\\n\",\n    \"# Imports specifically so we can render outputs in Jupyter.\\n\",\n    \"import matplotlib.pyplot as plt\\n\",\n    \"%matplotlib inline\\n\",\n    \"from JSAnimation.IPython_display import display_animation\\n\",\n    \"from matplotlib import animation\\n\",\n    \"from IPython.display import display\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### 2.2 Util functions (display)\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 2,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def display_frames_as_gif(frames):\\n\",\n    \"    \\\"\\\"\\\"\\n\",\n    \"    Displays a list of frames as a gif, with controls\\n\",\n    \"    \\\"\\\"\\\"\\n\",\n    \"    patch = plt.imshow(frames[0])\\n\",\n    \"    plt.axis('off')\\n\",\n    \"\\n\",\n    \"    def animate(i):\\n\",\n    \"        patch.set_data(frames[i])\\n\",\n    \"\\n\",\n    \"    anim = animation.FuncAnimation(plt.gcf(), animate, frames = len(frames), interval=50)\\n\",\n    \"    display(display_animation(anim, default_mode='loop'))\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### 2.3 Hyperparameters\\n\",\n    \"\\n\",\n    \"*EP_MAX* = Number of epochs for training<br>\\n\",\n    \"*EP_LEN* = Max length of each episode<br>\\n\",\n    \"*GAMMA* = Discount factor<br>\\n\",\n    \"*A_LR* = Actor Learning Rate<br>\\n\",\n    \"*C_LR* = Critic Learning Rate<br>\\n\",\n    \"*BATCH* = Batch size<br>\\n\",\n    \"*A_UPDATE_STEPS* = Actor number of update steps<br>\\n\",\n    \"*C_UPDATE_STEPS* = Critic number of update steps<br>\\n\",\n    \"*S_DIM, A_DIM* = Size of layers<br>\\n\",\n    \"*METHOD* = Select the approach. Clipped Surrogate Objective or Adaptive KL Penalty Coefficient<br>\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 3,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"EP_MAX = 500\\n\",\n    \"EP_LEN = 200\\n\",\n    \"GAMMA = 0.9\\n\",\n    \"A_LR = 0.0001\\n\",\n    \"C_LR = 0.0002\\n\",\n    \"BATCH = 32\\n\",\n    \"A_UPDATE_STEPS = 10\\n\",\n    \"C_UPDATE_STEPS = 10\\n\",\n    \"S_DIM, A_DIM = 3,1\\n\",\n    \"METHOD = [\\n\",\n    \"    dict(name='kl_pen', kl_target=0.01, lam=0.5),\\n\",\n    \"    dict(name='clip',epsilon=0.2),\\n\",\n    \"][1]\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### 2.4 PPO algorithm implementation\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 4,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"class PPO(object):\\n\",\n    \"    \\n\",\n    \"    def __init__(self):\\n\",\n    \"        self.sess = tf.Session()\\n\",\n    \"        self.tfs = tf.placeholder(tf.float32,[None, S_DIM], 'state')\\n\",\n    \"        \\n\",\n    \"        #Critic\\n\",\n    \"        with tf.variable_scope('critic'):\\n\",\n    \"            l1 = tf.layers.dense(self.tfs, 100, tf.nn.relu)\\n\",\n    \"            self.v = tf.layers.dense(l1,1)\\n\",\n    \"            self.tfdc_r = tf.placeholder(tf.float32, [None, 1], 'discounted_r')\\n\",\n    \"            self.advantage = self.tfdc_r - self.v\\n\",\n    \"            self.closs = tf.reduce_mean(tf.square(self.advantage))\\n\",\n    \"            self.ctrain_op = tf.train.AdamOptimizer(C_LR).minimize(self.closs)\\n\",\n    \"                \\n\",\n    \"        #Actor\\n\",\n    \"        pi, pi_params = self._build_anet('pi', trainable=True)\\n\",\n    \"        oldpi, oldpi_params = self._build_anet('oldpi', trainable=False)\\n\",\n    \"        with tf.variable_scope('sample_action'):\\n\",\n    \"            self.sample_op = tf.squeeze(pi.sample(1),axis=0) #Choose action\\n\",\n    \"        with tf.variable_scope('update_oldpi'):\\n\",\n    \"            self.update_oldpi_op = [oldp.assign(p) for p, oldp in zip(pi_params, oldpi_params)]\\n\",\n    \"        \\n\",\n    \"        self.tfa = tf.placeholder(tf.float32,[None, A_DIM],'action')\\n\",\n    \"        self.tfadv = tf.placeholder(tf.float32, [None, 1], 'advantage')\\n\",\n    \"        \\n\",\n    \"        with tf.variable_scope('loss'):\\n\",\n    \"            with tf.variable_scope('surrogate'):\\n\",\n    \"                ratio = pi.prob(self.tfa) / oldpi.prob(self.tfa)\\n\",\n    \"                surr = ratio * self.tfadv\\n\",\n    \"                \\n\",\n    \"            if METHOD['name'] == 'kl_pen':\\n\",\n    \"                self.tflam = tf.placeholder(tf.float32, None, 'lambda')\\n\",\n    \"                kl = tf.contrib.distributions.kl_divergence(oldpi, pi)\\n\",\n    \"                self.kl_mean = tf.reduce_mean(kl)\\n\",\n    \"                self.aloss = -(tf.reduce_mean(surr - self.tflam * kl))\\n\",\n    \"            else:\\n\",\n    \"                self.aloss = -tf.reduce_mean(tf.minimum(surr,\\n\",\n    \"                                                       tf.clip_by_value(ratio, 1.-METHOD['epsilon'], 1.+METHOD['epsilon'])*self.tfadv\\n\",\n    \"                                                       )\\n\",\n    \"                                            )\\n\",\n    \"        with tf.variable_scope('atrain'):\\n\",\n    \"            self.atrain_op = tf.train.AdamOptimizer(A_LR).minimize(self.aloss)\\n\",\n    \"\\n\",\n    \"        tf.summary.FileWriter(\\\"log/\\\", self.sess.graph)\\n\",\n    \"        \\n\",\n    \"        self.sess.run(tf.global_variables_initializer())\\n\",\n    \"        \\n\",\n    \"    \\n\",\n    \"    def update(self, s, a, r):\\n\",\n    \"        self.sess.run(self.update_oldpi_op)\\n\",\n    \"        adv = self.sess.run(self.advantage, {self.tfs: s, self.tfdc_r: r})\\n\",\n    \"        \\n\",\n    \"        #Update actor\\n\",\n    \"        if METHOD['name'] == 'kl_pen':\\n\",\n    \"            for _ in range(A_UPDATE_STEPS):\\n\",\n    \"                _, kl = self.sess.run([self.atrain_op, self.kl_mean],\\n\",\n    \"                                     {self.tfs: s, self.tfa: a, self.tfadv: adv, self.tflam: METHOD['lam']})\\n\",\n    \"                if kl > 4*METHOD['kl_target']:\\n\",\n    \"                    break\\n\",\n    \"            if kl < METHOD['kl_target'] / 1.5: \\n\",\n    \"                METHOD['lam'] /= 2\\n\",\n    \"            elif kl > METHOD['kl_target'] * 1.5:\\n\",\n    \"                METHOD['lam'] *= 2\\n\",\n    \"            METHOD['lam'] = np.clip(METHOD['lam'], 1e-4, 10)\\n\",\n    \"        else:\\n\",\n    \"            [self.sess.run(self.atrain_op, {self.tfs: s, self.tfa: a, self.tfadv: adv}) for _ in range(A_UPDATE_STEPS)]\\n\",\n    \"        \\n\",\n    \"        #Update critic\\n\",\n    \"        [self.sess.run(self.ctrain_op, {self.tfs: s, self.tfdc_r: r}) for _ in range(C_UPDATE_STEPS)]\\n\",\n    \"        \\n\",\n    \"    def _build_anet(self, name, trainable):\\n\",\n    \"        with tf.variable_scope(name):\\n\",\n    \"            l1 = tf.layers.dense(self.tfs, 100, tf.nn.relu, trainable=trainable)\\n\",\n    \"            mu = 2 * tf.layers.dense(l1, A_DIM, tf.nn.tanh, trainable=trainable)\\n\",\n    \"            sigma = tf.layers.dense(l1, A_DIM, tf.nn.softplus, trainable=trainable)\\n\",\n    \"            norm_dist = tf.contrib.distributions.Normal(loc=mu, scale=sigma)\\n\",\n    \"        params = tf.get_collection(tf.GraphKeys.GLOBAL_VARIABLES, scope=name)\\n\",\n    \"        return norm_dist, params\\n\",\n    \"    \\n\",\n    \"    def choose_action(self, s):\\n\",\n    \"        s = s[np.newaxis, :]\\n\",\n    \"        a = self.sess.run(self.sample_op, {self.tfs: s})[0]\\n\",\n    \"        return np.clip(a, -2, 2)\\n\",\n    \"    \\n\",\n    \"    def get_v(self, s):\\n\",\n    \"        if s.ndim < 2: s = s[np.newaxis, :]\\n\",\n    \"        return self.sess.run(self.v, {self.tfs: s})[0,0]\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### 2.5 Train function implementation\\n\",\n    \"\\n\",\n    \"Just the function to iterate and perform the training phase.\\n\",\n    \"\\n\",\n    \"All episode rewards are stored on *all_ep_r* and returned in order to inspect them (plot). \\n\",\n    \"\\n\",\n    \"Also the graph is saved in the *log* folder at the same path this IPYNB is located.\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 5,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def train(env, ppo, epochs,render=False):\\n\",\n    \"    all_ep_r = []\\n\",\n    \"    frames = []\\n\",\n    \"    display_freq = EP_MAX//10\\n\",\n    \"    \\n\",\n    \"    for ep in range(epochs):\\n\",\n    \"        s = env.reset()\\n\",\n    \"        \\n\",\n    \"        buffer_s, buffer_a, buffer_r = [],[],[]\\n\",\n    \"        ep_r = 0\\n\",\n    \"        for t in range(EP_LEN):\\n\",\n    \"            if (render and (ep == epochs-1)):\\n\",\n    \"                frames.append(env.render(mode = 'rgb_array'))\\n\",\n    \"            a = ppo.choose_action(s)\\n\",\n    \"            s_, r, done, _ = env.step(a)\\n\",\n    \"            buffer_s.append(s)\\n\",\n    \"            buffer_a.append(a)\\n\",\n    \"            buffer_r.append((r+8)/8)\\n\",\n    \"            s = s_\\n\",\n    \"            ep_r += r\\n\",\n    \"            \\n\",\n    \"            #Udpate ppo\\n\",\n    \"            if (t+1) % BATCH == 0 or t == EP_LEN - 1:\\n\",\n    \"                v_s_ = ppo.get_v(s_)\\n\",\n    \"                discounted_r = []\\n\",\n    \"                for r in buffer_r[::-1]:\\n\",\n    \"                    v_s_ = r + GAMMA * v_s_\\n\",\n    \"                    discounted_r.append(v_s_)\\n\",\n    \"                discounted_r.reverse()\\n\",\n    \"                \\n\",\n    \"                bs, ba, br = np.vstack(buffer_s), np.vstack(buffer_a), np.array(discounted_r)[:, np.newaxis]\\n\",\n    \"                buffer_s, buffer_a, buffer_r = [],[],[]\\n\",\n    \"                ppo.update(bs, ba, br)\\n\",\n    \"                \\n\",\n    \"        if ep == 0: all_ep_r.append(ep_r)\\n\",\n    \"        else: all_ep_r.append(all_ep_r[-1]*0.9 + ep_r*0.1)\\n\",\n    \"        \\n\",\n    \"        if(ep % display_freq == 0):\\n\",\n    \"            print('At epoch %d - Ep. Reward %i' %(ep, ep_r))\\n\",\n    \"        \\n\",\n    \"    if render:\\n\",\n    \"        env.render(close=True)\\n\",\n    \"        display_frames_as_gif(frames)\\n\",\n    \"        \\n\",\n    \"    return all_ep_r\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## 3. Train\\n\",\n    \"\\n\",\n    \"First of all, create an instance on the **Environment** and the **PPO** class.\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 6,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stderr\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"[2017-12-29 14:16:06,959] Making new env: Pendulum-v0\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"env = gym.make('Pendulum-v0').unwrapped\\n\",\n    \"ppo = PPO()\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### 3.1 Render a test episode\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 7,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stdout\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"At epoch 0 - Ep. Reward -1825\\n\"\n     ]\n    },\n    {\n     \"data\": {\n      \"text/html\": [\n       \"\\n\",\n       \"<script language=\\\"javascript\\\">\\n\",\n       \"  /* Define the Animation class */\\n\",\n       \"  function Animation(frames, img_id, slider_id, interval, loop_select_id){\\n\",\n       \"    this.img_id = img_id;\\n\",\n       \"    this.slider_id = slider_id;\\n\",\n       \"    this.loop_select_id = loop_select_id;\\n\",\n       \"    this.interval = interval;\\n\",\n       \"    this.current_frame = 0;\\n\",\n       \"    this.direction = 0;\\n\",\n       \"    this.timer = null;\\n\",\n       \"    this.frames = new Array(frames.length);\\n\",\n       \"\\n\",\n       \"    for (var i=0; i<frames.length; i++)\\n\",\n       \"    {\\n\",\n       \"     this.frames[i] = new Image();\\n\",\n       \"     this.frames[i].src = frames[i];\\n\",\n       \"    }\\n\",\n       \"    document.getElementById(this.slider_id).max = this.frames.length - 1;\\n\",\n       \"    this.set_frame(this.current_frame);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.get_loop_state = function(){\\n\",\n       \"    var button_group = document[this.loop_select_id].state;\\n\",\n       \"    for (var i = 0; i < button_group.length; i++) {\\n\",\n       \"        var button = button_group[i];\\n\",\n       \"        if (button.checked) {\\n\",\n       \"            return button.value;\\n\",\n       \"        }\\n\",\n       \"    }\\n\",\n       \"    return undefined;\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.set_frame = function(frame){\\n\",\n       \"    this.current_frame = frame;\\n\",\n       \"    document.getElementById(this.img_id).src = this.frames[this.current_frame].src;\\n\",\n       \"    document.getElementById(this.slider_id).value = this.current_frame;\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.next_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.previous_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(Math.max(0, this.current_frame - 1));\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.first_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(0);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.last_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(this.frames.length - 1);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.slower = function()\\n\",\n       \"  {\\n\",\n       \"    this.interval /= 0.7;\\n\",\n       \"    if(this.direction > 0){this.play_animation();}\\n\",\n       \"    else if(this.direction < 0){this.reverse_animation();}\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.faster = function()\\n\",\n       \"  {\\n\",\n       \"    this.interval *= 0.7;\\n\",\n       \"    if(this.direction > 0){this.play_animation();}\\n\",\n       \"    else if(this.direction < 0){this.reverse_animation();}\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.anim_step_forward = function()\\n\",\n       \"  {\\n\",\n       \"    this.current_frame += 1;\\n\",\n       \"    if(this.current_frame < this.frames.length){\\n\",\n       \"      this.set_frame(this.current_frame);\\n\",\n       \"    }else{\\n\",\n       \"      var loop_state = this.get_loop_state();\\n\",\n       \"      if(loop_state == \\\"loop\\\"){\\n\",\n       \"        this.first_frame();\\n\",\n       \"      }else if(loop_state == \\\"reflect\\\"){\\n\",\n       \"        this.last_frame();\\n\",\n       \"        this.reverse_animation();\\n\",\n       \"      }else{\\n\",\n       \"        this.pause_animation();\\n\",\n       \"        this.last_frame();\\n\",\n       \"      }\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.anim_step_reverse = function()\\n\",\n       \"  {\\n\",\n       \"    this.current_frame -= 1;\\n\",\n       \"    if(this.current_frame >= 0){\\n\",\n       \"      this.set_frame(this.current_frame);\\n\",\n       \"    }else{\\n\",\n       \"      var loop_state = this.get_loop_state();\\n\",\n       \"      if(loop_state == \\\"loop\\\"){\\n\",\n       \"        this.last_frame();\\n\",\n       \"      }else if(loop_state == \\\"reflect\\\"){\\n\",\n       \"        this.first_frame();\\n\",\n       \"        this.play_animation();\\n\",\n       \"      }else{\\n\",\n       \"        this.pause_animation();\\n\",\n       \"        this.first_frame();\\n\",\n       \"      }\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.pause_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.direction = 0;\\n\",\n       \"    if (this.timer){\\n\",\n       \"      clearInterval(this.timer);\\n\",\n       \"      this.timer = null;\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.play_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.pause_animation();\\n\",\n       \"    this.direction = 1;\\n\",\n       \"    var t = this;\\n\",\n       \"    if (!this.timer) this.timer = setInterval(function(){t.anim_step_forward();}, this.interval);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.reverse_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.pause_animation();\\n\",\n       \"    this.direction = -1;\\n\",\n       \"    var t = this;\\n\",\n       \"    if (!this.timer) this.timer = setInterval(function(){t.anim_step_reverse();}, this.interval);\\n\",\n       \"  }\\n\",\n       \"</script>\\n\",\n       \"\\n\",\n       \"<div class=\\\"animation\\\" align=\\\"center\\\">\\n\",\n       \"    <img id=\\\"_anim_imgQCXHZJGMDVFUXKUS\\\">\\n\",\n       \"    <br>\\n\",\n       \"    <input id=\\\"_anim_sliderQCXHZJGMDVFUXKUS\\\" type=\\\"range\\\" style=\\\"width:350px\\\" name=\\\"points\\\" min=\\\"0\\\" max=\\\"1\\\" step=\\\"1\\\" value=\\\"0\\\" onchange=\\\"animQCXHZJGMDVFUXKUS.set_frame(parseInt(this.value));\\\"></input>\\n\",\n       \"    <br>\\n\",\n       \"    <button onclick=\\\"animQCXHZJGMDVFUXKUS.slower()\\\">&#8211;</button>\\n\",\n       \"    <button onclick=\\\"animQCXHZJGMDVFUXKUS.first_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animQCXHZJGMDVFUXKUS.previous_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAgyTCyQ6wAAANRJREFUKM9jYBjO4AiUfgzFGGAp4+yayUvX6jMwMDCsYmBgOCS4OAOrSYmMgcc8/pd5Q3irC+Neh/1AlmeBMVgZmP8yMLD8/c/cqv9r90whzv/MX7Eq/MfAwMDIwCuZdfSV8U8WDgZGRmYGrAoZGRgY/jO8b3sj/J2F6T8j4z80pzEhmIwMjAxsSbqqlkeZGP//Z8SlkJnhPwMjwx/Guoe1NhmRwk+YGH5jV8jOwMPHzcDBysAwh8FrxQwtPU99HrwBXsnAwMDAsJiBgYGBoZ1xmKYqALHhMpn1o7igAAAAAElFTkSuQmCC\\\"></button>\\n\",\n       \"    <button onclick=\\\"animQCXHZJGMDVFUXKUS.reverse_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animQCXHZJGMDVFUXKUS.pause_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAkR91DQ2AAAAKtJREFUKM9jYCANTEVib2K4jcRbzQihGWEC00JuNjN8Z2Q0Zo3VYWA4lL005venH9+c3ZK5IfIsMIXMBtc12Bj+MMgxMDAwMPzWe2TBzPCf4SLcZCYY4/9/RgZGBiaYFf8gljFhKiQERhUOeoX/Gf8y/GX4y/APmlj+Mfxj+MfwH64Qnnq0zr9fyfLrPzP3eQYGBobvk5x4GX4xMIij23gdib0cRWYHiVmAAQDK5ircshCbHQAAAABJRU5ErkJggg==\\\"></button>\\n\",\n       \"    <button onclick=\\\"animQCXHZJGMDVFUXKUS.play_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animQCXHZJGMDVFUXKUS.next_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAkd/uac8wAAAMhJREFUKM9jYBie4DEUQ8B+fEq3+3UrMzAwMFxjYGBgYJizYubaOUxYFUaXh/6vWfRfEMIL/+//P5gZJoei4/f/7wxnY1PeNUXdE2RgYGZgYoCrY2BBVsjKwMDAwvCS4f3SG/dXxm5gYESSQ1HIwvCPgZmB8f8Pxv+Kxxb/YfiPJIdi9T8GJgaG/38ZFd4Fx0xUYsZt4h8GBgb2D2bLy7KnMTAwMEIxFoVCXIYr1IoDnkF4XAysqNIwUMDAwMDAsADKS2NkGL4AAIARMlfNIfZMAAAAAElFTkSuQmCC\\\"></button>\\n\",\n       \"    <button onclick=\\\"animQCXHZJGMDVFUXKUS.last_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animQCXHZJGMDVFUXKUS.faster()\\\">+</button>\\n\",\n       \"  <form action=\\\"#n\\\" name=\\\"_anim_loop_selectQCXHZJGMDVFUXKUS\\\" class=\\\"anim_control\\\">\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"once\\\" > Once </input>\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"loop\\\" checked> Loop </input>\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"reflect\\\" > Reflect </input>\\n\",\n       \"  </form>\\n\",\n       \"</div>\\n\",\n       \"\\n\",\n       \"\\n\",\n       \"<script language=\\\"javascript\\\">\\n\",\n       \"  /* Instantiate the Animation class. */\\n\",\n       \"  /* The IDs given should match those used in the template above. */\\n\",\n       \"  (function() {\\n\",\n       \"    var img_id = \\\"_anim_imgQCXHZJGMDVFUXKUS\\\";\\n\",\n       \"    var slider_id = \\\"_anim_sliderQCXHZJGMDVFUXKUS\\\";\\n\",\n       \"    var loop_select_id = \\\"_anim_loop_selectQCXHZJGMDVFUXKUS\\\";\\n\",\n       \"    var frames = new Array(0);\\n\",\n       \"    \\n\",\n       \"  frames[0] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[1] = 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      \"  frames[2] = 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      \"  frames[8] = 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      \"  frames[9] = 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      \"  frames[10] = 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      \"  frames[11] = 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      \"  frames[15] = \\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbAAAAEgCAYAAADVKCZpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4wLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvpW3flQAABXlJREFUeJzt3E1O21AARlFcdUewjLLaZBntmtwBohDIj0Nx7OucM0J44tnV9/LkYRzH8QEAYn4s/QIA8BUCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgAGQJGBwA8MwLP0KsDkCBjMbhuFhHMelXwM25+fSLwBb9jFef56fD54/7na3fiXYDAsMZnIpXqf+B0wjYDCTS/Ga8gw4bRgdzsOs3gfqab8/ePb7169/fz/udn4vgytYYAAkCRishKNEuI6AAZDkNzC4gWvWlav1MI0FBjN5//WNKVF6veDhKBGmETCYyTiOkz8h9bTfH9xIBC4TMJjRlIgdi5cVBpcJGMzsNWLHjhHPLS8Rg/MEDG7g9a7Ux4g5NoSvEzBYMSsMThMwuDHX5OF7CBisnBUGxwkYLODaFSZi8JmAwUIcJcL/ETCIsMLgkIDBgqww+DoBgxArDN4IGCzMCoOvETBYgWsiZoXBCwGDIBEDAYPVcJQI1xEwWBFHiTCdgAGQJGAQZoVxzwQMVsZ3EmEaAYMVcqEDLhMw2AArjHskYLBSVhicJ2CwEVYY90bAYMVc6IDTBAxWzlEiHCdgsDFWGPdCwCDACoPPBAwifCcRDgkYAEkCBiFWGLwRMNgwEWPLBAxiXOiAFwIGQY4SQcDgLogYWyRgACQJGET5TiL3TsAgzIUO7pmAAZAkYBBnhXGvBAyAJAGDDZiywiw1tkbAYCPOBUq82KJhHMdx6ZcAvtf7K/PixVYJGABJjhABSBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMgScAASBIwAJIEDIAkAQMg6S+hhqAqJ+OzJgAAAABJRU5ErkJggg==\\\"\\n\",\n       \"  frames[16] = 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      \"  frames[17] = 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      \"  frames[18] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[19] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[20] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[21] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[22] = 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      \"  frames[23] = 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      \"  frames[24] = 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      \"  frames[25] = 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      \"  frames[41] = 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      \"  frames[42] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[43] = 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      \"  frames[44] = 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      \"  frames[91] = 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      \"  frames[92] = 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      \"  frames[93] = 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      \"  frames[94] = 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      \"  frames[95] = 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      \"  frames[106] = 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      \"  frames[107] = 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      \"  frames[108] = 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      \"  frames[109] = 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      \"  frames[110] = 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      \"  frames[111] = 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      \"  frames[112] = 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      \"  frames[113] = 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      \"  frames[114] = 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      \"  frames[115] = 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      \"  frames[116] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[117] = 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      \"  frames[141] = 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      \"  frames[142] = 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      \"  frames[143] = 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      \"  frames[144] = 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      \"  frames[145] = 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      \"  frames[146] = 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      \"  frames[147] = 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      \"  frames[148] = 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      \"  frames[149] = 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      \"  frames[198] = 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      \"  frames[199] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"\\n\",\n       \"\\n\",\n       \"    /* set a timeout to make sure all the above elements are created before\\n\",\n       \"       the object is initialized. */\\n\",\n       \"    setTimeout(function() {\\n\",\n       \"        animQCXHZJGMDVFUXKUS = new Animation(frames, img_id, slider_id, 50, loop_select_id);\\n\",\n       \"    }, 0);\\n\",\n       \"  })()\\n\",\n       \"</script>\\n\"\n      ],\n      \"text/plain\": [\n       \"<IPython.core.display.HTML object>\"\n      ]\n     },\n     \"metadata\": {},\n     \"output_type\": \"display_data\"\n    }\n   ],\n   \"source\": [\n    \"all_ep_r = train(env,ppo,1,render=True)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"<img src=\\\"src/pend_random.gif\\\">\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### 3.2 perform the training!\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 8,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stdout\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"At epoch 0 - Ep. Reward -1531\\n\",\n      \"At epoch 50 - Ep. Reward -1252\\n\",\n      \"At epoch 100 - Ep. Reward -1361\\n\",\n      \"At epoch 150 - Ep. Reward -624\\n\",\n      \"At epoch 200 - Ep. Reward -643\\n\",\n      \"At epoch 250 - Ep. Reward -707\\n\",\n      \"At epoch 300 - Ep. Reward -983\\n\",\n      \"At epoch 350 - Ep. Reward -129\\n\",\n      \"At epoch 400 - Ep. Reward -421\\n\",\n      \"At epoch 450 - Ep. Reward -264\\n\"\n     ]\n    },\n    {\n     \"data\": {\n      \"text/html\": [\n       \"\\n\",\n       \"<script language=\\\"javascript\\\">\\n\",\n       \"  /* Define the Animation class */\\n\",\n       \"  function Animation(frames, img_id, slider_id, interval, loop_select_id){\\n\",\n       \"    this.img_id = img_id;\\n\",\n       \"    this.slider_id = slider_id;\\n\",\n       \"    this.loop_select_id = loop_select_id;\\n\",\n       \"    this.interval = interval;\\n\",\n       \"    this.current_frame = 0;\\n\",\n       \"    this.direction = 0;\\n\",\n       \"    this.timer = null;\\n\",\n       \"    this.frames = new Array(frames.length);\\n\",\n       \"\\n\",\n       \"    for (var i=0; i<frames.length; i++)\\n\",\n       \"    {\\n\",\n       \"     this.frames[i] = new Image();\\n\",\n       \"     this.frames[i].src = frames[i];\\n\",\n       \"    }\\n\",\n       \"    document.getElementById(this.slider_id).max = this.frames.length - 1;\\n\",\n       \"    this.set_frame(this.current_frame);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.get_loop_state = function(){\\n\",\n       \"    var button_group = document[this.loop_select_id].state;\\n\",\n       \"    for (var i = 0; i < button_group.length; i++) {\\n\",\n       \"        var button = button_group[i];\\n\",\n       \"        if (button.checked) {\\n\",\n       \"            return button.value;\\n\",\n       \"        }\\n\",\n       \"    }\\n\",\n       \"    return undefined;\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.set_frame = function(frame){\\n\",\n       \"    this.current_frame = frame;\\n\",\n       \"    document.getElementById(this.img_id).src = this.frames[this.current_frame].src;\\n\",\n       \"    document.getElementById(this.slider_id).value = this.current_frame;\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.next_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.previous_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(Math.max(0, this.current_frame - 1));\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.first_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(0);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.last_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(this.frames.length - 1);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.slower = function()\\n\",\n       \"  {\\n\",\n       \"    this.interval /= 0.7;\\n\",\n       \"    if(this.direction > 0){this.play_animation();}\\n\",\n       \"    else if(this.direction < 0){this.reverse_animation();}\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.faster = function()\\n\",\n       \"  {\\n\",\n       \"    this.interval *= 0.7;\\n\",\n       \"    if(this.direction > 0){this.play_animation();}\\n\",\n       \"    else if(this.direction < 0){this.reverse_animation();}\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.anim_step_forward = function()\\n\",\n       \"  {\\n\",\n       \"    this.current_frame += 1;\\n\",\n       \"    if(this.current_frame < this.frames.length){\\n\",\n       \"      this.set_frame(this.current_frame);\\n\",\n       \"    }else{\\n\",\n       \"      var loop_state = this.get_loop_state();\\n\",\n       \"      if(loop_state == \\\"loop\\\"){\\n\",\n       \"        this.first_frame();\\n\",\n       \"      }else if(loop_state == \\\"reflect\\\"){\\n\",\n       \"        this.last_frame();\\n\",\n       \"        this.reverse_animation();\\n\",\n       \"      }else{\\n\",\n       \"        this.pause_animation();\\n\",\n       \"        this.last_frame();\\n\",\n       \"      }\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.anim_step_reverse = function()\\n\",\n       \"  {\\n\",\n       \"    this.current_frame -= 1;\\n\",\n       \"    if(this.current_frame >= 0){\\n\",\n       \"      this.set_frame(this.current_frame);\\n\",\n       \"    }else{\\n\",\n       \"      var loop_state = this.get_loop_state();\\n\",\n       \"      if(loop_state == \\\"loop\\\"){\\n\",\n       \"        this.last_frame();\\n\",\n       \"      }else if(loop_state == \\\"reflect\\\"){\\n\",\n       \"        this.first_frame();\\n\",\n       \"        this.play_animation();\\n\",\n       \"      }else{\\n\",\n       \"        this.pause_animation();\\n\",\n       \"        this.first_frame();\\n\",\n       \"      }\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.pause_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.direction = 0;\\n\",\n       \"    if (this.timer){\\n\",\n       \"      clearInterval(this.timer);\\n\",\n       \"      this.timer = null;\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.play_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.pause_animation();\\n\",\n       \"    this.direction = 1;\\n\",\n       \"    var t = this;\\n\",\n       \"    if (!this.timer) this.timer = setInterval(function(){t.anim_step_forward();}, this.interval);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.reverse_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.pause_animation();\\n\",\n       \"    this.direction = -1;\\n\",\n       \"    var t = this;\\n\",\n       \"    if (!this.timer) this.timer = setInterval(function(){t.anim_step_reverse();}, this.interval);\\n\",\n       \"  }\\n\",\n       \"</script>\\n\",\n       \"\\n\",\n       \"<div class=\\\"animation\\\" align=\\\"center\\\">\\n\",\n       \"    <img id=\\\"_anim_imgCPXCLOBDUDYEJJPG\\\">\\n\",\n       \"    <br>\\n\",\n       \"    <input id=\\\"_anim_sliderCPXCLOBDUDYEJJPG\\\" type=\\\"range\\\" style=\\\"width:350px\\\" name=\\\"points\\\" min=\\\"0\\\" max=\\\"1\\\" step=\\\"1\\\" value=\\\"0\\\" onchange=\\\"animCPXCLOBDUDYEJJPG.set_frame(parseInt(this.value));\\\"></input>\\n\",\n       \"    <br>\\n\",\n       \"    <button onclick=\\\"animCPXCLOBDUDYEJJPG.slower()\\\">&#8211;</button>\\n\",\n       \"    <button onclick=\\\"animCPXCLOBDUDYEJJPG.first_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animCPXCLOBDUDYEJJPG.previous_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAgyTCyQ6wAAANRJREFUKM9jYBjO4AiUfgzFGGAp4+yayUvX6jMwMDCsYmBgOCS4OAOrSYmMgcc8/pd5Q3irC+Neh/1AlmeBMVgZmP8yMLD8/c/cqv9r90whzv/MX7Eq/MfAwMDIwCuZdfSV8U8WDgZGRmYGrAoZGRgY/jO8b3sj/J2F6T8j4z80pzEhmIwMjAxsSbqqlkeZGP//Z8SlkJnhPwMjwx/Guoe1NhmRwk+YGH5jV8jOwMPHzcDBysAwh8FrxQwtPU99HrwBXsnAwMDAsJiBgYGBoZ1xmKYqALHhMpn1o7igAAAAAElFTkSuQmCC\\\"></button>\\n\",\n       \"    <button onclick=\\\"animCPXCLOBDUDYEJJPG.reverse_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animCPXCLOBDUDYEJJPG.pause_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAkR91DQ2AAAAKtJREFUKM9jYCANTEVib2K4jcRbzQihGWEC00JuNjN8Z2Q0Zo3VYWA4lL005venH9+c3ZK5IfIsMIXMBtc12Bj+MMgxMDAwMPzWe2TBzPCf4SLcZCYY4/9/RgZGBiaYFf8gljFhKiQERhUOeoX/Gf8y/GX4y/APmlj+Mfxj+MfwH64Qnnq0zr9fyfLrPzP3eQYGBobvk5x4GX4xMIij23gdib0cRWYHiVmAAQDK5ircshCbHQAAAABJRU5ErkJggg==\\\"></button>\\n\",\n       \"    <button onclick=\\\"animCPXCLOBDUDYEJJPG.play_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animCPXCLOBDUDYEJJPG.next_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAkd/uac8wAAAMhJREFUKM9jYBie4DEUQ8B+fEq3+3UrMzAwMFxjYGBgYJizYubaOUxYFUaXh/6vWfRfEMIL/+//P5gZJoei4/f/7wxnY1PeNUXdE2RgYGZgYoCrY2BBVsjKwMDAwvCS4f3SG/dXxm5gYESSQ1HIwvCPgZmB8f8Pxv+Kxxb/YfiPJIdi9T8GJgaG/38ZFd4Fx0xUYsZt4h8GBgb2D2bLy7KnMTAwMEIxFoVCXIYr1IoDnkF4XAysqNIwUMDAwMDAsADKS2NkGL4AAIARMlfNIfZMAAAAAElFTkSuQmCC\\\"></button>\\n\",\n       \"    <button onclick=\\\"animCPXCLOBDUDYEJJPG.last_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animCPXCLOBDUDYEJJPG.faster()\\\">+</button>\\n\",\n       \"  <form action=\\\"#n\\\" name=\\\"_anim_loop_selectCPXCLOBDUDYEJJPG\\\" class=\\\"anim_control\\\">\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"once\\\" > Once </input>\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"loop\\\" checked> Loop </input>\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"reflect\\\" > Reflect </input>\\n\",\n       \"  </form>\\n\",\n       \"</div>\\n\",\n       \"\\n\",\n       \"\\n\",\n       \"<script language=\\\"javascript\\\">\\n\",\n       \"  /* Instantiate the Animation class. */\\n\",\n       \"  /* The IDs given should match those used in the template above. */\\n\",\n       \"  (function() {\\n\",\n       \"    var img_id = \\\"_anim_imgCPXCLOBDUDYEJJPG\\\";\\n\",\n       \"    var slider_id = \\\"_anim_sliderCPXCLOBDUDYEJJPG\\\";\\n\",\n       \"    var loop_select_id = \\\"_anim_loop_selectCPXCLOBDUDYEJJPG\\\";\\n\",\n       \"    var frames = new Array(0);\\n\",\n       \"    \\n\",\n       \"  frames[0] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[1] = 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      \"  frames[2] = 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      \"  frames[5] = 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      \"  frames[57] = 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      \"  frames[60] = 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      \"  frames[65] = 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      \"  frames[66] = 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      \"  frames[67] = 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      \"  frames[68] = 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      \"  frames[69] = 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      \"  frames[70] = 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      \"  frames[71] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[72] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[73] = 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      \"  frames[74] = 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      \"  frames[76] = 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      \"  frames[81] = 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      \"  frames[94] = 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      \"  frames[95] = 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      \"  frames[96] = 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      \"  frames[97] = 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      \"  frames[104] = 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      \"  frames[106] = 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      \"  frames[107] = 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      \"  frames[114] = 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      \"  frames[117] = 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      \"  frames[131] = 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      \"  frames[132] = 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      \"  frames[133] = 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      \"  frames[134] = 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      \"  frames[135] = 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      \"  frames[136] = 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      \"  frames[137] = 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      \"  frames[138] = 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      \"  frames[139] = 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      \"  frames[140] = \\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbAAAAEgCAYAAADVKCZpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4wLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvpW3flQAABXlJREFUeJzt3TFOG0EYgNF1RBWOk1DTUsBduAI34B6U9glCCTkREpPKUZREIXa8Xj7nvcqyXPyN9WlmZ3dXY4wxAUDMh6UHAIB9CBgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZB0tvQAcKq+3tz88t2n9XqBSeA0WYHBDH4Xrz99D+xOwODA3oqUiMFhCBgASQIGB2R1BccjYHBADmnA8QgYLMBKDf6dgAGQJGAAJAkYAEkCBkCSgAGQJGAAJAkYAEkCBkCSgMGBeRoHHIeAwUI8jQP+jYABkCRgACQJGABJAgZAkoABkCRgACQJGABJAgYzcDMzzE/AYEFuZob9CRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGQJKAAZAkYAAkCRgASQIGM/FKFZiXgMHCvFIF9iNgACQJGABJAgZAkoABkCRgACQJGABJZ0sPAP+jz5vNNE3T9PHsbPpydbXwNNAkYLCA5+vr758/bzbTWHAWqLKFCDP6m6dxPF9fT6vV6gjTwGkRMHgHRAx2J2DwTowxpru7u6XHgIzVGMP2O8zox2cdbg9vbP14LezTej2tVqvJXxL+jhUYzOTp6WnnbcHLy8uZpoHTI2Awk4uLi51XU6+vrzNNA6dHwGBGDw8PO/3+8fFxpkng9LgGBjPaXtN6651f2+P29/f30+3t7TFGgzw3MsOMxhhvRmwbLwc4YDe2EGFmY4zp5eXltzc1ixfszxYiLEy8YD+2EOGIfj5Wf35+Ll6wJwGDIxIrOBzXwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABIEjAAkgQMgCQBAyBJwABI+gZIHnleO7AaGgAAAABJRU5ErkJggg==\\\"\\n\",\n       \"  frames[141] = 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      \"  frames[142] = 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      \"  frames[143] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[144] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[145] = 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      \"  frames[146] = 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      \"  frames[147] = 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      \"  frames[148] = 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      \"  frames[149] = 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      \"  frames[150] = 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      \"  frames[151] = 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      \"  frames[152] = 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      \"  frames[153] = 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      \"  frames[154] = 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      \"  frames[155] = 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      \"  frames[156] = 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      \"  frames[157] = 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      \"  frames[158] = 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      \"  frames[160] = 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      \"\\n\",\n       \"\\n\",\n       \"    /* set a timeout to make sure all the above elements are created before\\n\",\n       \"       the object is initialized. */\\n\",\n       \"    setTimeout(function() {\\n\",\n       \"        animCPXCLOBDUDYEJJPG = new Animation(frames, img_id, slider_id, 50, loop_select_id);\\n\",\n       \"    }, 0);\\n\",\n       \"  })()\\n\",\n       \"</script>\\n\"\n      ],\n      \"text/plain\": [\n       \"<IPython.core.display.HTML object>\"\n      ]\n     },\n     \"metadata\": {},\n     \"output_type\": \"display_data\"\n    }\n   ],\n   \"source\": [\n    \"all_ep_r = train(env,ppo,EP_MAX,render=True)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"<img src=\\\"src/pend_ppo.gif\\\">\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"#### YAY! We've made it!\\n\",\n    \"\\n\",\n    \"Our little IA now knows how to stabilize a Pendulum!!! :D\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## 4. Plot\\n\",\n    \"\\n\",\n    \"Let's see how the rewards has increased across epochs\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 9,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"data\": {\n      \"application/vnd.plotly.v1+json\": {\n       \"data\": [\n        {\n         \"type\": \"scatter\",\n         \"x\": [\n          0,\n          1,\n          2,\n          3,\n          4,\n          5,\n          6,\n          7,\n          8,\n          9,\n          10,\n          11,\n          12,\n          13,\n          14,\n          15,\n          16,\n          17,\n          18,\n          19,\n          20,\n          21,\n          22,\n          23,\n          24,\n          25,\n          26,\n          27,\n          28,\n          29,\n          30,\n          31,\n          32,\n          33,\n          34,\n          35,\n          36,\n          37,\n          38,\n          39,\n          40,\n          41,\n          42,\n         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-314.7027840338893, -324.025416407259, -318.8260873007409, -300.015548063674, -310.3054489656489, -340.7433897809083, -333.4243204741901, -313.6889000641096, -282.5994571356234, -329.58998999662475, -323.38179372806815, -304.2397465012212, -314.56876820810396, -310.4380247536, -306.4627309738527, -289.39387839576756]}], {}, {\\\"showLink\\\": true, \\\"linkText\\\": \\\"Export to plot.ly\\\"})});</script>\"\n      ]\n     },\n     \"metadata\": {},\n     \"output_type\": \"display_data\"\n    }\n   ],\n   \"source\": [\n    \"# Create a trace\\n\",\n    \"trace = go.Scatter(\\n\",\n    \"    x = np.arange(0,len(all_ep_r)),\\n\",\n    \"    y = all_ep_r,\\n\",\n    \")\\n\",\n    \"data = [trace]\\n\",\n    \"# Plot and embed in ipython notebook!\\n\",\n    \"iplot(data, filename='basic-line')\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"<img src=\\\"src/rewards_epochs.png\\\">\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"source\": [\n    \"## References\\n\",\n    \"\\n\",\n    \"1. [Proximal Policy Optimization Algorithms](https://arxiv.org/pdf/1707.06347.pdf)\\n\",\n    \"2. [6.4 PPO/DPPO Proximal Policy Optimization (强化学习 Reinforcement Learning with tensorflow 教学) - Morvan](https://www.youtube.com/watch?v=_B2oMdOVVJc&t=348s&ab_channel=%E5%91%A8%E8%8E%AB%E7%83%A6)\\n\",\n    \"3. [War Robots - Siraj Raval](https://www.youtube.com/watch?v=tm5kQmjfZN8&ab_channel=SirajRaval)\"\n   ]\n  }\n ],\n \"metadata\": {\n  \"kernelspec\": {\n   \"display_name\": \"Python 3\",\n   \"language\": \"python\",\n   \"name\": \"python3\"\n  },\n  \"language_info\": {\n   \"codemirror_mode\": {\n    \"name\": \"ipython\",\n    \"version\": 3\n   },\n   \"file_extension\": \".py\",\n   \"mimetype\": \"text/x-python\",\n   \"name\": \"python\",\n   \"nbconvert_exporter\": \"python\",\n   \"pygments_lexer\": \"ipython3\",\n   \"version\": \"3.6.1\"\n  }\n },\n \"nbformat\": 4,\n \"nbformat_minor\": 2\n}\n"
  },
  {
    "path": "Week 6/Proximal_Policy_Optimization_Pendulum.ipynb",
    "content": "{\n \"cells\": [\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"# Proximal Policy Optimization for Pendulum\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## 1. Proximal Policy Optimization\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"**Proximal Policy Optimization** is a **new family of policy gradient methods for reinforcement learning**, which alternate between **sampling data through interaction with the environment, and optimizing a \\\"surrogate\\\" objective function using stochastic gradient ascent.** \\n\",\n    \"\\n\",\n    \"Whereas **standard** policy gradient methods perform **one gradient update per data sample**, here a novel objective function that enables **multiple epochs of minibatch updates** is used. \\n\",\n    \"\\n\",\n    \"The new methods are called Proximal Policy Optimization (PPO), and have some of the benefits of trust region policy optimization (TRPO), but are much simpler to implement, more general, and have better sample complexity (empirically).\\n\",\n    \"\\n\",\n    \"[1]\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### 1.1 PPO Algorithm\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"<img src=\\\"src/ppo_algorithm.png\\\">\\n\",\n    \"\\n\",\n    \"[1]\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## 2. Implementation of PPO\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### 2.1 Imports\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 1,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"data\": {\n      \"text/html\": [\n       \"<script>requirejs.config({paths: { 'plotly': ['https://cdn.plot.ly/plotly-latest.min']},});if(!window.Plotly) {{require(['plotly'],function(plotly) {window.Plotly=plotly;});}}</script>\"\n      ],\n      \"text/vnd.plotly.v1+html\": [\n       \"<script>requirejs.config({paths: { 'plotly': ['https://cdn.plot.ly/plotly-latest.min']},});if(!window.Plotly) {{require(['plotly'],function(plotly) {window.Plotly=plotly;});}}</script>\"\n      ]\n     },\n     \"metadata\": {},\n     \"output_type\": \"display_data\"\n    }\n   ],\n   \"source\": [\n    \"import tensorflow as tf\\n\",\n    \"import numpy as np\\n\",\n    \"import gym\\n\",\n    \"from plotly.offline import download_plotlyjs, init_notebook_mode, plot, iplot\\n\",\n    \"import plotly.graph_objs as go\\n\",\n    \"init_notebook_mode(connected=True)\\n\",\n    \"\\n\",\n    \"# Imports specifically so we can render outputs in Jupyter.\\n\",\n    \"import matplotlib.pyplot as plt\\n\",\n    \"%matplotlib inline\\n\",\n    \"from JSAnimation.IPython_display import display_animation\\n\",\n    \"from matplotlib import animation\\n\",\n    \"from IPython.display import display\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### 2.2 Util functions (display)\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 2,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def display_frames_as_gif(frames):\\n\",\n    \"    \\\"\\\"\\\"\\n\",\n    \"    Displays a list of frames as a gif, with controls\\n\",\n    \"    \\\"\\\"\\\"\\n\",\n    \"    patch = plt.imshow(frames[0])\\n\",\n    \"    plt.axis('off')\\n\",\n    \"\\n\",\n    \"    def animate(i):\\n\",\n    \"        patch.set_data(frames[i])\\n\",\n    \"\\n\",\n    \"    anim = animation.FuncAnimation(plt.gcf(), animate, frames = len(frames), interval=50)\\n\",\n    \"    display(display_animation(anim, default_mode='loop'))\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### 2.3 Hyperparameters\\n\",\n    \"\\n\",\n    \"*EP_MAX* = Number of epochs for training<br>\\n\",\n    \"*EP_LEN* = Max length of each episode<br>\\n\",\n    \"*GAMMA* = Discount factor<br>\\n\",\n    \"*A_LR* = Actor Learning Rate<br>\\n\",\n    \"*C_LR* = Critic Learning Rate<br>\\n\",\n    \"*BATCH* = Batch size<br>\\n\",\n    \"*A_UPDATE_STEPS* = Actor number of update steps<br>\\n\",\n    \"*C_UPDATE_STEPS* = Critic number of update steps<br>\\n\",\n    \"*S_DIM, A_DIM* = Size of layers<br>\\n\",\n    \"*METHOD* = Select the approach. Clipped Surrogate Objective or Adaptive KL Penalty Coefficient<br>\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 3,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"EP_MAX = 500\\n\",\n    \"EP_LEN = 200\\n\",\n    \"GAMMA = 0.9\\n\",\n    \"A_LR = 0.0001\\n\",\n    \"C_LR = 0.0002\\n\",\n    \"BATCH = 32\\n\",\n    \"A_UPDATE_STEPS = 10\\n\",\n    \"C_UPDATE_STEPS = 10\\n\",\n    \"S_DIM, A_DIM = 3,1\\n\",\n    \"METHOD = [\\n\",\n    \"    dict(name='kl_pen', kl_target=0.01, lam=0.5),\\n\",\n    \"    dict(name='clip',epsilon=0.2),\\n\",\n    \"][1]\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### 2.4 PPO algorithm implementation\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 4,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"class PPO(object):\\n\",\n    \"    \\n\",\n    \"    def __init__(self):\\n\",\n    \"        self.sess = tf.Session()\\n\",\n    \"        self.tfs = tf.placeholder(tf.float32,[None, S_DIM], 'state')\\n\",\n    \"        \\n\",\n    \"        #Critic\\n\",\n    \"        with tf.variable_scope('critic'):\\n\",\n    \"            l1 = tf.layers.dense(self.tfs, 100, tf.nn.relu)\\n\",\n    \"            self.v = tf.layers.dense(l1,1)\\n\",\n    \"            self.tfdc_r = tf.placeholder(tf.float32, [None, 1], 'discounted_r')\\n\",\n    \"            self.advantage = self.tfdc_r - self.v\\n\",\n    \"            self.closs = tf.reduce_mean(tf.square(self.advantage))\\n\",\n    \"            self.ctrain_op = tf.train.AdamOptimizer(C_LR).minimize(self.closs)\\n\",\n    \"                \\n\",\n    \"        #Actor\\n\",\n    \"        pi, pi_params = self._build_anet('pi', trainable=True)\\n\",\n    \"        oldpi, oldpi_params = self._build_anet('oldpi', trainable=False)\\n\",\n    \"        with tf.variable_scope('sample_action'):\\n\",\n    \"            self.sample_op = tf.squeeze(pi.sample(1),axis=0) #Choose action\\n\",\n    \"        with tf.variable_scope('update_oldpi'):\\n\",\n    \"            self.update_oldpi_op = [oldp.assign(p) for p, oldp in zip(pi_params, oldpi_params)]\\n\",\n    \"        \\n\",\n    \"        self.tfa = tf.placeholder(tf.float32,[None, A_DIM],'action')\\n\",\n    \"        self.tfadv = tf.placeholder(tf.float32, [None, 1], 'advantage')\\n\",\n    \"        \\n\",\n    \"        with tf.variable_scope('loss'):\\n\",\n    \"            with tf.variable_scope('surrogate'):\\n\",\n    \"                ratio = pi.prob(self.tfa) / oldpi.prob(self.tfa)\\n\",\n    \"                surr = ratio * self.tfadv\\n\",\n    \"                \\n\",\n    \"            if METHOD['name'] == 'kl_pen':\\n\",\n    \"                self.tflam = tf.placeholder(tf.float32, None, 'lambda')\\n\",\n    \"                kl = tf.contrib.distributions.kl_divergence(oldpi, pi)\\n\",\n    \"                self.kl_mean = tf.reduce_mean(kl)\\n\",\n    \"                self.aloss = -(tf.reduce_mean(surr - self.tflam * kl))\\n\",\n    \"            else:\\n\",\n    \"                self.aloss = -tf.reduce_mean(tf.minimum(surr,\\n\",\n    \"                                                       tf.clip_by_value(ratio, 1.-METHOD['epsilon'], 1.+METHOD['epsilon'])*self.tfadv\\n\",\n    \"                                                       )\\n\",\n    \"                                            )\\n\",\n    \"        with tf.variable_scope('atrain'):\\n\",\n    \"            self.atrain_op = tf.train.AdamOptimizer(A_LR).minimize(self.aloss)\\n\",\n    \"\\n\",\n    \"        tf.summary.FileWriter(\\\"log/\\\", self.sess.graph)\\n\",\n    \"        \\n\",\n    \"        self.sess.run(tf.global_variables_initializer())\\n\",\n    \"        \\n\",\n    \"    \\n\",\n    \"    def update(self, s, a, r):\\n\",\n    \"        self.sess.run(self.update_oldpi_op)\\n\",\n    \"        adv = self.sess.run(self.advantage, {self.tfs: s, self.tfdc_r: r})\\n\",\n    \"        \\n\",\n    \"        #Update actor\\n\",\n    \"        if METHOD['name'] == 'kl_pen':\\n\",\n    \"            for _ in range(A_UPDATE_STEPS):\\n\",\n    \"                _, kl = self.sess.run([self.atrain_op, self.kl_mean],\\n\",\n    \"                                     {self.tfs: s, self.tfa: a, self.tfadv: adv, self.tflam: METHOD['lam']})\\n\",\n    \"                if kl > 4*METHOD['kl_target']:\\n\",\n    \"                    break\\n\",\n    \"            if kl < METHOD['kl_target'] / 1.5: \\n\",\n    \"                METHOD['lam'] /= 2\\n\",\n    \"            elif kl > METHOD['kl_target'] * 1.5:\\n\",\n    \"                METHOD['lam'] *= 2\\n\",\n    \"            METHOD['lam'] = np.clip(METHOD['lam'], 1e-4, 10)\\n\",\n    \"        else:\\n\",\n    \"            [self.sess.run(self.atrain_op, {self.tfs: s, self.tfa: a, self.tfadv: adv}) for _ in range(A_UPDATE_STEPS)]\\n\",\n    \"        \\n\",\n    \"        #Update critic\\n\",\n    \"        [self.sess.run(self.ctrain_op, {self.tfs: s, self.tfdc_r: r}) for _ in range(C_UPDATE_STEPS)]\\n\",\n    \"        \\n\",\n    \"    def _build_anet(self, name, trainable):\\n\",\n    \"        with tf.variable_scope(name):\\n\",\n    \"            l1 = tf.layers.dense(self.tfs, 100, tf.nn.relu, trainable=trainable)\\n\",\n    \"            mu = 2 * tf.layers.dense(l1, A_DIM, tf.nn.tanh, trainable=trainable)\\n\",\n    \"            sigma = tf.layers.dense(l1, A_DIM, tf.nn.softplus, trainable=trainable)\\n\",\n    \"            norm_dist = tf.contrib.distributions.Normal(loc=mu, scale=sigma)\\n\",\n    \"        params = tf.get_collection(tf.GraphKeys.GLOBAL_VARIABLES, scope=name)\\n\",\n    \"        return norm_dist, params\\n\",\n    \"    \\n\",\n    \"    def choose_action(self, s):\\n\",\n    \"        s = s[np.newaxis, :]\\n\",\n    \"        a = self.sess.run(self.sample_op, {self.tfs: s})[0]\\n\",\n    \"        return np.clip(a, -2, 2)\\n\",\n    \"    \\n\",\n    \"    def get_v(self, s):\\n\",\n    \"        if s.ndim < 2: s = s[np.newaxis, :]\\n\",\n    \"        return self.sess.run(self.v, {self.tfs: s})[0,0]\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### 2.5 Train function implementation\\n\",\n    \"\\n\",\n    \"Just the function to iterate and perform the training phase.\\n\",\n    \"\\n\",\n    \"All episode rewards are stored on *all_ep_r* and returned in order to inspect them (plot). \\n\",\n    \"\\n\",\n    \"Also the graph is saved in the *log* folder at the same path this IPYNB is located.\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 5,\n   \"metadata\": {\n    \"collapsed\": true\n   },\n   \"outputs\": [],\n   \"source\": [\n    \"def train(env, ppo, epochs,render=False):\\n\",\n    \"    all_ep_r = []\\n\",\n    \"    frames = []\\n\",\n    \"    display_freq = EP_MAX//10\\n\",\n    \"    \\n\",\n    \"    for ep in range(epochs):\\n\",\n    \"        s = env.reset()\\n\",\n    \"        \\n\",\n    \"        buffer_s, buffer_a, buffer_r = [],[],[]\\n\",\n    \"        ep_r = 0\\n\",\n    \"        for t in range(EP_LEN):\\n\",\n    \"            if (render and (ep == epochs-1)):\\n\",\n    \"                frames.append(env.render(mode = 'rgb_array'))\\n\",\n    \"            a = ppo.choose_action(s)\\n\",\n    \"            s_, r, done, _ = env.step(a)\\n\",\n    \"            buffer_s.append(s)\\n\",\n    \"            buffer_a.append(a)\\n\",\n    \"            buffer_r.append((r+8)/8)\\n\",\n    \"            s = s_\\n\",\n    \"            ep_r += r\\n\",\n    \"            \\n\",\n    \"            #Udpate ppo\\n\",\n    \"            if (t+1) % BATCH == 0 or t == EP_LEN - 1:\\n\",\n    \"                v_s_ = ppo.get_v(s_)\\n\",\n    \"                discounted_r = []\\n\",\n    \"                for r in buffer_r[::-1]:\\n\",\n    \"                    v_s_ = r + GAMMA * v_s_\\n\",\n    \"                    discounted_r.append(v_s_)\\n\",\n    \"                discounted_r.reverse()\\n\",\n    \"                \\n\",\n    \"                bs, ba, br = np.vstack(buffer_s), np.vstack(buffer_a), np.array(discounted_r)[:, np.newaxis]\\n\",\n    \"                buffer_s, buffer_a, buffer_r = [],[],[]\\n\",\n    \"                ppo.update(bs, ba, br)\\n\",\n    \"                \\n\",\n    \"        if ep == 0: all_ep_r.append(ep_r)\\n\",\n    \"        else: all_ep_r.append(all_ep_r[-1]*0.9 + ep_r*0.1)\\n\",\n    \"        \\n\",\n    \"        if(ep % display_freq == 0):\\n\",\n    \"            print('At epoch %d - Ep. Reward %i' %(ep, ep_r))\\n\",\n    \"        \\n\",\n    \"    if render:\\n\",\n    \"        env.render(close=True)\\n\",\n    \"        display_frames_as_gif(frames)\\n\",\n    \"        \\n\",\n    \"    return all_ep_r\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## 3. Train\\n\",\n    \"\\n\",\n    \"First of all, create an instance on the **Environment** and the **PPO** class.\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 6,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stderr\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"[2017-12-29 14:16:06,959] Making new env: Pendulum-v0\\n\"\n     ]\n    }\n   ],\n   \"source\": [\n    \"env = gym.make('Pendulum-v0').unwrapped\\n\",\n    \"ppo = PPO()\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### 3.1 Render a test episode\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 7,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stdout\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"At epoch 0 - Ep. Reward -1825\\n\"\n     ]\n    },\n    {\n     \"data\": {\n      \"text/html\": [\n       \"\\n\",\n       \"<script language=\\\"javascript\\\">\\n\",\n       \"  /* Define the Animation class */\\n\",\n       \"  function Animation(frames, img_id, slider_id, interval, loop_select_id){\\n\",\n       \"    this.img_id = img_id;\\n\",\n       \"    this.slider_id = slider_id;\\n\",\n       \"    this.loop_select_id = loop_select_id;\\n\",\n       \"    this.interval = interval;\\n\",\n       \"    this.current_frame = 0;\\n\",\n       \"    this.direction = 0;\\n\",\n       \"    this.timer = null;\\n\",\n       \"    this.frames = new Array(frames.length);\\n\",\n       \"\\n\",\n       \"    for (var i=0; i<frames.length; i++)\\n\",\n       \"    {\\n\",\n       \"     this.frames[i] = new Image();\\n\",\n       \"     this.frames[i].src = frames[i];\\n\",\n       \"    }\\n\",\n       \"    document.getElementById(this.slider_id).max = this.frames.length - 1;\\n\",\n       \"    this.set_frame(this.current_frame);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.get_loop_state = function(){\\n\",\n       \"    var button_group = document[this.loop_select_id].state;\\n\",\n       \"    for (var i = 0; i < button_group.length; i++) {\\n\",\n       \"        var button = button_group[i];\\n\",\n       \"        if (button.checked) {\\n\",\n       \"            return button.value;\\n\",\n       \"        }\\n\",\n       \"    }\\n\",\n       \"    return undefined;\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.set_frame = function(frame){\\n\",\n       \"    this.current_frame = frame;\\n\",\n       \"    document.getElementById(this.img_id).src = this.frames[this.current_frame].src;\\n\",\n       \"    document.getElementById(this.slider_id).value = this.current_frame;\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.next_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.previous_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(Math.max(0, this.current_frame - 1));\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.first_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(0);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.last_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(this.frames.length - 1);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.slower = function()\\n\",\n       \"  {\\n\",\n       \"    this.interval /= 0.7;\\n\",\n       \"    if(this.direction > 0){this.play_animation();}\\n\",\n       \"    else if(this.direction < 0){this.reverse_animation();}\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.faster = function()\\n\",\n       \"  {\\n\",\n       \"    this.interval *= 0.7;\\n\",\n       \"    if(this.direction > 0){this.play_animation();}\\n\",\n       \"    else if(this.direction < 0){this.reverse_animation();}\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.anim_step_forward = function()\\n\",\n       \"  {\\n\",\n       \"    this.current_frame += 1;\\n\",\n       \"    if(this.current_frame < this.frames.length){\\n\",\n       \"      this.set_frame(this.current_frame);\\n\",\n       \"    }else{\\n\",\n       \"      var loop_state = this.get_loop_state();\\n\",\n       \"      if(loop_state == \\\"loop\\\"){\\n\",\n       \"        this.first_frame();\\n\",\n       \"      }else if(loop_state == \\\"reflect\\\"){\\n\",\n       \"        this.last_frame();\\n\",\n       \"        this.reverse_animation();\\n\",\n       \"      }else{\\n\",\n       \"        this.pause_animation();\\n\",\n       \"        this.last_frame();\\n\",\n       \"      }\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.anim_step_reverse = function()\\n\",\n       \"  {\\n\",\n       \"    this.current_frame -= 1;\\n\",\n       \"    if(this.current_frame >= 0){\\n\",\n       \"      this.set_frame(this.current_frame);\\n\",\n       \"    }else{\\n\",\n       \"      var loop_state = this.get_loop_state();\\n\",\n       \"      if(loop_state == \\\"loop\\\"){\\n\",\n       \"        this.last_frame();\\n\",\n       \"      }else if(loop_state == \\\"reflect\\\"){\\n\",\n       \"        this.first_frame();\\n\",\n       \"        this.play_animation();\\n\",\n       \"      }else{\\n\",\n       \"        this.pause_animation();\\n\",\n       \"        this.first_frame();\\n\",\n       \"      }\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.pause_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.direction = 0;\\n\",\n       \"    if (this.timer){\\n\",\n       \"      clearInterval(this.timer);\\n\",\n       \"      this.timer = null;\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.play_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.pause_animation();\\n\",\n       \"    this.direction = 1;\\n\",\n       \"    var t = this;\\n\",\n       \"    if (!this.timer) this.timer = setInterval(function(){t.anim_step_forward();}, this.interval);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.reverse_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.pause_animation();\\n\",\n       \"    this.direction = -1;\\n\",\n       \"    var t = this;\\n\",\n       \"    if (!this.timer) this.timer = setInterval(function(){t.anim_step_reverse();}, this.interval);\\n\",\n       \"  }\\n\",\n       \"</script>\\n\",\n       \"\\n\",\n       \"<div class=\\\"animation\\\" align=\\\"center\\\">\\n\",\n       \"    <img id=\\\"_anim_imgQCXHZJGMDVFUXKUS\\\">\\n\",\n       \"    <br>\\n\",\n       \"    <input id=\\\"_anim_sliderQCXHZJGMDVFUXKUS\\\" type=\\\"range\\\" style=\\\"width:350px\\\" name=\\\"points\\\" min=\\\"0\\\" max=\\\"1\\\" step=\\\"1\\\" value=\\\"0\\\" onchange=\\\"animQCXHZJGMDVFUXKUS.set_frame(parseInt(this.value));\\\"></input>\\n\",\n       \"    <br>\\n\",\n       \"    <button onclick=\\\"animQCXHZJGMDVFUXKUS.slower()\\\">&#8211;</button>\\n\",\n       \"    <button onclick=\\\"animQCXHZJGMDVFUXKUS.first_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animQCXHZJGMDVFUXKUS.previous_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAgyTCyQ6wAAANRJREFUKM9jYBjO4AiUfgzFGGAp4+yayUvX6jMwMDCsYmBgOCS4OAOrSYmMgcc8/pd5Q3irC+Neh/1AlmeBMVgZmP8yMLD8/c/cqv9r90whzv/MX7Eq/MfAwMDIwCuZdfSV8U8WDgZGRmYGrAoZGRgY/jO8b3sj/J2F6T8j4z80pzEhmIwMjAxsSbqqlkeZGP//Z8SlkJnhPwMjwx/Guoe1NhmRwk+YGH5jV8jOwMPHzcDBysAwh8FrxQwtPU99HrwBXsnAwMDAsJiBgYGBoZ1xmKYqALHhMpn1o7igAAAAAElFTkSuQmCC\\\"></button>\\n\",\n       \"    <button onclick=\\\"animQCXHZJGMDVFUXKUS.reverse_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animQCXHZJGMDVFUXKUS.pause_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAkR91DQ2AAAAKtJREFUKM9jYCANTEVib2K4jcRbzQihGWEC00JuNjN8Z2Q0Zo3VYWA4lL005venH9+c3ZK5IfIsMIXMBtc12Bj+MMgxMDAwMPzWe2TBzPCf4SLcZCYY4/9/RgZGBiaYFf8gljFhKiQERhUOeoX/Gf8y/GX4y/APmlj+Mfxj+MfwH64Qnnq0zr9fyfLrPzP3eQYGBobvk5x4GX4xMIij23gdib0cRWYHiVmAAQDK5ircshCbHQAAAABJRU5ErkJggg==\\\"></button>\\n\",\n       \"    <button onclick=\\\"animQCXHZJGMDVFUXKUS.play_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animQCXHZJGMDVFUXKUS.next_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAkd/uac8wAAAMhJREFUKM9jYBie4DEUQ8B+fEq3+3UrMzAwMFxjYGBgYJizYubaOUxYFUaXh/6vWfRfEMIL/+//P5gZJoei4/f/7wxnY1PeNUXdE2RgYGZgYoCrY2BBVsjKwMDAwvCS4f3SG/dXxm5gYESSQ1HIwvCPgZmB8f8Pxv+Kxxb/YfiPJIdi9T8GJgaG/38ZFd4Fx0xUYsZt4h8GBgb2D2bLy7KnMTAwMEIxFoVCXIYr1IoDnkF4XAysqNIwUMDAwMDAsADKS2NkGL4AAIARMlfNIfZMAAAAAElFTkSuQmCC\\\"></button>\\n\",\n       \"    <button onclick=\\\"animQCXHZJGMDVFUXKUS.last_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animQCXHZJGMDVFUXKUS.faster()\\\">+</button>\\n\",\n       \"  <form action=\\\"#n\\\" name=\\\"_anim_loop_selectQCXHZJGMDVFUXKUS\\\" class=\\\"anim_control\\\">\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"once\\\" > Once </input>\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"loop\\\" checked> Loop </input>\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"reflect\\\" > Reflect </input>\\n\",\n       \"  </form>\\n\",\n       \"</div>\\n\",\n       \"\\n\",\n       \"\\n\",\n       \"<script language=\\\"javascript\\\">\\n\",\n       \"  /* Instantiate the Animation class. */\\n\",\n       \"  /* The IDs given should match those used in the template above. */\\n\",\n       \"  (function() {\\n\",\n       \"    var img_id = \\\"_anim_imgQCXHZJGMDVFUXKUS\\\";\\n\",\n       \"    var slider_id = \\\"_anim_sliderQCXHZJGMDVFUXKUS\\\";\\n\",\n       \"    var loop_select_id = \\\"_anim_loop_selectQCXHZJGMDVFUXKUS\\\";\\n\",\n       \"    var frames = new Array(0);\\n\",\n       \"    \\n\",\n       \"  frames[0] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[1] = 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      \"  frames[2] = 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      \"  frames[8] = 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      \"  frames[9] = 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      \"  frames[10] = 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      \"  frames[11] = 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      \"  frames[15] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[16] = 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      \"  frames[17] = 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      \"  frames[18] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[19] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[20] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[21] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[22] = 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      \"  frames[23] = 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      \"  frames[24] = 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      \"  frames[25] = 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      \"  frames[41] = 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      \"  frames[42] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[43] = 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      \"  frames[44] = 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      \"  frames[91] = 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      \"  frames[92] = 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      \"  frames[93] = 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      \"  frames[94] = 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      \"  frames[95] = 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      \"  frames[106] = 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      \"  frames[107] = 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      \"  frames[108] = 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      \"  frames[109] = 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      \"  frames[110] = 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      \"  frames[111] = 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      \"  frames[112] = 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      \"  frames[113] = 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      \"  frames[114] = 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      \"  frames[115] = 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      \"  frames[116] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[117] = 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      \"  frames[141] = 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      \"  frames[142] = 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      \"  frames[143] = 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      \"  frames[144] = 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      \"  frames[145] = 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      \"  frames[146] = 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      \"  frames[147] = 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      \"  frames[148] = 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      \"  frames[149] = 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      \"  frames[198] = 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      \"  frames[199] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"\\n\",\n       \"\\n\",\n       \"    /* set a timeout to make sure all the above elements are created before\\n\",\n       \"       the object is initialized. */\\n\",\n       \"    setTimeout(function() {\\n\",\n       \"        animQCXHZJGMDVFUXKUS = new Animation(frames, img_id, slider_id, 50, loop_select_id);\\n\",\n       \"    }, 0);\\n\",\n       \"  })()\\n\",\n       \"</script>\\n\"\n      ],\n      \"text/plain\": [\n       \"<IPython.core.display.HTML object>\"\n      ]\n     },\n     \"metadata\": {},\n     \"output_type\": \"display_data\"\n    }\n   ],\n   \"source\": [\n    \"all_ep_r = train(env,ppo,1,render=True)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"<img src=\\\"src/pend_random.gif\\\">\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"### 3.2 perform the training!\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 8,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"name\": \"stdout\",\n     \"output_type\": \"stream\",\n     \"text\": [\n      \"At epoch 0 - Ep. Reward -1531\\n\",\n      \"At epoch 50 - Ep. Reward -1252\\n\",\n      \"At epoch 100 - Ep. Reward -1361\\n\",\n      \"At epoch 150 - Ep. Reward -624\\n\",\n      \"At epoch 200 - Ep. Reward -643\\n\",\n      \"At epoch 250 - Ep. Reward -707\\n\",\n      \"At epoch 300 - Ep. Reward -983\\n\",\n      \"At epoch 350 - Ep. Reward -129\\n\",\n      \"At epoch 400 - Ep. Reward -421\\n\",\n      \"At epoch 450 - Ep. Reward -264\\n\"\n     ]\n    },\n    {\n     \"data\": {\n      \"text/html\": [\n       \"\\n\",\n       \"<script language=\\\"javascript\\\">\\n\",\n       \"  /* Define the Animation class */\\n\",\n       \"  function Animation(frames, img_id, slider_id, interval, loop_select_id){\\n\",\n       \"    this.img_id = img_id;\\n\",\n       \"    this.slider_id = slider_id;\\n\",\n       \"    this.loop_select_id = loop_select_id;\\n\",\n       \"    this.interval = interval;\\n\",\n       \"    this.current_frame = 0;\\n\",\n       \"    this.direction = 0;\\n\",\n       \"    this.timer = null;\\n\",\n       \"    this.frames = new Array(frames.length);\\n\",\n       \"\\n\",\n       \"    for (var i=0; i<frames.length; i++)\\n\",\n       \"    {\\n\",\n       \"     this.frames[i] = new Image();\\n\",\n       \"     this.frames[i].src = frames[i];\\n\",\n       \"    }\\n\",\n       \"    document.getElementById(this.slider_id).max = this.frames.length - 1;\\n\",\n       \"    this.set_frame(this.current_frame);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.get_loop_state = function(){\\n\",\n       \"    var button_group = document[this.loop_select_id].state;\\n\",\n       \"    for (var i = 0; i < button_group.length; i++) {\\n\",\n       \"        var button = button_group[i];\\n\",\n       \"        if (button.checked) {\\n\",\n       \"            return button.value;\\n\",\n       \"        }\\n\",\n       \"    }\\n\",\n       \"    return undefined;\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.set_frame = function(frame){\\n\",\n       \"    this.current_frame = frame;\\n\",\n       \"    document.getElementById(this.img_id).src = this.frames[this.current_frame].src;\\n\",\n       \"    document.getElementById(this.slider_id).value = this.current_frame;\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.next_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.previous_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(Math.max(0, this.current_frame - 1));\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.first_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(0);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.last_frame = function()\\n\",\n       \"  {\\n\",\n       \"    this.set_frame(this.frames.length - 1);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.slower = function()\\n\",\n       \"  {\\n\",\n       \"    this.interval /= 0.7;\\n\",\n       \"    if(this.direction > 0){this.play_animation();}\\n\",\n       \"    else if(this.direction < 0){this.reverse_animation();}\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.faster = function()\\n\",\n       \"  {\\n\",\n       \"    this.interval *= 0.7;\\n\",\n       \"    if(this.direction > 0){this.play_animation();}\\n\",\n       \"    else if(this.direction < 0){this.reverse_animation();}\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.anim_step_forward = function()\\n\",\n       \"  {\\n\",\n       \"    this.current_frame += 1;\\n\",\n       \"    if(this.current_frame < this.frames.length){\\n\",\n       \"      this.set_frame(this.current_frame);\\n\",\n       \"    }else{\\n\",\n       \"      var loop_state = this.get_loop_state();\\n\",\n       \"      if(loop_state == \\\"loop\\\"){\\n\",\n       \"        this.first_frame();\\n\",\n       \"      }else if(loop_state == \\\"reflect\\\"){\\n\",\n       \"        this.last_frame();\\n\",\n       \"        this.reverse_animation();\\n\",\n       \"      }else{\\n\",\n       \"        this.pause_animation();\\n\",\n       \"        this.last_frame();\\n\",\n       \"      }\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.anim_step_reverse = function()\\n\",\n       \"  {\\n\",\n       \"    this.current_frame -= 1;\\n\",\n       \"    if(this.current_frame >= 0){\\n\",\n       \"      this.set_frame(this.current_frame);\\n\",\n       \"    }else{\\n\",\n       \"      var loop_state = this.get_loop_state();\\n\",\n       \"      if(loop_state == \\\"loop\\\"){\\n\",\n       \"        this.last_frame();\\n\",\n       \"      }else if(loop_state == \\\"reflect\\\"){\\n\",\n       \"        this.first_frame();\\n\",\n       \"        this.play_animation();\\n\",\n       \"      }else{\\n\",\n       \"        this.pause_animation();\\n\",\n       \"        this.first_frame();\\n\",\n       \"      }\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.pause_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.direction = 0;\\n\",\n       \"    if (this.timer){\\n\",\n       \"      clearInterval(this.timer);\\n\",\n       \"      this.timer = null;\\n\",\n       \"    }\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.play_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.pause_animation();\\n\",\n       \"    this.direction = 1;\\n\",\n       \"    var t = this;\\n\",\n       \"    if (!this.timer) this.timer = setInterval(function(){t.anim_step_forward();}, this.interval);\\n\",\n       \"  }\\n\",\n       \"\\n\",\n       \"  Animation.prototype.reverse_animation = function()\\n\",\n       \"  {\\n\",\n       \"    this.pause_animation();\\n\",\n       \"    this.direction = -1;\\n\",\n       \"    var t = this;\\n\",\n       \"    if (!this.timer) this.timer = setInterval(function(){t.anim_step_reverse();}, this.interval);\\n\",\n       \"  }\\n\",\n       \"</script>\\n\",\n       \"\\n\",\n       \"<div class=\\\"animation\\\" align=\\\"center\\\">\\n\",\n       \"    <img id=\\\"_anim_imgCPXCLOBDUDYEJJPG\\\">\\n\",\n       \"    <br>\\n\",\n       \"    <input id=\\\"_anim_sliderCPXCLOBDUDYEJJPG\\\" type=\\\"range\\\" style=\\\"width:350px\\\" name=\\\"points\\\" min=\\\"0\\\" max=\\\"1\\\" step=\\\"1\\\" value=\\\"0\\\" onchange=\\\"animCPXCLOBDUDYEJJPG.set_frame(parseInt(this.value));\\\"></input>\\n\",\n       \"    <br>\\n\",\n       \"    <button onclick=\\\"animCPXCLOBDUDYEJJPG.slower()\\\">&#8211;</button>\\n\",\n       \"    <button onclick=\\\"animCPXCLOBDUDYEJJPG.first_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animCPXCLOBDUDYEJJPG.previous_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAgyTCyQ6wAAANRJREFUKM9jYBjO4AiUfgzFGGAp4+yayUvX6jMwMDCsYmBgOCS4OAOrSYmMgcc8/pd5Q3irC+Neh/1AlmeBMVgZmP8yMLD8/c/cqv9r90whzv/MX7Eq/MfAwMDIwCuZdfSV8U8WDgZGRmYGrAoZGRgY/jO8b3sj/J2F6T8j4z80pzEhmIwMjAxsSbqqlkeZGP//Z8SlkJnhPwMjwx/Guoe1NhmRwk+YGH5jV8jOwMPHzcDBysAwh8FrxQwtPU99HrwBXsnAwMDAsJiBgYGBoZ1xmKYqALHhMpn1o7igAAAAAElFTkSuQmCC\\\"></button>\\n\",\n       \"    <button onclick=\\\"animCPXCLOBDUDYEJJPG.reverse_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animCPXCLOBDUDYEJJPG.pause_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAkR91DQ2AAAAKtJREFUKM9jYCANTEVib2K4jcRbzQihGWEC00JuNjN8Z2Q0Zo3VYWA4lL005venH9+c3ZK5IfIsMIXMBtc12Bj+MMgxMDAwMPzWe2TBzPCf4SLcZCYY4/9/RgZGBiaYFf8gljFhKiQERhUOeoX/Gf8y/GX4y/APmlj+Mfxj+MfwH64Qnnq0zr9fyfLrPzP3eQYGBobvk5x4GX4xMIij23gdib0cRWYHiVmAAQDK5ircshCbHQAAAABJRU5ErkJggg==\\\"></button>\\n\",\n       \"    <button onclick=\\\"animCPXCLOBDUDYEJJPG.play_animation()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animCPXCLOBDUDYEJJPG.next_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAAUCAQAAAAngNWGAAAAAXNSR0IArs4c6QAAAAJiS0dEAP+Hj8y/AAAACXBIWXMAAAsTAAALEwEAmpwYAAAAB3RJTUUH3QURCAkd/uac8wAAAMhJREFUKM9jYBie4DEUQ8B+fEq3+3UrMzAwMFxjYGBgYJizYubaOUxYFUaXh/6vWfRfEMIL/+//P5gZJoei4/f/7wxnY1PeNUXdE2RgYGZgYoCrY2BBVsjKwMDAwvCS4f3SG/dXxm5gYESSQ1HIwvCPgZmB8f8Pxv+Kxxb/YfiPJIdi9T8GJgaG/38ZFd4Fx0xUYsZt4h8GBgb2D2bLy7KnMTAwMEIxFoVCXIYr1IoDnkF4XAysqNIwUMDAwMDAsADKS2NkGL4AAIARMlfNIfZMAAAAAElFTkSuQmCC\\\"></button>\\n\",\n       \"    <button onclick=\\\"animCPXCLOBDUDYEJJPG.last_frame()\\\"><img class=\\\"anim_icon\\\" src=\\\"data:image/png;base64,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\\\"></button>\\n\",\n       \"    <button onclick=\\\"animCPXCLOBDUDYEJJPG.faster()\\\">+</button>\\n\",\n       \"  <form action=\\\"#n\\\" name=\\\"_anim_loop_selectCPXCLOBDUDYEJJPG\\\" class=\\\"anim_control\\\">\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"once\\\" > Once </input>\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"loop\\\" checked> Loop </input>\\n\",\n       \"    <input type=\\\"radio\\\" name=\\\"state\\\" value=\\\"reflect\\\" > Reflect </input>\\n\",\n       \"  </form>\\n\",\n       \"</div>\\n\",\n       \"\\n\",\n       \"\\n\",\n       \"<script language=\\\"javascript\\\">\\n\",\n       \"  /* Instantiate the Animation class. */\\n\",\n       \"  /* The IDs given should match those used in the template above. */\\n\",\n       \"  (function() {\\n\",\n       \"    var img_id = \\\"_anim_imgCPXCLOBDUDYEJJPG\\\";\\n\",\n       \"    var slider_id = \\\"_anim_sliderCPXCLOBDUDYEJJPG\\\";\\n\",\n       \"    var loop_select_id = \\\"_anim_loop_selectCPXCLOBDUDYEJJPG\\\";\\n\",\n       \"    var frames = new Array(0);\\n\",\n       \"    \\n\",\n       \"  frames[0] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[1] = 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      \"  frames[2] = 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      \"  frames[5] = 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      \"  frames[57] = 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      \"  frames[60] = 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      \"  frames[65] = 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      \"  frames[66] = 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      \"  frames[67] = 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      \"  frames[68] = 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      \"  frames[69] = 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      \"  frames[70] = 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      \"  frames[71] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[72] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[73] = 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      \"  frames[74] = 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      \"  frames[76] = 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      \"  frames[81] = 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      \"  frames[94] = 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      \"  frames[95] = 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      \"  frames[96] = 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      \"  frames[97] = 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      \"  frames[104] = 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      \"  frames[106] = 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      \"  frames[107] = 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      \"  frames[114] = 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      \"  frames[117] = 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      \"  frames[131] = 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      \"  frames[132] = 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      \"  frames[133] = 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      \"  frames[134] = 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      \"  frames[135] = 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      \"  frames[136] = 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      \"  frames[137] = 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      \"  frames[138] = 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      \"  frames[139] = 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      \"  frames[140] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[141] = 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      \"  frames[142] = 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      \"  frames[143] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[144] = \\\"data:image/png;base64,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\\\"\\n\",\n       \"  frames[145] = 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      \"  frames[146] = 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      \"  frames[147] = 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      \"  frames[148] = 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      \"  frames[149] = 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      \"  frames[150] = 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      \"  frames[151] = 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      \"  frames[152] = 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      \"  frames[153] = 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      \"  frames[154] = 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      \"  frames[155] = 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      \"  frames[156] = 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      \"  frames[157] = 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      \"  frames[158] = 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      \"  frames[160] = 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      \"\\n\",\n       \"\\n\",\n       \"    /* set a timeout to make sure all the above elements are created before\\n\",\n       \"       the object is initialized. */\\n\",\n       \"    setTimeout(function() {\\n\",\n       \"        animCPXCLOBDUDYEJJPG = new Animation(frames, img_id, slider_id, 50, loop_select_id);\\n\",\n       \"    }, 0);\\n\",\n       \"  })()\\n\",\n       \"</script>\\n\"\n      ],\n      \"text/plain\": [\n       \"<IPython.core.display.HTML object>\"\n      ]\n     },\n     \"metadata\": {},\n     \"output_type\": \"display_data\"\n    }\n   ],\n   \"source\": [\n    \"all_ep_r = train(env,ppo,EP_MAX,render=True)\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"<img src=\\\"src/pend_ppo.gif\\\">\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"#### YAY! We've made it!\\n\",\n    \"\\n\",\n    \"Our little IA now knows how to stabilize a Pendulum!!! :D\"\n   ]\n  },\n  {\n   \"cell_type\": \"markdown\",\n   \"metadata\": {},\n   \"source\": [\n    \"## 4. Plot\\n\",\n    \"\\n\",\n    \"Let's see how the rewards has increased across epochs\"\n   ]\n  },\n  {\n   \"cell_type\": \"code\",\n   \"execution_count\": 9,\n   \"metadata\": {},\n   \"outputs\": [\n    {\n     \"data\": {\n      \"application/vnd.plotly.v1+json\": {\n       \"data\": [\n        {\n         \"type\": \"scatter\",\n         \"x\": [\n          0,\n          1,\n          2,\n          3,\n          4,\n          5,\n          6,\n          7,\n          8,\n          9,\n          10,\n          11,\n          12,\n          13,\n          14,\n          15,\n          16,\n          17,\n          18,\n          19,\n          20,\n          21,\n          22,\n          23,\n          24,\n          25,\n          26,\n          27,\n          28,\n          29,\n          30,\n          31,\n          32,\n          33,\n          34,\n          35,\n          36,\n          37,\n          38,\n          39,\n          40,\n          41,\n          42,\n         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\"metadata\": {\n    \"collapsed\": true\n   },\n   \"source\": [\n    \"## References\\n\",\n    \"\\n\",\n    \"1. [Proximal Policy Optimization Algorithms](https://arxiv.org/pdf/1707.06347.pdf)\\n\",\n    \"2. [6.4 PPO/DPPO Proximal Policy Optimization (强化学习 Reinforcement Learning with tensorflow 教学) - Morvan](https://www.youtube.com/watch?v=_B2oMdOVVJc&t=348s&ab_channel=%E5%91%A8%E8%8E%AB%E7%83%A6)\\n\",\n    \"3. [War Robots - Siraj Raval](https://www.youtube.com/watch?v=tm5kQmjfZN8&ab_channel=SirajRaval)\"\n   ]\n  }\n ],\n \"metadata\": {\n  \"kernelspec\": {\n   \"display_name\": \"Python 3\",\n   \"language\": \"python\",\n   \"name\": \"python3\"\n  },\n  \"language_info\": {\n   \"codemirror_mode\": {\n    \"name\": \"ipython\",\n    \"version\": 3\n   },\n   \"file_extension\": \".py\",\n   \"mimetype\": \"text/x-python\",\n   \"name\": \"python\",\n   \"nbconvert_exporter\": \"python\",\n   \"pygments_lexer\": \"ipython3\",\n   \"version\": \"3.6.1\"\n  }\n },\n \"nbformat\": 4,\n \"nbformat_minor\": 2\n}\n"
  },
  {
    "path": "Week 6/README.md",
    "content": "## Coding Challenge\n\nThis week's coding challenge is to implement Proximal Policy Optimization algorithm. Here it is built for the <a href=\"https://gym.openai.com/envs/Pendulum-v0/\">Pendulum-v0</a> environment by OpenAI Gym library. By <a href=\"https://github.com/llSourcell/AI_for_Video_Games_Syllabus\">Siraj Raval.</a>\n\nThe submission file is: <a href=\"Proximal_Policy_Optimization_Pendulum.ipynb\">Proximal_Policy_Optimization_Pendulum.ipynb</a>\n\n## Dependencies for challenge\n\n* numpy\n* tensorflow\n* [OpenAI Gym](https://gym.openai.com/docs/)\n\n* matplotlib (display)\n* plotly (display)\n* JSAnimation (display)\n\n## Fast look at the results\n\nThe pendulum environment consists in keep a stick in balance applying rotation forces.\n\n1. Applying random forces it's (nearly) impossible to keep it balanced\n\n<img src=\"src/pend_random.gif\">\n\n2. After training our agent with PPO it masters the pendulum balance!\n\n<img src=\"src/pend_ppo.gif\">\n\nAnd this is how the reward changes across epochs\n\n<img src=\"src/rewards_epochs.png\">\n\n\n### References\n\n1. [Proximal Policy Optimization Algorithms](https://arxiv.org/pdf/1707.06347.pdf)\n2. [6.4 PPO/DPPO Proximal Policy Optimization (强化学习 Reinforcement Learning with tensorflow 教学) - Morvan](https://www.youtube.com/watch?v=_B2oMdOVVJc&t=348s&ab_channel=%E5%91%A8%E8%8E%AB%E7%83%A6)\n3. [War Robots - Siraj Raval](https://www.youtube.com/watch?v=tm5kQmjfZN8&ab_channel=SirajRaval)"
  }
]